Solve for x.
2
8
4
X

Solve For X.284X

Answers

Answer 1

Answer:

Impossible

Step-by-step explanation:

This diagram is not correctly stating the question


Related Questions

Monday through Thursday of this week, Raphael ran a total of 7 3/5 miles. How many miles will he need to run on Friday so that he will have a total of 11 1/2 miles for the week?

Answers

Raphael needs to run 3.9 miles on Friday so that he will have a total of 11 1/2 miles for the week.

What is Subtraction ?

An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction.

Raphael ran a total of 7 3/5 miles through Monday to Thursday.

We'll convert it from mixed fraction to simple fraction :

7 3/5 miles = [(7×5) + 3] / 5

                   = 38/5 miles.

He wants to have a total of 11 1/2 miles for the week.

Again, we will convert it into simple fraction :

11 1/2 miles = [(11×2) + 1 ] / 2

                  = 23/2 miles.

Let's he needs to run x miles to a total of 23/2 miles.

So, x + 38/5 = 23/2

     x = 23/2 - 38/5

        = [(23×5) - (38×2)] / 10

        =  (115 - 76)/10

        = 39/10 miles = 3.9 miles.

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Find an equation for (-8,1) parallel to x-4y=4

Answers

Answer:

y = 1/4x + 1

Step-by-step explanation:

The National Center for Education Statistics keeps careful records of the number of degrees awarded in the United states. ⢠Let f(t) model the number of PhDs awarded to men in terms of the number of years after 1980, t. ⢠Let g(t) model the number of PhDs awarded to women in terms of the number of years after 1980, t. f(t) e(t) ⢠Let h(t) model the ratio of the number of PhDs awarded to men compared to women in the U.S. in terms of, t. That is h(t) Given that h(t) = 2.8 for some value of t, which of the following statements is true? O For that value of t, women in the U.S. earned 2.8 more PhDs than men O For that value of t, men in the U.S. earned more PhDs than women. O For that value of t, women in the U.S. earned 2.8 times as many PhDs as men. O For that value of t, men in the U.S. earned 2.8 more PhDs than women. O For that value of t, women in the U.S. earned 2.8 times as many PhDs as men.

Answers

When t is that value, American men earned 2.8 more PhDs than women.

The given equation for h(t) is h(t) = f(t)/g(t), where f(t) models the number of PhDs awarded to men and g(t) models the number of PhDs awarded to women.

Since h(t) = 2.8 for some value of t, this means that the number of PhDs awarded to men is 2.8 times the number of PhDs awarded to women. Therefore, for that value of t, men in the U.S. earned 2.8 more PhDs than women.

The equation h(t) = f(t)/g(t) models the ratio of the number of PhDs awarded to men compared to women in the U.S., where f(t) models the number of PhDs awarded to men and g(t) models the number of PhDs awarded to women. Thus, if h(t) = 2.8 for some value of t, it means that the number of PhDs awarded to men is 2.8 times the number of PhDs awarded to women. In other words, for that value of t, men in the U.S. earned 2.8 more PhDs than women. This indicates that more men have received PhDs than women in the U.S. over the past few decades. The National Center for Education Statistics has kept track of this data and it is clear that men are receiving more degrees than women in the U.S.

h(t) = f(t)/g(t)

h(t) = 2.8

f(t) = 2.8g(t)

Therefore, for that value of t, men in the U.S. earned 2.8 more PhDs than women.

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7. Sylvia went on a trip. The number of shirts she packed was 2 fewer than twice the number of pants
she packed. The total number of pairs of pants and shirts was 16.
A. Let x the number of pants she packed and let y = the number of shirts she packed. Write a system of
equations to represent the problem.
B. Solve the system of equations using substitution to find the number of shirts and pairs of pants Sylvia
brought.

Answers

Answer:

10 shirts, 6 pants

Step-by-step explanation:

Let y = the number of shirts

Let x = the number of pants

y + 2 = 2x

x + y = 16

y = 2x - 2

x + (2x - 2) = 16

3x = 18

x = 6

y + 6 = 16

y =  10

Answer:

[tex]\textsf{A.} \quad \begin{cases}y=2x-2\\x+y=16\end{cases}[/tex]

[tex]\textsf{B. \quad 6 pants and 10 shirts}[/tex]

Step-by-step explanation:

Part A

Given variables:

Let x = the number of pants Sylvia packed.Let y = the number of shirts Sylvia packed.

If the number of shirts Sylvia packed was 2 fewer than twice the number of pants she packed:

[tex]\implies y=2x-2[/tex]

If the total number of pairs of pants and shirts was 16:

[tex]\implies x+y=16[/tex]

Therefore, the system of equations that represents the problem is:

[tex]\begin{cases}y=2x-2\\x+y=16\end{cases}[/tex]

Part B

System of equations:

[tex]\begin{cases}y=2x-2\\x+y=16\end{cases}[/tex]

Substitute the first equation into the second equation and solve for x:

[tex]\implies x+2x-2=16[/tex]

[tex]\implies 3x-2=16[/tex]

[tex]\implies 3x=18[/tex]

[tex]\implies x=6[/tex]

Substitute the found value of x into the first equation and solve for y:

[tex]\implies y=2(6)-2[/tex]

[tex]\implies y=12-2[/tex]

[tex]\implies y=10[/tex]

Therefore, Sylvia packed:

6 pants10 shirts

Find the probability of no more than 2
successes in 5 trials of a binomial
experiment in which the probability of
success in any one trial is 18%.

Answers

Answer:

To find the probability of no more than 2 successes in 5 trials of a binomial experiment in which the probability of success in any one trial is 18%, we can use the formula for the probability mass function of the binomial distribution:

P(X = k) = (n choose k) * p^k * (1 - p)^(n-k)

Where:

X is the number of successes in the binomial experiment

n is the number of trials

p is the probability of success in any one trial

k is the number of successes we are interested in

So, in this case, we want to find the probability of X being equal to 0, 1, or 2 successes. We can do this by summing the probabilities of each of these events:

P(X = 0) + P(X = 1) + P(X = 2)

Plugging in the values from the problem, we get:

P(X = 0) = (5 choose 0) * (0.18)^0 * (1 - 0.18)^(5-0) = 0.3199

P(X = 1) = (5 choose 1) * (0.18)^1 * (1 - 0.18)^(5-1) = 0.4199

P(X = 2) = (5 choose 2) * (0.18)^2 * (1 - 0.18)^(5-2) = 0.2082

So the probability of no more than 2 successes in 5 trials of a binomial experiment in which the probability of success in any one trial is 18% is:

0.3199 + 0.4199 + 0.2082 = 0.948

Step-by-step explanation:

Sheryl creates a scatter plot to analyze how an increase in the outside temperature above 52°F affects the sale of hot chocolate at her shop. The line shown on the graph is the line of best fit for the data. Which statements are true about the graph? Select all that apply.
1. The y-intercept represents the orders for hot chocolate on a day when the outside temperature was 52°F.
2. Sheryl gets 160 orders for hot chocolate on a day when the outside temperature is 52°F.
3. Sheryl gets 2 fewer orders for each degree increase above 52°F in the outside temperature.
4. Sheryl gets 16 fewer orders for each degree increase above 52°F in the outside temperature.

Answers

The true statements about the graph are 1, 2, and 3.

What is a line of fit?

A line of the best fit is a straight line that reduces the distance between it and some data. The line of best fit is used to represent a relationship in a scatter plot with numerous data points.

Given:

The temperature above 52° F affects the sale of hot chocolate at her shop,

As you can see from the graph, the y-axis shows the orders for hot chocolate on a day when the outside temperature was 52° F.

From the graph,

at x = 0, y = 160

Thus, Sheryl gets 160 orders for hot chocolate on a day when the outside temperature is 52° F

At x = 0, y = 160 and at x = 16, y = 128

So the difference is 160-128 / 16 - 0 = 2

Thus, Sheryl gets 2 fewer orders for each degree increase above 52° F in the outside temperature.

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All of the following are equivalent forms of 9/11 except _____.




18
22
1.22
0. 81

Answers

I think the answer is 1.22
All of the given options are equivalent forms of 9/11 except 0.81. The correct answer is either 18, 22, or 1.22.

Help for Pre Calc please

Answers

The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

[tex]f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}[/tex]; f^(-1)(x) is not a function.

How to obtain the inverse function?

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

[tex]y = \pm \sqrt[4]{\frac{x}{4}}[/tex]

[tex]f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}[/tex]

[tex]f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}[/tex]

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

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10+2a<4 PLSS HELPPPP SOLVE FOR A ⚠️⚠️⚠️

Answers

[tex]10+2a < 4[/tex]

Simplify:

[tex]2a+10 < 4[/tex]

Subtract 10 from both sides:

[tex]2a+10-10 < 4-10[/tex]

[tex]2a < -6[/tex]

Divide both sides by 2:

[tex]\dfrac{2a}{2} < \dfrac{-6}{2}[/tex]

[tex]a < -3[/tex]

[tex]\fbox{Second Option}[/tex]

Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.

1204.2 + 4.72613 = [?]

The answer is not 1208.92613​

Answers

The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

What is an addition operation?

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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For the equation f(x) = 1.1 * (0.44) ^ x state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x

c = (Type an integer or a decimal)

a = (Type an integer or a decimal)

R = % (Simplify your answer. Type an integer or a decimal)

Answers

The parameters of the exponential function in this problem are given as follows:

c = 1.1.a = 0.56.R = -56%.

What is an exponential function?

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

c is the initial value, value assumed by y when t = 0.a is the decay rate.

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

c = 1.1, which is the initial value.a = 0.56, as 1 - a = 0.44 -> a = 0.56.

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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A rental car company charges $71.87 per day to rent a car and $0.09 for every mile driven. Aaliyah wants to rent a car, knowing that: She plans to drive 475 miles. She has at most $320 to spend. Which inequality can be used to determine dd, the maximum number of days Aaliyah can afford to rent for while staying within her budget?

Answers

Answer:

To rent a car from this company, Aaliyah will be charged a base rate of $71.87 per day, plus $0.09 for every mile she drives. In total, she plans to drive 475 miles, so she will be charged an additional $0.09 * 475 = $42.75 for the miles she drives.

The total cost of renting the car for one day will therefore be $71.87 + $42.75 = $114.62.

Aaliyah has a budget of $320, so she can afford to rent a car for a maximum of $320 / $114.62 = 2.79 days. However, since she can only rent the car for whole number of days, the maximum number of days she can afford is 2 days.

The inequality that can be used to determine the maximum number of days Aaliyah can afford to rent while staying within her budget is:

dd <= 2

Where dd is the number of days she plans to rent the car for. This inequality states that the maximum number of days Aaliyah can afford is 2.

What is 555,555 rounded to the nearest hundred thousand?

Answers

Answer:

6 hundred thousand

Step-by-step explanation:

there is 6 numbers in total.Each number is 5.The next number should be 6.

Select the correct answer.
Naomi is building a circuit board. The final microchip should have a surface area of 864 square millimeters. The height of the microchip can be a
maximum of 4 millimeters. What are the maximum dimensions of the microchip she can use?

Answers

The maximum dimension of a rectangular microchip she can use is 12 mm and 24 mm.

What is the maximum dimension of a rectangular microchip?

A rectangular microchip, commonly known as an integrated circuit or chip, resembles a flat rectangle approximately small in size with a slew of wires designated by pins protruding from it.

The maximum dimension of a rectangular microchip can be determined by finding its length and width.

From the information given:

The surface area of the microchip = 864 mm²The height of the microchip = 4 mm

The surface area of the rectangle can be expressed by using the formula:

S = 2(lw + lh + wh)

where;

l = 2xw = xh = 4

The surface area then becomes:

864 = 2(2x² + 8x + 4x)

Divide both sides by 2, and we have:

432 = 2x² + 12x

We can now have a quadratic expression as:

2x² + 12x - 432 = 0

x² + 6x - 216 = 0

using the  factorization method;

(x + 18) (x - 12) = 0

x = - 18 or x = 12;

Since x cannot be negative, then x = 12. Therefore, width = 12 mm, and the length = 2(12) = 24 mm. Therefore, we can conclude that the maximum dimension of the microchip she can use is 12 mm and 24 mm.

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Answer:

I went with B. 9 mm and 18 mm   PLATO

Step-by-step explanation:  mad maths skills

if s is the part of the sphere that lies above the cone find the following: 1. s can be parametrized by a vector equation

Answers

If surface , S is the part of the sphere, x² + y²+ z² =1 ,lies above the cone, x² + y² = z

a)| ⃗rᵩ × ⃗rθ| = ⟨sin²φ cosθ,sin²φsinθ, sinφcosφ⟩

b)∫∫ z² ds = ₀∫ˣ₀∫ʸcos²φ dφdθ,

S

where x = 2π and y = π/4

What is Parametrizing Surfaces?

A surface in space given in Cartesian coordinates as f(x,y,z) = 0, can be parametrized as a vector function with two parameters,

r(u,v)= ⟨r₁(u,v) , r₂(u,v) , r₃(u,v)⟩ , (u,v)∈R²

We have, S is a part of Sphere , x² + y²+ z² =1 , lies above the cone, x² + y² = z and surface S parametrized by following vector equation ,

r(θ, φ) = ⟨sinφ cosθ , sinφsinθ,cosφ⟩ --(1)

⃗rᵩ = ∂r/∂φ =⟨cos φ cosθ,cos φ sinθ,-sin φ⟩

⃗rθ= ∂r/∂θ=⟨- sinφ sinθ , sinφ cosθ ,0⟩

| ⃗rᵩ × ⃗rθ| =| i j k |

|cosφcosθ cosφ sinθ -sinφ |

|- sinφsinθ sinφ cosθ 0 |

= i( 0 + sinφ cosθsinφ) -j(0- (- sinφsinθ)(-sinφ)) + k(sinφ cosθ cosφcosθ - (-sinφ sinθ ) cosφ sinθ)

= (sin²φcosθ )i + (sin²φsinθ)j + (sinφcosφ(sin²θ+cos²θ))k

= sin²φcosθ )i + (sin²φsinθ)j +(sinφcosφ)k

| ⃗rᵩ× ⃗rθ|=⟨sin²φcosθ ,sin²φsinθ,sinφcosφ⟩

b) from part (a) we get,

x = sinφ cosθ

y = sinφsinθ

z = cosφ

are spherical coordinates of S where, 0≤φ≤π/4 and 0≤ θ≤ 2π.

so, ∫∫ z² ds = ₀∫ˣ₀∫ʸcos²φ dφ dθ ,

S

where x = 2π and y = π/4

So,Surface integeral is equals to ₀∫ˣ₀∫ʸcos²φ dφ dθ.

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Complete question:

If Sis the part of the sphere x2 + y2 + x2 = 1 that lies above the cone z= x2 + y2, find the following: a)S can be parametrized by a vector equation

r(θ, φ) = ⟨sinφ cosθ , sinφsinθ , cosφ ⟩ then a)| ⃗rᵩ × ⃗rθ| = ?

b) ∫∫ z² ds = ?

S

Distribute to create an equivalent expression with the fewest symbols possible.
(1−2g+4h)⋅5=

Answers

Answer:

5−10g+20h

Step-by-step explanation:

To distribute the 5 to the terms inside the parentheses, we can use the distributive property:

(1−2g+4h)⋅5 = 5⋅1−5⋅2g+5⋅4h

= 5−10g+20h

This is the simplest equivalent expression we can get, as there are no more terms that can be combined.

Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.

1204.2 + 4.72613 = [?]

The answer is not 1208.92613 / 1200 ​

Answers

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

In angle DEF, BD = 87 and WE = 38. Find BW, CW, and CE.

Answers

Answer:

Step-by-step explanation:

The value of y is unclear given the information provided. However, if BC intersects AD at E, then it stands to reason that y would be equal to the value of x. This is because, if BC intersects AD at E, then the two lines are parallel and therefore have the same value for y. Calculating the internal angles of triangle DEF, we can find the length of BW, CW and CE. Since BD=87 and WE=38, the remaining angle must be 55°. Therefore, using trigonometry and the known side lengths, we can calculate BW = 87 sin 55° = 77.5  , CW = 87cos55° = 48.5  and CE = 38sin55° = 33.2 . As you can see then, these are all easily calculable from the given data. In angle DEF, BD = 87 and WE = 38. Therefore, BW = 87 - 38 = 49, CW = 49 - 38 = 11, and CE = 11 - 1 = 10.

The Federal Helium Reserve held about 16 billion
cubic feet of helium in 2010 and is being depleted by
about 2.1 billion cubic feet each year.
a. Give a linear equation for the remaining federal
helium reserves, R, in terms of t, the number of
years since 2010.
b. In 2015, what will the helium reserves be?
c. If the rate of depletion doesn’t change, in what year
will the Federal Helium Reserve be depleted

Answers

a) The linear equation for R(t) is given as follows: R(t) = -2.1t + 16.

b) The helium reserves in 2015 will be of: 5.5 billion.

c) The reserve will be depleted in the year of: 2018.

How to define the linear function?

The linear function in this problem has the definition in slope-intercept format presented as follows:

R(t) = mt + b.

In which:

The slope m represents the yearly rate of change of the amount of the reserves.The intercept b represents the initial amount of the reserves.

Considering the measures in billions, the parameters are given as follows:

m = -2.1, b = 16.

Then the equation is defined as follows:

H(t) = -2.1t + 16.

2015 is five years after 2010, hence the estimate is calculated as follows:

H(5) = -2.1(5) + 16 = 5.5 billion.

The reserve will be depleted in the year t + 2010 + 1, when R(t) = 0, hence:

-2.1t + 16 = 0

2.1t = 16

t = 16/2.1

t = 7.61 years.

Hence the reserves will be depleted during the year of 2018.

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Please answer this question.

Answers

By applying vertical compression by a factor of 3, then vertical reflection and finally horizontal translation by 1 unit to the right we can transform into required graph.

What if transformation?

A transformation is a mathematical operation that changes the position, size, or shape of a geometric object. In other words, it is a way to manipulate the object by moving, scaling, rotating, or reflecting it.

What is reflection?

Reflection is a transformation that flips an object over a mirror line, or line of reflection. It creates a mirror image of the object on the other side of the line.

In mathematics, reflection is often represented by a matrix called the reflection matrix. This matrix encodes the rules for reflecting points in a particular direction.

To transform the graph of y = x^2 into y = -3(x+1)^2, we can apply the following transformations:

Vertical stretch or compression by a factor of 3: This transformation stretches or compresses the graph vertically by a factor of 3. To apply this transformation, we need to multiply the y-values of the points on the graph by 3.

Vertical reflection: This transformation reflects the graph across the x-axis. To apply this transformation, we need to multiply the y-values of the points on the graph by -1.

Horizontal translation by 1 unit to the right: This transformation shifts the graph 1 unit to the right. To apply this transformation, we need to add 1 to the x-values of the points on the graph.

Applying these transformations to the graph of y = x^2, we get the graph of y = -3(x+1)^2.

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The following standards for variable overhead have been established for a company that makes only one product:



Standard hours per unit of output 3.6 hours
Standard variable overhead rate $16.05 per hour


The following data pertain to operations for the last month:



Actual hours 5,000 hours
Actual total variable overhead cost $80,000
Actual output 1,300 units


Required:

a. What is the variable overhead rate variance for the month?

b. What is the variable overhead efficiency variance for the month?

Answers

Answer:

Step-by-step explanation:

the following standards for variable manufacturing overhead havebeen established for a company that makes only one product:standard hours per unit of output.. 5.6 hoursstandard variable overhead rate. $19.15 per hourthe following data pertain to operations concerning the productfor the last month:actual hours .. 5,100

The y-intercept can be described all except for one of them. Identify the statement that does not always represent the y-intercept.

Answers

Where are the options?

Oscar bought 4/5 of a kilogram of clay for the students in his pottery class. He then divided the clay evenly into pieces that were 1/5 of a kilogram. Into how many pieces did Oscar divide the clay?

Answers

To calculate the number of pieces into which Oscar divided the 4/5 kilogram of clay, we need to divide the total weight of the clay by the weight of each piece. We can do this by first converting the weight of the clay to kilograms and then dividing it by the weight of each piece. The weight of the clay in kilograms is 4/5 * 1 kilogram = 0.8 kilograms. And the weight of each piece is 1/5 * 1 kilogram = 0.2 kilograms. So, to find the number of pieces into which Oscar divided the clay, we divide the total weight of the clay by the weight of each piece, giving us 0.8 kilograms / 0.2 kilograms/piece = <<0.8/0.2=4>>4 pieces. Thus, Oscar divided the 4/5 kilogram of clay into 4 pieces.

The following data are available in monetary value: - buildings and structures
36,000; - machinery and equipment - 18,600; - spare parts for repair - 608; - raw materials and materials - 7020. The cost of fixed assets will be:


1) 64 258

2) 56 630

3) 57 238

4) 54 600

Answers

1

The answer is 1 because if u use your brain you'd understand

The cost of the fixed assets will be $64258. The correct option is 1.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the data is, 36,000; - machinery and equipment - 18,600; - spare parts for repair - 608; - raw materials and materials - 7020.

The cost of the fixed assets will be calculated by adding all the values,

Cost = 36000 + 608 + 18600 + 7020

Cost = 62228 ≈ 64258

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The costs (in dollars) of 10 college math textbooks are listed below. ( 16 pts)) 70 72 71 70 69 73 69 68 70 71 a) Find the median. b) Find the sample mean. ( 4pts) c) Find the sample variance and standard deviation. Create the table. (

Answers

Given the costs of 10 college math textbooks, we can calculate that:

a. The median is 70

b. The mean is 70.3

c. The variance is 2.01 and the standard deviation is 1.42

Median, mean, variance, and standard deviation

Median, mean, variance, and standard deviation are very basic but very important concepts of statistics.

Median is the middle value of the data that has been arranged sequentially from the smallest to the largest.

The median for the number of data (n) is odd:

[tex]M_{e} = x_{(\frac{n+1}{2} )}[/tex]

The median for the number of data (n) is even:

[tex]M_{e} = \frac{1}{2} (x_{(\frac{n}{2})} + x_{(\frac{n}{2} +1)} )[/tex]

Mean is the average of all data in a sample group, which is obtained by adding up all the data values, then dividing by the number of samples.

[tex]Mean = \frac{Sum of all data}{size of data (n)}[/tex]

Variance is a value that describes the variation of data, by measuring how far each piece of data is spread from the average of a data set.

[tex]Variance = \frac{sum (x_{i} - mean)^{2}}{n}[/tex]

Standard Deviation is a measure of the spread of observations in a data set relative to their mean. it measures how many observations in a data set differ from the mean and is the square root of the variance.

σ = [tex]\sqrt{variance}[/tex]

To do the problem, we first create a table for the given data.

Then we calculate the median as follows:

[tex]M_{e} = \frac{1}{2} (x_{(\frac{n}{2})} + x_{(\frac{n}{2} +1)} )\\= \frac{1}{2} (x_{5} + x_{6} )\\[/tex]

= 1/2 (70 + 70)

= 70

After that, we calculate the mean as follows:

[tex]Mean = \frac{Sum of all data}{size of data (n)}[/tex]

= (70 + 72 + 71 + 70 + 69 + 73 + 69 + 68 + 70 + 71) / 10

= 703 / 10

= 70.3

Now we calculate the difference between the data and the mean and put it into the table, and find the sum.

Then we can calculate the variance as follows:

[tex]Variance = \frac{sum (x_{i} - mean)^{2}}{n}[/tex]

= 20.1 / 10

= 2.01

Standard deviation can be calculated from the variance:

σ = [tex]\sqrt{variance}[/tex]

= [tex]\sqrt{2.01}[/tex]

= 1.42

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the measure of one angle of a right is 23 degrees. Find the measure of the other angle

Answers

Answer:  The measure of the three angles is 23, 67, and 90.

Step-by-step explanation:

The sum of three angles is equal to 180. We set the equation as:

x + 23 + 90 = 180

       x + 113 = 180

                x = 67

The measure of the three angles is 23, 67, and 90.

Write an expression equivalent to (2/5)^4 using a positive exponent.

Answers

According to the given statement the positive exponent is [tex]\frac{16}{625}[/tex].

What do an exponent and an example mean?

Exponents are a method of expressing enormous magnitudes in terms of their respective powers. The amount of times some number has already been multiplied in itself is the exponent, so to speak. For instance, the result of multiplying the number 6 on it's own four times is 6 6 6 6. This may be expressed as 64. Here, the exponent and base are 4 and 6, respectively.

The solution to powers and exponents.

The exponent is the exact quantity of times that base would be compounded on its own. As a result, if two powers have the same foundation, they can be multiplied. Whenever two powers are multiplied, exponents are added. If necessary, we can also divide the abilities.

Briefing:

= [tex]( \frac{2}{5} )^{4}[/tex]

= [tex]\frac{2}{5} \times\frac{2}{5} \times\frac{2}{5} \times\frac{2}{5} \\\\\frac{16}{625}[/tex]

Hence, the required exponent is [tex]\frac{16}{625}[/tex].

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What is the area of a right triangle with a height of seven and three fourths yards and a base of 20 yards?

A: 140 yds2
B: 155 yds2
C: thirty eight and three fourths yds2
D: seventy seven and one half yds2

Answers

Area of a triangle will be base multiplied by height divided by two. So 20x7.75/2= 77.5
Answer: D

Explanation:

NO LINKS!! (NOT MULTIPLE CHOICE)

Use the formula A = P( 1 + r/n)^(nt) to calculate the balance A of an investment (in dollars) when P = $4000, r = 4%, and t= 10years, and compunding is done by the day, by the hour, by the minute, and by the second. (Round your answers to the nearest cent).

a. compounding by the day: A= $

b. compounding by the hour: A= $

c. compounding by the minute: A= $

d. compounding by the second: A= $


Does increasing the number of compoundings per year result in unlimited growth of the balance? yes or no (choose one)

Answers

Answer:

a. compounding by the day: A = $5967.17

b. compounding by the hour: A = $5967.29

c. compounding by the minute: A = $5967.30

d. compounding by the second: A = $5967.30

Step-by-step explanation:

     

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Part (a)

If the interest is compounding by the day then n = 365.

Given:

P = $4000r = 4% = 0.04n = 365t = 10 years                  

Substitute the values into the compound interest formula and solve for A:

[tex]\implies A=4000\left(1+\dfrac{0.04}{365}\right)^{365 \times 10}[/tex]

[tex]\implies A=4000\left(1.00010958...\right)^{3650}[/tex]

[tex]\implies A=4000(1.49179200...)[/tex]

[tex]\implies A=5967.16801...[/tex]

[tex]\implies A=\$5967.17[/tex]

Part (b)

If the interest is compounding by the hour then:

n = 365 × 24 = 8760

Given:

P = $4000r = 4% = 0.04n = 8760t = 10 years                  

Substitute the values into the compound interest formula and solve for A:

[tex]\implies A=4000\left(1+\dfrac{0.04}{8760}\right)^{8760 \times 10}[/tex]

[tex]\implies A=4000\left(1.00000456...\right)^{87600}[/tex]

[tex]\implies A=4000\left(1.49182333...\right)[/tex]

[tex]\implies A=5967.29333...[/tex]

[tex]\implies A=\$5967.29[/tex]

Part (c)

If the interest is compounding by the minute then:

n = 365 × 24 × 60 = 525600

Given:

P = $4000r = 4% = 0.04n = 525600t = 10 years          

Substitute the values into the compound interest formula and solve for A:

[tex]\implies A=4000\left(1+\dfrac{0.04}{525600}\right)^{525600 \times 10}[/tex]

[tex]\implies A=4000\left(1.00000007...\right)^{5256000}[/tex]

[tex]\implies A=4000(1.49182466...)[/tex]

[tex]\implies A=5967.29867...[/tex]

[tex]\implies A=\$5967.30[/tex]

Part (d)

If the interest is compounding by the second then:

n = 365 × 24 × 60 × 60 = 31536000

Given:

P = $4000r = 4% = 0.04n = 31536000t = 10 years                  

Substitute the values into the compound interest formula and solve for A:

[tex]\implies A=4000\left(1+\dfrac{0.04}{31536000}\right)^{31536000 \times 10}[/tex]

[tex]\implies A=4000\left(1.00000000...\right)^{315360000}[/tex]

[tex]\implies A=4000\left(1.49182390...\right)[/tex]

[tex]\implies A=5967.29562...[/tex]

[tex]\implies A=\$5967.30[/tex]

The more compounding periods throughout the year, the higher the future value of the investment.  However, the difference between compounding by the day and compounding by the second results in a difference of 13 cents over the year, which is negligible comparatively.

to test whether or not there is a difference between treatments a, b, and c, a sample of 12 observations has been randomly assigned to the 3 treatments. you are given the results below.

Answers

The required null hypothesis of the given observation is μ1 = μ2 = μ3.

What is the null hypothesis?

The null hypothesis is a typical mathematical theory that asserts that there is no statistical relationship and significance between two sets of observed data and measured phenomena for each set of specified, single observable variables.

The null hypothesis can be evaluated to determine whether or not there is a relationship between two measured phenomena, which makes it valuable.

It can let the user know if the outcomes are the product of random chance or deliberate manipulation of a phenomenon.

The null hypothesis, often known as "H-nought," "H-null," or "H-zero," is written as H0 to distinguish it from other hypotheses.

The null hypothesis of the given observation:

μ1 = μ2 = μ3

Therefore, the required null hypothesis of the given observation is μ1 = μ2 = μ3.

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Complete question:
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below.

Treatment

Observations

A

20

30

25

33

B

22

26

20

28

C

40

30

28

22

The null hypothesis for this ANOVA problem is?

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