A test requires that you answer either part A or part B. Part A consists of 6 true-false questions, and part B consists of 6 multiple-choice questions with one correct answer out of six. How many different completed answer sheets are possible?

The largest of three consecutive odd integers whose sum is 111 is 39

Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." As a result, fractions and decimals are not included in integers.

Odd integers that follow each other grow (or shrink) by a factor of 2. Consider the numbers 1, 3, and 5. Add two to the preceding number to move from one to the following. You don't know where to begin, and that is the issue here. In actuality, you are searching for the least of the three integers, therefore this is your unknown.

x + (x + 2) + (x + 4) = 111

x + x + 2 + x + 4 = 111

3x + 6 = 111

3x = 105

x =[tex]\frac{105}{3}[/tex]

x = 35

35 ,37,39

The largest of three consecutive odd integers whose sum is 111 is 39

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Total of flights on time: 22 + 53 = 75

probability that the flight selected was silicon Rosa United Airlines:

53/75 = 0.71 = 71%

d93 /dx93 *(cos x) = - sin x

Now,

d/dx (cos x ) = -Sin x

d2/dx2 (cos x) = - cos x

d3/dx3 (cos x) = sin x

d4/dx4 (cos x) = cos x

d5/dx5 (cos x) = - sin x

d6/dx6 (cos x) = -cos x

The same pattern will repeat for every 6th derivative so ,

Now,

93 = (4 x 23) + 1

Therefore,

d93 /dx93 *(cos x) = - sin x

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Based on the information given, the standard deviation for the observation is: 23.802698 or approximately 24.

The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

The formula for Standard deviation is given as:

σ[tex]= \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} .[/tex]

Where

σ = population standard deviation

[tex]\bar x[/tex] =  mean

x = each value of the population

n = number of observation

Note that mean ([tex]\bar x[/tex]) = [tex]\( \frac{1}{n} \sum_{i=i}^{n} x_{i} \),[/tex]

[tex]\bar x[/tex] = (5+10+10+10+10+12+15+20+20+25+30+30+40+40+60+60+65+70+70+70)/20

= 33.6

Hence the standard deviation for travel times for these  20 New York workers is:

Standard Deviation = [tex]\sqrt{\frac{\sum(x_{1} - {\bar x})^{2} }{n-1} }[/tex]

= √ [(5-33.6)²+ (10 - 33.6)² + .... + (70 - 33.6)²]/(20-1)]

Standard Deviation = √(10764.8)/(20-1)

SD = √(10764.8/19)
SD = √566.56842
SD = 23.802698

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Full Question:

How long do people spend traveling to work? The answer may depend on where they live here are the travel times in minutes for 20 workers in New York chosen at random by the census bureau:

5 10 10 10 10 12 15 20 20 25 30 30 40 40 60 60 65 70 70 70

What is the standard deviation for travel time for these 20 New York state workers?

Answer:

127160224

or use a calculator

The critical value of the given function is = -11/2

The x values for which f'(x) = 0 are the crucial values of a function f(x).

The function in this quandary is:

h(x) = x−1⁄3 (x − 12)

The derivative is discovered using the quotient rule as follows:

[tex]h(x) = \frac{x - 1}{3(x - 12)} \\\\h'(x) = \frac{ (x-1) (3x - 36)' - (x - 1)'(3x - 36)}{(3x - 36)^{2} }\\\\h'(x) = \frac{ (x-1) (3) - (-1)(3x - 36)}{(3x - 36)^{2} }\\\\On equating it to 0\\\\\frac{ (x-1) (3) + 1(3x - 36)}{(3x - 36)^{2} } = 0\\\\3x - 3 + 3x + 36 = 0\\\\6x + 33 = 0\\\\x = \frac{-11}{2}[/tex]

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Answer:

since the method is deemed to have no effect

which means probability of having a girl child is same as having a boy child which is 0.5

Total births = 18

Therefore, expected number of girls in groups should be equal to = 0.5 × 18 = 9

I hope this is helpful

Solution

Step 1

The terminal side, containing point (-3, 4) is located in Quadrant 2.

sine is positive

cosine and tangent are both negative.

Step 2

Draw a diagram to illustrate the information

Step 3

Step 4:

Final answer

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given equation

STEP 2: Substitute 3 for b in the equation

STEP 3: Simplify the equation to solve for a

Hence, the value of a is 15

The Solution:

Given that a car that cost $10500 was offered as a loan with a down payment of $800.

This means the loan balance will now be:

The loan payment plan is a monthly payment of $187.53 for 60 months.

We are required to find how much was paid in interest.

We shall take the difference between the total payment and the loan balance.

Therefore, the correct answer is $1552

The parabola y = - 0.5x² + 2 opens downwards and the vertex is at (0,2) .

A parabola is a mirror-symmetric planar curve with a rough U-shape. It can be defined by many seemingly unrelated mathematical descriptions that all relate to the same curves.

One way to interpret a parabola is with a line and a point (the focus) (the directrix). The directrix is less significant. The parabola lies between the directrix or the focus and the endpoints in this plane that are uniformly spaced apart.

a) y=-0.5x² + 2 vertex is at (0,2)

c) y = -0.1x² - 6 vertex at (0,6)

d)y=x²+4 vertex at (0,-4)

e) y=-3x²-5 vertex at (0,5)

g)y=8x²+4 vertex at (0,-4)

h) y=-0.7x²-3 vertex at (0,3)

A parabola can also be thought of as a conic section formed by joining a right circular conical area with a plane perpendicular to another axis.

The graph of the parabola is attached below.

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Answer:

m=1

Step-by-step explanation:

Answer:

$33,187

Step-by-step explanation:

Our total is 71,482 so let's set our equation to 71482=_________

Now we have $38,295 for one car, and we will subtract it from the total to find the other car, as there are 2 cars.

Equation:

71482-38295=x OR 71482=38295+x

X is the cost of the second car.

The given inequality has the following solution set

9.52 ≤ x ≤ 22.22

If we express this as an interval, we get [9.52, 22.22].

Here is the inequality which is Kali's earning potential

200 ≤ 15.75x + 50 ≤ 400

To solve the inequality, we must isolate the variable in the center; if we remove 50 from each of the three sides, we get:

200 - 50 ≤ 15.75x + 50 - 50 ≤ 400 - 50

150 ≤ 15.75x ≤ 350

Now we must divide both totals by 15.75, yielding:

150/15.75 ≤ 15.75x/15.75 ≤ 350/15.75

9.52 ≤ x ≤ 22.22

This is the inequality's solution; the solution set expressed as an interval will be [9.52, 22] or 9.52 ≤ x ≤ 22.22

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The value of of angle x of the circumscribing circle is x° = 140°

In the above question, the following figure is given, where

The angle inside the circle made by the intersection of two line segments is = 40°

We need to find the angle x made by the angle made by the tangents outside the circle

A line that touches a curve or a circle at one point is said to be tangent.

The point of tangency is the intersection of the tangent line and the curve.

We'll find the value of of angle x using the theorems of the circumscribing   circle.

The sum of opposite angles of a circumscribing quadrilateral is always 180°

Using this property we can write,

40° + x° = 180°

x° = 180° - 40°

x° = 140°

Hence, the value of of angle x using the theorems of the circumscribing   circle is x° = 140°

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Answer:

let's say you need to find the absolute value of -5 the answer would be 5.

Step-by-step explanation:

Since the distance between -5 and 0 in a number line is 5. This would also be applied If you you were trying to find the absolute value of 5. it would also be 5.

When in math, I figured out negative number's absolute value will always be positive. absolute value numbers of positive numbers will stay the same.

Answer:

I think it is y

Step-by-step explanation:

Answer:

9 cm

Explanation:

We are given the following information:

Diameter = 24 cm

Angle FOG = 3/4 rad

The formula for calculating arc length is written below:

Therefore, the arc length is 9 cm

Answer: (x, y) = (-8/5, -9/5)

The minimum result (to 2 dp) of a / b is 38.66

Given:

a=460 rounded to the nearest 10

b=11.9

Now, substitute the values of a and b in a/b,

a/b = 460/11.9

Multiply the same integer(10) by both the numerator and denominator,

a/b = 4600/119

Round the number obtained

a/b ≅ 38.66

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Remember that

27=(3)(3)(3)=3^3

so

answer is 9

so

9 NA

blank 1 ------> 9

blank 2 ------> NA

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

Thus, the centra angle of that shaded area is 72º

Notice that we are dealing with simple interest, and therefore given by the formula:

I = P * R * T

where P = $34,011

R = 6% in "decimal" form (0.06)

T = 4 (for 4 years)

Then, we have:

I = 34011 * 0.06 * 4 = $8162.64

This is the interest Brittany earned in 4 years.

After 2.14 hours the trains are exactly 300 miles apart.  

Two trains leave the same station at the same time, one traveling west at a constant speed of 60 miles per hour, the other traveling south at a constant speed of 80 miles per hour.

The time both of them will travel 300 miles can be calculated as follows:

Therefore,

speed = distance / time

distance = speed × time

The train that travel west:

let

t = time of the train that travel west

distance = 60t

The train that travel south:

distance = 80t

Therefore,

total distance = 60t + 80t

300 = 140t

t = 300 / 140

t = 2.14285714286

t = 2.14 hours

Therefore,

time taken  = 2.14 hours

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Answer:

-9

Step-by-step explanation:

We are working with multiplications and divisions, which have no precedence over each other. So we can do the operations in order. It is important to remind that in these operations, if two numbers have different signals, the result of the operation is negative, otherwise, positive.

-36 ÷ 1/4

Different signals, so the result will be negative

-36 ÷ 1/4 • (-1/8) = -144 * (-1/8)

Same signal, so positive

-36 ÷ 1/4 • (-1/8) • (-3) = 18 * (-3) = -54

-36 ÷ 1/4 • (-1/8) • (-3) ÷ 6​ = -54 ÷ 6​ = -9

The vertex form is y= (x+ 6)²+1.

The vertex form of a quadratic equation is y = a (x- h)² + k as opposed to the regular quadratic form, which is an x² + bx + c = y. In both cases, the variables that indicate whether the parabola is facing up (+ a) or down ( a) are y, the y-coordinate, x, and a.

a=1

b=12

c=37

Consider the vertex form of a parabola.

a(x+ d)²+e

Now, d= b/2a

d=12/ 2

d=6

and, e= c-b²-4a

e= 37 - (12)²/4x1

e= 37 - 36

e= 1

Then, the vertex form is

y = a(x+ d)²+e

y= 1(x+ 6)²+1

y= (x+ 6)²+1

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We have

Option C

Let x represent the rental cost for each movie.

Let y represent the rental cost for each video game.

We were told that One month Tony rented 5 movies and 3 video games for a total of 532. This means that

5x + 3y = 32

Also, the month, he rented 2 movies and 12 video games for a total of $83. This means that

2x + 12y = 83

Dividing through by 2, we have

x + 6y = 41.5

x = 41.5 - 6y

Substituting x = 41.5 - 6y into 5x + 3y = 532, we have

5(41.5 - 6y) + 3y = 32

207.5 - 30y + 3y = 32

- 30y + 3y = 32 - 207.5

- 27y = - 175.5

y = - 175.5/- 27

y = 6.5

x = 41.5 - 6(6.5) = 41.5 - 39

x = 2.5

Rental cost for each movie = $2.5

Rental cost for each video game = $6.5