This probability distribution shows thetypical grade distribution for a Geometrycourse with 35 students.GradeАBсDFFrequency 5101532Using the frequencies given, find theprobability that a student earns a grade of A.p = [?]

Answer:

  13.192 seconds

Step-by-step explanation:

You want to know the time to travel 4.500 km at a speed of 341.11 m/s.

The relation between time, speed, and distance is ...

  time = distance/speed

  time = (4500 m)/(341.11 m/s) ≈ 13.192 s

It would take Andy about 13.192 seconds to travel 4.500 km.

__

Additional comment

The distance of 4.500 km is rounded to the nearest meter, so may have an error of 0.5 meters. At 342.11 m/s, it takes about 1.47 ms to travel that distance. This suggests that timing to the nearest millisecond is consistent with the precision of the other numbers in the problem.

One could argue that speed is 5 significant figures, but distance is 4 significant figures. That suggests their ratio, time, is only accurate to 4 significant figures: 13.19 s. Analysis of the worst-case error in the ratio suggests that this reported value throws away some accuracy, so a better result is 13.192 s.

The interest will earn is 3216

Interest Earned = Amount * Rate of Interest * Time

Interest Earned = 6700*6%*8 = [tex]6700*\frac{6}{100}*8[/tex]

Interest Earned = 3216

Interest Calculator

The term "interest" refers to the additional revenue received by the investor over and above the investment or the additional debt owed by the borrower over and above the amount borrowed. Simple interest and compound interest are the two different kinds of interest. The sorts of interests are covered in further detail in the interest formula. Let's explore the interest formula in further detail and go through several cases.

Interest Formula: What is it?

Simple interest and compound interest are both included in the interest formula. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The Simple Interest Formula and the Compound Interest Formula are both discussed in the interest formula Compound Interest Formula. The interest formula for both is

Simple Interest = P × R × T

Compound Interest = [tex]P(1 + r/n)^{nt}- P[/tex]

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Answer: true

Step-by-step explanation:

leads to a monopoly

Answer:

It is possible for Gabriella and Lisbet to make a profit

Explanation:

Let's call x the number of bracelets that they will make and y the number of earrings that they will make.

If the bracelets will cost $2 and the earring will cost $3, they will make:

2x + 3y

Then, this quantity should be at least $500, so:

2x + 3y ≥ 500

Additionally, they would like to make less than 50 bracelets, so:

x < 50

So, the system of inequalities is:

2x + 3y ≥ 500

x < 50

Now, to graph the system, we need to identify the lines that separate the regions. So, for x < 50, we get that the line is x = 50, a vertical line that passes through the point (0, 50).

For 2x + 3y ≥ 500, we need to identify two points that belong to the line

2x + 3y = 500 as (250, 0) and (100, 100)

So, the graph of the inequalities is:

Therefore, the solution of the system is the yellow region. Since there is a region in the graph, Gabriella and Lisbet can make a profit.

Given:

The probability that a word-recognition the program correctly interprets a hand-written word is:

Find-:

How many words out of 40 would the researcher expect the program to correctly interpret?

Explanation-:

the probability that a word-recognition the program correctly interprets a hand-written word is:

For 40 world is:

So, there are 36 words.

For us to be able to determine the new coordinates of the triangle after being dilated with a scale factor of 2 centered from the origin, multiply each x and y coordinate value by the scale factor of 2 to find the new coordinates.

We get,

A (2, 3) → A' (4, 6)

B (-5, 4) → B' (-10, 8)

C (0, -12) → C' (0, -24)

Let's now plot it in a graph,

Here, we want to calculate the area of the given triangle

Mathematically, the product of the height and base of a triangle divided by 2 gives its area

Now, as we can see the shape, while IJ represents the base, KJ represents the height

We need to calculate the distance between these points before we can get the area of the triangle

To get the distances between the points, we have to use the distance formula

We can proceed with this as follows;

Thus, we have the area of the triangle as follows;

Answer: (x-9) and (x+2)

Step-by-step explanation:

You would first have to break the trinomial down into 2 factors.

Since there are two minuses in the trinomial, start off like this : (x- __) (x+__)

Now, what two numbers add to -7, and multiply to -18?

9 and 2, with one term being negative.

Since the 2nd term in the trinomial is a negative, there must be a number added that has a greater negative term than the other positive term, therefore, making 9 the negative term, since 2-9 is -7.

And -9 times 2 is -18.

Now fill in the blanks : (x-9)(x+2)

Since (x-9) and (x+2) are multiplied by each other, they are the dimensions of the desk, being L x W.

Now let's double check the factors:

(x-9)(x+2)

Distribute the terms.

x^2 +2x -9x -18

x^2-7x-18

There, hoped that helped :D

The amount borrowed at 13% interest is  $20,945.95.

The amount borrowed at 50% interest is $4,054.05.

The first step is to formulate a system of equations:

a + b = $25,000 equation 1

0.13a + 0.5b = (36,000 - 25,000

0.13a + 0.5b =11,000 equation 2

Where:

a = amount borrowed at 13% interest

b = amount borrowed at 50% interest

Take the following steps to determine the value of b:

Multiply equation 1 by 0.13

0.13a + 0.13b = 3,250 equation 3

Subtract equation 3 from equation 2

7,750 = 0.37b

b = $20,945.95

a = $25,000 - $20,945.95 = $4,054.05

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Answer:A returned check

Step-by-step explanation:

Answer: D. bouncing a check

Bouncing a check

When a check is deposited in a bank, or when it is written out to a store teller to ultimately deposit in the store bank, the funds are tracing back from an origin bank account. When the check bounces a fee is then charges by both the bank out of which the check is written (for non-sufficient funds) and by the payee. If the payee is a store they will often charge fees that are charged back to them by their bank of deposit."

Answer:

17.245

Step-by-step explanation:

34.49 divided by 0.2 is 17.245

Answer:

y = -3x + 13

Step-by-step explanation:

We can use the the point slope form of an equation for this:

y - y1 = m (x - x1)

Replace the y1, x1, and m variables with what we were given:

y - (-2) = -3 (x - 5)

Distribute

y + 2 = -3x + 15

Combine like terms

y =  -3x + 13

Given the data below.

The median of the data above is the middle number

The first quartile is:

The third quartile is:

The box and whisker plot for the data is:

The second option is correct.

Answer:

5.49

Step-by-step explanation:

3+ 51= 54                  

54 x 1/10= 5.4    + 9 x 1/100

5.4 + 0.09=

5.49    

Solution

For this case we can create the following proportional rule:

For this case x = original price

Then solving for x we have:

Then the original price is 33.33$

By using implicit differentiation, we get dy/dx=(2x+cos⁡(xy)y)/(-xcos(xy)+2y)

What is implicit differentiation?

Implicit differentiation is the process to finding the derivative of the implicit function.

We have given,

y^2=x^2+sin⁡(xy)

Differentiate with respect to x, and using product rule

2y dy/dx=d/dx(x^2+sin⁡(xy))

2y dy/dx=(dx^2)/dx+(dsin(xy))/dx

2y dy/dx=2x+cos⁡(xy)(d(xy))/dx

2y dy/dx=2x+cos⁡(xy)[y+x dy/dx]

2y dy/dx=2x+ycos(xy)+xcos⁡(xy)dy/dx

2y dy/dx-xcos(xy)  dy/dx=2x+ycos(xy)

On simplification, we get

dy/dx=(2x+xcos(xy))/(-xcos(xy)+2y)

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Each response includes a thorough explanation of how it was arrived at. The student seemed to have been unsure of which approach to utilize so they hedged their chances by trying both in the hopes that one of them would work. (I don't think it was rewriting that they forgot to cross out; the student presented their response as "it is either X or Y," then in subsequent questions supplied parallel replies depending on whether X or Y was accurate.)

How can I give this question a grade?

Full points given that they provided the correct response

partial marks for being "half-right"?

Or perhaps they didn't get any points since they didn't fully comprehend the issue?

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total marbles: 15

brown marbles: 6

Probability : brown marbles / total marbles = 6 /15 (simplify) = 2/5

Answer:

answer is 47.49 because tan theta is equals to 12 / 11 which is 1.09091.

So tan-¹(1.09091) = 47.49

See explanation below

Explanation:

We are told the centres of the two towns are 6miles apart.

This means the distance between Sunnyvale and Gloomington = 6 miles.

We will draw a line with a distance of 6cm to indicate their distance apart.

The two end points of the line will indicate the location of Sunnyvale and Gloomington respectively.

For the developers to locate the mall not more than 3 miles from the center of Sunnyvale, we will draw a circle which has radius of 3cm. This way the mall doesn't exceed 3 miles from Sunnyvale.

For the developers to locate the mall not more than 5 miles from the center of Gloomington, we will draw a circle which has radius of 5cm. This way the mall doesn't exceed 5 miles from Gloomington.

The scale of the drawing will be 1cm represent 1 mile

You can use a compass(drawing tool) to draw the circles. adjusting the legs to suit the measurement of each radius.

The area under the each of the circles are all the possible locations of the map. The location of the new mall cannot go beyond the area under circles but can be within it.

Answer:

Step-by-step explanation:

Given the following system of equations:

Since on equation 2, x is already isolated, substitute it into equation 1:

Solve for y.

Knowing the value of y, plug it into equation (2) and solve for x:

Given:

12.56 is multiplied by 8.8 and the result is divided by 1.57.

To find the final result:

First, we multiply 12.56 by 8.8.

We get,

Next, the result 110.528 is divided by 1.57.

So, we get

Hence, the answer is 70.4.

Answer: He can only go 2 days

Step-by-step explanation:

Sample space={ A,B,C,D,E,F}

Event of choosing A or C = {A,C}

What is sample space?

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled: A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

This means that the sample space is given by:

Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from A or  C.

Then the sample space is:

Sample space= {A,C}

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The domain and the range of the function f(x) = 1/4x - 2 is the all set of real values

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The function is given as

f(x) = 1/4x - 2

Next, we plot the graph of the function (see attachment)

From the graph, we can see that the graph is a linear graph

This means that the function has a domain and a range of all set of real values

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Answer:

  C) The graph of g(x) opens downward and is shifted to the right 6 and up 3 units.

Step-by-step explanation:

You want to know what transformations are needed to form g(x) = –(x – 6)² + 3 from f(x) = x².

The function transformations we are typically concerned with are ...

Each of these has a recognizable influence on the function.

Translation by 'h' units to the right and 'k' units up transforms the function to ...

  g(x) = f(x -h) +k

Expanding a graph horizontally by a factor of p and vertically by a factor of q transforms the function to ...

  g(x) = q·f(x/p)

Reflecting a graph horizontally across the y-axis replaces x with -x.

Reflecting a graph vertically across the x-axis replaces f(x) with -f(x).

Comparing g(x) = -(x -6)² +3 to the original f(x) = x², we see that ...

This means the graph was shifted right 6 units and up 3 units. The graph was reflected across the x-axis, so the curve opens downward.

Option c, The graph of g(x) opens downward and is shifted to the right 6 and up 3 units. is the correct answer.

What is graph?

In the field of mathematics, a graph is a representation (visual) or diagram that shows the facts or values in an ordered and systematic way.

The relationships between two or more items are frequently represented by the points on a graph.

As given in the question,

[tex]f(x)=x^2[/tex] and [tex]g(x)= -(x-6)^2 + 3[/tex]

Since, [tex]f(x) = x^2[/tex]  we are applying the following three rigid transformations on f(x) to obtain g(x):

Therefore, The graph of g(x) opens downward and is shifted to the right 6 and up 3 units.

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[tex]a=\frac{D}{G+3h^{3}}[/tex]

Looking at the equation, we can see that “a” is a part of both terms. Therefore, we can factor it out. Then we divide to get “a” by itself.

See details:

Based on the given statement of hy⁰ = 0, the answer is B. The statement is false. The correct statement is hy⁰ = 1.

The statement given is that hy⁰ = 0. This is false because of the mathematical rule that whenever a number or figure is raised to the power of 0, the result would be that the answer is 1.

For instance:

2 ⁰ = 1

56 ⁰ = 1

8676⁰ = 1

From hy ⁰ = 0, we take the value of y⁰:

y ⁰ = 1

If y ⁰ = 1, then it means that on the right hand side of the statement, we would have the expression h(1).

This therefore means that the equation hy⁰ = 0 is false because h(1) is h and so the correct statement is:

hy ⁰ = 1

Rest of the question is:

Determine whether the statement is true or false. If false, correct the right-hand side of the statement. hyº = 0

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Given: A scale factor of 1/2 and center N of a figure is given.

Required: To dilate the given figure using the given scale factor and center.

Explanation: Dilation is a transformation, used to change the size of the given figure. If the value of dilation>1 then the new figure enlarges. If dilation<1 then the given figure contracts while a dilation=1 means that the new figure is of the same size.

Now here the center is given to be N. And the scaling factor is 1/2.

The coordinates of center N are (3,2). Point M is 2 units left and 4 units down from point N. Hence for dilation of a factor of 1/2, point M' will be 1 unit to the left and 2 units down from point N -

Similarly, point O is 2 units to the right and 6 units down from point N. Hence for dilation of a factor of 1/2, point O' will be 1 unit to the right and 3 units down from point N.

Final Answer: M'=(2,0)

O'=(4,-1)