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inessss [21]
3 years ago
13

Mais teacher gives 4 quizzes each worth 5 points after three quizzes she has the score 4, 3, and 4. What does she need to get on

her last quiz to have a mean score of 4
Mathematics
1 answer:
skad [1K]3 years ago
3 0

Answer:

5

Therefore, she must get 5 points from the last quiz to have a mean score of 4

Step-by-step explanation:

Mean is the average of a set of data, it is the sum of the data divided by the number of data.

To have a mean of 4 from 4 quizzes;

Let x represent the total;

mean = x/4

4 = x/4

x = 4 × 4 = 16

To have a mean of 4 he must have a total score of 16.

Let y represent her score in the last quiz;

16 = 4+3+4+y

16 = 11+y

y = 16-11 = 5

Therefore, she must get 5 points from the last quiz to have a mean score of 4

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The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of t
Kryger [21]

Answer:

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

Step-by-step explanation:

A = the area of the region outside the semicircle but inside the rectangle

w = the width of the rectangle or diameter of the semicircle

Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).

A(w) = (area of rectangle) - (area of semicircle)

A(w) = (l*w) - (\frac{1}{2} \pi r^2)

Where,

lenght of rectangle (l) = w + 5

width of rectangle (w) = w

r = ½*w = \frac{w}{2}

Plug in the values:

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

Simplify

A(w) = (w^2 + 5w) - (\frac{1}{2} \pi (\frac{w^2}{4})

A(w) = w^2 + 5w - \frac{1}{2}*\pi*\frac{w^2}{4}* \pi

A(w) = w^2 + 5w - \frac{1*\pi*w^2}{2*4}

A(w) = w^2 + 5w - \frac{1*\pi w^2}{8}

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

3 0
3 years ago
Which is relatively​ better: a score of 79on a psychology test or a score of 48on an economics​ test? scores on the psychology t
igomit [66]
Psychology 

<span>z =(48-87)/14 </span>

<span>z = -2.796 </span>
<span>Economics </span>

<span>z =(52-53)/8 </span>

<span>z = -0.125 </span>

<span>The score of Economics is better.</span>
8 0
3 years ago
if the area of a rectangle is represented by 25x^3y^6 and its width is represented by 10xy, express the length of the rectangle
iren [92.7K]

The length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is <u>2.5x²y⁵</u>.

The area of a figure is the total space enclosed in two dimensions within its boundary.

The area of a rectangle is given as, area = length*width.

In the question, we are given that the area of a rectangle is represented by 25x³y⁶ and its width is represented by 10xy, and are asked to express the length of this rectangle in terms of x and y.

We know that the area of a rectangle is given as, area = length*width.

Substituting the known values in the equation, we get:

25x³y⁶ = length*10xy.

Rearranging this equation, we get:

length = 25x³y⁶/10xy = (5x²y⁵)/2 = 2.5x²y⁵.

Thus, the length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is <u>2.5x²y⁵</u>.

Learn more about the area of a rectangle at

brainly.com/question/11435713

#SPJ4

3 0
2 years ago
What is the largest number you can form from the numbers $2,5,8,9,10$ and the operations $\times,+,+,-$, and exactly one pair of
Levart [38]

Answer:

The largest number is 218.

Step-by-step explanation:

The given numbers are 2,5,8,9,10, given operations are ×,+,+,- and exactly one pair of parentheses.

We need to find the largest number which can be form by using given information.

We know that multiplication of two lager numbers is greater than their addition.

We need to multiply 10 and sum of 9,8,5. To get the largest number we have subtract the smallest number.

So, the largest possible number is defined by the expression

10\times (9+8+5)-2

10\times (22)-2

220-2

218

Therefore, the largest number is 218.

6 0
3 years ago
Multiply.
DiKsa [7]

Answer:

-4.5

-3.5

-2.5

1065.75

Step-by-step explanation:

https://vm.tiktok.com/ZSej1BhxL/

5 0
3 years ago
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