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Nookie1986 [14]
3 years ago
13

A data set includes the following test scores: 75, 82, 84, 62, 78. The score on a retake test is 96. It the retake score replace

s the lowest test grade, how is the mean affected? A) The mean increases by 5. B) The mean increases by 6.8. C) The mean increases by 35. D) The mean does not change.
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

B the mean increases by 6.8

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Which graphs below represent an exponential function? Select all that apply.
Troyanec [42]
The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs. 

The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.

The final graph represents a quadratic function rising on both ends. 

Therefore, option b and c are the correct answers
8 0
2 years ago
Read 2 more answers
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3
Ber [7]

For this case we have the following system of equations:

4x + 2y = 18\\x-y = 3

To solve, we clear "x" from the second equation:

x = 3 + y

We substitute "x" in the first equation:

4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18

We clear the value of the variable "y":

6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1

We look for the value of the variable "x":

x = 3 + y\\x = 3 + 1\\x = 4

Thus, the solution of the system is given by:

(x, y) :( 4,1)

Answer:

(x, y) :( 4,1)

Option D

4 0
2 years ago
G(x) = 2x^2 and h(x) = .What is (g h)-1 and is it a function?
Andrews [41]
H(x) equals what? I think you've missed that detail. :)
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3 years ago
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Sense or nonsense? Pete says that to write 4/6 as 2/3, you combine pieces, but to write 4/6 as 8/12, you break apart pieces does
sertanlavr [38]

In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.

<h3>What are fractions?</h3>

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.

To learn more about multiplication of fractions, please check: brainly.com/question/1114498

5 0
2 years ago
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