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slavikrds [6]
3 years ago
7

In 12 games last season the school baseball team scored 5, 11, 2, 0, 4, 8, 9, 6, 7, 4, 1, and 2 runs. What is the average number

of runs scored per game? Round to the nearest tenth.
Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

Hello there!

First, we need to put our data set into proper numerical order (least to greatest).

Set: , 1,2,2,4,4,5,6,7,8,9,11

Now, to find the mean, we need to add them all up.

1 + 2 + 2 + 4 + 4 + 5 + 6 + 7 + 8 + 9 + 11 = 59

Then, divide it by how many numbers there are : 12

59 divided by 12 = 4.9166667

Round it to the nearest tenth.

4.9166667 = 4.9

This means the average number of runs scored per game is 4.9 runs.

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The product of two consecutive positive integers is 132. What are the integers?
alina1380 [7]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Here is a rectangle which has a width of x cm. x cm
miskamm [114]

Answer:

278.25 cm2

Step-by-step explanation:

If the width of the rectangle is x (cm), as the length is 8cm longer, so that the length of the rectangle is: x + 8 (cm).

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=> 8x + 48 = 90

=> 8x = 90 - 48 = 42

=> x =42/8 = 5.25 (cm)

=> The width of the rectangle is 5.25cm

=> The length of the rectangle is: 5.25 + 8 = 13.25 cm

=> The area of one rectangle is: Length x Width = 5.25 x 13.25 = 69.5625 cm2

As the 8-sided shape is made from 4 rectangles, so that:

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6 0
3 years ago
The following graph describes function 1 and the equation below it describes function 2:
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Function 1: 
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4

Function 2 derivative:  -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒  x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13

Function 2 has the larger maximum.
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