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Keith_Richards [23]
3 years ago
12

Sheryl got these scores on her spelling tests.

Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

5.6

Step-by-step explanation:

Sheryl got the following scores on her spelling tests.

95, 89, 99, 85, 82

Mean = sum of all observations/ Number of observations

Sum of all observations =95+89+99+85+82=450

Number of observations = 5

So,

Mean =\frac{450}{5}=90

Let M denotes the mean

Mean absolute deviation =\frac{\sum_{i=1}^{n}\left | x_i-M \right |}{n}

Put n=5

So,

Mean absolute deviation =\frac{\sum_{i=1}^{5}\left | x_i-M \right |}{5}=\frac{|95-90|+|89-90|+|99-90|+|85-90|+|82-90|}{5}=\frac{5+1+9+5+8}{5} =\frac{28}{5}=5.6

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Image point B'(4, -8) was transformed using the translation (x - 2, y + 3). What were the coordinates of B?
denis23 [38]

Answer:

(6,-11)

Step-by-step explanation:

Given

Point B' = (4,-8)

And the translation formula (x-2, y+3)

In order to get the coordinates of the point before translation, both given points have to be put equivalent.

So, for x-coordinate

x-2 = 4

x= 4+2

x= 6

And for y-coordinate

y+3 = -8

y = -8-3

y=-11

So the old coordinates of old point were (6,-11) ..

7 0
4 years ago
2.
Ronch [10]

Answer:  B) h(2) = 16

<u>Step-by-step explanation:</u>

Domain: -3 ≤ x ≤ 11

Range: 1 ≤ y ≤ 25

h(8) = 19

A) x = 8, y = 21

It is given that h(8) = 19. A function cannot have two y-values for one x-value.

B) x = 2, y = 16

The x-value is in the Domain and the y-value is in the Range.

C) x = 13, y = 18

The x-value is not in the Domain <em>(x is between -3 and 11).</em>

D) x = -2, y = -1

The y-value is not in the Range <em>(y is between +1 and 25).</em>

6 0
3 years ago
Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2
ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

x =  2( - 3 - 0) \\ x = 2( - 3) \\ x =  - 6

This would be the y coordinate of F:

y = 2( - 2 - 0) \\ y = 2( - 2) \\ y =  - 4

Thus the coordinates of F is (-6,-4)

4 0
3 years ago
A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.
bogdanovich [222]

Answer:

the Bision is 10 miles / hour faster if he could keep it up

Step-by-step explanation:

There are 60 minutes in an hour.

Therefore the bison can run [3520 feet / min] * [60 min ] =211288 feet in an hour.

Now you have to convert 212200 to miles. Do this by dividing by 5280

212200/5280 = 40 miles.

Kind of hard to believe isn't it. 40 miles is a long way when you are running it.

The bison is faster by 10 miles / hour.

This can be done all in 1 step if you know how to do dimensional analysis

3520 feet / minute * [ 60 min/ hour ] * [ 1 mile / 5280 feet] = 40 miles

5 0
3 years ago
1. chain reaction
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