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3 years ago

Use the image provided to answer please

Mathematics

1 answer:

Alborosie3 years ago

6 0

B? I’m not quite sure but I think it’s that.

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Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the

Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

$\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3$

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}$

Now, we calculate the sum

$\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98$

So, the sample standard deviation is 6.98.

3 0

3 years ago

Differentiate each of the following expressions with respect<br> to x<br> (a) (x^2+ 1)(x - 3)^4

zheka24 [161]

Answer: (A(x2+1)x-3)^=134

Step-by-step explanation: what me my brother did was just look it up

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2 years ago

Toby has created a map of his neighborhood. When he drew the map he noticed his house, his friend's house, and the playground fo

frosja888 [35]

2nd or 4th option, they appear to be the same

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3 years ago

Here are the dimensions of the oven tray Jenny bakes the cakes on.

dlinn [17]

Divide the area of the oven tray by the area of the cake tin.

4 0

4 years ago

Pls help i dont know

GenaCL600 [577]

ok, so, it's 12 ft by 17 ft but, because we want to leave a one foot space around the room, we should subtract 1 from each of the mesurments and then multiply those numbers

11 x 16 = 176

8 0

4 years ago

Use the image provided to answer please​

Use the image provided to answer please