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2 years ago

Below is the normal distribution curve for height (inches) of NBA basketball players.

Mathematics

1 answer:

VladimirAG [237]2 years ago

5 0

Answer: standard deviation = 8

This is because mu = 75 is the mean, which is at the very exact center of this distribution. One space to the right is 83, which is 83-75 = 8 units away from the center. This distance is exactly one standard deviation. We can say "83 is one standard deviation larger than 75".

Or you could note the distance from 67 to 75 is also 8, because 75-67 = 8. Each tickmark represents stepping one standard deviation in distance.

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ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .

Then $T(x,y) = (x + 1,y-2)$ and

$T(1,1)=(1+1,1-2)=(2,-1)=A'$

$T(3,0)=(3+1,0-2)=(4,-2)=R'$

Therefore $A'= (2,-1)$ and $R'=(4,-2)$ . The triangles CAR and C'Q'R' are shown in the figure below.

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3 years ago

Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.

yKpoI14uk [10]

X = $ 52 for the 12 books Diego bought

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3 years ago

The sum of remote interior angels equals what?

olya-2409 [2.1K]

Answer:

Each of the remote angles shares one side with the angle adjacent to the exterior angle. The equation means that the sum of measures of the remote interior angles is equal to the measure of the exterior angle of the triangle.

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2 years ago

What is the radius of a sphere with a volume of 623.3cm? Round to the nearest<br> tenth ?

sergiy2304 [10]

Answer:

5.3

Step-by-step explanation:

r = (3V/4pi)^1/3

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3 years ago

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pashok25 [27]

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3 years ago

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