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3 years ago

9

For women at hartford college, times to run 400 meters are normally distributed with a mean of 84 seconds and a standard deviati

on of 7 seconds. what percentage of the times are more than 91 seconds? more than 63 seconds?

1 answer:

pashok25 [27]3 years ago

4 0

z=(63-84)/3= -21/7= -3
P(x>63)=p(z > -3) = .9987 or 99.87%

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Please help this is hard math

Rainbow [258]

Answer:

$y=-4x+2$

Step-by-step explanation:

First we find the slope of the line AB passing through the point (2,0)
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Since the slope of line AB is perpendicular to $m=\frac{1}{4}$ then we use the equation $slope of line1\times slopeofline2=-1$ , so what do we multiply $\frac{1}{4}$ by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
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2 years ago

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What is the volume of this figure?

sattari [20]

Answer:

1323 cubic inches

Step-by-step explanation:

Volume of rectangular prism is (8)(14)(9)=1008

Volume of rectangular prism is (1/2)(5)(14)(9)=315

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3 0

2 years ago

Angle 3 and angle 4 are supplementary angles. Angle 3 is 88. What is the measure of angle 4?

Mademuasel [1]

Since angles 3 and 4 are supplementary, they add up to 180 degrees.

Angle 3 is 88 degrees.

To get the measure of the last angle, let's subtract 88 from 180.

180 - 88 = 92

Thus, Angle 4 has a measure of 92 degrees.

Have an awesome day! :)

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3 years ago

f(x) = 500(1.05)x What was the average rate of change of the value of Sophia's investment from the second year to the fourth yea

hjlf

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=500(1.05)^x \qquad 
\begin{cases}
x_1=2\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(2)}{4-2}
\\\\\\
\cfrac{[500(1.05)^4]~-~[500(1.05)^2]}{4-2}\implies \cfrac{56.503125}{2}\implies 28.2515625$

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3 years ago