Answer:
i think it is a? im not completly sure ;/
Step-by-step explanation:
Answer:
38.40% probability that it would take between 2.5 and 3.5 hours to construct a soapbox derby car.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 3, \sigma = 1](https://tex.z-dn.net/?f=%5Cmu%20%3D%203%2C%20%5Csigma%20%3D%201)
Find the probability that it would take between 2.5 and 3.5 hours to construct a soapbox derby car.
This is the pvalue of Z when X = 3.5 subtracted by the pvalue of Z when X = 2.5
X = 3.5
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{3.5 - 3}{1}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B3.5%20-%203%7D%7B1%7D)
![Z = 0.5](https://tex.z-dn.net/?f=Z%20%3D%200.5)
has a pvalue of 0.6915
X = 2.5
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{2.5 - 3}{1}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B2.5%20-%203%7D%7B1%7D)
![Z = -0.5](https://tex.z-dn.net/?f=Z%20%3D%20-0.5)
has a pvalue of 0.3075
0.6915 - 0.3075 = 0.3840
38.40% probability that it would take between 2.5 and 3.5 hours to construct a soapbox derby car.
Answer:
The distributive property is when you take the value that the equation is being multiplied by and multiply each value in the equation by it.
Step-by-step explanation:
Ex.
3 ( 3 + 9 ) = ?
You can use the distributive property here:
<u>3</u> ( <u>3</u> + 9 ) = ?
<u>3</u> ( 3 + <u>9</u> ) = ?
( 3 x 3 ) + ( 3 x 9 )
9 + 27
36
3 ( 3 + 9 ) = 36
Answer:
D
Step-by-step explanation:
every time the mile increases he burns more calories you can see that when you look at it closely