It's 7.4 because the 3 doesn't round the 4 up.
13x−2/3x
=13x+(−2/3x)
Combine Like Terms:
=13x+(−2/3x)
=(13x+(−2/3x)
=37/3x
Answer: 36%; yes, the % change is equal to the percent discount
Step-by-step explanation:
Initial price = $69.99
Final price = $44.99
change in price = |(final - initial)|
change in price = |(44.99 - 69.99)|
change in price = $25
25/69.99 = x/100
100(25/69.99) = x
100(0.357) = x
35.7% = x
x = 36%
Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
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 above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, we have that the mean and the standard deviation are given, respectively, by:
.
The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:
![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{420 - 400}{30}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B420%20-%20400%7D%7B30%7D)
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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P is (18, -16)
to find the answer, u would solve it in reverse order of the midpoint formula by first doing the x-values:
5(2)= 10-(-8) = 18
and then the same to y-values:
-10(2)= (-20)-(-4) = -16
to get:
(18, -16)