Answer:
- Earth is 85.71 times heavier than moon
- Jupiter is 333.33 times heavier than Earth
Step-by-step explanation:
Given
- The mass of Earth is about 6 x 10^24 kilograms = e
- The mass of the moon is about 7 x 10^ 22 kilograms = m
- The mass of Jupiter is about 2 x 10^27 kilograms = j
<u>The difference in mass</u>
- e/m = 6 x 10^24 / 7 x 10^ 22 = 600/7 = 85.71
Earth is 85.71 times heavier than moon
- j/e = 2 x 10^27 / 6 x 10^24 = 2000/6 = 333.33
Jupiter is 333.33 times heavier than Earth
Answer:
28.3
Step-by-step explanation:
i heard it was
Answer:
yes you were
Step-by-step explanation:
Answer:
0.13% of customers spend more than 46 minutes
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 = 40, \sigma = 2](https://tex.z-dn.net/?f=%5Cmu%20%3D%2040%2C%20%5Csigma%20%3D%202)
What percentage of customers spend more than 46 minutes?
This is 1 subtracted by the pvalue of Z when X = 46. So
![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{46 - 40}{2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B46%20-%2040%7D%7B2%7D)
![Z = 3](https://tex.z-dn.net/?f=Z%20%3D%203)
has a pvalue of 0.9987
1 - 0.9987 = 0.0013
0.13% of customers spend more than 46 minutes
Step-by-step explanation:
f(x) = 5x - 20
f(-1) = 5(-1) - 20 = - 5 - 20
= - 25
g(x) = x² + 5x - 11
g(2) = 2² + 5(2) - 11 = 4 + 10 - 11
= 3
Thus, f(-1) + g(2) = - 25 + 3 = - 22