Answer:
y= 11 | 19 | 27 |35 | 43 |
Answer:
Step-by-step explanation:
Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.
Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:
4^{-2}•7^{-2} = 1/4^2 • 1/7^2
= 1/(4×4) • 1/(7×7)
= 1/16 • 1/49
= 1/(16×49)
= 1/784
Pythagoras' theorem:
b^2 = c^2 - a^2
Substitute in the values:
b^2 = 13^2 - 12^2
b^2 = 25
Square root it
b = 5km
The answer is option B. 5km
This is how it should look
9 15 24
12 10 22
21 25 46
I hope this helps and this is how it has to look just like this
Answer:
47.06% of the population has an IQ between 85 and 105.
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 = 100, \sigma = 15](https://tex.z-dn.net/?f=%5Cmu%20%3D%20100%2C%20%5Csigma%20%3D%2015)
What percent of the population has an IQ between 85 and 105?
This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So
X = 105
![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{105 - 100}{15}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B105%20-%20100%7D%7B15%7D)
![Z = 0.33](https://tex.z-dn.net/?f=Z%20%3D%200.33)
has a pvalue of 0.6293.
X = 85
![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{85 - 100}{15}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B85%20-%20100%7D%7B15%7D)
![Z = -1](https://tex.z-dn.net/?f=Z%20%3D%20-1)
has a pvalue of 0.1587
So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.