Answer:
See below ↓↓↓↓
Step-by-step explanation:
4.
- [5∛32x³y⁴] - [3xy³√4y]
- [5*2*x*y ∛4y] - [3xy³*2 √y]
- 10xy∛4y - 6xy³√y
- <u>2xy [5∛4y - 3y²√y]</u>
<u></u>
5.
- 15√2 * -2√20
- -30√40
- -30*2√10
- <u>-60√10</u>
<u></u>
6.
- 4³√-9 * 7³√48
- 4³*3√-1 * 7³*4√3
- 263424√-3
- <u>263424i√3 [i is the complex number for √-1]</u>
<u></u>
7.
![3\sqrt{18w^{7} } *10\sqrt{4w^{9} }](https://tex.z-dn.net/?f=3%5Csqrt%7B18w%5E%7B7%7D%20%7D%20%2A10%5Csqrt%7B4w%5E%7B9%7D%20%7D)
- 30√72w¹⁶
- 30*6*w⁸√2
- <u>180w⁸√2</u>
Answer:
(A, B); (B, C); (C, D); (D, B); (C, A); (A, D)
Step-by-step explanation:
That's all I can mention off the top of my head.
Answer:
22.66% of women in the United States will wear a size 6 or smaller
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 = 23.3, \sigma = 1.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%2023.3%2C%20%5Csigma%20%3D%201.2)
In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?
This is the pvalue of Z when X = 22.4. 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{22.4 - 23.3}{1.2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B22.4%20-%2023.3%7D%7B1.2%7D)
![Z = -0.75](https://tex.z-dn.net/?f=Z%20%3D%20-0.75)
has a pvalue of 0.2266
22.66% of women in the United States will wear a size 6 or smaller
Angles and arcs can be measured in both degrees or in radians.