Exponential laws
x^-m=1/(x^m)
and (x^m)(x^n)=x^(m+n)
so
(3^-4)(3^2)=
3^(-4+2)=
3^-2=
1/(3^2)=
1/9
the answer is A
1
Add 1111 to both sides
5x\ge 31+115x≥31+11
2
Simplify 31+1131+11 to 4242
5x\ge 425x≥42
3
Divide both sides by 55
x\ge \frac{42}{5}x≥542
Using the normal distribution, we have that:
The percentage of men who meet the height requirement is 3.06%. This suggests that the majority of employees at the park are females.
<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:

- 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.
The mean and the standard deviation of men's heights are given as follows:
.
The proportion of men who meet the height requirement is is the <u>p-value of Z when X = 62 subtracted by the p-value of Z when X = 55</u>, hence:
X = 62:


Z = -1.87
Z = -1.87 has a p-value of 0.0307.
X = 55:


Z = -3.67
Z = -3.67 has a p-value of 0.0001.
0.0307 - 0.0001 = 0.0306 = 3.06%.
The percentage of men who meet the height requirement is 3.06%. This suggests that the majority of employees at the park are females.
More can be learned about the normal distribution at brainly.com/question/4079902
#SPJ1
To isolate b, add a and subtract c to the entire equation:
D - a + c = -b
Muliply b by -1 to eliminate the negative:
-D + a - c = b
Answer:
The square–cube law (or cube – square law) is a mathematical theory, implemented in a number of scientific contexts, which defines the relationship between the volume and the surface area as a shape 's size increases or decreases.
Hope this helps!