Answer: 
Step-by-step explanation:
1. The problem asked for the product of
and
, therefore, you must mutliply them, as you can see below:
2. According the exponents propertiess, when you have a multiplication of two powers that has the equal base, you must add the exponents. THerefore, you have the following result:
Answer:

Step-by-step explanation:
Here we gonna use the identity -

So using the identity here,

Answer:
e. 0.977
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:

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:

Which of the following is closest to the proportion of daily transactions greater than 350?
This is 1 subtracted by the pvalue of Z when X = 350. So



has a pvalue of 0.023
1 - 0.023 = 0.977
So the correct answer is:
e. 0.977
Answer:
(1, -1)
Step-by-step explanation:
<u>Given lines </u>
<u>They cross at:</u>
- -3x + 2 = 5x - 6
- 5x + 3x = 2 + 6
- 8x = 8
- x = 1
<u>The y coordinate is:</u>
So the lines cross at point (1, -1)
Answer:
32
Step-by-step explanation: (40-8=32) There are 32 male's