Using the Central Limit Theorem, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.
<h3>What does the Central Limit Theorem state?</h3>
- It states that the sampling distribution of sample means of size n has standard deviation
.
- By the Empirical Rule, 95% of the sample means fall within 2 standard errors of the mean.
In this problem, we have that the standard deviation and the sample size are given as follows:

Hence the standard error is given by:
[tex]s = \frac{10.34}{\sqrt{400}} = 0.517.
Two standard errors is represented by:
2 x 0.517 = $1.034.
Hence, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
#SPJ4
10x-3x= 8x
8x + 1 = x + 4
subtract x in both side
7x + 1 = 4
subtract 1 on both side
7x = 3
divide 7 on both side
x = 3/7
or
.43 in decimal
Answer:

Step-by-step explanation:
Q17

For Q18 and Q19.
If ΔABC ≅ ΔSRT (congruent), then

Q20

First we need to understand what is the square root of 60.
The approximate answer of √60 is 7.745
The answer is H, It is greater than 8 but less than 9.
Indeed it is true that the answer is less than 9, but what is not true is that it's greater than 8.