Answer:
Q = 146
Step-by-step explanation:
We know that angle S and T are equal because the sides are equal
The measure of the exterior angle is equal to the sum of the opposite interior angles in a triangle
Q = S+T
Q = S+S
Q = 2S
Q =2* 73
Q = 146
Answer:
(0,3)
Step-by-step explanation:
Step 1: 7x-2y=-6 Step 2: 7x-2y=-6 solve by elimination of the y value
2(8x+y=3)2 +(16x+2y=6)
Step 3: 23x=0, which means <u>x=0</u>
Step 4: subtitute 0 into the equation 8x+y=3
you get 8(0)+y=3, which comes to 0+y=3
you get <u>y=3</u>
therefore the solution to this system is (0,3)
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
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