Answer: a.) $50188 to $57812
Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.
The interval is calculated as
x ± 
a. For a 95% CI, z-value is 1.96.
Solving:
54,000 ± 
54,000 ± 
54,000 ± 1.96*1732.102
54,000 ± 3395
This means the interval is
50605 < μ < 57395
<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>
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b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.
Answer:
x = -5 or x= 2
Step-by-step explanation:
|-4x-6| = 14
There are two solutions, one positive and one negative
-4x-6 = 14 -4x-6 = -14
Add 6 to each side
-4x-6+6 = 14+6 -4x-6+6 = -14+6
-4x = 20 -4x = -8
Divide by -4
-4x/-4 = 20/-4 -4x/-4 = -8/-4
x = -5 x = 2
The answer is 23 1/3. First, you need to add 280 to both sides of the equations in order cancel out 280 and get 12x by itself. But remember whatever you do to one side of an equation, you must to do the other. So now you have 12x=280. Now divide both sides of the equation by 12 in order to get x completely isolated. 280 divided by twelve is 23 1/3.
So, -(a-3b) becomes -1(a-3b). Then, this becomes 5a-1a+3b. There is +3b because there is a double negative. So, 5-1=4, so your answer is 4a+3b. Pls brainliest
