Using the z-distribution, a sample size of 180 is needed for the estimate.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is given by:
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 98% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 2.327.
The population standard deviation is of 
, and to find the sample size, we have to solve for n when M = 4.
Hence:
n = 179.03.
Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
x=-1
Step-by-step explanation:
1. Remove the parenthesis
-x + 1 = -4x - 2
2. Get x alone
-x + 1 = -4x - 2
+1x +1x
1=-3x - 2
+2 +2
3=-3x -3x/-3= x 3/-3 = -1
x=-1
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer:
.0022
Step-by-step explanation:
Answer:
ΔABC was translated right 4 units and down 4 units.
Step-by-step explanation:
A' - A = (3, -2) -(-1, 2) = (3+1, -2-2) = (4, -4)
So, the transformation is (x, y) ⇒ (x +4, y -4).
Adding these values to a coordinate pair causes it to be translated to the right 4 units (x is increased by 4) and down 4 units (y is decreased by 4).
