The confidence interval extremities are given by the formula:
m +/- (z · σ / √n)
In your problem:
m = 3.13
<span> σ = 0.23
n = 36
The z-score for a 99% confidence interval is 2.576
Therefore:
</span>m - (z · σ / √n) = 3.13 - (2.576 · 0.23 / √36) = 3.031
<span>m + (z · σ / √n) = 3.13 + (2.576 · 0.23 / √36) = 3.229
Therefore, the confidence interval is (</span>3.031, <span>3.229).</span>
Answer:
B. x ≤ 2.
Step-by-step explanation:
56 - 10x ≥ 20 + 8x
-18x ≥ -36
x ≤ -36/-18 = 2. ( Note that the inequality sign flips because we are dividing by a negative value).
1) 40-25= 15
2) 15/3=5
3) each gift costs $5
Then to check:
1) 5x3=15
2) 25+15=40
Therefore p=5
7b-6(11-2b)=10
The first step is to distribute. Multiply each number inside the parentheses by -6.
7b + (-6*11) + (-6*-2b) = 10
7b - 66 + 12b = 10
Now combine like terms.
19b - 66 = 10
Add 66 to both sides.
19b = 76
Divide both sides by 19.
b = 4
The answer is b = 4.
Answer:
A is the right anser. Anything passt 0 is a negative.
Step-by-step explanation: