Answer:
D= {-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6}
R={-6,-5,-4,-3,-2,-1,1,2,5)
Step-by-step explanation:
P = 12 + 6 + 8,5 = 18 + 8,5 = 26,5 mm
A = 12 × 4 / 2 = 48 / 2 = 24 mm²
Using the z-distribution, the 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
In this problem, we have a 99% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 2.575.
The estimate and the sample size are given by:
.
Then the bounds of the interval are:
The 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).
More can be learned about the z-distribution at brainly.com/question/25890103
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It is 12 since 1/6=6^-1=6
implies 2*6=12
Answer:
x = 12
Step-by-step explanation:
Simplifying
6x + -2(-3x + -5) = 154
Reorder the terms:
6x + -2(-5 + -3x) = 154
6x + (-5 * -2 + -3x * -2) = 154
6x + (10 + 6x) = 154
Reorder the terms:
10 + 6x + 6x = 154
Combine like terms: 6x + 6x = 12x
10 + 12x = 154
Solving
10 + 12x = 154
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 12x = 154 + -10
Combine like terms: 10 + -10 = 0
0 + 12x = 154 + -10
12x = 154 + -10
Combine like terms: 154 + -10 = 144
12x = 144
Divide each side by '12'.
x = 12
Simplifying
x = 12
