Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
<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 90% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.645.
The sample size and the estimate are given by:
Hence, the bounds of the interval are given by:
The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
x=-2 y=3
Step-by-step explanation:
The substitution is basically given to you. Exchange x from the second equation with y-5
Once that is done and you combine the parentheses you get:
2y-10+y=-1
Add 10 on both sides of the equal sign
You get:
3y=9
Divide both sides by 3
You get:
y=3
To check your work you can substitute y in the second equation with 3 and solve it that way to get x=-2 (x equals negative two)
Answer:
3.
equation = 
Using:
or 
or
7^2 + 12^2 = c^2
49 + 144 = c^2
c^2 = 193
missing length = 13.9 inches
4. equation = 
Using:
or
24^2 + 32^2 = c^2
reduce to:
8 multiplied by everything:
3^2 + 4^2 = c^2
Since we know 3,4,5 is a Pythagorean triple, we can use this to find c.
Since c must be 5, we multiply by 8 since we divided by 8 earlier to get the 3,4,5 and get 40.
missing length = 40 inches
Answer:
$138.95
Step-by-step explanation:
Since Maloney picked 1985 apples he falls in the payscale of 0.07 per apple.
Thus 1985 * .07 = 138.95
Divide 72 by 129 , then multiply the decimal by 100:
72 / 129 = 0.55813
0.55813 x 100 = 55.813% (Round the answer as needed).
