Answer:
See picture above
Explanation:
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1) 1
2) 2
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Answer:
The critical value can be founded in the normal standard distribution table using the value of 
and we got 
. Replacing the info given we got:
Step-by-step explanation:
For this case we have the following info given:
represent the population deviation
represent the sample mean
represent the sample size
And we want to find the margin of error for a confidence level of 95%. So then the significance level would be 
and . The margin of error is given by:
The critical value can be founded in the normal standard distribution table using the value of and we got . Replacing the info given we got:
Answer:
x = sqrt(11)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2 +(sqrt(5))^2 = 4^2
x^2 +5 = 16
x^2 =16-5
x^2 = 11
Taking the square root of each side
x = sqrt(11)
Set the height to h, and the width to w.
We know that wh=190 and h=2w-1.
Substituting 2w-1 for h, we have:
w(2w-1)=190
So:
2w^2-w-190=0
Factoring this equation, we get (2w+19)(w-10)=0. The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.
