Answer:
he probability that the sample mean deviates from the population mean = 112 by no more than 4= 0.9050
Step-by-step explanation:
mean = 112
sd = 12/sqrt(25) = 2.4
z = (x - μ)/σ
z = (116 - 112)/2.4 = 1.67
Therefore,
P(X >= 116) = P(z <= (116 - 112)/2.4)
= P(z >= 1.67)
= 1 - 0.9525
= 0.0475
z = (x - μ)/σ
z1 = (108 - 112)/2.4 = -1.67
z2 = (116 - 112)/2.4 = 1.67
Therefore, we get
P(108 <= X <= 116) = P((116 - 112)/2.4) <= z <= (116 - 112)/2.4)
= P(-1.67 <= z <= 1.67) = P(z <= 1.67) - P(z <= -1.67)
= 0.9525 - 0.0475
= 0.9050
Hello!
<h3><em><u>Answer</u></em></h3>
The area of the right triangle is 30
. The perimeter is 40 in.
<h3><em><u>Explanation</u></em></h3>
First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.
+ 

64 + 225 = 
√289 = 
17 = 
Now that we have all the side lengths, we can use the formulas to find the area and perimeter.
<h3>AREA:</h3>
A = 
A = (15 × 8) ÷ 2
A = 30
<h3>PERIMETER:</h3>
P = a + b + c
P = 8 + 15 + 17
P = 40
Answer:
smallest number :14,18,28 29,32
largest number :65,50,48,44,32
Answer:
The expected participation rate is 0.637.
The standard error is 0.04397
Step-by-step explanation:
For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.
Binomial probability:
Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So
. This means that the expected participation rate is 0.637.
Standard error for the participation rate:
The standard error is given by the following formula:
.
In this problem, 120 people are asked, so 
.
So the standard error is 0.04397
C = 11*(2*d) Try it and see that it fits every sample you have. Again this can be simplified to
C = 22 * d