Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let
= <u><em>sample proportion of people who prefer to start their own business</em></u>
The z-score probability distribution for the sample proportion is given by;
Z =
~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P(
70%)
P(
70%) = P(
) = P(Z
-1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = <u>0.1423</u>
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.
Answer:
<em>The last choice is correct</em>
<em />
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Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
To find the LCM we can follow this procedure:
List the prime factors of each monomial.
Multiply each factor the greatest number of times it occurs in either factor.
We have two monomials:


The prime factors of the first monomial are:

The prime factors of the second monomial are:

LCM = Multiply 
These are all the factors the greatest number of times they occur.
Operating:


The last choice is correct
Answer:
D. x=4
Step-by-step explanation:
We can solve this with the Pythagorean Theorem for the right triangle that we can see (which is half of the triangle).
The bottom length is 3 and the hypotenuse is 5.
The Pythagorean Theorem is a²+b²=c².
We can plug this in:
3²+x²=5²
9+x²=25
x²=16
x=4
Answer:
by 5
Step-by-step explanation: because tgey wou;d nred help
4^2+b^2=8^2
16+b^2=64
-16. -16
b^2= 48
Sq root each side
b= sq rt 16 sq rt 3
b= 4 sq rt 3