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:
The area is 452.39
The Circumference is 75.36
Step-by-step explanation:
Answer:
area =length ×breath =10×6=60
Answer: 66 degrees
Step-by-step explanation:
Sum of the angle measures is 180, so:
71 + x + 49 + x + 72 = 180
2x + 192 = 180
2x = -12
x = -6
Meaning the measure of angle A = -6 + 72 = 66 deg.
Answer:
x = -36, y = 6, z = -6
Step-by-step explanation:
The requirement x/z = -z means x = -z².
The requirement x/y = z means x = yz.
These two requirements together mean yz = -z², or y = -z.
The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).
Using z=-6, we have x = -z² = -36; y = -(-6) = 6.
For some positive integer n, ...
... x = -36n², y = 6n, z = -6n.
