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:
Step-by-step explanation:
Let the width be X ft
Length = 2x - 40
Total area = 33,600 sq.ft
length * width = 33,600
(2x - 40) * x = 33,600
2x² - 40x -33600 = 0
The volume of the figure is 54 cubic units
<h3>Area of a rectangular prism.</h3>
Since we are not given a figure, we can assume it as a rectangular prism:
Area of the rectangular prism = a²b
- a² is the base area
- b is the height of the prism
Given that a = 3 units and b = 6 units, the required volume is expressed as:
V = 3² * 6
V = 9 * 6
V = 54 cubic units
Hence the volume of the figure is 54 cubic units
Learn more on volume of prism here: brainly.com/question/23963432
Step-by-step explanation:
The result is 12 cm³ because to get the volume of a figure you have to multiply all the characters
Answer:
Explanation
The capacity of the shelter is a constant. It is 80 people × 14 days.
That is an inverse relation: the product of the number of people and the number of days will be always the same.
As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.
Thus, for 32 people the number of days the food lasts is x, such that:
- 32 people × x = 80 people × 14 days
Solving for x:
- x = 80 people × 14 days / 32 people
The food will last 35 days.
