This is a case of direct variation.
For each hour traveled, the car traveled 50 miles.
d = 50t
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:
Part A: 20 shows $20 which Cory earns by mowing one lawn. 9 shows $9 which he earns by trimming one hedge. x shows the number of lawns. y shows the number of hedges. Part B: There are two terms in this expression. 20x which shows the total earning of Cory by mowing lawns. 9y which shows his earning by trimming hedges. It can be judged by the description of rates explained in part A. Part C: From explanation given in Part C, we can easily see that the expression 9y is used for the total earned from trimming hedges.
Write out the slope formula:
m = (change in y) / (change in x)
Here,
m = n-(-9) / (-6-(-2)) = (n+9 / (-4)
Now set this slope equal to -1 and solve the resulting equation for n:
(n+9) / (-4) = - 1, or (n+9) / 4 = 1, or n+9 = 4. Then n = -5.
Total number of people is 55
<u>Step-by-step explanation:</u>
Step 1:
Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x
⇒ 4x + x = x + 33 + x
⇒ 5x = 33 + 2x
⇒ 3x = 33
⇒ x = 11
Step 2:
Find total number of people.
33 + 2x = 33 + 22 = 55
