Answer:
(a) b = (4/7)c
(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour
Step-by-step explanation:
Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...
7b = 4c
c - b = 30 . . . . shingles per hour difference in rates
(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7
b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate
__
(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:
7c -7b = 210
7c -4c = 210
c = 210/3 = 70
b = (4/7)(70) = 40
Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.
Answer:20%
Step-by-step explanation:so we start with x as the year before. then we get 2x from 100%. this year it would be 2x times 150% which is equal to 3x added to the year before. That would be 5x. 5x compared to x people would think is 500% but it is switched the other way to 20%.
Answer:
The most likely outcome is exactly 4 free throws
Step-by-step explanation:
Given
--- attempts
---- probability of a successful free throw

Required
A histogram to show the most likely outcome
From the question, we understand that the distribution is binomial.
This is represented as:

For x = 0 to 5, where x represents the number of free throws; we have:


















From the above computations, we have:





See attachment for histogram
<em>From the histogram, we can see that the most likely outcome is at: x = 4</em>
<em>Because it has the longest vertical bar (0.4050 or 40.5%)</em>
Answer:
17
Step-by-step explanation:
12 -6 divided by 3 is 2, so 15+2 is 17
Answer: 234 inches
Step-by-step explanation:
The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.
To convert the length to inches therefore, convert the length from meters to centimeters first:
1 meter = 100 cm
6 meters would therefore be:
= 6 * 100
= 600 cm
1 cm = 0.39 inches so 600 cm is:
= 600 * 0.39
= 234 inches