Answer:
n = 3
Step-by-step explanation:
Ratio from Triangle A to Triangle B is 2:1.
n+2 = 5
n = 3
Find the multiples of each number:
18: 1 , 2 , 3 , 6 , 9 , 18
24: 1, 2, 3, 4, 6 , 8, 12, 24
Now find the matching numbers:
1 , 2, 3 , 6
Answer:
The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Step-by-step explanation:
Let the random variable <em>X</em> denote the water depths.
As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.
The probability density function of <em>X</em> is:

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

![=\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B5.00%7D%5Cint%5Climits%5E%7B5.00%7D_%7B2.25%7D%20%7B1%7D%20%5C%2C%20dx%5C%5C%5C%5C%3D0.20%5Ctimes%20%5Bx%5D%5E%7B5.00%7D_%7B2.25%7D%20%5C%5C%5C%5C%3D0.20%5Ctimes%20%285.00-2.25%29%5C%5C%5C%5C%3D0.55)
Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Answer:
$250
Step-by-step explanation:
The numbers in the table indicate a proportional relationship between earnings and hours worked. Among other things, that means you can find the earnings for 20 hours by using any table values that sum to 20 hours.
For example, 9 hours + 11 hours = 20 hours, so the earnings would be ...
$112.50 +137.50 = $250.00 . . . for 20 hours
You could also use 4×5 hours = 20 hours, so ...
4×$62.50 = $250 . . . for 20 hours
__
Or, you can figure ...
$37.50/(3 h) = $12.50/h
so the pay for 20 hours is ...
(20 h)×($12.50/h) = $250.00
The answer is D because you can multiply the second equation by -4