Answer:
hope it helps...
Step-by-step explanation:
The value of the constant of proportionality is k=5k=5
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx
The value of the constant k is equal to the value of the slope
In this problem we have
y=5xy=5x ------> is a linear direct variation
The slope is m=5m=5
therefore
The value of the constant of proportionality is k=5k=5
Answer:
4.02 gallons of paint
Step-by-step explanation:
44 * 32 = 1408 square feet
1408 / 350 = 4.02
Let's see all the steps:
1) operation : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.
So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!
Answer:
5 cents
Step-by-step explanation:
So the roulette wheel would have a total of 38 numbers, which means 38 different possible cases. Since you are allowed to bet on 5 numbers, the chance to win this is 5 out of 38 and to lose this is 33 out of 38.
If you win, you get 1 + 6 = 7 dollar, and if you lose, you lose 1 dollar.
Therefore the expected amount out of this game is:

or 5 cents
Answer:
<h2>0.1</h2><h2>
Step-by-step explanation:</h2>
please see attached the annotated solution
Given data
p=20%= 0.2
n=15 companies
let x = 5 the number of companies that outsource to overseas consultants
The binomial probability distribution is given as
P(x=λ)=nCx*P^x*q^n-x
we also know that q=1-p