Answer:
4
Step-by-step explanation:
Constant of proportionality refers to the slope of the line in this case, the slope of the line is (4-0)/(1-0)=4
Answer:
She would pay <u>$38.17</u>.
The correct answer is B.) 38.17
Step-by-step explanation:
Given:
Sam's Discount Store offers a 2% discount for paying cash.
A set of skillets priced at $38.95.
Now, to find the amount Joan would pay cash for a set of skillets.
Cost price of skillets = $38.95.
Discount rate = 2%.
Now, to get the price after discount:

Therefore, she would pay $38.17.
The correct answer is B.) 38.17
Answer:
one solution with a y value of 5
Step-by-step explanation:
/| x+y-4 = 0| x-y-6 = 0
We try to solve the equation: x+y-4 = 0
x+y-4 = 0 // - x-4
y = -(x-4)
y = 4-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| x+x-6-4 = 0| y = 4-x
2*x-10 = 0 // + 10
2*x = 10 // : 2
x = 10/2
x = 5
We insert the solution into one of the initial equations of our system of equations
For y = 4-x:
y = 4-5
y = -1
We get a system of equations:
/| y = -1| x = 5
Answer: 1. 0.0256
2. 0.4096
Step-by-step explanation:
Binomial probability formula , to find the probability of getting x successes:
, where n= Total number of trials
p= Probability of getting success in each trial.
Let x be the number of customers will make purchase.
As per given , we have
p= 0.20
n= 4
1. The probability that 3 of the next 4 customers will make a purchase will be:-

![P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]](https://tex.z-dn.net/?f=P%28x%3D3%29%3D%284%29%280.20%29%5E3%280.80%29%5E%7B1%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7Bn-1%7D%3Dn%5D)

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256
2. The probability that none of the next 4 customers will make a purchase will be :

![P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%281%29%280.80%29%5E%7B4%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7B0%7D%3D1%5D)

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096
Answer:
Step-by-step explanation:
3 coins make for 8 possible outcomes {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}
4 Possible outcomes conatin 2 or more heads.
Probability (At least 2 Heads) = Favourable outcomes/Total possible outcomes
= 4/8 = 1/2 = 0.5 (50%)