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Pavlova-9 [17]
3 years ago
13

A survey of magazine subscribers shows that 19% rented a car during the past twelve months for business reasons, 52% rented a ca

r during the last twelve months for personal reasons, and 3% rented a car during the last twelve months for both business and personal reasons.
a. What is the probability that a subscriber rented a car during the past 12 months for
business or personal reasons?
b. What is the probability that a subscriber did not rent a car during the past 12 months
for either business or personal reasons?
Mathematics
1 answer:
irinina [24]3 years ago
4 0

Answer:

a. 0.68 or 68%

b. 0.32 or 32%

Step-by-step explanation:

a. The probability that a subscriber rented a car during the past 12 months for  business or personal reasons (P(R)) is given by the probability that they rented a car for business reasons (P(B)=0.19), added to the probability that they rented for personal reasons (P(P)=0.52), subtracted by the probability that they rented for both reasons (P(B and P) = 0.03):

P(R)=P(B)+P(P)-P(B\cap P)\\P(R) = 0.19+0.52-0.03\\P(R)=0.68

b. The probability that a subscriber did not rent a car during the past 12 months  for either business or personal reasons (P(N)) is 100% minus the probability that they rented a car (P(R) = 0.68).

P(N) = 1-P(R) = 1-0.68\\P(N) =0.32

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There are three consecutive integers. The sum of the first two is 51 more than the third. Find the integers.
Sauron [17]

Answer:

52,53,54

Step-by-step explanation:

x, x+1, x+2

2x+1=x+53

x+1=53

x=52

x+1=53

x+2=54

3 0
3 years ago
4 times x with an exponent of 2 plus 2 times y with an exponent of 4. X=-3 y=2
Digiron [165]

Answer:

Step-by-step explanation:

Your equation is: 4*x^{2} +2 * y^{4}

You also know that x = -3 and y = 2. You can rewrite the equation by substituting x and y with their actual values:

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First, you want to do the exponentiation (meaning you want to calculate (-3)^{2} and 2^{4} parts). (-3)^{2} equals 9 and 2^{4} equals 16.

So the equation now is:

4*9+2*16

Now you want to do multiplication. 4*9 equals 36 and 2*16 equals 32. So you're left with:

36+32

Which equals 68.

8 0
3 years ago
Workout the 11th triangular number​
Arturiano [62]
The 11th triangular number = 66
4 0
3 years ago
What is the value of n?<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2n-7%7D%7B3%7D%20%3D15" id="TexFormula1" title=" \fra
kirill [66]
\frac{2n-7}{3} = 15

2n - 7 × 1 = 15 × 3

2n - 7 = 45

2n = 45 + 7

2n = 52

n = 26

Have a nice days.........
5 0
3 years ago
2) What is the value of the digit 2 in the number 529?*<br> 12<br> 20<br> 29<br> 200
alex41 [277]

Answer:

20

Step-by-step explanation:

2 in 529 is in the tens place - 10

So if 2 is in the tens place, we have 20 as the value of 2.

4 0
3 years ago
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