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gtnhenbr [62]
3 years ago
9

Choose an American household at random, and let the random variable X be the number of cars (including SUVs and light trucks) th

ey own. Here is the probability model if we ignore the few households that own more than 6 cars:
Number of cars X Probability 0 1 2 3 4 5 6

0.07 0.31 0.43 0.12 0.04 0.02 0.01

A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold?
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

19% of households have more cars than the garage can hold

Step-by-step explanation:

We are given the following distribution for the number of cars owned by a family.

Number of cars X:        0        1           2        3           4          5          6

Probability:                0.07    0.31     0.43    0.12     0.04     0.02    0.01

We have to find the percentage of households have more cars than the garage can hold.

A garage can hold two cars. Thus, the household with more than two cars are the households that  have more cars than the garage can hold.

The given distribution is a discrete probability distribution.

Thus, we evaluate:

P(x\geq 3) = P(x+3) + P(x+4) + P(x+5) + P(x+6)\\P(x\geq 3) =   0.12 +0.04+ 0.02 +0.01 = 0.19\\P(x\geq 3) = 19\%

Thus, 19% of households have more cars than the garage can hold.

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3 years ago
find an expression for the area of a rectangle of sides 2x+3 and x-1 given that the perimeter is 28cm what is the value of x
Ierofanga [76]

Answer:

4cm

Step-by-step explanation:

Given data

L=(2x+3)

W=(x-1)

P=28cm

A= L*W

A= (2x+3)*(x-1)

open bracket

A= 2x^2-2x+3x-3

collect like terms

A= 2x^2+x-3

P= 2L+2W

P= 2*(2x+3)+2(x-1)

P= 4x+6+2x-2

collect like terms

P= 6x-4

but p= 28

28= 6x-4

28-4= 6x

24= 6x

x= 24/6

x= 4cm

Hence x= 4cm

4 0
2 years ago
Of the 800 participants in a marathon 220 are running to raise money for a cause. How many participants out of 100 are running f
nadezda [96]

Answer:

27.5 /100 are running for a cause

Step-by-step explanation:

We know that 220/800 are running for a cause

Divide the top and bottom by 8 to get the fraction out of 100

220 /8 =27.5

800/8 = 100

27.5 /100 are running for a cause

7 0
3 years ago
Which number is rational? 2 square root, pi ,10 square root ,16 squeare root
ki77a [65]

Answer:

Square root of 16 is rational beacuse Square root of 16=4 Whlie the others are Irational.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Guys please help me with this question
Bond [772]

Answer:

y=4/3x+15 1/3 (or) y=4/3x+46/3

Step-by-step explanation:

If it’s parallel, it has to have the same slope (4/3).  

Plug 7 in for x, and then find out what you have to do to make y equal -6.

y=4/3x+15 1/3 (or) y=4/3x+46/3

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2 years ago
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