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2 years ago

15

For which of the following inequalities is x greater than or equal to 4 a solution?

1 answer:

telo118 [61]2 years ago

4 0

Either a or b. Depends on what X equals. For example, question a.- X+3, it has to be at least 1. Answer b- 3X, has to be a little over 2. So I guess the most correct answer has to be A.

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A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 5% will need repairs

gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

<u>a) Neither will need repair:</u>

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

<u>b) Both will need repair:</u>

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

<u>c) At least one car will need repair</u>

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74) = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0

3 years ago

Given f(x)=x+7 and g(x)=x-3 what is f(x)+g(x) ? A.2x+4 B.10x C.2x-7 D.-2x+10

Zinaida [17]

F(x)+g(x) = (x+7) + (x-3) =
x + 7 + x - 3 =
2x + 4

<span>
A.2x+4</span>

7 0

3 years ago

Read 2 more answers

A cuboid has a square base.

padilas [110]

The length of one side of the square base is 8.5 centimeters.

<u>Given the following data:</u>

Volume of cuboid = 867 cm

Height = 12 cm

To find the length of one side of the square base:

Mathematically, the volume of a cuboid is given by the formula:

$Volume = Base \; area$ × $Height$

Substituting the given values, we have:

$867 = Base \; area$ × $12$

$Base\;area = \frac{867}{12}$

Base area = 72.225 $cm^2$

Now, we can find the length by using the formula:

$Area \;of\;a \;square = length^2$

$72.25 = length^2$

$Length = \sqrt{72.25}$

<em>Length</em><em> = </em><em>8.5 centimeters</em>.

Therefore, the length of one side of the square base is 8.5 centimeters.

Find more information: brainly.com/question/11037225

8 0

1 year ago

Find the volume of the rectangular

Kobotan [32]

Answer:

Hope this will help you

Step-by-step explanation:

$volume \: of \: rectangular \: prism = l \times b \times h \\ = 0.6 ft\times 0.8 ft\times 3.8ft \\ = 1.824 {ft}^{3}$

4 0

2 years ago

Is 1,341,491 divisible by 9?

zheka24 [161]

Answer:

no

Step-by-step explanation:

you would get this: 149054.555556

8 0

2 years ago

Read 2 more answers