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3 years ago

Solve the system of inequalities and indicate all the integers which are in the solution set:

1 answer:

8 0

1.) a>10
2.) a<3.5
How I got it: 1.) Subtract 3 from both sides, leaving -2a<10.
2.) Divide by -2 from both sides, remember to flip the inequality sign when dealing with negatives. This leaves you with a>10.
For number 2.) I divided both sides by 5, leaving a<3.5, though this answer may be wrong.

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Real estate ads suggest that 56 % of homes for sale have garages, 27 % have swimming pools, and 16 % have both features. a) W

Marizza181 [45]

Answer:

a) 0.4

b) 0.28

c) The events are not independent

d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},

A = {homes with pool and garage} = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

a) B = {homes with garage but not pool}. This set B is the set Gar without set A: B = Gar / A

P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

d) Gar and Pool are not mutually exclusive, because there are houses with both pool and garage. We know that because P(A) is not zero.

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3 years ago

A store buys an item for $10. To earn a PROFIT of $25, what percent does 13 po

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Answer:

150%

Step-by-step explanation:

25-10= 15

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1.5 = 150%

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Answer:

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Step-by-step explanation:

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12. A carpenter made two tables. The first table is 4 feet

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Answer:

a. True

b. True

c. False

d. False

Step-by-step explanation:

<u>First Table</u>

Length=10 feet, Width=4 feet

Area =10 X 4=40 Square Feet

<u>Second Table</u>

The second table is half as long as the first table.

Length =0.5 X 10 =5 feet

Area=5 X Width= 5w

The area of the second table is one fourth the area of the first table.

Area of Second Table = $\frac{1}{4}$ X Area of first table

5w= $\frac{1}{4}$ X 40

5w=10

Width of the Second table, w=2 feet

The following are true.

(a)The width of the second table is 2 feet.

(b) The area of the second table is 10 square feet.

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2 years ago

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Aleksandr-060686 [28]

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￼ Solve the system of inequalities and indicate all the integers which are in the solution set:￼

Solve the system of inequalities and indicate all the integers which are in the solution set: