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3 years ago

The circumference of the bike tire above is 83.524 inches. What is the radius of the bike tire? (Use 3.14 for .)

1 answer:

6 0

Your answer is C. 13.3 in. You take your circumference, and divide it by 3.14, which gives you your diameter. Then you divide that by 2 for the radius.

83.524/3.14=26.6
26.6/2=13.3

Answer: 13.3

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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.

5 0

3 years ago

Evaluate please 2x+(−6)∙(y+1) for x=−1.5 and y=−3

Andreyy89

First, you plug your given values in. Since x is 1.5, it will be multiples by 2x to get 3.2. Since y is -3, it will be added to 1 to get -2. Finally, the two are multiplied together to get -6.4 if I am correct.

8 0

3 years ago

Read 2 more answers

Find thr valuse of x, rounded to the nearest tenth. 3.8 4 2.7 2.9

irina1246 [14]

Answer: 4 (OPTION 2)

Step-by-step explanation:

1. To solve this problem you must apply the Intersecting secants theorem, as you can see below:

$(A+B)B=(C+D)D$

Where:

$(A+B)=6$

$B=x\\(C+D)=8\\D=2$

2. Then you must susbstitute values and solve for x, as following:

$6x=24\\x=24/6\\x=4$

Therefore the answer is the second option.

3 0

3 years ago

Read 2 more answers

they've invested to earn $20 in a savings account that offer 3% return on the investment the value of david's investment will be

Firlakuza [10]

I=PRT
P=present amount
R=rate
T=time
basically
20+interest is more than or equal to 400
20+I>400
minus 20 both sides
I>380

solve
P=20
R=3%=0.03
T=?
I=PRT
380<I=PRT
380<20(0.03)(T)
380<0.6T
divide both sides by 0.6
633.33333<T
633.33 years at least

6 0

3 years ago

Is 6 ft 10 ft 12 ft a right triangle

jek_recluse [69]

Answer:

yes..................................

8 0

3 years ago

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