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kherson [118]
3 years ago
15

What is the GCF of 36 and 84

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0
The greatest common factor( GCF) of 36 and 84 is 12.
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Real estate ads suggest that 75 % of homes for sale have​ garages, 29 % have swimming​ pools, and 13 % have both features. What
Vedmedyk [2.9K]

Answer: a) 91%  b) 9% c) 16%

Step-by-step explanation:

Let A be the event that homes for sale have​ garages and B be the event that homes for sale have​ swimming​ pools.

Now, given :P(A)=75\%=0.75

P(B)=29\%=0.29

P(A\cap B)=13\%=0.13

a) P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow\ P(A\cup B)=0.75+0.29-0.13=0.91

Hence, the probability that a home for sale has a pool or a​ garage is 91%.

b) The probability that a home for sale has ​neither a pool nor a​ garage is given by :-

1-P(A\cup B)=1-0.91=0.09

Hence, the probability that a home for sale has ​neither a pool nor a​ garage is 9%.

c) The probability that a home for sale has a pool but no​ garage is given by :-

P(B)-P(A\cap B)=0.29-0.13=0.16

Hence, the probability that a home for sale has a pool but no​ garage is 16%.

8 0
3 years ago
Classify the following random variables as discrete or continuous:
Bogdan [553]

Answer:

a. Discrete

b. Continuous

c. Continuous

d. Discrete

e. Discrete

f. Continuous

Step-by-step explanation:

The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions.

In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable .

a.

Variable X consists of number of automobile accidents which can be counted. So, it is a discrete variable.

b.

Variable Y consists of length of time which can't  be counted but can be measured. So, it is a continuous variable.

c.

Variable M consists of amount of milk produced which can't  be counted but can be measured. So, it is a continuous variable.

d.

Variable N consists of number of eggs laid which can be counted. So, it is a discrete variable.

e.

Variable P consists of number of buildings permit issued which can be counted. So, it is a discrete variable.

f.

Variable Q consists of weight of grain which can't  be counted but can be measured. So, it is a continuous variable.

3 0
3 years ago
Mhanifa can you please help with this??? Look at the picture attached. Thanks!
EastWind [94]

Answer:

<u>Properties of a rhombus used to solve the following </u>

  • <em>Opposite angles are congruent</em>
  • <em>Diagonals are angle bisectors</em>
  • <em>Diagonals are perpendicular to each other</em>
  • <em>Adjacent angles are supplementary</em>

(30)

  • ∠2 = ∠3 = ∠5 = 27°
  • ∠1 = ∠4 = 180° - (2*27°) = 126°

(31)

  • ∠4 = 70°
  • ∠1 = ∠2 = ∠3 = ∠5 = 1/2(180° - 70°) = 1/2(110°) = 55°

(32)

  • ∠1 = ∠2 = ∠5 = 90° - 26° = 64°
  • ∠3 = 26°
  • ∠4 = 90°

5 0
2 years ago
A local pizzeria sold 65 pizzas yesterday. Suppose the actual number of pizzas sold today was 60. Describe
Rudik [331]
We need to find the difference first. 65 - 60 = 5. Now we must find what percent 5 is of 65. It is 7,7%. The number decreased, and so it is a 7,7% decrease.
7 0
3 years ago
Write as a decimal 23/9
Slav-nsk [51]

Answer:

2.555555555555.....

(the 5 is repeating)

Step-by-step explanation:

This is the answer because:

1) To convert the fraction to a decimal, you have to divide the numerator by the denominator.

2) Therefore, 23/9 is 2.5 (the 5 is repeating)

Hope this helps!

8 0
3 years ago
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