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Anna [14]
2 years ago
9

How do you solve the following equation. Make sure to use evidence as to how you got your answer.

Mathematics
1 answer:
vampirchik [111]2 years ago
8 0
22 :)

Two negatives make a positive therefore the equation is just 15+7 which is 22.
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Gary has a box of pencils. In the box, 7/21 of the pencils have been sharpened. Select the three fractions that are proportional
Luda [366]

Answer:

A) 1/3 D) 13/39 E) 14/42

Step-by-step explanation:

hope this helps. brainliest please.

8 0
3 years ago
Read 2 more answers
What is the sum of the seven terms of the geometric series 2- 8+32-...?
egoroff_w [7]
The first term is 2 and the common ratio = -8/2 = -4

S7   = 2 * (-4)^7 - 1
                -------------    =      6554   answer
                  -4-1
6 0
2 years ago
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EastWind [94]
It takes 6 seconds for it to hit the ground.

0 = -5x²+20x+60

We can solve this by factoring.  First factor out the GCF, -5:

0 = -5(x²-4x-12)

Now we want factors of -12 that sum to -4.  -6(2) = -12 an -6+2 = -4:
0 = -5(x-6)(x+2)

Using the zero product property, we know that either x-6=0 or x+2=0; this gives us the answers x=6 or x=-2.  Since we cannot have negative time, x=6.
3 0
3 years ago
Read 2 more answers
% of $44 = $33<br> Submit
Lerok [7]

Answer:

75%

Step-by-step explanation:

44*75% = 33

3 0
3 years ago
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