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frosja888 [35]
3 years ago
6

F(x) x2+5x-4rewrite each equation in vertex form

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0
B= j squared thanks for shopping and come agin
aleksley [76]3 years ago
4 0
F(x)=(x+5/2)^2-31/4 is the answer i believe

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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
Help for
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3 0
3 years ago
Find the sale price of the item. Round to two decimal places if necessary. Original price: $71.00 Markdown: 33% The sale price i
soldi70 [24.7K]

Answer:

8. $35.10

9. $59.63

10. $13.43

11. $70

12. Take the percent you pay (100-the discount) as a decimal and multiply it by the regular price.

Step-by-step explanation:

For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22-78. We use this percent byb  multiplying the price with a decimal. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.

8. Percent off is 22%. We pay 78%=0.78.

45(0.78)=$35.10

9. Percent off is 33%. We pay 67%=0.67.

89(0.67)=$59.63

10. Percent off is 44%. We pay 56%=0.56.

23.99(0.56)=$13.43

11. Percent off is 75%. We pay 25%=0.25.

279.99(0.25)=$70

12. See explanation above.

3 0
3 years ago
Read 2 more answers
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