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Tresset [83]
3 years ago
12

I need help solving this

Mathematics
1 answer:
pentagon [3]3 years ago
5 0
Y=mx+b where m=slope=(dy/dx) and b=y-intercept (value of y when x=0)

You have two points...(1,-2),(3,2) so

m=(y2-y1)/(x2-x1)=(2--2)/(3-1)

m=4/2=2 now that you have the slope...

y=2x+b, you can use either point to solve for the y-intercept, I'll use (3,2)

2=2(3)+b

2=6+b

b=-4 so the line is:

y=2x-4
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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
Two thirds of a number is 46. Find the number
zheka24 [161]
2/3x = 46
2x = 46x3
2x= 138
x=138/2
x= 69

8 0
3 years ago
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which e
ValentinkaMS [17]

Answer: B

Step-by-step explanation:

If we assume the no. of books to be x.

Value of more books will be 8.15 x

The equation will be

8.15x + 32.5 = 204

8 0
3 years ago
NEED HELP ASAP!!!!!!
melamori03 [73]
Okay so you can add up all the marbles to find a rate and divide.
Total: 20 marbles
Blue: 25% chance
Red: 40% chance
Green: 45% chance
8 0
3 years ago
Read 2 more answers
Which expression can be used to find 12 percent of $98?
8090 [49]

Answer:

B

Step-by-step explanation:

12% is also known as 0.12 which we can multiply by $98 to get the answer.

(hope this helps)

3 0
3 years ago
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