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slava [35]
3 years ago
13

A CD usually sells for $13.00. If the CD is 30% off, and sales tax is 5%, what is the total price of the CD, including tax?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0

Answer:

$9.56

Step-by-step explanation:

$13.00 x .30 = 3.90

13.00 - 3.90 =  $9.10 x .05 = 0.46

$9.10 + 0.46 = 9.56

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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
A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches.
gizmo_the_mogwai [7]

Answer:20.25

Step-by-step explanation:

If you do 81 divided by 4

I think Im not sure

8 0
3 years ago
How do you find Find the value of x.
likoan [24]

Answer:

x = 114

Step-by-step explanation:

Since p and q are parallel, the angle = 104° is equal to the angle = ( x - 10 )° by alternate exterior angles.

That means 104 = ( x - 10 )

                    +10          +10

                 =  114 = x

3 0
2 years ago
A bag contains 10 marbles: 4are green, 2are red, and 4 are blue. Carmen chooses a marble at random, and without putting it back,
kupik [55]

Answer:

2/15

Step-by-step explanation:

There is a 4/10 probability that she chooses blue the first time, but the second time it is a 3/9 chance because she didn't put the marble back so there are 9 marbles in total, 3 blue ones.

4/10 x 3/9 = 2/5 x 1/3 = 2/15

I hope this helps :)

Edit: Messed up the multiplication, whoops!

4 0
3 years ago
Read 2 more answers
the number if baskets nikki can make varies directy with the time she spends making the baskets she can make 4 baskets in 1/2 an
Amanda [17]

Answer:

40 baskets

Step-by-step explanation:

Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.

3 0
3 years ago
Read 2 more answers
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