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frozen [14]
3 years ago
12

The times a musician spends performing a rock song and a country song are approximately Normally distributed. The rock song has

a mean time of 133 seconds with a standard deviation of 3.5 seconds, and the country song has a mean time of 126 seconds with a standard deviation of 3.3 seconds. If the musician randomly selects 4 times the rock song is played and 3 times the country song is played, what is the probability that the mean time for the rock song is less than the mean time for the country song?
0.0034
0.0365
0.9964
0.9966
Mathematics
1 answer:
VikaD [51]3 years ago
8 0

Answer:

A. 0.0034

Step-by-step explanation:

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A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri
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Answer:

Weight of dog: 34 pounds,

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Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: 3c

We can represent the given information in an equation as:

d=3c-2...(1)

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

d=c+22...(2)

Equate both equations:

3c-2=c+22

3c-c-2=c-c+22

2c-2=22

2c-2+2=22+2

2c=24

\frac{2c}{2}=\frac{24}{2}

c=12

Therefore, the weight of cat is 12 pounds.

Substitute c=12 in equation (2)

d=c+22

d=12+22

d=34

Therefore, the weight of dog is 34 pounds.

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