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sergeinik [125]
2 years ago
9

Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group

and the distance he walks the dogs each day​
Mathematics
1 answer:
hammer [34]2 years ago
5 0
Can you please add the graph, plus the question?
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When a frying pan containing an uncooked egg is placed on the stove top and the electric burner is turned on, the egg then cooks
gregori [183]

When the burner is off there is no energy being produced.

Once you turn the burner in it begins creating energy which is used to cook.

The answer is: newly created energy that was not present earlier.

8 0
2 years ago
The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.
serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that Barry Bonds hits a home run on any given at-bat is 0.16

This means that p = 0.16

Part A: What is the probability that the next home run will be on his fifth at-bat?

0 on his next 4(P(X = 0) when n = 4)

Home run on his 5th at-bat, with 0.16 probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.16)^{0}.(0.84)^{4} = 0.49787136


0.49787136 *0.16 = 0.0797.

0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

E = \frac{n}{p}

In this question, n = 1, p = 0.16. So

E = \frac{1}{0.16} = 6.25

The expected number of at-bats until the next home run is 6.25.

6 0
2 years ago
Each month, a phone company charges $30 talk time plus $0.50 for each additional minute.
OlgaM077 [116]

Answer:

Step-by-step explanation: If 1 minutes of talk = 30 and texting = 30

and each additional minute of talk = 0.50

 

then the bill would be (for C = total cost)

 

C = 20+30+(0.45 • x)

 

OR

 

C = 50 + 0.45x

6 0
2 years ago
Read 2 more answers
There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of q
MakcuM [25]
Y=2x + 6. ( because 2x is 2 quarters a day and you started with 6
8 0
3 years ago
Read 2 more answers
Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.
erastova [34]

Problem: You do not have an attached picture. Though, I can help you out with this question.

So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".

3/5x=30

3/5x × 5/3=30 × 5/3

x=50

Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.

Variable in here is x.

3 0
2 years ago
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