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Olenka [21]
3 years ago
10

Use the graph to answer the following questions. Part A: Describe the relationship that the graph depicts. Part B: Locate two po

ints on the line. Identify the coordinates of each point. Explain what the coordinates mean in the context of the problem.
ANSWER FOR BRAINLIEST! Limited Time Only.

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
A: The greater the number of days, the higher the level of the flood water in inches.

B: Coordinates of two points = (3,4) and (6,8).
After 3 and 6 days, the heights of the flood water are 4 inches and 8 inches respectively.
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WILL GIVE BRAINLIEST!!!!!!
Mumz [18]

Answer: 126 milligrams

Step-by-step Easy to answer but all your doing is converting your mg's and 35% into decimals. and you will get your answer

8 0
3 years ago
Larry and Donna bought a sofa at the sale price of $1,344. The original price of the sofa was $1,920. Find the discount rate
velikii [3]

Answer:

30% discount

Step-by-step explanation:

To find the percent discount write a proportion.

\frac{1344}{1920}=\frac{x}{100}

Cross multiply numerator with denominator of each fraction to solve for x.

1344(100) = 1920(x)

134400 = 1920x

70 = x

This means you pay 70% of the price. The discount was 30%.

8 0
3 years ago
A rectangular prism has a volume of 150in 3. The area of the base is 30in 2. What is the height of the prism?
weqwewe [10]

V = B · h; where B is the area of the base

150 in³ = 30 in² · h

5 in = h

Answer: 5 in

7 0
3 years ago
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m
iris [78.8K]

Answer:

4 minutes = mile mark 3

8 minutes = mile mark 6

the constant of proportionality is both 3/4 so the answer is 3/4 miles per minute

7 0
4 years ago
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters a
Radda [10]

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution 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.

It is believed that 11% of voters are Independent.

This means that p = 0.11

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that n = 33

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

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

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

So

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

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724

P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202

P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041

P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X < 2) = 0.0214 + 0.0872 = 0.1086

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914

0.8914 = 89.14% probability that more than 2 people are Independent.

8 0
3 years ago
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