1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pochemuha
1 year ago
9

Comparing Relationships with Tables1. Decide whether each table could represent a proportional relationship.If the relationship

could be proportional, what would the constant ofproportionality be?a. How loud a sound is depending on how farDistance toaway you are.Listener (ft)Sound Level(dB)85791020407367Costb. The cost of fountain drinks at Hot Dog Hut.Volume(fluid ounces)($)$1.4920$1.59$1.8930

Mathematics
1 answer:
yan [13]1 year ago
6 0

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constant of proportionality

Verify each table

table a

Let

x ----> distance

y ----> sound level

For each ordered pair calculate the value of k

k=y/x

so

(5,85) -----> k=85/5=17

(10,79) ----> k=79/10=7.9

the values of k are differents

that means

the table nor represent a proportional relationship

table b

let

x ----> volume

y ----> cost

k=y/x

(16,1.49) ----> k=1.49/16=0.093125

(20,1.59) ----> k=1.59/20=0.0795

the values of k are differents

that means

the table nor represent a proportional relationship

You might be interested in
An automobile’s velocity starting from a complete stop is v(t) = 140t/ 5t+3 where v is measured in feet per second.
777dan777 [17]

Answer:

velocity increases with time

4 0
3 years ago
Read 2 more answers
Someone help me please !!!
son4ous [18]
I believe the correct answer here would be C. x=10/3 because it is the only proportional answer.
7 0
3 years ago
6 to the 2nd + 3 to the second = d to the 2nd
BlackZzzverrR [31]

Answer:

6.70820 or the square root of 45

Step-by-step explanation:

6^2 = 36

3^2 = 9

36 + 9 = 45

\sqrt{45} = 6.70820

3 0
3 years ago
PLEASE HELP WILL GIVE BRANLIEST
notka56 [123]
I think the answer is graphing, plz give me brainliest
4 0
3 years ago
Read 2 more answers
A selective college would like to have an entering class of 950 students. Because not all students who are offered admission acc
pogonyaev

Answer:

a) The mean is 900 and the standard deviation is 15.

b) 100% probability that at least 800 students accept.

c) 0.05% probability that more than 950 will accept.

d) 94.84% probability that more than 950 will accept

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

(a) What are the mean and the standard deviation of the number X of students who accept?

n = 1200, p = 0.75. So

E(X) = np = 1200*0.75 = 900

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15

The mean is 900 and the standard deviation is 15.

(b) Use the Normal approximation to find the probability that at least 800 students accept.

Using continuity corrections, this is P(X \geq 800 - 0.5) = P(X \geq 799.5), which is 1 subtracted by the pvalue of Z when X = 799.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{799.5 - 900}{15}

Z = -6.7

Z = -6.7 has a pvalue of 0.

1 - 0 = 1

100% probability that at least 800 students accept.

(c) The college does not want more than 950 students. What is the probability that more than 950 will accept?

Using continuity corrections, this is P(X \geq 950 - 0.5) = P(X \geq 949.5), which is 1 subtracted by the pvalue of Z when X = 949.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{949.5 - 900}{15}

Z = 3.3

Z = 3.3 has a pvalue of 0.9995

1 - 0.9995 = 0.0005

0.05% probability that more than 950 will accept.

(d) If the college decides to increase the number of admission offers to 1300, what is the probability that more than 950 will accept?

Now n = 1300. So

E(X) = np = 1300*0.75 = 975

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15.6

Same logic as c.

Z = \frac{X - \mu}{\sigma}

Z = \frac{949.5 - 975}{15.6}

Z = -1.63

Z = -1.63 has a pvalue of 0.0516

1 - 0.0516 = 0.9484

94.84% probability that more than 950 will accept

5 0
3 years ago
Other questions:
  • The volume of each cube is given. Estimate the side length of the cube to the nearest integer. Use the formula V=s(cubed). The v
    10·1 answer
  • Which inequality represents the graph below
    10·1 answer
  • The perimeter of a rectangle is 36 centimeters the width of the rectangle is 6 less than twice the length find the length and th
    11·1 answer
  • Solve the system of equations:<br> y= x-3<br> Y=1258+6
    5·1 answer
  • Whats 2.48 divided by 0.4?
    14·1 answer
  • A square has a side length of 64 inches. This square is dilated by a scale factor of 1/4 to create a new square. What is the sid
    5·2 answers
  • Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.
    6·1 answer
  • (a^3)^2 x a^5 will mark as brainliest
    9·2 answers
  • Its and easy solve i just need the answers i will mark brainlieast
    13·1 answer
  • Find the measure of each angle indicated. Round to the nearest tenth.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!