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natima [27]
3 years ago
15

At the Annual 7th grade breakfast, the teachers buy the students a breakfast of bagels and juice. The table below shows the rela

tionship between the number of students attending the breakfast and the total cost. If C=mS, where Cis the cost of S students and m is the constant of proportionality, what is the value of x? In June, the 7th grade teachers bought breakfast for150 students. What was the total cost? Show your work.​

Mathematics
1 answer:
Serga [27]3 years ago
6 0

Answer:

$187.5

Step-by-step explanation:

if each student costs 1.25 dollars for their meal then you do 150 times 1.25 and get 187.5

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Answer:

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7 0
2 years ago
If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an
Elis [28]

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

\frac{8}{40}*100=20\%

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

5 0
4 years ago
We have N cars on a circular one-way road; they have the same make, same model, same year and the same fuel economy. The total a
Natasha2012 [34]

Answer: Satisfied for n=1, n=k and n=k+1

Step-by-step explanation:

The induction procedure involves two steps

First is

Basic Step

Here we consider that for the value n=1, there is one car and it will always make the full circle.

Induction Step

Since basic step is satisfied for n=1

Now we do it for n=k+1

Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.

Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.

So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.

8 0
3 years ago
Which expression represents "5 less than twice x"?
Strike441 [17]
2x-5 is the expression that represents 5 less than twice x
5 0
3 years ago
Read 2 more answers
Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove tha
Aleksandr-060686 [28]

Answer:

\bar X_1 represent the sample for the sample 1

\bar X_2 represent the sample for the sample 2

s_1 represent the deviation for the sample 1

s_2 represent the deviation for the sample 2  

n_1 = 81 represent the sample size for the group 1

n_2 = 81 represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis :\mu_1 -\mu_2 \leq 0

Alternative hypothesis: \mu_1 -\mu_2 >0

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.  

Solution to the problem

We assume that we have the following statistics:

\bar X_1 represent the sample for the sample 1

\bar X_2 represent the sample for the sample 2

s_1 represent the deviation for the sample 1

s_2 represent the deviation for the sample 2  

n_1 = 81 represent the sample size for the group 1

n_2 = 81 represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis :\mu_1 -\mu_2 \leq 0

Alternative hypothesis: \mu_1 -\mu_2 >0

5 0
4 years ago
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