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marshall27 [118]
2 years ago
5

RESTAURANTS In 2012, a popular pizza franchise had 2483 restaurants. In 2017, there were 2606 franchised

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
5 0

y  -  2483  =  24.6(x - 2)

Let x represent the number of years after 2010

Let y represents the number of restaurants in x years

2012 is 2 years after 2010

2017 is 7 years after 2010

Number of restaurants owned by RESTAURANTS in 2012 = 2483

This can be represented in coordinate form as (2, 2483)

Number of restaurants owned by RESTAURANTS in 2017 = 2606

This can be represented in coordinate form as (7, 2606)

The equation of a line in point-slope form is:

y-y_{1} = m(x - x_{1}  )

where m represents this slope, and is calculated as:

m = \frac{y_{2} - y_{1} }{x_2-x_1} \\m = \frac{2606-2483}{7-2} \\m = \frac{123}{5} \\m = 24.6

Substitute x₁ = 2, y₁  = 2483, and m = 24.6 into the point-slope equation

The equation in point-slope form becomes:

y  -  2483  =  24.6(x - 2)

Learn more here: brainly.com/question/6497976

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Answer:

30, 31, 32, 35, and 38

Step-by-step explanation:

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2 years ago
Jennifer has a bag of chips that contains 2 red chips and 1 black chip. If she also has a fair die, what is the probability that
fredd [130]
<span> the probability that she rolls an odd number AND and pulls a red chip

so it is = Prob(odd no) * Prob(red chip)

Prob(odd no) for a fair die = 1/2

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so the ans is 1/2 * 2/3 = 1/3

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2 years ago
Read 2 more answers
Elijah and Jonathan play on the same soccer team. They have played 3 of their 15,
Lynna [10]

Answer:

Only Elijah's model is correct

Step-by-step explanation:

The data given in the question tells us they have 12 games left on their soccer team. Each one of them tried to simulate the fact by creating some model which look like a balance between quantities.

Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance. On the other side, he placed 15 cubes of value 1. He was obviously modeling the fact that 15 cubes (games due to play in our case) should be equal to 3 cubes (games already played) plus the x numbers left to play

This model if perfect, since the only way to equilibrate the balance is setting x to 12, the games left to play

Jonathan used a table with 3 x's in a row and a 15 in the second row, trying to model the same situation. To our interpretation, this table doesn't show the number of games left to play. If we equate 3x = 15, we get x=5 which has nothing to do with the situation explained in the question, so this model is not correct.

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2 years ago
Tesla wanted to determine the average miles per kWh that their vehicles get across all models and variations. They took a sample
LiRa [457]

Answer:

\mu_{\bar x} = \mu = E(X) =30KWh

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we select a sample of n =100

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

So then the sample mean would be:

\mu_{\bar x} = \mu = E(X) =30KWh

And the standard deviation would be:

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3

6 0
2 years ago
If i leave my house at 6:52 am and run 1 mile at an easy pace (8:15 per mile), then 3 miles at tempo (7:12 per mile) and 1 mile
FinnZ [79.3K]

Running 2 miles at 8:15 per mile takes 16:30 minutes.

Running 3 miles at 7:12 per mile takes 21:36 minutes.

The total running time is 16:30 + 21:36 = 38:06 minutes. That length of time after 6:52 am is 7:30:06 am.

You get home for breakfast at 6 seconds past 7:30 am.

8 0
2 years ago
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