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ivanzaharov [21]
3 years ago
10

Arsenios says he gets 70 utils per slice from eating pepperoni pizza versus 50 utils from eating cheese pizza. Stavros says he g

ets 60 utils from eating the same pepperoni pizza. What can we conclude
Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

Arsenios prefers pepperoni pizza to cheese pizza.

Step-by-step explanation:

Utils are units of utility that show the satisfaction that a consumer gets from using a product. As Arsenios assigns 70 utils per slice from eating pepperoni pizza versus 50 utils from eating cheese pizza, this indicates that he gets more satisfaction from eating pepperoni pizza and because of that, the answer is that we can conclude that Arsenios prefers pepperoni pizza to cheese pizza.

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Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 2500

For the alternative hypothesis,

µ < 2500

This is a left tailed test.

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 2500

x = 2470

σ = 75

n = 25

z = (2470 - 2500)/(75/√25) = - 2

Since it is a left tailed test, we would determine the area to the left of z = - 2 from the normal distribution table. the probability corresponding to the z score is 0.023

Since alpha, 0.01 < the p value, 0.023, then we would fail to reject the null hypothesis. Therefore, at a 1% level of significance, there is not enough evidence that the mean cost is lower than $2,500

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4 years ago
Find the slope of the line passing through (-4, 5) and (-8,-5)
xxTIMURxx [149]

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{(-4)}}}\implies \cfrac{-10}{-8+4}\implies \cfrac{-10}{-4}\implies \cfrac{5}{2}

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Step-by-step explanation:

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andrey2020 [161]
The square root of 25 is 5. 
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9/11 - 1/2 in it's simplest form​
Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: <u>Solve.</u>

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

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