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Debora [2.8K]
1 year ago
10

Bow is running a concession stand at a baseball game. He is selling nachos and water. Each other nachos cost $2.00, and a bottle

of water $1.00. At the end of the game, he made a total of $86. Both sold a total of 60 orders of nachos and bottles of water combined. Let X equal the number of nacho sold and Y equals the number of water sold. The system of each equations is grafted below. Is there a viable solution, if so what is the ordered pair?

Mathematics
1 answer:
labwork [276]1 year ago
7 0

The Solution:

From the graph, there is a point of intersection between the graphs of the two equations in the system. This implies that:

There is a viable solution to the given system of equations at the point where the two lines intersect, that is, at the point (26,34).

So, the correct answer is [option 3]

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Insert four arithmetic means between -1 and 14
34kurt

Answer:

Step-by-step explanation:

d = 7%2F2

-2, -2+7%2F2, -2+2%287%2F2%29, -2+3%287%2F2%29, 12

-2, -4%2F2+7%2F2, -4%2F2+14%2F2, --4%2F2+21%2F2, 12

-2, 3%2F2, 10%2F2, 17%2F2, 12

 

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5 0
3 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

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

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Cube - Finding Volume when you have Surface Area (no model of prism for this question)
mr Goodwill [35]

Answer:

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Step-by-step explanation:

Divide 384 by 6 to find the surface area of one face of the cube. 384/6 = 64.

Find the square root of 64 to find both the length and width of the square. They are equal in a square. \sqrt{64} = 8 = x

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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