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Mashutka [201]
3 years ago
6

Number of Tickets, X 2 5 10 13 Cost, y $8.50 $21.25 $42.50 $55.25​

Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer:

4.25

Step-by-step explanation:

Take your cost and divide it by the number of tickets.

55.25/13 = 4.25

21.25/5 = 4.25

No matter which pair you use, the answer is 4.25

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8 0
3 years ago
What is the solution to the rational equation x over 2x plus 1 minus 1 over 4 equals 2 over 2x plus 1
aalyn [17]
We want to solve
\frac{x}{2x+1} - \frac{1}{4} = \frac{2}{2x+1}

Subtract 2/(2x+1) from each side.
\frac{x}{2x+1} - \frac{2}{2x+1y} - \frac{1}{4} = 0

Add 1/4 to each side, and simplify the left side.
\frac{x-2}{2x+1} = \frac{1}{4}

Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1

Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2   or x = 4 1/2.

Answer:  x =  \frac{9}{2} \,\, or \,\, x = 4 \frac{1}{2}

5 0
3 years ago
What proportion of US women have a height greater than 69.5 inches?
kiruha [24]

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a <em>normal distribution</em> 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.

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5  inches, hence \mu = 65, \sigma = 2.5.

The proportion of US women that have a height greater than 69.5 inches is <u>1 subtracted by the p-value of Z when X = 69.5</u>, hence:

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

Z = \frac{69.5 - 65}{2.5}

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at brainly.com/question/24663213

3 0
3 years ago
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Answer:

Step-by-step explanation:

5 0
3 years ago
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