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Gnoma [55]
3 years ago
9

The school that Eduardo goes to is selling tickets to a fall musical. On the first day of ticket salesthe school sold 3 adult ti

ckets and 7 student tickets for a total of $81. The school took in $94 onthe second day by selling 4 adult tickets and 7 student tickets. Find the price of an adult ticketand the price of a student ticket.A) adult ticket: $6, student ticket: $13B) adult ticket: $13, student ticket: $6C) adult ticket: $17, student ticket: $9D) adult ticket: $19, student ticket: $8
Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer: B) adult ticket: $13, student ticket: $6

Step-by-step explanation:

Let adults tickets be written as a

Let student tickets be written as s

We then use the information given in the question to form equation. This will be:

3a + 7s = 81 .......... equation i

4a + 7s = 94 .......... equation ii

Subtract equation i from ii

a = 13

Adult tickets cost $13

From equation i

3a + 7s = 81

We put the value of a = 13

3(13) + 7s = 81

39 + 7s = 81

7s = 81 - 39

7s = 42

s = 42/7

s = 6

Students ticket cost $6

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Svetlanka [38]

The coordinate of point S from the giving coordinate point is (-8,4)

<h3>Midpoint of coordinates</h3>

The formula for calculating the midpoint of coordinate point is expressed as:

M(x,y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Determine the measure of the coordinate S
-2 = 4+x₂/2

2(-2) = 4+x₂

x₂ = -4-4

x₂ = -8

Similarly

0 = -4+y₂/2

0(2) = -4+y₂

y₂ = 4

Hence the coordinate of point S from the giving coordinate point is (-8,4)

Learn more on midpoint here: brainly.com/question/5566419

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4 0
2 years ago
What is the volume of a rectangular prism that has a length, width, and height of 1/2 m, 1/4 m, and 2/3 m, respectively?
Talja [164]
V = L * W * H
V = (1/2)(1/4)(2/3) 
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V = 2/24 reduces to 1/12 m <===
8 0
3 years ago
At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T
USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 73, \sigma = 10.6

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

-1.645 = \frac{X - 73}{10.6}

X - 73 = -1.645*10.6

X = 55.6

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0
3 years ago
A retail variety store that advertises extensively by mail circulars expects a sale with 20% probability. Suppose 30 prospects a
KIM [24]

Answer:

The expected number of sales of this store from this sample of 30 is 6.

Step-by-step explanation:

For each prospect, there are only two possible outcomes. Either there is a trade, or there is not. Prospects are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

A retail variety store that advertises extensively by mail circulars expects a sale with 20% probability.

This means that p = 0.2

Suppose 30 prospects are randomly selected from a city-wide mailing.

This means that n = 30

What is the expected number (mean) of sales of this store from this sample of 30?

E(X) = np = 30*0.2 = 6

The expected number of sales of this store from this sample of 30 is 6.

4 0
3 years ago
3x²-24x + 12<br><br><br> What’s the factor of
Tems11 [23]

Answer:

<u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>

Step-by-step explanation:

Given :

  • 3x² - 24x + 12

Divide throughout by 3 to simplify :

  • 1/3 x (3x² - 24x + 12)
  • x² - 8x + 4

Using the Quadratic Formula :

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Factors are :

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6 0
2 years ago
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