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JulsSmile [24]
3 years ago
12

A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. An adult ticket costs

twice as much as a student ticket.Write a system of linear equations that represents this situation. Let x represent the cost of an adult ticket and y represent the cost of a student ticket.
Mathematics
2 answers:
STatiana [176]3 years ago
8 0
16x + 33y = 260, I think this is correct. Hope this helps!:)
Vika [28.1K]3 years ago
4 0
X= cost of adult tickets
x= 2y= cost of adult ticket
y= cost of student tickets

64 multiplied by the cost of an adult ticket plus 132 multiplied by the cost of a student ticket equals the total earned of $1040.

64x+132y= $1040
Substitute x=2y into equation
64(2y)+132y=1040
128y+132y=1040
260y=1040
Divide both sides by 260
y= $4 cost of student ticket

2y= cost of adult ticket
Substitute y=$4 to find adult cost
2(4)= $8 cost of adult ticket

Student ticket= $4
Adult ticket= $8

Hope this helps! :)

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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

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".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
Evaluate the following expression. (-3)-2
harkovskaia [24]
Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.
In this case, -3 and -2 are integers that are being added.
if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change
thus, (-3)-2 = -5
3 0
3 years ago
Help me with this please
meriva

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

1)

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

2)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

3)

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

4)

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

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lisabon 2012 [21]

Answer:

LOL THAT CAT POOR CAT

Step-by-step explanation:

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3 years ago
Based on the information in the table, how much will Monique earn if she works 36 hours in a week?
Tresset [83]

Answer:

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Step-by-step explanation:

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