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natita [175]
3 years ago
12

At the movie theatre, child admission is $6.00 and adult admission is $9.90 . On Saturday, 155 tickets were sold for a total sal

es of $1312.20 . How many child tickets were sold that day?
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
57 children tickets were sold on Saturday.

You could set this up as a system of equations.
x + y = 155
6.00x + 9.90y = 1312.20

First step is multiplying the first equation by -6 to use the elimination method.

-6.00x + -6.00y = -930
6.00x + 9.90y = 1312.20

The positive and negative 6x cancel out until you are only left with the y.

Combining them would make your equation...
3.9y = 382.2

Next you would divide by 3.9 on both sides to get the y by itself.

The result of that would be y = 98. Which means 98 adult tickets were sold. Then you would plug y into either of the equations to solve for x.
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A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st
maxonik [38]

Answer:

z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413    

p_v =2*P(z>1.413)=0.158  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

Step-by-step explanation:

Data given and notation  

\bar X=5.0611 represent the sample mean

\sigma=0.2803 represent the population standard deviation for the sample  

n=42 sample size  

\mu_o =5 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 5, the system of hypothesis would be:  

Null hypothesis:\mu = 5  

Alternative hypothesis:\mu \neq 5  

If we analyze the size for the sample is > 30 but and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>1.413)=0.158  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

8 0
3 years ago
Write a polynomial that represents the area of the square.
Tema [17]

Answer:

The answer to your question is Area = 49n² - 70n + 25    

Step-by-step explanation:

Data

Length of the side = 7n - 5

Formula

Area of a square = side x side

Process

1.- Substitute values

Area = (7n - 5)(7n - 5)

2.- Expand

Area = 49n² - 35n - 35n + 25

3.- Simplify

Area = 49n² - 70n + 25    

4.- The polynomial is 49n² - 70n + 25  

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SVEN [57.7K]

Answer:

x= 200

Step-by-step explanation:

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Put the value of y in the given equation:

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Move the denominator to the R.H.S

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Combine the like terms

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Answer:

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Step-by-step explanation:

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