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zavuch27 [327]
3 years ago
10

Alicia and her friends went out for lunch during the week. The bill for all four of the woman was $96. The women decided that th

eir waiter was going to get a 20% tip from them . What is the amount of tip that server will get from the ladies.
Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer:

The amount of that tip is $19.20

Step-by-step explanation:

Turn the percent into a decimal, 20% is now .20.

Multiply- 96×.20= 19.20

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A consumer agency is investigating the blowout pressures of Soap Stone tires. A Soap Stone tire is said to blow out when it sepa
Likurg_2 [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Impact force needed for Sap Stone tires to blow out. (foot-pounds)

n= 29, S= 1358 foot-pound

a)

Soap Stone claims that "The tires will blow out at an average pressure of μ= 26000 foot-pounds with a standard deviation of σ= 1020 foot-pounds.

According to the consumer's complaint, the variability of the blown out forces is greater than the value determined by the company.

I)

Then the parameter of interest is the population variance (or population standard deviation) and to test the consumer's complaint you have to conduct a Chi-Square test for σ².

σ²= (1020)²= 1040400 foot-pounds²

H₀: σ² ≤ 1040400

H₁: σ² > 1040400

α: 0.01

II)

X^2= \frac{(n-1)S^2}{Sigma^2} ~~X^2_{n-1}

X^2_{H_0}= \frac{(n-1)S^2}{Sigma^2}= \frac{(29-1)*(1358)^2}{1040400} = 49.63

III)

This test is one-tailed to the right and so is the p-value. This distribution has n-1= 29-1= 28 degrees of freedom, so you can calculate the p-value as:

P(X²₂₈≥49.63)= 1 - P(X²₂₈<49.63)= 1 - 0.99289= 0.00711

⇒ The p-value is less than the significance level so the test is significant at 1%. You can conclude that the population variance of the blowout forces is less than 1040400 foot-pounds², at the same level the population standard deviation of the blow out forces is less than 1020 foot-pounds.

b)

99% CI for the variance. Using the X² statistic you can calculate it as:

[\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ]

X^2_{n-1;\alpha /2}= X^2_{28; 0.005}= 13.121

X^2_{n-1;1-\alpha /2}= X^2_{28; 0.995}= 49.588

[\frac{28*(1358)^2}{49.588} ;\frac{28*(1358)^2}{13.121} ]

[1041312.253; 3935415.898] foot-pounds²

I hope this helps!

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3 years ago
An episode of the television show, Legend of the Far Mountain, normally lasts 30 minutes and has 8 minutes of commercials. Tonig
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Answer:

Step-by-step explanation:

Yo to be honest I’m looking for the answer too. Just ask your math teacher bruh.

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What is the definition of point-slope form?
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The equation of a straight like in the from y – y1 =m(x-x1) where m is the slope of the like and (x1 , y1) are the coordinates of a given point on the line — compare slope intercept form.
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9x^2-6x+8=0 what is the fifth step in solving this equation
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Answer:

write the equation as a binomial

Step-by-step explanation:


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