MATHEMATICS COLLEGE

15 points PLEASE HELPKirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?

Answers

Answer 1

Answer:

Answer:

27.50(80) is 2,200

2,200-396-175-264= 1,365

I think this is how u do it correct me if I'm wrong

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Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month. A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces. Breyers would like to set LaTeX: \alpha = 0.025 α = 0.025 for the hypothesis test. It is known that LaTeX: z_{\alpha}=1.96 z α = 1.96 and LaTeX: t_{\alpha}=2.06 t α = 2.06 for the df = 24. Also, it is established that the ice cream consumption follows the normal distribution in the population. The conclusion for this hypothesis test would be

Answers

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $(\bar X-\mu)/((s)/(√(n) ) )$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $(19-17)/((5)/(√(25) ) )$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

QuestionGiven that tan(0) =5/12
and 0 is in Quadrant III. what is cos(0)? Write your answer in exact form. Do not round.
Provide your answer below:

Answers

Answer:

cosΘ = - $(12)/(13)$

Step-by-step explanation:

Given that Θ is in the third quadrant then cosΘ < 0

Given

tanΘ = $(5)/(12)$ = $(opposite)/(adjacent)$

Then 5 and 12 are the legs of a right triangle (5- 12- 13 ) with hypotenuse = 13

Thus

cosΘ = - $(adjacent)/(hypotenuse)$ = - $(12)/(13)$

A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the die roll: * If the result is 1 or 2, the player wins nothing; * If the result is 3, 4, or 5, the player wins 4 dollars; * If the result is 6, the player wins 36 dollars. (Note: Your answer to the question below should be rounded to three decimal places.) If you play this game once (and it costs you nothing to play), what is the expected amount of money you will win?

Answers

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event Probability Value Won

The result is 1 or 2 33.33% $0

The result is 3, 4 or 5 50.00% $4.00

The result is 6 16.67% $36.00

Expected Value:

Event Probability Value Expected Value

The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)

The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)

The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)

Total expected amount of money = $8.00

Final answer:

The expected win from playing the game once is $8. This is calculated by finding the expected value of the winnings, which is the sum of the possible outcomes each multiplied by their probabilities.

Explanation:

This question is asking about the expected amount of money one can win in a game involving a six-sided die. The concept of 'expectation' in probability and statistics refers to the average result of an experiment if it were repeated many times.

In our game, the possible outcomes when you roll the die are $0 (when we roll 1 or 2), $4 (when we roll 3, 4 or 5), and $36 (when we roll a 6). Now, to calculate the expected value, or the expected amount of money one would win in this game, we multiply each possible outcome by their probability and sum them up.

We have a 1/3 chance of winning $0, a 1/2 chance of winning $4, and a 1/6 chance of winning $36. Therefore, the expected value of winnings would be:

(1/3 * $0) + (1/2 * $4) + (1/6 * $36) = $0 + $2 + $6 = $8

Therefore, if you play this game once, the expected amount of money you will win is $8.

Learn more about Expected Value here:

brainly.com/question/37190983

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Rita's graduation picnic will cost $3 for every attendee. At most how many attendees can there be if Rita only budgets a total of $87 dollars for her graduation picnic?

Answers

To figure out how many attendees Rita can have at her picnic, we must divide the total amount that she has in her budget for her graduation picnic ($87) by the cost for every attendee ($3).

$87/$3 = 29

Therefore, Rita can have at most 29 attendees if Rita has the above cost parameters.

Hope this helps!

Can someone explain how to do it aswell please and thank you

Answers

Answer:

B: 24ft^2

Step-by-step explanation:

Area of triangle = (base x height)/2

Step 1: form an equation

a = (12ft x 4ft)/2

Step 2: solve equation

a = 48ft^2 / 2

a = 24ft^2

*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*

Juan and Rob Are selling cookie dough for a school fundraiser Juan Has t Cookie dough Orders Rob has 40 cookie dough orders they have a total of 75 cookie dough orders all together