9. What is the value
of the expression?
21.3 + (-34.87)

Answers

Answer 1
Answer:

Answer:

-13.57

Step-by-step explanation:

21.3 + (-34.87) = -13.57

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A local BBQ restaurants offers 2 side dishes with a lunch plate. There are 7 side dishes. How many choices of side dishes does a customer have

Answers

Step-by-step explanation:

This is a question that bothers combination. Combination has to do with selection.

When selecting r objects out of a pool of n objects, the number of ways this can be done is:

nCr = n!/(n-r)!r!

If a local BBQ restaurants offers 2 side dishes with a lunch plate, and there are 7 side dishes, the number of choices that the customer have is expressed as:

7C2 = 7!/(7-2)!2!

7C2 = 7!/(5)!2!

7C2 = 7*6*5!/5! * 2

7C2 = 7*6/2

7C2 = 42/2

7C2 = 21 choices

Hence the customer has 21 choices of side dishes to make

Assume a significance level ofα=0.05

and use the given information to complete parts​ (a) and​ (b) below.Original​ claim:

LessLess

than

51​%

of adults would erase all of their personal information online if they could. The hypothesis test results in a​ P-value of

0.0148

a. State a conclusion about the null hypothesis.​ (Reject

Upper H 0H0

or fail to reject

Upper H 0H0​.)

Choose the correct answer below.

A.

RejectReject

Upper H 0H0

because the​ P-value is

less than or equal toless than or equal to

alphaα.

B.

RejectReject

Upper H 0H0

because the​ P-value is

greater thangreater than

alphaα.

C.

Fail to rejectFail to reject

Upper H 0H0

because the​ P-value is

greater thangreater than

alphaα.

D.

Fail to rejectFail to reject

Upper H 0H0

because the​ P-value is

less than or equal toless than or equal to

alphaα.

b. Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion?

A.

The percentage of adults that would erase all of their personal information online if they could is

lessless

than or equal to

51​%.

B.

There

isis

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is

moremore

than

51​%.

C.

The percentage of adults that would erase all of their personal information online if they could is

moremore

than

51​%.

D.

There

is notis not

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is

moremore

than

51​%.

Answers

Answer:

Part a: The correct answer is A, reject H0 because p value is less than \alpha. Part B: The correct answer is C, the percentage of adults that would erase their personal information online if they could is more than 51%.

Step-by-step explanation:

part a. The essential idea of hypothesis testing in statistics is to evaluate the probability p (p value) of some representative parameter, compared to a level of likelihood that is set before starting the test (\alpha). In this case, we are interested in a level of likelihood \alpha=0.05, which means that if the probability of the parameter is less than 5%, we will reject the hypothesis that this parameter is representing, since it's so unlikely. Of course, the significance level is arbitrary and must be payed attention, according to the particular situation. Therefore, the correct anser is A.

part b. Since we rejected the hypothesis to a 5% significance level, we reject the fact that less than 51% of adults would erase their personal information online if they could. This is equivalent to saying that a percentage of adults equal to or more than 51% would erase their personal information if they could, which is answer C.

Final answer:

We should reject the null hypothesis because the P-value is less than the significance level. This provides statistically significant evidence to support the claim that less than 51% of adults would erase all of their personal information online if they could.

Explanation:

The questions relate to hypothesis testing in Statistics, which is a tool to make inferences about a population parameter based on a sample's observation.

a. In hypothesis testing, a P-value is the probability that the observed data would occur under the null hypothesis. If the P-value is less than or equal to the significance level α, we reject the null hypothesis. In this case, the P-value is 0.0148, which is less than the significance level α=0.05. Therefore, we should Reject the null hypothesis. The correct answer is A.

b. Since we rejected the null hypothesis, we have evidence to support the alternate hypothesis. In this context, the original claim was that less than 51% of adults would erase all of their personal information online if they could. The test result provides statistically significant evidence to support the original claim. Therefore, the correct conclusion is A.

Learn more about Hypothesis Testing here:

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Evaluate −b2−2bx2−x when x=−2.

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression −b²−2bx²−x will be,

−b² − 2bx² − x

= − b² − 2b(-2)² − (-2)

= − b² − 8b + 4

Hence, the value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.

Learn more about Expression:

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The answer...... is 6x+2

1) Uma pessoa saiu de casa indo as compras com R$240,00 na carteira, sendo que gastou no supermercado 2/3 deste valor, em seguida gastou 14 do que havia sobrado na farmácia. Em uma parada no açougue, deixou mais 72 do que lhe havia sobrado. Após estas despesas qual o valor que lhe havia sobrado. Após estas despesas qual o valor restante na carteira dessa pessoa? A)R$ 40,00 B)R$ 30,00 C)R$ 20,00 D)R$ 1000 E)R$ 5,00

Answers

Answer:

The remaining amount in the person's wallet is $30.

Step-by-step explanation:

We are given that a person left the house to go shopping with $240.00 in his wallet, and he spent 2/3 of this amount in the supermarket, then spent 1/4 of what was left in the pharmacy. At a stop at the butcher shop, he left 1/2 than he had left.

And we have to find the remaining money in the wallet after making all these above expenses.

At the starting, the amount of money in the person's wallet = $240

Amount of money spent in the supermarket = (2)/(3) \text{ of } \$240

                                                                     =  (2)/(3) *  240

                                                                     =  2 * 80 = $160

So, now the amount of money left with him = $240 - $160

                                                                    = $80

Amount of money spent in the pharmacy = (1)/(4) \text{ of } \$80

                                                                 =  (1)/(4) *  80 = $20

So, now the amount of money left with him = $80 - $20

                                                                    = $60

Now, Amount of money spent at the butcher shop = (1)/(2) \text{ of } \$60

                                                                               =  (1)/(2) *  60 = $30

So, now the amount of money left with him = $60 - $30

                                                                    = $30

Hence, the amount of money remaining in the person's wallet is $30.

Factor the following expression: 7x + 28x2 + 21x​

Answers

Answer:2

8

2

+

2

8

Step-by-step explanation:

Answer:

84x

Step-by-step explanation:

If you have any questions feel free to ask in the comments.

What is the difference between 2:45am and 12:32pm

Answers

pm is afternoon, am is in the morning

post meridiem is pm an which translates from Latin to after noon, A.m. “ante meridiem” is Latin for “before noon” or “midday”
Hope this helps!!