Solve used the basic percent equation 10% of 600 is what ??? Remember Percent×base=amount

Answers

Answer 1

Answer: Your answer is 60 because you multiply 600 with .10 and get 60.00

Answer 2

Answer: 10%=0.1
0.1×600=60
10% of 60 is 60

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Amanda has been employed at a company for 37 years. The company is 24 years older than Amanda. The sum of Amanda age and the company’s age is 121 years. How old was Amanda when she started her job?
A publisher reports that 42%42% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 250250 found that 35%35% of the readers owned a particular make of car. Find the value of the test statistic. Round your answer to two decimal places.

Consider the matrix shown below:

Answers

Answer:

Step-by-step explanation:

P^T is transpote matrix. So the rows of matrix P you write like columns in P^T.

So we have first row: 2, 5, it will be firsl column

2nd row: 8,1 will be 2nd column.

It is matrix:

2 8

5 1

This is matrix a)

According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large company plans a lunch reception for its 500 employees. Assume that employees are independent. Let the random variable X be the number of company employees who have a food allergy. (a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements?
(b) What are the expected value and standard deviation of X (i.e., of the population)?
(c) What is the probability that none of the 500 employees has a food allergy?

Answers

Answer:

a) The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

In this problem, for each person, either they are allergic to some kind of food, or they are not. The probability of a person being allergic is independent of any other people. So this situations meets all these requirements.

b) The expected value is 30 and the standard deviation is 5.31.

c) Close to 0% probability that none of the 500 employees has a food allergy

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have food allergy, or they do not. The probability of an adult having allergy is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

In which $C_(n,x)$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$√(V(X)) = √(np(1-p))$

6% of American adults have a food allergy

This means that $p = 0.06$

500 employees.

This means that $n = 500$

(a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements?

The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

(b) What are the expected value and standard deviation of X (i.e., of the population)?

$E(X) = np = 500*0.06 = 30$

$√(V(X)) = √(np(1-p)) = √(500*0.06*0.94) = 5.31$

The expected value is 30 and the standard deviation is 5.31.

(c) What is the probability that none of the 500 employees has a food allergy?

This is P(X = 0).

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

$P(X = 0) = C_(500,0).(0.06)^(0).(0.94)^(500) \cong 0$

Close to 0% probability that none of the 500 employees has a food allergy

How many grains of sand are there in 6300kg of sand? Give your answer in standard from

Answers

Answer:

5 g

Step-by-step explanation:

Answer:

16,191,000,000

Step-by-step explanation:

1 kg= 2.57 millions grains of sand

2.57 million*6300= 16,191,000,000

D(n)=8−6(n−1) What’s the 6th term

Answers

D(n)=8−6(n−1). The 6th term is found by subbing 6 for n in this formula:

D(6)=8−6(6−1) = 8 - 6(5) = 8 - 30 = -22 (answer)

On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans and find the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a test of the null hypothesis that the population average is 10? Can you reject the null at the 5% significance level?

Answers

Answer:

The test statistic is -2.5

Yes, I can reject the null hypothesis at 5% significance level.

Step-by-step explanation:

Null hypothesis: The average number of sardines in a can is 9.75

Alternate hypothesis: The average number of sardines in a can is greater than 9.75

Test statistic (z) = (sample mean - population mean) ÷ sd/√n

sample mean = 9.75

population mean = 10

sd = 1

n = 100

z = (9.75 - 10) ÷ 1/√100 = -0.25 ÷ 0.1 = -2.5

The test is a one-tailed test. At 5% significance level, the critical value is 1.645

Conclusion:

Reject the null hypothesis because the test statistic -2.5 is less than the critical value 1.645

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -1/2f(x)?

Answers

Answer:

For negative sign , the graph reflects over x -axis and for 1/2 there will be a vertical compression

Step-by-step explanation:

Parent function is f(x)= x

We need to find the effect of the graph when f(x) is replaced with -1/2f(x)

When negative sign is multiplied outside f(x) like -f(x), then there will be a reflection over x-axis

When negative sign is multiplied inside f(x) like f(-x) then there will be a reflection over y-axis

When a number is multiplied outside f(x) then there will be a vertical stretch or compression

Here 1/2 is multiplied outside f(x). $(1)/(2)$ is less than 1 so there will be a vertical compression

For negative sign , the graph reflects over x -axis and for 1/2 there will be a vertical compression

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What’s the answer and how did you get to it