The ratio of boys to girls in homeroom is 2:3. If there<br> are 8 boys, how many girls are there?

For what value of x is line m parallel to line n?

slavikrds [6]

For M and N to be parallel, the lower given degree on line M must be equal to the lower equation on line M.

3x +5 = 65

Subtract 5 from each side:

3x=60

Divide both sides by 3:

x = 60 / 3

x = 20

4 0

3 years ago

Please help me use the attachment to see the question

Zinaida [17]

$(m^{2} -m+3)+(m-1)$
$= m^{2} -m+3+m-1$ . . . . . . . . (opening the brackets)
$= m^{2} -m+m+3-1$ . . . . . . . . (collecting like terms)
$= m^{2} +2$

3 0

3 years ago

Ray needs to mail his Christmas cards and packages and wants to keep the mailing costs to no more than $400 . The number of card

jeka94

The anwser for your question is 120

5 0

3 years ago

Read 2 more answers

How do you determine if a relation is quadratic by calculation differences, analyzing a graph, examining the degree in an equati

Kryger [21]

1) We can determine by the table of values whether a function is a quadratic one by considering this example:

x | y 1st difference 2nd difference

0 0 3 -0 = 3 7-3 = 4

1 3 10 -3 = 7 11 -7 = 4

2 10 21 -10 =11 15 -11 = 4

3 21 36-21 = 15 19-5 = 4

4 36 55-36= 19

5 55

2) Let's subtract the values of y this way:

3 -0 = 3

10 -3 = 7

21 -10 = 11

36 -21 = 15

55 -36 = 19

Now let's subtract the differences we've just found:

7 -3 = 4

11-7 = 4

15-11 = 4

19-15 = 4

So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.

3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2

4 0

1 year ago

A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years a

lesya [120]

Answer:

Part A:

The null and alternative hypothesis are:

$H_0: \pi=0.5\\\\H_1: \pi\neq 0.5$

Part B:

- A Type I error is when the null hypothesis is rejected although it is true. In this case, it would mean that we conclude that the hiring process is discriminatory, when in reality it is a random result and the process is not discriminatory.

- A Type II error is when the null hypothesis fails to be rejected although it is false. In this case, the hiring process is discriminatory, but statistically the result is not significant enough to prove that.

Part C:

A reduction in the significance level causes a reduction in the power of the test.

Part D:

The power of the test is increased with a larger sample.

Step-by-step explanation:

We have a restaurant with hire a proprotion of 15 % of people in the age ragne of 30-50 years. The expected proportion, according to the applicants, is 50%.

The test will tell us if the actual 15% is a result of a discriminatory practice or a random result.

Part A:

The null and alternative hypothesis are:

$H_0: \pi=0.5\\\\H_1: \pi\neq 0.5$

Part B:

- A Type I error is when the null hypothesis is rejected although it is true. In this case, it would mean that we conclude that the hiring process is discriminatory, when in reality it is a random result and the process is not discriminatory.

- A Type II error is when the null hypothesis fails to be rejected although it is false. In this case, the hiring process is discriminatory, but statistically the result is not significant enough to prove that.

Part C:

The power of an hypothesis test is the probability that the test rejects the null hypothesis (H_0) when a specific alternative hypothesis (H_1) is true.

If the significance level is reduced (from 5% to 1%), the rejection region is reduced, so the probability of rejecting the null hypothesis is also reduced.

Then, a reduction in the significance level causes a reduction in the power of the test.

Part D:

A bigger sample size gives robustness to the sample statistic. Then, if the alternative hypothesis is true, the probabilities of detecting the effect are increased with increased sample size.

Then, the power of the test is increased with a larger sample.

3 0

3 years ago

The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there?