GIVING BRAINLIEST PLEASE DUE TODAY

Find a function g(x)=ax+b whose graph can be obtained by translating the graph of f(x) =3-x down 2 units and to the right 3 unit

Amanda [17]

F(x)= 3-2-(x-3)= -x-2

6 0

3 years ago

If A is a 2x2 matrix and B is a 2x1 matrix, what is the dimension of AB?

Mice21 [21]

Answer:

2x2 matrix

Step-by-step explanation:

Given

Dimension of matrices A = 2x2 matrix

Dimension of matrices B = 2x1 matrix

The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.

After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix

6 0

3 years ago

An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribu

Yuliya22 [10]

Answer:

$300 was deducted from tax. The tax rate is 26.1%

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.

There was blank deducted for taxes. The tax rate is blank

Solution:

Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.

Gross pay = $1200

Taxable income = Gross pay - 401(k) contribution

Taxable income = $1200 - $50 = $1150

Net pay = $850

Tax = Taxable income - Net pay

Tax = $1150 - $850

Tax = $300

Tax rate = (Tax / taxable income) * 100%

Tax rate = ($300 / $1150) * 100% = 26.1%

3 0

3 years ago

Last year it was found that on average it took students 20 minutes to fill out the forms required for graduation. This year the

Darina [25.2K]

Answer:

$t=\frac{18.5-20}{\frac{5.2}{\sqrt{22}}}=-1.35$

$p_v =P(t_{21}$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the time is not significantly less than 20 minutes at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=18.5$ represent the sample mean

$s=5.2$ represent the standard deviation for the sample

$n=22$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean for the new forms take less time to complete than the older forms, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$t=\frac{18.5-20}{\frac{5.2}{\sqrt{22}}}=-1.35$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=22-1=21$

What do you conclude?

Compute the p-value

Since is a one left tailed test the p value would be:

$p_v =P(t_{21}$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the time is not significantly less than 20 minutes at 5% of significance.

7 0

3 years ago

Norton measured the mass of his luggage. His luggage mass was 21,530 grams. The airline will only allow luggage that has a mass

aliina [53]

Answer:

Yes

Step-by-step explanation:

One Kilogram is 1000 grams.

21,530/1000=21.53

21.53<23

3 0

3 years ago