Can u help me please

nasty-shy [4]

(11k^4 - 4m) + (-2k^4 - 15m)
Add -2k^4 to 11k^4. This would be the same as subtracting 2k^4 from 11k^4
9k^4 - 4m - 15m
Add -15m to -4m. This would be the same as subtracting 15m from -4m
Final Answer: 9k^4 - 19m

Word Form: Nine times the variable k to the forth power minus nineteen times the variable m.

3 0

2 years ago

A random sample is selected from a normally distributed population. The following sample statistics are obtained: n = 20, = 30,

Flura [38]

Answer:

b) The margin of error is approximately 3.24

e) The critical value is 1.7921.

Step-by-step explanation:

Step(i):-

Given sample size 'n' =20

Given sample standard deviation 's' = 10

 Margin of error 

The margin of error is determined by

 $M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }$ 

The level of significance ∝ =0.95

The degrees of freedom = n-1 = 20-1=19

t₀.₉₅ = 1.729

$M.E = \frac{1.729 X10 }{\sqrt{20} }$

Margin of error = 3.866

Step(ii):-

 Margin of error 

The margin of error is determined by

 $M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }$ 

Given another sample size n =30

The level of significance ∝ =0.95

The degrees of freedom = n-1 = 30-1=29

t₀.₉₅ = 1.70

$M.E = \frac{1.7021 X10 }{\sqrt{30} } =3.24$

Margin of error = 3.24

5 0

3 years ago

Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal

tangare [24]

Chuck has a gross pay of $815.70. His gross pay will be reduced by:

Federal tax of $56;
Social Security tax that is 6.2% of his gross pay;
Medicare tax that is 1.45% of his gross pay;
State tax that is 19% of his federal tax.

Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

$\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.$

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

$\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.$

3. Federal tax of $56 - 100%,

State tax $z - 19%.

Then

$\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.$

4. Chuck’s gross pay will be reduced by

$\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.$

3 0

3 years ago

Read 2 more answers

The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new busines

topjm [15]

Answer:

The question is incomplete, here is the complete question.

Year Real GDP per Capita

1985 6,000

1986 6,300

1987 6,700

1988 7,200

1989 7,850

1990 8,250

1991 8,450

1992 8,550

1993 8,575

1994 8,510

1995 8,370

1996 8,100

1997 7,950

1998 7,925

1999 7,960

2000 8,035

2001 8,155

The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new business cycle began in 1985, how long was this cycle? In which year did the peak occur? The trough occurred in which year? How long was the expansion? How long was the recession?

Step-by-step explanation:

a.If a new business cycle began in 1985, how long was this cycle?

The business cycle describes the rise and fall in production output of goods and services in an economy. In the data given above, a business cycle is complete in the year 1998. If the cycle started in 1985 then it was 14 years long.

b. In which year did the peak occur? The trough occurred in which year?

In the data given above, the peak occured in year 1993 (GDP per capita of 8,575) and trough occurred in the year 1998 (GDP per capita of 7,925).

c. How long was the expansion? How long was the recession?

Expansion was 9 years long (1985-1993) and recession was of 5 years (1994-1998).

7 0

3 years ago

Determine if 1.7 is a solution to r- 2.4 < 5

notsponge [240]

esuerate lograras loysf

7 0

3 years ago