The two-way table below describes the practice habits of members of the school band and choir.

Practice Habits of School Musicians


Less than
30 Minutes per Day
At Least
30 Minutes per Day
Band Students
38
26
Choir Students
18
12

Which statement best describes the relationship between the two variables?
There is an association because the relative frequencies by row are different.
There is an association because the relative frequencies by row are similar.
There is no association because the relative frequencies by row are different.
There is no association because the relative frequencies by row are similar.

Answer:

Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of annual deductions to bear by Marlene

Required deductions = $15,000

Contribution to cost of health insurance plan per-year = $4800 * 10% = $480

Contribution to cost of life insurance plan per-year = $900 * 20% = $180

Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320

Step 2: Calculation of annual paychecks

Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020

Step 3: Calculation of bimonthly paychecks

Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50

Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Answer:

(-5)

Step-by-step explanation:

(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh

Answer:

The slope is -3/2 and the y-intercept is 7.

Step-by-step explanation:

hope this helps

Answer:

A = The greatest common factor would be 9.

B: 45+63= 9*(5+7)

Step-by-step explanation:

Answer:

b is 45+63=9(5+7)

Step-by-step explanation:

Once you know the GCF, you just need to find what the GCF (9 in this case), times what will get you 45 and 63. So we already know that 9 will be on the outside of the parentheses since it's what we're multiplying by. 9 times 5 is 45, so for the first number in the parentheses you'll put 5, and for the second, 9 times 7 is 63, so the second number in the parentheses is 7. You can check by solving it. 9(5+7). Use the distributive property and first you will do 9 times 5, which is 45, then 9 times 7 which is 63, so you'll get 45+63, which is correct.

Answer:

1 / 2

Step-by-step explanation:

Total # of marbles in the bag = 30

Total # of blue marbles in the bag = 15

Probability of pulling a blue marble = # of blue /  total # of marbles

Probability = 15 / 30

Simplify = 1 / 2

Answer:

Option (D)

Step-by-step explanation:

Standard equation of a quadratic function is,

ax² + bx + c

Comparing this function with the given quadratic function,

f(x) = 2x² - 4x - 3

a = 2, b = -4 and c = -3

By using quadratic formula to get the value of x,

x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

  = [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]

  = [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]

  = [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]

  = [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]

Therefore, Susie made a mistake in step IV.

Option (D) is the answer.

Answer:

YOUR CAMERA IS BAD I CANT SEE ANYTHING

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

Answer:

she can buy 70 ft tape

Step-by-step explanation:

5.6 ÷ 0.07

Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?

Answer:

10 feet

Step-by-step explanation:

The formula for the Perimeter fo a rectangle

= P = 2L + 2W

Where:

L = Length

W = Width

From the question

P = 80 feet

W = 30 feet

Hence:

80 = 2L + 2(30)

80 - 2(30) = 2L

80 - 60 = 2L

20 = 2L

L = 20/2

L = 10 feet

Hence, the length of the fenced area = 10 feet

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

Answer:

theres no picture availible

Step-by-step explanation:

Answer:

8 visits

Step-by-step explanation:

26+8 visits (1 dollar a visit)= 34

Answer:

8

Step-by-step explanation:

Answer:

2 loaves of bread

Step-by-step explanation:

The equation becomes

3b + 18 = 24 (because they said 18 rolls were sold)

you would subtract 18 from both sides to get 3b = 6

divide both sides by 3 and you get b = 2

0.77389068155

EXPLANATION

sin 70 = 0.77389068155

Answer:

The system has infinitely many solutions

Step-by-step explanation:

There are no variables left. And the final equation is correct.

It means the system is going to be correct for any value of variables. So there are infinitely many solutions

Answer:

Step-by-step explanation:

There are two equations in the question

[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]

If we take 2 common from the first Equation it becomes,

[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]

Now we can see that both the Equations are similar which means they would have the same graph.

Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.

We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions

Answer:

:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

#SPJ2

Answers (in order):

I used the Pythagorean Theorem to solve each one:

[tex]h=13[/tex]

[tex]l=9[/tex]

d ≈ 8.0622

l ≈ 6.7082

Hope this helps! :)

Answer:

49 cents per ounce

Step-by-step explanation:

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

[tex]p(t) = -8t + 92[/tex]

We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.

Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes

[tex]0 = -8t + 92[/tex]

[tex]8t = 92[/tex]

Divide both sides by 8

[tex]\frac{8t}{8}=\frac{92}{8}[/tex]

[tex]t=\frac{23}{2}[/tex]

[tex]t = 11.5[/tex] minutes

Answer:

None

Step-by-step explanation:

Answer:

[tex] \frac{0}{1} [/tex]

[tex] \frac{0}{2} [/tex]

[tex] \frac{0}{72} [/tex]

[tex] \frac{0}{-56} [/tex]

[tex] \frac{0}{10} [/tex]

any number as the denominator and 0 as the numerator can be replaced in the place of 0.

Step-by-step explanation:

[tex] \frac{0}{any \: \: integer} = 0[/tex]

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

is 1.3 units from 0.4 on a number line. __is 1.3 units from 0.4

Answer:

180 rolls.

Step-by-step explanation:

0.45x = 81

x = 81/0.45

x = 180

Answer

(2,0) Brainliest please

Step-by-step explanation:

Answer:

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]

Thus, option A is true.

Step-by-step explanation:

Given the expression

[tex]log\left(\frac{1}{2}\right)[/tex]

[tex]=\log _{10}\left(2^{-1}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]

[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]

so the expression becomes

[tex]=-1\cdot \log _{10}\left(2\right)[/tex]

[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]

[tex]=-\log _{10}\left(2\right)[/tex]

substituting the value of log 2 = 0.30103

[tex]\:=-0.30102[/tex]

Thus,

[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]

Therefore, option A is true.

Answer:

-4 - 16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

you just use a calculator lol :)