On Friday, the tent will be on sale for $15 off the price of $219.00
What will Amber's total savings be if she buys the tent on
Friday? Include $0.06 in sales tax on every $1 when
calculating the cost. Show how you found your answer.​

The equivalent expression to [tex](4-7)(2x-1)[/tex]  is [tex]-6x+3[/tex]

First, you multiply the binomials using the multiplying binomial that you are used to. I like to use the box method.

Multiply 4 by 2x and -1      and multiply -7 by 2x and -1

[tex]8x-14x-4+7[/tex]

Then, add like terms.

[tex]-6x+3[/tex]

Answer:

Dustin Earns $14,000 in a year but in the question, we are given the salary of a month

Monthly salary of dustin:

14000 / 12 = $1,166 (approx)

Hence,

The actual monthly salary of Dustin is $1166, excluding the commissions

For a specific month, the salary of Dustin including the commissions is $2,400

Money earned in commissions:

Salary earned  - Actual monthly salary

2400 - 1166 = $1,234

We are given the sales of Dustin for that specific month = $ 18,000

Hence, Dustin Earned a commission of $1,234 for sales of $18,000

Commission rate of Dustin:

Commission Earned * 100 / Sales made

1234 * 100 / 18000

6.856 %

Therefore, the commission rate of Dustin is 6.856%

Answer:

Eric's earning is $7

Step-by-step explanation:

Given

Represent Robert's earnings with R and Eric's with E.

[tex]R = 10\\R = 2E - 4[/tex]

Required

What is the value of E?

Substitute 10 for R in the second equation.

[tex]10 = 2E - 4[/tex]

Solve for 2E

[tex]2E = 10 + 4[/tex]

[tex]2E = 14[/tex]

Solve for E

[tex]E = 14/2[/tex]

[tex]E = 7[/tex]

Eric's earning is $7

Answer:

[tex]\boxed {\tt y=\frac{2}{5}x-2}[/tex]

Step-by-step explanation:

If the slope and y-intercept is known, the equation of a line can be written using slope-intercept form.

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

We know that the slope is 2/5.

The y-intercept is (0,-2). For this form, we only need the y-coordinate, which is -2 in this case. Therefore, we can say the y-intercept is -2.

[tex]m=2/5 \\b= -2 \\[/tex]

Substitute the values into the formula.

[tex]y=2/5x+ (-2)[/tex]

[tex]y=2/5x-2[/tex]

The equation of the line is y=2/5x-2

Answer:

Step-by-step explanation:

false

as A∩B≤A

so P(A∩B)≤P(A)

Answer:

3p

Step-by-step explanation:

4p + 2р - Зр

Combine like terms

6p -3p

3p

Think of 4p as having 4 pizzas

Adding on 2 more pizzas gets you 4p+2p = 6p

So we have 6 pizzas now.

Then we subtract off 3 pizzas

6p-3p = 3p

Leaving us with 3 left when everything is said and done

So,

4p + 2p - 3p = 6p-3p = 3p

Answer: function

Step-by-step explanation: Here were given a relation in

the form of a graph and we're asked if it represents a function.

In this situation, we would use what is called the vertical line test.

In other words, if we can draw a vertical line that passes through more

than one point on the graph, then the relation is not a function.

In this problem, there is no way to draw a vertical

line that passes through more than one point on a graph.

Therefore, this relation must be a function.

Answer:

A score of 61 should be used as the cutoff for the lower 16% and a score of 92 should be used as the cutoff for the upper 2.5%.

Step-by-step explanation:

The data set for the scores of the 30 people are:

S = {79, 79, 71, 51, 65, 71, 65, 90, 60, 62, 78, 76, 88, 69, 65, 91, 72, 56, 61, 83, 61, 78, 68, 66, 52, 79, 88, 74, 71, 69}

Compute the mean and standard deviation:

[tex]\mu=\frac{1}{n}\sum X=\frac{1}{30}\times 2138=71.27\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{30-1}\times 3343.8667}=10.74[/tex]

It is provided that in the past the company issued a rejection letter with no interview to the lower​ 16% taking the test.

That is the probability of no interview is, P (X > x) = 0.16.

That is, P (Z > z) = 0.16.

The z-score corresponding to this probability is, -1.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\x=\mu+z\cdot \sigma\\\\=71.27+(-1\times 10.74)\\\\=60.53\\\\\approx 61[/tex]

It is also provided that the upper​ 2.5% directly to the company without an interview.

That is the probability of no interview is, P (X < x) = 0.025.

That is, P (Z < z) = 0.025.

The z-score corresponding to this probability is, 1.96.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\x=\mu+z\cdot \sigma\\\\=71.27+(1.96\times 10.74)\\\\=92.3204\\\\\approx 92[/tex]

Thus, the complete sentence is:

A score of 61 should be used as the cutoff for the lower 16% and a score of 92 should be used as the cutoff for the upper 2.5%.

Answer:

Step-by-step explanation:

K (-5, 1)

L (0, 1)

M (0, 3)

N (-5, 3)

Answer:

(6,-3) should work but there are infinite answers

Step-by-step explanation:

Answer:

21y

Step-by-step explanation:

you welcome

Answer:

y=-2/3x+18

Step-by-step explanation:

Slope intercept form equals y=mx+b

Step 1 move 2x to the other side.  3y=-2x+18

Step 2 divide by 3.   y=-2/3x+18

Answer:

  y-intercept: (0, 5); slope: 1/4

Step-by-step explanation:

The slope (m) is found from ...

  m = (y2 -y1)/(x2 -x1)

Using the first two points in the table, this is ...

  m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C

__

Then, the point-slope form of the equation of the line can be written as ...

  y -y1 = m(x -x1)

  y -6 = (1/4)(x -4) . . . fill in known values

  y = 1/4x -1 +6 . . . . . add 6

  y = 1/4x +5

Then the value of y when x=0 is ...

  y = 0 +5 = 5

So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.

Answer:

Step-by-step explanation:

x= -8,-11

Answer:

-8, -11

Step-by-step explanation:

Go to the M-a-t-h-w-a-y website

Answer:

(8√2) / 15

Step-by-step explanation:

A curve bounded by the y-axis is represented by in terms of dy;

[tex]\int \:x\:dt[/tex]

When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;

0 = t^2 + 2t --- (1)

Solution(s) => t = 0, t = 2

dy = (1/2 * 1/√t)dt --- (2)

Our solutions (0, 2) are our limits. The area of the curve is in the form [tex]A\:=\:\int _b^a\:f\left(t\right)g'\left(t\right)dt[/tex] , so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....

[tex]A\:=\:\int _2^0\:\left(t^2-2t\right)\left(\frac{1}{2}t^{-\frac{1}{2}}\right)dt\\\\= \int _2^0\:\left(\frac{1}{2}t^{\frac{3}{2}}-t^{\frac{1}{2}}\right)dt\\\\= \left[\frac{t^{\frac{5}{2}}}{5}-\frac{2t^{\frac{3}{2}}}{3}\right]_2^0\\\\= 0\:-\:\left(\frac{4\sqrt{2}}{5}-\frac{4\sqrt{2}}{3}\right)\\\\= \frac{8\sqrt{2}}{15}[/tex]

Your solution is 8√2 / 15

Answer:

3s + 3t

Step-by-step explanation:

To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:

(s + t) * 3 =

3s + 3t

And that is the simplified form for this expression.

Hope this helps :)

Answer:

yesnt

Step-by-step explanation:

Answer: C: Negative

Step-by-step explanation: That's what I assumed you're asking due to the absolute lack of info

Answer:

n = x * 3

Step-by-step explanation:

n is your "number"

Answer:

3 × x

Step-by-step explanation:

"a number" = x

"times" = multiplication = ×

3 × x

Answer:

Step-by-step explanation:

3x - 4y = 13 (1)

2x + y = 5 (2)

——————

3x - 4y = 13

4(2x + y = 5) (2) times 4

——————-

3x - 4y = 13

8x + 4y = 20

——————-

11x = 33

x = 33/11

x = 3

Plug x = 3 in (2):

2(3) + y = 5

6 + y = 5

y = 5-6

y = -1

Thus, x = 3 and y = -1

Answer:

60

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Answer:

y = 3 + 1.5x

Step-by-step explanation:

4y = 12 + 6x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '4'.

y = 3 + 1.5x

Simplifying

y = 3 + 1.5x

Answer:

y = 3/2x + 3

Step-by-step explanation:

Given :

To Do :-

Solution :-

The given equation is ,

⇒ 4y - 6x = 12

⇒ 4y = 6x + 12

⇒ y = ( 6x + 12 )/4

⇒ y = 3/2x + 3

Answer:

Step-by-step explanation:

sales earning commission=130,000-21000=109,000

sales commission=5800-900=4900

rate of commission=4900/109,000 ×100=490/109 %

≈4.495

≈4.50%

Answer:

Scale factor of dilation is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\\\frac{QR}{Q'R'} = \frac{6}{2} \frac{QR}{Q'R'} = 3[/tex]

Cross multiplication gets:

QR = 3 * Q'R'

Q'R' = 1/3 * QR

So it's 1/3

Step-by-step explanation:

-t = 9(t-10)

-t = 9t - 90

90 = 9t + t

90 = 10t

90 ÷ 10 = t

9 = t

Answer:

8 1/8

Step-by-step explanation:

Multiple the first number by the second

Answer:

4 1/8

Step-by-step explanation:

dvdsfdsfdgfdsfdsfdsfdfdfdf a ss

Answer:

The binomial probability distribution is shown below.

Step-by-step explanation:

The probability mass function of X is:

[tex]P(X=x)={n\choose x}p^{x}(1-p)^{n-x};x=0,1,2,3..[/tex]

It is provided that n = 6 and p = 0.25.

Construct a binomial probability distribution with the given parameters as follows:

X                                       P (X = x)

0        [tex]P(X=0)={6\choose 0}(0.25)^{0}(1-0.25)^{6-0}= 0.1780[/tex]

1         [tex]P(X=1)={6\choose 1}(0.25)^{1}(1-0.25)^{6-1}= 0.3560[/tex]

2        [tex]P(X=2)={6\choose 2}(0.25)^{2}(1-0.25)^{6-2}= 0.2966[/tex]

3        [tex]P(X=3)={6\choose 3}(0.25)^{3}(1-0.25)^{6-3}= 0.1318[/tex]

4       [tex]P(X=4)={6\choose 4}(0.25)^{4}(1-0.25)^{6-4}= 0.0330[/tex]

5       [tex]P(X=5)={6\choose 5}(0.25)^{5}(1-0.25)^{6-5}= 0.0044[/tex]

6       [tex]P(X=6)={6\choose 6}(0.25)^{6}(1-0.25)^{6-6}= 0.0002[/tex]

Compute the mean and standard deviation as follows:

[tex]\mu=np=6\times0.25=1.50\\\\\sigma=\sqrt{np(1-p)}=\sqrt{6\times 0.25\times (1-0.25)}=1.0607[/tex]

Binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.

As we know that binomial probability distribution is given by

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

The binomial distribution is a probability distribution that depicts the likelihood that a value will take one of two independent values under a given set of parameters.

Given n=6 & p=0.25

[tex]P(0) = ^6C_0(0.25)^0(1-0.25)^{6-0}[/tex] = 0.1780

[tex]P(1) = ^6C_1(0.25)^1(1-0.25)^{6-1}[/tex]=0.3560

[tex]P(2) = ^6C_2(0.25)^2(1-0.25)^{6-2}[/tex] = 0.2966

[tex]P(0) = ^6C_3(0.25)^3(1-0.25)^{6-3}[/tex] =0.1318

[tex]P(0) = ^6C_4(0.25)^4(1-0.25)^{6-4}[/tex]=0.0330

[tex]P(5) = ^6C_5(0.25)^5(1-0.25)^{6-5}[/tex]=0.0044

[tex]P(6) = ^6C_6(0.25)^6(1-0.25)^{6-6}[/tex]= 0.0002

Mean = np

Mean = 6*0.25

Mean = 1.5

Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]

σ = [tex]\sqrt{6*0.25(1-0.25)}[/tex]

σ = 1.061

Hence, binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.

To get more about binomial distribution visit:

https://brainly.com/question/24756209

Answer:

6 hours

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

the parts cost 100$, so take away 100 from 308.

the answer 208. then divide 208 by 52

then the answer comes as 4.