Which value of q makes -15 - (-9) = q a true sentence? *

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:

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:

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:

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:

(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:

Step-by-step explanation:

false

as A∩B≤A

so P(A∩B)≤P(A)

Answer:

60

Step-by-step explanation:

Answer:

count all of the weight on the right side, subtract 4 pounds from both sides, and divide it by 2.

Step-by-step explanation:

Answer:

1) x= -3

2) x=-4

Step-by-step explanation:

The first equation is :

-3x+8=17

solving for x

-3x=17-8 ------------by collecting like terms

-3x=9

Divide both sides by -3

-3x/-3=9/-3

x= -3

In the second equation

1+4x= -15

solving for x

4x=-15-1

4x = -16

x=-16/4

x= -4

Answer:

21y

Step-by-step explanation:

you welcome

Answer:

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

Step-by-step explanation:

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.

Answer:

It would be the green chart

Step-by-step explanation:

Answer:

Green Chart

Step-by-step explanation:

Answer:

measure 3 equals 121 degrees

Step-by-step explanation:

Measure 2 and 3 make a 180 angle and you subtract 59 from 180 and you get 121.

Answer:

38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Answer:

meeeee

Step-by-step explanation:

Answer:

vegeta is literally the best character

Step-by-step explanation:

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]

Step-by-step explanation:

-t = 9(t-10)

-t = 9t - 90

90 = 9t + t

90 = 10t

90 ÷ 10 = t

9 = t

Answer: C: Negative

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

Answer:

Step-by-step explanation:

K (-5, 1)

L (0, 1)

M (0, 3)

N (-5, 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

Answer:

the second one 253

Step-by-step explanation:

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:

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:

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:

x= -8,-11

Answer:

-8, -11

Step-by-step explanation:

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