Write the equations after translating the graph of y = | 1/2 x−2|+3 one unit up

Answer:

Solution,

[tex](5x + 1)(2x - 1)(2x - 3)[/tex]

[tex] = 5x(2x - 1) + 1(2x - 1) \times (2x - 3) \\ = (10 {x}^{2} - 5x + 2x - 1)(2x - 3) \\ = (10 {x}^{2} - 3x - 1)(2 x - 3) \\ = 10 {x}^{2} (2x - 3) - 3x(2 x - 3) - 1(2x - 3) \\ = 20 {x}^{3} - 30 {x}^{2} - 6 {x }^{2} + 9x - 2x + 3 \\ = 20 {x}^{3} - 36 {x}^{2} + 7x + 3[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

Option D - Will not be rejected at the 0.05 level.

Step-by-step explanation:

The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.

Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.

Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.

Thus, looking at the options, we will not reject at 0.05 significance level.

Step-by-step explanation:

To answer this question we must understand what does each percentge mean :

For 71 percent alcohol we have the quantity wich is 15 liter

so :

15 liter⇒ 100 percent

x( the unkhown quantity)⇒ 71 percent

x = (15*71)/100 )= 10.65 liter of alcohol

so we want 10.65 liter of alcohol

here is a way :

lat's take 10 L of 80 percent alcohol and 4liters of  the other one

10*0.8+4*0.65 = 10.6

we just need 0.05 liter of alcohol

add 0.0625 L of the 80 percent liter alcohol to get 10.65

Answer:

a) 77.3-73/10.7= 0.40187

b) 62.9-66.8/10.8= -0.36111

c) Kylie did relatively better

Step-by-step explanation:

Answer:

You found the area of each side of the rectangular prism, subtracting the missing area from the front and back sides of the prism. Then you added together the area of all 6 faces to find the total outer surface area.

I hope this helps :)

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

This is a function because all of the numbers have a partner, and none of them have more than one.

                                    Example of Not a Function

Function                                Not a Function

-4 to 5                                       -4 to 5                             <

9 to 7                                       -4 to 3                              <

13 to 3                                       13 to 3                              ^

-7 to 5                                        9 to 7                               ^

                                                 -7 to 5                               ^

                                           Not a Function because of this

Answer:

[tex] \mu = 23.33, \sigma =6.13[/tex]

And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:

[tex] z=\frac{X -\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{33.44 -23.33}{6.13}= 1.649[/tex]

We know that the proportion of area beyond the Z score associated with this age is  .05 so then the percentile would be: 95

Step-by-step explanation:

For this case we have the following parameters:

[tex] \mu = 23.33, \sigma =6.13[/tex]

And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:

[tex] z=\frac{X -\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{33.44 -23.33}{6.13}= 1.649[/tex]

We know that the proportion of area beyond the Z score associated with this age is  .05 so then the percentile would be: 95

Answer:

b. null hypothesis cannot be rejected.

Step-by-step explanation:

At the 5% level of significance, the conclusion of the test is that the

The test statistic is 2 and the critical value is 7.815. Since the test statistic is less than the critical value, we can not reject the null hypothesis.

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

[tex](1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)[/tex]

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

[tex](5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)[/tex]

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  [tex]=\dfrac{20}{36}[/tex]

The probability distribution of this event is given as follows.

[tex]\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|[/tex]

First, we determine the expected Value of this event.

Expected Value

[tex]=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67[/tex]

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  [tex]=\dfrac{20}{36}[/tex]

If the game is played 100 times

Number of times expected to win

[tex]=\dfrac{20}{36} \times 100\\=56$ times[/tex]

Therefore, number of times expected to loose

= 100-56

=44 times

Answer:

3y = 9x

Y= 3x

-3x+y = 8

Y= 3x +8

Step-by-step explanation:

Y= 3x+5

To determine the Line parallel to the above line equation, we have to recall the principle of parallel line .

From principal of parallel line.

M= m'

Means the gradient of the both equation will be equal.

From the above equation.

The gradient= 3

The gradient is the coefficient of x

Comparing to the options giving

Let's look for the options with the coefficient of x = 3

3y = 9x

Y= 3x........ number 1

-3x+y = 8

Y= 3x+8 ... number 2

Other equation will not give is a coefficient of 3

Answer:

-3x + y = 8

and

3y = 9x

Answer:

a half is 1/2 = 0.5

10 perecent ⇒ (0.5*10)/100= 0.05

the percentage of 19⇒ (19*100)/20 = 95 percent

What is 10% of a half?

= 0.05

10% of 0.5 is 0.05.

Divide 0.5 by 10 and move the decimal point one place to the left.

---------------------------

What percentage of 20 is 19?

= 95%

Convert the fraction

Steps:

19/20 =

19 divided by 20 =

0.95

0.95 x 100/100 =

0.95 x 100% =

(0.95 x 100)% =

95%

Answer:

Step-by-step explanation:

A graphing calculator can perform logarithmic regression, as can a spreadsheet. The least-squares best fit log curve is about ...

  y ≈ 33.7·ln(x) -45.9

The value of x estimated to make y = 5.2 is about 4.6.

Answer:

since order of songs matter in a concert as well, every scenario of the 5 songs being played in different order will be a different scenario.

so, we will permute 5 from 9.

9!/4!

15120 different scenarios

Answer:

Length = 29 m

Width = 29 m

Step-by-step explanation:

Let x and y be the length and width of the rectangle, respectively.

The area and perimeter are given by:

[tex]A=xy\\p=116=2x+2y\\y=58-x[/tex]

Rewriting the area as a function of x:

[tex]A(x) = x(58-x)\\A(x) = 58x-x^2[/tex]

The value of x for which the derivate of the area function is zero, is the length that maximizes the area:

[tex]A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m[/tex]

The value of y is:

[tex]y = 58-29\\y=29\ m[/tex]

Length = 29 m

Width = 29 m

Answer:

n = 55/8

Step-by-step explanation:

You can solve it by cross multiplying. Where you multiply the denominator of the fraction on the left side with the numerator on the right side, and vice versa.

11/n = 8/5

n x 8 = 11 x 5

8n = 55

n = 55/8

(or 6.875)

Answer:

[tex]\boxed{\pink{n = 7 \frac{3}{8} }}[/tex]

Step-by-step explanation:

[tex] \frac{11}{n} = \frac{8}{5} \\ [/tex]

Use cross multiplication

[tex]11 \times 5 = 8 \times n \\ 55 = 8n \\ \frac{55}{8} = \frac{8n}{8} \\ n = 7 \frac{3}{8} [/tex]

Answer:

28

Step-by-step explanation:

42/15=x/10

*15         *15

42=15x/10

*10     *10

42*10=15x

420=15x

:15     :15

420/15=x

x=28

Answer:

m = rise /run = (y2-y1)/(x2-x1)

Step-by-step explanation:

In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run.

Answer: Run is the horizontal change between two points on a line.

Step-by-step explanation:

Answer:

The number of hours Jackie worked  = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y  per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

Hey there! I'm happy to help!

First, let's see what the coordinates of each of these points are by counting the squares.

Vertex A is at (-3,-4).

Vertex B is at (1,-3).

Vertex C is at (1,1).

Whenever you rotate a figure 180° about the origin, you find the negative version of each number in the ordered pair. Basically (x,y) turns into (-x,-y) when you rotate a figure 180°.

Let's do this below!

A: (-3,-4)⇒(3,4)

B: (1,-3)⇒(-1,3)

C: (1,1)⇒(-1,-1)

These new coordinates match with the third option: A'(3,4), B'(-1,3), C'(-1,-1). Now you can find the coordinates of translated points!

I hope that this helps! Have a wonderful day!

Answer:

The degrees of freedom are given by:

[tex] df =n-1= 15-1=14[/tex]

And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:

[tex] \chi^2 = 7.790[/tex]

And then the best answer would be:

c. 7.790

Step-by-step explanation:

For this case we know that we are using a one tailed (lower tail) critical value using a significance level of [tex]\alpha=0.1[/tex] and for this case we know that the ample size is n=15. The degrees of freedom are given by:

[tex] df =n-1= 15-1=14[/tex]

And if we look in the chi square distribution with 14 degrees of freedom and if we find a quantile who accumulates 0.1 of the area in the left we got:

[tex] \chi^2 = 7.790[/tex]

And then the best answer would be:

c. 7.790

Answer:

Option D is correct.

The 31% would be considered an example of inferential statistics.

Step-by-step explanation:

Complete Question

Based on past experience, it is predicted that 31% of registered voters in Oklahoma will vote in the next primary. The 31% would be considered an example of:

A) Qualitative data

B) Descriptive statistics

C) A sample

D) Inferential statistics

Solution

Taking the options one at a time.

- Qualitative data is a dataset where the members of the dataset are grouped or represented according to some categorical condition or property. It is also called categorical data. It is normally non-numerical in nature. This is obviously not the correct answer.

- Descriptive Statistics are brief or summary statistics that summarize a given data set. Descriptive statistics are broken down into measures of central tendency and measures of dispersion or variability (the spread of the distribution about the mean). The 31% is a prediction using past datasets, it isn't a descriptive statistic to summarize all that is in the current dataset.

- A sample is a dataset that consists of variables picked from the population distribution. It is a smaller set of variables usually extracted from the population. This is also not the answer.

Inferential Statistics uses results from the past datasets or dataset using some other condition to obtain a predicted statistic for a current dataset or the dataset given current conditions.

From the question, the results from the old dataset (based on past experiences), is used to predict some statistic (percentage of registered voters in Oklahoma who will vote in the next primary). It is evident that this is the answer; 31% prediction for registered voters in Oklahoma will vote in the next primary, was made using past experience. Inferential Statistic.

Hope this Helps!!!

Answer:

A) $21,000

Step-by-step explanation:

Percentage of down payment that ABC bank requires to be paid = 20%

Price of the house = $10500

Then

Amount of down payment

that needs to be made = (20/100) * 105000

                                    = 21000 dollars

The answer is A) $21,000

20% is 1/5

1/5 of 105,000 is 21,000

Answer:

Probability= 0.199995904

Step-by-step explanation:

Probabilty of defective p = 0.2

Probability of non defective q = 1-0.2

= 0.8

Probability that 2 or more will be defective out of ten = probability of all defective - probability of 1 non defective

Probability of1 non defective

= 10C1(0.8)¹(0.2)^9

= 10*0.8*5.12*10^-7

= 4.096*10^-6

= 0.000004096

Probability of two or more defective

= 0.2-0.000004096

= 0.199995904

Answer:

[tex] \boxed{\sf Radius \ of \ circle = 18 \ ft} [/tex]

Given:

Circumference of a circle = 36π feet

To Find:

Length of the radius of circle (r).

Step-by-step explanation:

[tex] \sf \implies Circumference \: of \: a \: circle =2\pi r \\ \\ \sf \implies 36 \cancel{\pi} = 2 \cancel{\pi }r \\ \\ \sf \implies \frac{36}{2} = \frac{ \cancel{2}r}{ \cancel{2}} \\ \\ \sf \implies \frac{36}{2} = r \\ \\ \sf \implies r = \frac{36}{2} \\ \\ \sf \implies r = \frac{18 \times \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies r = 18 \: ft[/tex]

Answer:

A. is your answer

Answer:

y = -1/7x - 23/7

Step-by-step explanation:

Step 1: Find slope m

m = (-4 + 3)/(5 + 2)

m = -1/7

y = -1/7x + b

Step 2: Find b

-3 = -1/7(-2) + b

-3 = 2/7 + b

b = -23/7

Step 3: Rewrite equation

y = -1/7x - 23/7

Answer:

Correct!

Step-by-step explanation:

-5(x+8)=-25

x+8=5

x=-3

Answer:

here, -5(x+8)=-25

or, -5x +(-40)= -25

or, -5x=-25+40

or, x= 15/-5

therefore the value of x is -3....ans..

hope u understood..

Answer:

Hey there!

15/k, when k=3

15/3=5

Answer:

5

Step-by-step explanation:

its a simple as 15/3 = 5

have fun

Answer:

B. g(x) = (x-2)^2 +1

Step-by-step explanation:

When you see this type of equation your get the variables H and K in a quadratic equation. In this case the (x-2)^2 +1  is your H. The (x-2)^2 +1 is your K.

For the H you always do the opposite so in this case instead of going to the left 2 times you go to the right 2 times (affects your x)

For the K you go up or down which in this case you go up one (affects your y)

And that's how you got your (2,1) as the center of the parabola

-Hope this helps :)