Answer:
[tex]\huge\boxed{y=\bigg|\dfrac{1}{2}x-2\bigg|+4}[/tex]
Step-by-step explanation:
f(x) + n - translation n units up
f(x) - n - translation n units down
f(x + n) - translation n units to the left
f(x - n) - translation n units to the right
We have
[tex]y=\bigg|\dfrac{1}{2}x-2\bigg|+3\to f(x)=\bigg|\dfrac{1}{2}x-2\bigg|+3[/tex]
translation 1 unit up (f(x) + 1)
[tex]f(x)+1=\bigg(\bigg|\dfrac{1}{2}x-2\bigg|+3\bigg)+1=\bigg|\dfrac{1}{2}x-2\bigg|+3+1\\\\=\bigg|\dfrac{1}{2}x-2\bigg|+4[/tex]
Answer:
[1/2x-2]+4
Step-by-step explanation:
add one to the end
If a hypothesis is not rejected at the 0.10 level of significance, it: a. may be rejected at the 0.05 level. b. must be rejected at the 0.025 level. c. must be rejected at the 0.05 level. d. will not be rejected at the 0.05 level.
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.
i am stuck on this please help!
Answer:
[tex]20 {x}^{3} - 36 {x}^{2} + 7x + 3[/tex]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...
will give brainliest Evaluate 15/k when k is 3
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
ABC bank requires a 20% down payment on all its home loans. if the house is priced at $105,000, what is the amount of the down payment required by the bank?
A) $21,000
B) $210,000
C) $14,500
D) $18,000
correct answer is A) $21,000
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
7. The mean age at first marriage for respondents in a survey is 23.33,
with a standard deviation of 6.13. For an age at first marriage of 33.44,
the proportion of area beyond the Z score associated with this age is
.05. What is the percentile rank for this score?
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
11/n = 8/5 solve for n
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]
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:
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!!!
Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned $2 less per hour. How many hours did Jackie work?
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
The graphs below are the same shape what is the equation of the blue graph
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 :)
If -5(x+8) =-25, then x=-3
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..
The circumference of a circle is 36 x feet. What is the length of the radius of this circle?
O 9 ft
18 ft
0 36 ft
072 ft
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]
HELP ASAP! Consider the linear function below here. (The photo)
Find the slope of each of the functions and decide which has the steeper one.
Answer:
A. is your answer
Determine the logarithmic regression of the data below using either a calculator or spreadsheet program. Then, estimate the x−value when the y−value is 5.2. Round your answer to one decimal place. (4.7,10.7),(7.8,20.6),(10.5,30.2),(15.6,41),(20.8,56.1),(22,65.1). Please help right away! Thank you so much!
Answer:
y ≈ 33.7·ln(x) -45.94.6Step-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.
WILL GIVE BRAINLIEST Explain how you found the outer surface area of the rectangular prism with a hole through it. (Writing Prompt)
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:
Please help me in this
Answer:
the first question:a half is 1/2 = 0.5
10 perecent ⇒ (0.5*10)/100= 0.05
the second question :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%
select the equations of the lines that are parallel to the line whose equation is y = 3x + 5
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
I the horizontal change between two points on a line.
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:
A machine produces parts of which 0.2% are defective. If a random sample of ten parts produced by this machine contains two or more defectives, the machine is shut down for repairs. Find the probability that the machine will be shut down for repairs based on this sampling plan.
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
The problem is: On a Map, 3 inches represents 40 miles, How many inches represents 480 miles?
A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections,
how many ways can he arrange his program?
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
HELP ASAP WILL MARK BRAINIEST IF YOU ARE RIGHT !Which of the following represents a function?
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
Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters
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
You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 At the 5% level of significance, the conclusion of the test is that the a. data does not follow a normal distribution. b. null hypothesis cannot be rejected. c. sample data has no probability distribution. d. sample data is incorrect.
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.
What is the value of x? Enter your answer in the box. units
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
Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be to find the amount of money you can expect to win or lose if you play this game 100 times. How many times would you win? how many times would you lose?
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
The chi-square value for a one-tailed (lower tail) test when the level of significance is .1 and the sample size is 15 is a. 23.685. b. 6.571. c. 7.790. d. 21.064.
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
Find the coordinates of the vertices of the figure after a rotation of 180°.
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!
John wants to make 15 L of a 71% alcohol
solution by mixing together a 80% alcohol
solution and a 65% alcohol solution. How
much of each solution must he use?
Step-by-step explanation:
To answer this question we must understand what does each percentge mean :
80 percent alcohol mrans that in one liter we have 0.8 l of alcohol and 0.2 liter of water for example 65 percent ⇒0.65 liter of alcohol and 0.35 liter of waterFor 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
Kylie and miranda began arguing about who did better on their tests, but they couln't decide who did better given that they took different tests, kylie took a test in Art History and earned a 77.3, and Tan took a test in English and earned a 62.9. Use the fact that all the students' test grades in the Art History class had a mean of 73 and a standard deviation of 10.7, and all the students' test grades in English had a mean of 66.8 and a standard deviation of 10.8 to answer the following questions.
a) Calculate the Z-score for Isaac's test grade.
b) Calculate the 2-score for lan's test grade.
c) Which person did relatively better?
A. Kylie
B. miranda
C. They did equally well.
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:
Write the slope-intercept form of the equation that passes through the point (1,5) and is perpendicular to the line y =-x + 3
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