Answers
Answer:
D
Step-by-step explanation:
Hello There!
In order for a relationship to be proportional it must follow these requirements:
It must have a constant rate of changeIt must go through the origin (0,0)The equation is put in y = kx form (where k = slope)Knowing this let us now look at each relationship
The first one indeed has a constant rate of change
However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship
For B:
B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin
The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)
in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional
For C:
Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship
For D:
Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)
The relation fulfills each requirement therefore D is your answer
Related Questions
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
Its only 5 point but ok
its $3.44 per quart
Step-by-step explanation:
What is the radius of a circle that has an approximate circumference of 81.64 meters? (Use 3.14 for ).
r =
m
Answers
2r(3.14) = 81.64
6.28r = 81.64
r = 13
12.99m
Answer:
r=13
Step-by-step explanation:
81.64/3.14=26(diameter)
26/2=13(radius)
1. If y varies inversely as x and y = 2 when x = 10, find y when x = 5.
2. If y varies directly as z and inversely as x and y = 10 and z = 5 when x = 12.5, find z when y = 37.5 and x = 2.
Answers
Answer:
1.45
Step-by-step explanation:
I don't really know if this is right
Ms. Monet gave 2 1/2 cups of red paint to each of her 20 students. How many quarts
of red paint did she give out?
Answers
Explanation:
It takes 4 cups to make a quart so 2.5 would equal 0.625 quart
Then you would take 0.625 x 20 which would then equal 12.5 Quarts
The equation has a solution of x = 5.
What is the value of k?
k =
Answers
Answer:
K= -11
Step-by-step explanation:
What is the probability of flipping heads and rolling a six?
Answers
Dory can run 3.25 miles every hour. How long will it take her to run a race that is
16 1/4 miles long?
Answers
Answer:
it would take her 5 hours
Step-by-step explanation:
16 1/2 divided by 3.25 is 5
Brainliest plz
12. Draw an acute scalene triangle. Describe
the angles and sides of the triangle.
show
work.
Answers
https://mathbitsnotebook.com/Geometry/SegmentsAnglesTriangles/SATTriangleTypes.html
Mark stated that the slope of the line that passes through these two points (1, -19) and (-2, -7) is -¼. Is Mark correct? Explain. (show your work).
Answers
9514 1404 393
Answer:
no
Step-by-step explanation:
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
We can use the values ...
(x1, y1) = (1, -19)
(x2, y2) = (-2, -7)
Putting these into the formula gives ...
m = (-7 -(-19))/(-2 -1) = 12/-3 = -4
The slope is -4, not -1/4. Mark is incorrect.
Which statement is true about angle DCB and angle ACF
Answers
Answer: they are complementary but not necessarily congruent
Step-by-step explanation:
Can you guys help me real quick please
Answers
Answer: I believe the answer is 23k.
Step-by-step explanation:
3/8+1/8=
Find the sum or difference
Answers
Answer:
Sum is 4/8
Difference is 2/8
Step-by-step explanation:
Sum is adding so add the numerators and denominators would be the same
Difference is subtraction
The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. The standard deviation of active concentration is known to be 3 grams per liter regardless of the catalyst type. Ten observations on concentration are taken with each catalyst, and the data follow:
Catalyst 1: 57.9, 66.2, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0
Catalyst 2: 66.4, 71.7, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8.
a. Find a 95% confidence interval on the difference in mean active concentrations for the two catalysts. Find the P-value.
b. Is there any evidence to indicate that the mean active concentrations depend on the choice of catalyst? Base your answer on the results of part (a).
c. Suppose that the true mean difference in active concentration is 5 grams per liter. What is the power of the test to detect this difference if α = 0.05?
d. If this difference of 5 grams per liter is really important, do you consider the sample sizes used by the experimenter to be adequate? Does the assumption of normality seem reasonable for both samples?
Answers
Answer:
a. The 95% C.I. is approximately -5.83 < μ₁ - μ₂ < -0.57
b. Yes
c. The power of the test is 0.03836
d. The sample size can be considered adequate
Step-by-step explanation:
a. The given data in the study
Catalyst 1: 57.9, 66.2, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0
Catalyst 2: 66.4 , 71.7, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8
Using the Average, Standard Deviation function from Microsoft Excel, we have;
The mean for Catalyst 1, [tex]\overline x_1[/tex] = 65.22
The standard deviation for catalyst 1, σ₁ = 3.444416
The mean for Catalyst 2, [tex]\overline x_2[/tex] = 68.42
The standard deviation for catalyst 2, σ₂ = 2.22401
The 95% confidence interval on the difference in mean is given as follows;
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm z_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}} + \dfrac{\sigma_{2}^{2}}{n_{2}}}[/tex]
The critical-z for a 95% confidence interval = 1.96
Therefore, we have;
[tex]\left (65.22-68.42 \right ) \pm 1.96 \times \sqrt{\dfrac{3^{2}}{10} + \dfrac{3^{2}}{10}}[/tex]
Therefore, we have;
The 95% C.I. is approximately -5.83 < μ₁ - μ₂ < -0.57
The test statistics is given as follows;
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Therefore we have;
[tex]z=\dfrac{(65.22-68.42)}{\sqrt{\dfrac{3^{2} }{10}+\dfrac{3^{2}}{10}}} = -2.385[/tex]
The p-value = P(Z<-2.39 or Z > 2.39) = 2P(Z<-2.39) = 2 × 0.00842 = 0.01684
b. From the confidence interval which range from approximately -5.83 to -0.57 and does not include 0, therefore, there is a difference in mean active concentration which depends on the choice of catalyst
c. The power of the test
The sample mean difference is given as follows;
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) = \pm z_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}} + \dfrac{\sigma_{2}^{2}}{n_{2}}}[/tex]
Therefore, we have;
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) = \pm 1.96 \times \sqrt{\dfrac{3^{2}}{10} + \dfrac{3^{2}}{10}} = \pm 2.6296[/tex]
The z-value is given as follows;
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
μ₁ - μ₂ = 5
When [tex]\bar{x}_1-\bar{x}_{2} = 2.6296[/tex]
[tex]z=\dfrac{2.6296-5}{\sqrt{\dfrac{3^{2} }{10}-\dfrac{3^{2}}{10}}} \approx -1.7667918[/tex]
When [tex]\bar{x}_1-\bar{x}_{2} = -2.6296[/tex]
[tex]z=\dfrac{-2.6296-5}{\sqrt{\dfrac{3^{2} }{10}-\dfrac{3^{2}}{10}}} \approx -5.686768[/tex]
The power of the test is given by P = P(Z<-5.69) + P(Z>-1.77) = 0 + 0.03836 = 0.03836
The power of the test = 0.03836
d. The sample size is statistically adequate because the confidence interval of -5.83 < μ₁ - μ₂ < -0.57 has a value of -5 as a possible population difference in mean
The assumption of normality seems adequate because the confidence interval obtained by using the sample standard deviation is given as follows;
(-5.74, -0.66) which also contains -5 which is the difference in the population mean
A sociologist wishes to conduct a poll to estimate the percentage of Americans who favor affirmative action program for women and minorities for admission to colleges and universities. What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04, with 95% confidence, if she uses a 2003 estimate of 0.55 obtained from a Gallup Youth Survey
Answers
Answer:
A sample of 595 should be obtained.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Estimate of 0.55
This means that [tex]\pi = 0.55[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2[/tex]
[tex]n = 594.2[/tex]
Rounding up,
A sample of 595 should be obtained.
The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 24 m by 24 m. What will be the area of the playgrounds?
Answers
Answer:
Each playground will be 100 m2. Both playgrounds are 200 m2.
Area of square is defined by a × a.
a = length of side. In this case a is 10 m
So, Area = 10 m × 10m
Area = 100 m2 (square meters). This is the area of one playground.
Two playgrounds will be the double, 200 m2
Step-by-step explanation:
A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.
Answers
Answer:
Both pools will have the same amount of water after 11 minutes and 32 seconds.
Step-by-step explanation:
Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:
Team Sunshine:
30 + (8X) = T
30 + 8x10 = 110
30 + 8x11 = 118
30 + 8x12 = 126
30 + 8x11.5 = 122
30 + 8x11.6 = 122.8
30 + 8x11.55 = 122.4
30 + 8x11.54 = 122.3
Team Breeze:
180 - (5X) = T
180 - 5x11 = 125
180 - 5x12 = 120
180 - 5x11.5 = 122.5
180 - 5x11.6 = 122
180 - 5x11.55 = 122.25
180 - 5x11.54 = 122.3
1 = 60
0.54 = X
0.54 x 60 = X
32.4
Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.
Can someone please tell me the answer
Answers
It's B because 2 equals 86 dgrees since its vertical angles
Solve each equation 2+ 5x - 1x - 22
Answers
Answer:
4x-20
Step-by-step explanation:
2+5x-1x-22
First, rearrange to make life temporarily easier.
5x-1x+2-22
Then combine like terms.
5x-1x=4x
2-22=-20
So we have 4x-20
That is simplified as far as it can.
---
hope it helps
The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
I will ONLY give brainliest to whoever answer FIRST AND whoever answers CORRECTLY!
Answers
Answer:
There is 32in² more sand in the pyramid with greater volume.
Step-by-step explanation:
Volume of rectangular pyramid = l²*h/3, where l is the base length and h is height.
Volume of left pyramid=l²*h/3=8²*(6/3)=64*(2)=128in³
Volume of right period=l²*h/3=6²*(8/3)=36(8/3)=96in³
128-96=32, there is 32in² more sand in the pyramid with greater volume.
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
Answer:
Verifal angles I think but I'm not necessarily sure!!!
can someone please help me
Answers
Answer:
B/ The second one
Step-by-step explanation:
up down/down up= y axis
side to side= x axis
The triangles have the same coordinates if reflected across the y axis.
Have a wonderful day! May I have brainliest?
Can someone help me plss
Answers
Answer:
Given, x = 2 and z = 12
z + 5x³
12 + 5×2³
12 + 5×8
12 + 40
52
Don't forget to like and mark me
Matthew has saved a total of $14,800, of which $3700 is invested in the stock market. What percent of his total savings is invested in the stock market?
Answers
Answer:
$ 56 .0000
Step-by-step explanation:
.......... ....... ....... ........ .....
Which table of the values can be defined by the function,y=4x-3
Answers
Answer:
B
Step-by-step explanation:
a home mortgage for a home that costs $672096 with a 4% interest rate for 24 years. How much is the monthly payment for the mortgage with the interest?
Answers
9514 1404 393
Answer:
$3633.96
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
monthly payment for principal P at annual rate r for t years.
A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96
The monthly payment for the mortgage is $3633.96.
Please Help! SCAMMERS WILL BE REPORTED! Use Cramer's Rule to solve the following system
-2x- 6y = -26
5x + 2y = 13
Answers
Answer:
x=1,y=4
Step-by-step explanation:
x=1,y=4
A simple closed figure bound by line segments is called polygon.
True or False?
Answers
Answer:
A. True
Step-by-step explanation:
I majored in Mathematics
What percentage of 400=104 pls help me
Answers
Answer:
26%
Step-by-step explanation:
To find the percentage of a number, I find it's often helpful to first write it as a fraction: [tex]\frac{104}{400}[/tex] .
Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]
.
Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:
[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]
As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.
5th grade math. correct answer will be marked brainliest
Answers
500 people were surveyed about their favorite type of pet. 55% of the people said
"dog", 1/10 said "cat", 0.3 said "bird", and the rest said "other". How many people
responded "other"?
Answers
Answer:
25/500 or 5% said 'other'
Step-by-step explanation:
55% = 275 (dog)
1/10 = 50 (cat)
0.3 = 150 (bird)
Total = 475
475 out of 500 (95%) gave an answer other than 'other'