1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vagabundo [1.1K]
3 years ago
9

Prove that y = -3x + 3 is linear

Mathematics
1 answer:
ra1l [238]3 years ago
6 0
Linear line is a straight line. In this equation which is in slope intercept form (y=Mx+b) M the number in front of the x is the slope (also known as common different) -3 is the slope, you do rise rise over run -3(down 3 to the right 1) or (up 3 to the left 1) and 3 is the y intercept. Y intercept is when x=0 (3,0). If you graph the point (3,0) you go down 3 to the right 1.
You might be interested in
In a study of red/green color blindness, 700 men and 2850 women are randomly selected and tested. Among the men, 66 have red/gre
olga55 [171]

Answer:

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

Step-by-step explanation:

Data given and notation  

X_{M}=66 represent the number of men with red/green color blindness.

X_{W}=8 represent the number of women with red/green color blindness.

n_{M}=700 sample of male slected

n_{W}=2850 sample of female selected

p_{M}=\frac{66}{700}=0.0943 represent the proportion of male with red/green color blindness.

p_{W}=\frac{8}{2850}=0.00281 represent the proportion of female with red/green color blindness.

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion of men with red/green color blindness. is higher than the proportionof women with red/green color blindness. , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{66+8}{700+2850}=0.0208

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

8 0
3 years ago
50 points and brainist help!
Vedmedyk [2.9K]

Answer:

x=20 and y=100

Step-by-step explanation:

Using vertical angles, angle 1 and 3 equal each other. Therefore, x=80/4. Then, by using the sum of angle 1 and 3, 160, and using vertical angles again, we can find angle 2, which is (360-160)/2.

6 0
3 years ago
Read 2 more answers
A piece of string 25 and 1/2 inches long will be cut into 3/4 inch pieces how many pieces will there be
olga2289 [7]

you would have 9.375 pieces or 75/8 pieces, depends on how you look at it

6 0
3 years ago
Two numbers have been added together, and their sum is 67. When subtracted, the difference is 11. What is the smaller number?
stealth61 [152]
28 is your answer

67-28 = 39

39-28 = 11

if this isn't correct plz leave a comment below before reporting

hope this helps

5 0
3 years ago
If the following system of equations was written as a matrix equation in the form AX = C, and matrix A was expressed in the form
IrinaVladis [17]

Answer: a-b+c+d =4


Step-by-step explanation:

The given system of equation is

2x+8y=7\\4x-2y=9

from this we have the following matrices

A_1 =\begin{bmatrix}\\2 &8 \\ \\4&2 \\\end{bmatrix}\ ,X=\begin{bmatrix}\\x\\ \\y\\\end{bmatrix}\text{and}\ C=\begin{bmatrix}\\7\\ \\9\\\end{bmatrix}

the given matrix A =\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}

On comparing Matrix  A_1 with Matrix A

\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}=\begin{bmatrix}\\2&8 \\ \\4 &-2 \\\end{bmatrix}

we have the following values

a=2 ,b=4,c=8,d=-2

Thus a-b+c+d =2-4+8+(-2)=4

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following can be used to find the volume of a rectangular prism with length 7.5 centimeters, width 2 centimeters, a
    10·1 answer
  • What is 2.33 written as a mixed number in simplest form
    13·2 answers
  • Say I buy a violin for $860 and I have to pay 7% sales tax, how much do I pay in all
    10·2 answers
  • Picture shownnnmn helppp
    11·1 answer
  • Alejandro has three ladders that are 15, 10, and 12 feet in length. If he is trying to reach a window that is 8 feet from the gr
    8·1 answer
  • What is the solution to the equation?
    6·1 answer
  • What is the square root of 68?
    9·2 answers
  • Find 356*27+537*373-235*73=
    5·1 answer
  • Malik randomly picked two different numbers from 1 to 9. The first one was odd. What is the probability that Malik picked a seco
    8·1 answer
  • 3x+2=x+10 <br> what is the answer to this equation
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!