All categories

2 years ago

The slope of the line below is -2. Use the coordinates of the labeled point to

Mathematics

1 answer:

Vilka [71]2 years ago

6 0

Answer:

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

$y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)$

Step-by-step explanation:

Incomplete question:

There is no point to complete the equation.

As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.

The linear equation can be written generically as:

$y(x)=mx+b\\\\y(x)=-2x+b$

If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:

$y_0=-2x_0+b$

Then, we can calculate b as:

$y_0=-2x_0+b\\\\b=y_0+2x_0$

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

$y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)$

You might be interested in

Compare the numbers by entering <, >, or =.

Andrew [12]

Your answer would be:
596.64 = 596.640
Reasoning= If you just take away the zero from 596.640 you would have the same answer as 596.64. Now if you add a zero to 596.64 you still would have the same answer, therefore they are equal.
Hope this helps! (:

6 0

2 years ago

Please help me thank you

QveST [7]

<<<<<<>>>>>>
F(5)=-15
F(-2)=13
F(3)=-7
F(0)=5
F(-5)=25

3 0

1 year ago

Michael has a bus rental agency. He has 18 buses available, of which 8 have air conditioning (A.C.). What is the probability tha

Inessa05 [86]

Answer:

4 / 9

Step-by-step explanation:

Solution:-

- Michael bus rental agency has a total of n = 18 buses.

- Out all the available buses he has r = 8 buses with AC in them.

- If we were to randomly select a bus from his agency what is the probability that the bus would have an AC:

P ( Bus with AC ) = Favorable Outcomes / Total outcomes

= Number of bus with AC / Total Buses

= r / n

= 8 / 18

= 4 / 9

8 0

2 years ago

Read 2 more answers

Suppose that a sample mean is .29 with a lower bound of a confidence interval of .24. What is the upper bound of the confidence

Ganezh [65]

Answer:

The upper bound of the confidence interval is 0.34

Step-by-step explanation:

Here in this question, we want to calculate the upper bound of the confidence interval.

We start by calculating the margin of error.

Mathematically, the margin of error = 0.29 -0.24 = 0.05

So to get the upper bound of the confidence interval, we simply add this margin of error to the mean

That would be 0.05 + 0.29 = 0.34

3 0

2 years ago

In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co

sukhopar [10]

Answer:

a. proportions have not changed significantly

Step-by-step explanation:

Given

Business College= 35 %

Arts College= 35 %

Education College = 30%

Calculated

Business College = 90/300= 9/30= 0.3 or 30%

Arts College= 120/300= 12/30= 2/5= 0.4 or 40%

Education College= 90/300= 9/30 = 0.3 or 30%

First we find the mean and variance of the three colleges using the formulas :

Mean = np

Standard Deviation= s= $\sqrt{npq\\}$

Business College

Mean = np =300*0.3= 90

Standard Deviation= s= $\sqrt{npq\\}$ = $\sqrt{0.3*0.7*300}$ = 7.94

Arts College

Mean = np =300*0.4= 120

Standard Deviation= s= $\sqrt{npq\\}$ = $\sqrt{0.4*0.6*300}$ = 8.49

Education College

Mean = np =300*0.3= 90

Standard Deviation= s= $\sqrt{npq\\}$ = $\sqrt{0.3*0.7*300}$ = 7.94

Now calculating the previous means with the same number of students

Business College

Mean = np =300*0.35= 105

Arts College

Mean = np =300*0.35= 105

Education College:

Mean = np =300*0.3= 90

Now formulate the null and alternative hypothesis

Business College

90≤ Mean≥105

Arts College

105 ≤ Mean≥ 120

Education College

U0 : mean= 90 U1: mean ≠ 90

From these we conclude that the proportions have not changed significantly meaning that it falls outside the critical region.

8 0

2 years ago