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Reptile [31]
3 years ago
8

Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).

Mathematics
2 answers:
ruslelena [56]3 years ago
8 0
Find Slope:
Slope = (5 + 7)/(0 - 4) = -12/4 = -3

Sub slope into general equation:
y = -3x + c 

Find y-intercept:
at (0,5),
5 = -3(0) + b
b = 5

Equation :
y = -3x + 5

Answer: y = -3x + 5
LenaWriter [7]3 years ago
4 0
The slope intercept form is y=mx+b
The slope formula is m=(y2-y1)/(x2-x1)
So; 5-(-7) / 0-4= -3
Then you use one of the points to find b; I’ll use 0 and 5 (the first number is x and the second number is y)
5=(-3)(0)+b
5=0+b
5=b
Finally you plug in your two values
Y= -3x+5

Hope this helps :)

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there are 53 oranges in a box that contains a total of 77 pieces of fruit. how many oranges need to be added so that the box con
Tju [1.3M]
Ok so do 100 divided by 77 to get about 1.3% per fruit. then do 1.3 times 53 to get the current percent of oranges which is about 69% then do 84% minus 69% to get the difference then divide by 1.3 to get about 11.5 oranges so you round to 12 oranges. So 12+53 to get 65 total oranges to equal 84% of the 77 fruit in the box.
6 0
3 years ago
Evaluate 20 - 3x when x = 2 and when x =3. which gives you the larger value and what is that value?
kvasek [131]
For when x=2, You get 14. 
For when x=3, You get 11.
Therefore, x=2 gives a bigger value. 
4 0
4 years ago
Read 2 more answers
Find the midpoint of the line segment with end coordinates of: (-2, -4) and (2, -10)
kvasek [131]

Answer:

(0,-7)

Step-by-step explanation:

if you need to plot a coordinate you should put them into desmos

7 0
2 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

                Coefficient    Standard Error  

Intercept    25675.5           11393

x                  5321                  2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of  β you can calculate the two tailed t test using the formula:

t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } } ~t_{n-2}

t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } } = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated t_{H_0} under the distribution t_{98}

p-value < 0.00001

I hope it helps!

3 0
3 years ago
On May 22, 1960, an earthquake in Chile measured 9.5 on the Richter scale. On February 27, 2010, another earthquake in Chile mea
AnnZ [28]

Answer:

5

Step-by-step explanation:

use M = log (StartFraction I Over I Subscript 0 Baseline EndFraction)

6 0
3 years ago
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