What is the equation of the line through (2,3) and (0,-1)\
WILL GIVE BRAINLIEST
Answer:
y=2x−1
Explanation:
First, we need to determine the slope of the line. The formula for determining the slope of a line is:
m=y2−y1x2−x1
where m is the slope and the x and y terms are for the points:
(x1,y1) and (x2,y2)
For this problem the slope is:
m=3−−12−0
m=3+12m=42m=2
Now, selecting one of the points we can use the point slope formula to find the equation.
The point slope formula is:
y−y 1=m(x−x1)
Substituting one of our points gives:
y−1=2(x−0)y+1=2x
Solving for y
to put this in standard form gives:
y+1−1=2x−1
y+0=2x−1
y=2x−1
(umm can anyone help me please) I’ll give brainlist <3
Answer:
12
Step-by-step explanation:
8 times 1.5
A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles). Miles 1 2 3 4 6 8 10 12 Time 7 16 30 35 57 75 106 132 What is the correlation coefficient of the set of data? Round your answer to the nearest thousandth. A. 0.599 B. 0.996 C. 0.021 D. negative 0 point 997
Asap! Thanks!
Answer:
its b
Step-by-step explanation:
The correlation coefficient of the set of data is 0.9957.
What is coefficient correlation? What is the general equation of a Straight line?Correlation coefficient measures the strength and direction of the relationship between two variables. Following is the formula to calculate the correlation coefficient -
[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
r → correlation coefficient.
[tex]$x_{i}[/tex] → values of the x-variable in a sample.
[tex]$\bar{x}[/tex] → mean of the values of the x-variable.
[tex]$y_{i}[/tex] → values of the y-variable in a sample.
[tex]$\bar{y}[/tex] → mean of the values of the y-variable.
The general equation of a straight line is -
y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles) -
Miles -
1 2 3 4 6 8 10 12
Time -
7 16 30 35 57 75 106 132
The calculations are given below -
[X - Mₓ]
- 4.750
- 3.750
- 2.750
- 1.750
0.250
2.250
4.250
6.250
Mₓ = 5.750
[Y - My]
- 50.250
- 41.250
- 27.250
- 22.250
- 0.250
17.750
48.750
74.750
My = 57.250
[X - Mₓ]²
22.562
14.062
7.562
3.062
0.062
5.062
18.062
39.062
Sum = 109.500
[Y - My]²
2525.062
1701.562
742.562
495.062
0.062
315.062
2376.562
5587.562
Sum = 13743.500
(X - Mₓ)(Y - My)
238.688
154.688
74.938
38.938
- 0.062
39.938
207.188
467.188
Sum = 1221.500
Finding [X] - Values -
∑ = 46Mean = 5.75∑(X - Mₓ)² = SSₓ = 109.5Finding [Y] - Values -
∑ = 458Mean = 57.25∑(Y - My)² = SSy = 13743.5[X] and [Y] Combined
N = 8∑(X - Mx)(Y - My) = 1221.5R Calculation
r = ∑((X - My)(Y - Mₓ)) / √((SSₓ)(SSy))
r = 1221.5 / √((109.5)(13743.5)) = 0.9957
r = 0.9957
Therefore, the correlation coefficient of the set of data is 0.9957.
To solve more questions on correlation coefficient, visit the link below-
https://brainly.com/question/27226153
#SPJ2
Lin’s family has completed 80% of a trip. They have traveled 40 miles. How far is the trip? *
Answer:
50 miles i believe
Step-by-step explanation:
Answer:
50 miles
Step-by-step explanation:
Order the following set of numbers from least to greatest.
3/4, 0.72, 69%, 0.63
Answer:
qwhich one do we answer, 1, 2?????????
Step-by-step explanation:
What is -2-(-7)
Plsss explain
Answer:
14 I think I'm. it completely sure
Answer:
5
Step-by-step explanation:
you keep the sign of the first number
change the minus sign to addition
and the 7 to a positive
-2 +7
is the same as 7 - 2 if you switch the term
Christopher is hanging Christmas lights along the perimeter of his house by using his 15 foot ladder. The base of the ladder is placed 4 feet away from the base of his house. How far up the house does his ladder reach?
Answer:
14.45 feet
Step-by-step explanation:
The set up is a right angled triangle;
The length of the ladder = hypotenuse = 15foot
The base of the ladder is the adjacent = 4feet
The height of th house is the opposite = x
Using the pythagoras theorem;
hyp² = opp² + adj²
15² = opp²+4²
opp² = 15²- 4²
opp² = 225 - 16
opp² = 209
opp = 14.45feet
Hence the ladder reaches 14.45 feet up the house
what is the answer to this radical equation
[tex]\sqrt{x + 13=7}[/tex]
Answer:
x = 36
Step-by-step explanation:
Given
[tex]\sqrt{x+13}[/tex] = 7 ( square both sides )
([tex]\sqrt{x+13}[/tex] )² = 7²
x + 13 = 49 ( subtract 13 from both sides )
x = 36
[tex]\sqrt{x+13}=7\\[/tex]
To solve the radical equation, completing the square all whole equation.
[tex](\sqrt{x+13})^2=7^2\\[/tex]
As defined, [tex](\sqrt{x})^2 =|x|[/tex]
Therefore, [tex](\sqrt{x+13})^2=|x+13|=x+13[/tex] (Although Absolute Function gives 2 conditions, however - domain of radical function must be greater than or equal to 0. Meaning x < 0 for another condition doesn't apply.)
[tex]x+13=49\\x=49-13[/tex]
Move 13 to subtract.
[tex]x=36[/tex]
Therefore, the answer is x = 36.
A music company offers lessons. They charge a registration fee of $30 and then $40 per lesson The equation y 40x + 30 represents the total cost y of x lessons. What is the y-intercept and what does it represent in the context of the problem?
Answer:
THe y intercept is 30 and it represents the registration fee
Step-by-step explanation:
Who knows how to do this I TRULY NEED HELP
Answer:
11
Step-by-step explanation:
if the two triangles are similar, that means that they are proportional to each other.
If you look at how they are shaped, they look the same, just one is smaller.
When you compare the two, you see that on triangle EFU, side EU corresponds with side VU on triangle VWU
EU = 7 and VU = 35
now divide so see what the multiplying factor is
35/7 = 5
so, when you divide the values on triangle VWU by 5, you get the values for triangle EFU
35/5 = 7
side UW corresponds with side UF
UW = 55 and UF = ?
55/5 = 11
Side UF = 11
— 2х + Зу = 6
solve for y
Answer:
y = 2/3x+3
Step-by-step explanation:
-2x+3y=6
you add 2x to the other side 3y=2x+6
and divide by 3
y = 2/3x+2
In an experiment, the variable that is manipulated is called the?
Measurement variable
Explanatory variable
Response variable
Confounding variable
Answer:
Explanatory Variable is the right answer it is the variaable being manipulated and observed.
Step-by-step explanation:
PLEASE HELP I’M GIVING 15 POINTS
Sorry but I don't see any pictureessss--
What am I supposed to be answering??
Welp-
Sawarasenai kimi wa shoujo na no?~
Click on photo to see the whole thing
Answer:
cveryc
Step-by-step explanation:
ITS C im good11123
Answer:
c
Step-by-step explanation:
A gardener can trim a square lawn of side 50 metres in 4 hours. At the same rate, how long will it take him to trim a square lawn of side 25 metres?
A)1 hour
B)2 hours
C)2 hours 30 minutes
D)3 hours
Answer:
2 hours
Step-by-step explanation:
50 metres / 4 hours = 25 metres / x hours
cross multiply both sides
50x = 25(4)
50x = 100
divide 50 both side
x = 100/50
x = 2 hours
The distance on a map between North Carolina and Louisiana is 4 inches. If the map’s scale is 1 inch = 237 miles, what is the actual distance between North Carolina and Louisiana?
Answer:
Answer is 948 miles.
Step-by-step explanation:
distance in inches is 4 inches on map
1 inch = 237 miles
4*237=948
948 is the actual distance between north Carolina and Louisiana
I'LL MARK AS BRAINIEST !!! please hurry !!!
Which expression is equivalent to cos 16°?
A. sin 164°
C. sin 84°
B. sin 16°
D. sin 74°
Answer: my answer for dat will be sin 16 degrees
Step-by-step explanation:
How many terms are in the expression below?
-4x + 7 + 2x + 10
Answer:
3
Step-by-step explanation:
Need help please!!!!!
Answer:
0 or 5/12
Step-by-step explanation:
with everything subtracted its 0 but with only subtracting 1/6 its 5/12
hElp Me PLaesssssssssssssssssssssssssssss
Factor −6
out of −18a−30 Please I’m really frustrated
Answer:
-6(3a + 5)
Step-by-step explanation:
Factoring -6 from 18a, you will be left with 3a because -6× 3a will give you 18a
Also factoring -6 from 30, you will be left with 5 because -6 ×5 = -30.
so -18a -30
-6( 3a + 5)
PLZ ANSWER IF U KNOW THE ANSWER!
SHOW YOUR WORK!
Which of the following transformations would show that ∆DEF is congruent to ∆JKL?
A). ROTATION
B). A REFLECION IN THE Y-AXIS
C). A REFLECTION IN THE X-AXIS
D). A ROTATION ABOUT THE ORGIN
What is the slope of the line that passes through the points M(-3,5) and N (1,8)
Answer:
m=[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
4 ,1/4 ,10 ,40
please help me :((((
Answer: 1/4 (0.25)
I hope this helps, and Happy Holidays! :)
a scientist is running a simulation of a hypothetical city since she wants to explore its environmental impact over time the city's population is increasing 15 percent every year and there are currently 57,000 people what will the population be in 12 years?
Answer:
203,549 !!!
Step-by-step explanation:
If y=32 when x=8, find y when x=30.
what is 0.716 divided by 5?
Estimate 5,860÷2.1≈
i really need help on it.
Answer: it 2790
Step-by-step explanation:
The value of 5,860÷2.1 is 2790.
What is division?
In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.
What are the terminologies used in the division?dividend, divisor, quotient remainder.Learn more about division here: https://brainly.com/question/25289437
#SPJ2
Which situation can the integer -71 represent?
Choose the correct answer below.
A) a bird flies 71 ft above sea level
B) you climb a mountain 71 ft above sea level
C) a fish swms 71 ft below sea level
Use Properties to evaluate 3/5(-20÷1/3)(2/3)
A. 12
B. 24
C. -12
D.-24
Answer:
D.-24
Step-by-step explanation: