Write the equation in slope-intercept form of the line that includes the point (3,2) and has a slope of 4/3.
Answers
Answer:
[tex] y = \frac{4}{3}x - 2 [/tex]
Step-by-step explanation:
Given:
Slope (m) = ⁴/3
Point on the line = (x, y) = (3, 2)
Required:
Write the equation in slope-intercept form which is y = mx + b
Solution:
Since we know the slope(m), we need to find the y-intercept (b).
This, substitute (x, y) = (3, 2) and m = ⁴/3 into y = mx + b, and solve for b. Thus:
2 = ⁴/3(3) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
To write the equation, substitute m = ⁴/3 and b = -2 into y = mx + b
[tex] y = \frac{4}{3}x - 2 [/tex]
Related Questions
he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 5 weekdays and finds an average of 259.23 gallons of milk sold on those days with a standard deviation of 34.713. 10 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 365.12 with a standard deviation of 48.297. Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Answers
Answer:
90% confidence interval is ( -149.114, -62.666 )
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 259.23 x"₂ = 365.12
s₁ = 34.713 s₂ = 48.297
n₁ = 5 n₂ = 10
With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }
significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1
Since we are to assume that variance are equal and they are know, we will use pooled variance;
Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13
Now, pooled estimate of variance will be;
[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]
we substitute
[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]
[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [ 4 + 9 ]
[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [ 13 ]
[tex]S_p^2[/tex] = 25813.3692 / 13
[tex]S_p^2[/tex] = 1985.64378
Now the Standard Error will be;
[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]
[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]
[tex]S_{x1-x2[/tex] = √595.693134
[tex]S_{x1-x2[/tex] = 24.4068
Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771 { t-table }
So,
Margin of Error E = [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
Margin of Error E = 1.771 × 24.4068
Margin of Error E = 43.224
Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89
So, Limits of 90% CI will be; x₁ - x₂ ± E
Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114
Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666
Therefore, 90% confidence interval is ( -149.114, -62.666 )
A plane is 116 mi north and 182 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to the nearest tenth of a degree. (Listing BRAINLEST) !
Answers
Answer: 32.5
Step-by-step explanation:
Just look up trigonometry calculator should be the first thing
f(x) = x3 + 6x2 – x
f(x) = 30?
Answers
Answer and Step-by-step explanation:
The answer is 2 (which is equal to x).
If you were to plug 2 in to the function, the result if 30.
[tex]x^{3}+ 6x^{2} -x\\\\\\\\(2)^3+6(2)^2 - 2 = 30 = f(2)[/tex]
#teamtrees #PAW (Plant And Water)
I need the answer plssssssss
Answers
Please mark brainliest
The city of Atlanta wants to paint a cylindrical-shaped water tank. The height of the tank is 88 feet and the radius is 25 feet. How much water will this tank hold
Answers
Answer:
The tank can hold water 172,857.14 cubic feet
Step-by-step explanation:
Given that the shape is cylindrical, the amount of water it can hold may be determined using the formula for the volume of a cylinder.
The volume V of a cylinder whose base radius r and height is h is given as
V = Pir^2h where Pi is 22/7
Given that the height of the tank is 88 feet and the radius is 25 feet, then the volume V
= 22/7 * 25^2 *88
= 172,857.14 cubic feet
What is an equation of the line that passes through the points (4, 1) and (8, -3)?
Answers
Answer:
y=-1x+5
Step-by-step explanation:
PLS HELPPP ASAP!!!!!
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answers
Answer:
RYAN
Step-by-step explanation:
6+7+8+9+10=40
40 divided by 5= 8
mean is all numbers added together divided by amount of numbers
The average number of hours that adults spend working each day is; 8 hours and Ryan is correct because he got the average of 8 right.
How to calculate the mean from a sample of data?The mean is gotten from the formula;
x' = ∑x/n
Number of hours of work per day are; 6, 7, 8, 9 and 10
Thus;∑x = 6 + 7 + 8 + 9 + 10
∑x = 40
Mean is; x' = 40/5
x' = 8
Since ryan concluded that the average is 8 hours, then we can say that Ryan is correct.
Read more about mean of data at; https://brainly.com/question/24245867
find the value of x when r// s
Answers
Answer:
x = 81°
Step-by-step explanation:
Refer to the attachment for the steps.~
Solve the inequality: 14-0.6t>2
Answers
Answer:
t > 20
Step-by-step explanation:
14 - 0.6t > 2
14 - 14 - 0.6t > 2 - 14
- 0.6t > - 12
- 0.6t ÷ - 0.6 > - 12 ÷ - 0.6
t > 20
Answer:
t<20
Step-by-step explanation:
move the constant to the right- hand side and change its sign
-0.6>2-14
calculate the differnce
-0.6> -12
divide both sides of the inequality by -.06 and flip the inequality sign
t>20
so your solution is t>2o
Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater? (Show all of your proof
Answers
Answer:
Melissa
Step-by-step explanation:
Melissa: 18/20
Tom: 85/100
Find the common denomenater so multiply 18*5 and 20*5
Melissa: 95/100
95>85
Melissa has the greater mark
Solve for x in the triangle. Round your answer to the nearest 10th.
Answers
Answer:
x = 35.3
Step-by-step explanation:
tan(63°) = x/18
18 · tan(63°) = x
35.3 = x
Which is the graph of y=[x]-2?
Answers
Answer:
The function y = ⌊x⌋ is called the "greatest integer value" function.
it works as follows: the input is any number x, the output is the greatest
integer smaller or equal to x.
For example:
⌊0.1⌋=0
⌊0.26⌋=0
⌊0.4678⌋=0
⌊0.8989⌋=0
⌊0.999⌋=0
⌊1⌋=0
⌊1.0001⌋=1
so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.
Similarly,
the value of ⌊x⌋, for the entire interval (1, 2] is 1. and so on,
thus the graph of y = ⌊x⌋ is as shown in picture 1
the graph of y = ⌊x⌋ – 2 is the graph of y = ⌊x⌋ shifted 2 units down.
check picture 2.
4. If z, a+bi and z, c+di represent two complex numbers with real components a, b, c and d, then which of the following represents the coefficient of i in the product of z, and z,?
(1) ac-bd
(2) ad-be
(3) ab+cd
(4) be+ad
Answers
Answer:3
Step-by-step explanation:
The measures of the first and second angles in a triangle are equal.The third angle measures 9 times the sum of the equal angles. Find the measurements of the three angles
Answers
9514 1404 393
Answer:
9°, 9°, 162°
Step-by-step explanation:
Let x represent the measure of the first angle. Then the sum of all of the angles in the triangle is ...
x + x + 9(x+x) = 180°
20x = 180° . . . . . . . . . . collect terms
x = 180°/20 = 9° . . . . . divide by 20
9(x+x) = 162° . . . . . . . find the third angle
The three angle measures are 9°, 9°, and 162°.
Which statement is true?
Question 18 options:
A)
– |–13| = 13
B)
|–13| = 13
C)
– |13| = 13
D)
|13| = – 13
Answers
answer
A. - ( -13) = 13
thank. u
Answer:
b
Step-by-step explanation:
A is incorrect cause it would be a negative
C would also be a negative
D is a positive
so yea
The table shows the soil density of several soil samples at different depths. A) Write the quadratic regression equation that models the data. Let x = depth below the surface and let y = soil density. (B) Use the equation to estimate the soil density of a sample at a depth of 20 m. Show your work. ( Look at the picture for the table and Answer Part A and Answer Part B) Will Mark Brainliest if correct.
Answers
Answer:
depends on the tax percentage
Step-by-step explanation:
Hope this answer helps you.
Have a great day
Mark brainliest
which statement is true about theese triangles is true?
A)There are exactly three acute triangles
B)There are exactly three isosceles triangles
C)There are exactly three right triangles
D)There are exactly three scalene triangles
Answers
Answer:
D is the answer. because their are three scalene triangles
Answer:
D)There are exactly three scalene triangles
Step-by-step explanation:
A row of plaques covers 252 square feet of space along a wall. If the plaques are 6 feet tall, what length of the wall do they cover?
Answers
Answer:
yeah boy
Step-by-step explanation:
They cover 252
they cover up the wall
What is the value of x?
Answers
Answer:
45 degree
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 degree (being sum of interior angles of a triangle)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 degree
Answer:45 độ
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 độ (là tổng 3 góc của tam giác)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 độ
uppose paired data are collected consisting of, for each person, their weight in pounds and the number of calories burned in 30 minutes of walking on a treadmill at 3.5 mph. How would the value of the correlation coefficient, r, change if all of the weights were converted to kilograms
Answers
Answer:
Has no effect on the correlation
Step-by-step explanation:
The correlation coefficient measures the strength of the relationship between two variables and it has no unit of measurement. All that correlation Coefficient does is to observe whether increase in variable x increases as variety able y increases and vice versa and how closely the values in each if the two variables are related. This is to emphasize that, the correlation Coefficient is independent of the unit of measurement of the two variables in question.
Hence, converting all weights to kilograms has no effect on the correlation Coefficient
Gregory knows that ABC is reflected onto A'B'C. Which statement about the figures is true? Olf Gregory draws the segment with endpoints A and A', then the midpoint will lie on the line of reflection O If Gregory draws the segment with endpoints B and C', then the midpoint will be on the line of reflection O Points A and B are equidistant from the line of reflection O AB will be perpendicular to the line of reflection
Answers
The true statement about the reflection is (a) If Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
When a shape is reflected, it must be reflected across a line (called the line of reflection)
The line of reflection is always located at a point equidistant to the image and the pre-image of the shape that is being reflected
Hence, the true statement is (a) If Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
Read more about reflection at:
https://brainly.com/question/4289712
Answer:
a
Step-by-step explanation:
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Inside a personal computer, 5 memory chips fit inside a 1-inch section. How much space do 3 memory chips take up?
A) 4/5 inch
B) 5/3 inch
C) 3/5 inch
D) 5/5 inch
Answers
Explanation:
5 chips = 1 inch
1 chip = 1/5 inch
3 chips = 1/5 x 3 = 3/5 inch
please solve right now
Answers
Answer:
45 mph
251 ft
Step-by-step explanation:
[tex] s = \sqrt{30fl} [/tex]
a.)
[tex] s = \sqrt{30(0.85)(80)} [/tex]
[tex] s = \sqrt{2040} [/tex]
[tex] s = 45 [/tex]
Answer: 45 mph
b.)
[tex] 80 = \sqrt{30(0.85)l} [/tex]
[tex] 80^2 = (\sqrt{25.5l})^2 [/tex]
[tex] 25.5l = 6400 [/tex]
[tex] l = 251 [/tex]
Answer: 251 ft
A person places a bet on a new type of Roulette wheel with the following probabilities and outcomes: 45% probability of RED: Person Wins $100 45% probability of BLACK: Person Loses $100 10% probability of GREEN: Person Loses $10 What is the expected dollar value for a person playing this game
Answers
Answer:
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.
Step-by-step explanation:
Expected dollar value:
Probability of each outcome multiplied by it's monetary outcome.
Outcomes:
45% probability of winning $100.
45% probability of losing $100.
10% probability of losing $10.
What is the expected dollar value for a person playing this game?
[tex]E = 0.45*100 - 0.45*100 - 0.1*10 = -1[/tex]
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.
m to third power
n if m = 4 and n= 5
Answers
If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.
Answers
Answer:
Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.
Step-by-step explanation:
Step 1: Determining the amount in metric tons of paper products recycled
In the year 2010, a total of 76 million metric tons of MSW was recycled.
Recycling of paper products accounted for 33% of the total MSW recycled in 2010.
The amount of paper products recycled in millions of metric ton = 0.33 × 76 million = 25.08 million metric tons of paper products.
Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products
7m³ of landfill space is saved for each metric ton of paper products.
Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled × 7 m³/metric ton
Volume of landfill space saved = 25.08 million metric tons × 7 m³/metric ton
Volume of landfill space saved = 175.56 million m³ of land space
Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:
0.33t = 7
t = 7/0.33
t = 21
21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
More can be learned about proportions at https://brainly.com/question/24372153
help me please 2t = 10
Answers
2t/2 = 10/2
t=5
Answer: t = 5
Step-by-step explanation:
If 2t = 10, then we divide 10 by 2. The answer is 5.
Find the slope of the line
Answers
[tex]\\ x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y} x_{123} \leq \geq \neq \pi \alpha \beta \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \\ x^{2} \geq \leq \neq \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \leq \\ \sqrt{x} \sqrt{x} \beta \beta \beta \frac{x}{y} \neq \leq \left \{ {{y=2} \atop {x=2}} \r[/tex]
Answers
Answer:
?????
Explanation: ????
A cooler contains twelve bottles of sports drink: three lemon-lime flavored, four orange
flavored, and five fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an
orange.
A).583
B).333
C).727
D).714
Answers
Explanation:
Add the lemon lime and orange pool together and put it over the total and divide then together you get .583!