Answers
Answer:
y = 3x+4
Step-by-step explanation:
slope formula is changes of y over the changes of x
[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]
m is slope in y = mx+b.
Substitute the coordinate points in.
[tex] \large{m = \frac{7 + 2}{1 + 2} } \\ \large{m = \frac{9}{3}} \\ \large{m = 3}[/tex]
Since we know the slope, we rewrite by substituting m = 3 in the slope-intercept form.
[tex] \large{y = mx + b} \\ \large{y = 3x + b}[/tex]
Then we either substitute one of given coordinate points to find the value of b. I will substitute (1,7) in the equation.
[tex] \large{7 = 3(1)+ b} \\ \large{7 = 3 + b} \\ \large{7 - 3 = b} \\ \large{4 = b}[/tex]
Then rewrite the equation from y = 3x+b by substituting the value of b.
[tex] \large{y = 3x + b} \\ \large{y = 3x + 4}[/tex]
Related Questions
The sum of two numbers is 200 and the two numbers in a ratio of 2.3. What is the larger number
Answers
Answer:
the larger number is 120
Step-by-step explanation:
sum of number = 200
total ratio = 2 + 3 = 5
ratio 1 = 200 ÷ 5 = 40
ratio 2 = 40 × 2 = 80
ratio 3 = 40 × 3 = 120
Heather paid $37.50 for a pizza to be delivered to her house. She had a coupon for 30% off and
there is a tax of 8%. What was the total cost of the pizza to be delivered?
Answers
Answer:
The original cost of the pizza before the discount coupon and the tax was $49.28.
Step-by-step explanation:
Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:
100 - 8 = 92
100 = 37.50
92 = X
92 x 37.50 / 100 = X
34.50 = X
100 - 30 = 70
70 = 34.50
100 = X
100 x 34.50 / 70 = X
49.28 = X
Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.
What is the solution of the equation z +8 = 21?
Answers
Answer: 13
Explanation:
21-8=13
z = 13 is the solution of the equation z +8 = 21.
What is simplification?When a mathematical expression is converted into an equivalent, typically shorter statement, it becomes simpler. Procedure simplification is one method to encourage uniformity in work effort, expense, and duration. It reduces diversity and variation that is detrimental, pointless, or unnecessary.
Given, an expression z + 8 = 21
Simplifying it,
z = 21 - 8
z = 13
Therefore, The answer to the equation z + 8 = 21 is z = 13.
Learn more about simplification here:
brainly.com/question/24242989
#SPJ2
Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answers
This question is incomplete, the complete question is;
he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).
Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answer:
a)
the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Step-by-step explanation:
Given the data in the question;
lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;
probability; feel guilty about wasting food P(A) = 0.39
probability; feel guilty about leaving light on P(B) = 0.27
probability; feel guilty for both P(A ∩ B ) = 0.12
a)
probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both
p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )
we substitute
p( A ∪ B ) = 0.39 + 0.27 - 0.12
p( A ∪ B ) = 0.54
Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
probability that a randomly selected person will not feel guilty for either of these reasons;
p( A ∪ B )' = 1 - p( A ∪ B )
p( A ∪ B )' = 1 - 0.54
p( A ∪ B )' = 0.46
Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Please help ASAP ........ Find the area of the region bounded by the curves
x² + y² = 4, y = √3x , and 1st quadrant..
Answers
Answer:
(x₁ , y₁) = (0,0)
(x₂ , y₂) = [tex]\frac{\sqrt[16]{3} }{19}[/tex] , [tex]\frac{12}{19}[/tex]
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
Answer:
C) angle 7
Step-by-step explanation:
angle 7
Will you explain it
Answers
Answer:
there is literally nothing in the picture
Answer:
it's a black screen sized 200x200
Professor Ivy has given the following weights to her grades: Weight of Area Homework 5% Projects 25% Quiz 25% Exams 45% Your friend has the following averages: Homework: 95 Projects: 89 Quizzes: 80 Exams: 86
Answers
Answer:
The said friend's grade in Professor Ivy's class is 85.7.
Step-by-step explanation:
Assuming the question asks for your friend's grade in Professor Ivy's class.
0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7
Find the range of the data in the box plot below.
cookies
Number of cookies eaten
by each contestant
HHHHHHHHHHHHHHHHHHHHHHHHH
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answers
Answer:
16
Step-by-step explanation:
22-6=16 ;0
6x+2+11x+8=180 what's the value of x?
Answers
-10 -10
——————-
17x=170
————
17 17
x=10
Answer:
x=10
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answers
Answer:
D
Step-by-step explanation:
It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.
What is the total area of the figure shown?
A)80ft2
B)74ft2
C)56ft2
D)42ft2
Answers
Answer:
B 74
Step-by-step explanation:
A truck has 475 apples on it. It makes a delivery of 215 apples to the farmer's market. The rest of the apples on the truck are delivered to the grocery store. How many more apples were delivered to the grocery store than to the farmer's market?
Answers
Answer:
45 more apples
Step-by-step explanation:
Well the total is 475
215 is already gone and the remaining goes to the store
475-215= 260
Groccery gets 260
Farmer gets 215
So to find how much more yuou jsut subtract the 2
260-215 which is 45
Help please question in picture
Answers
Answer:
220
Step-by-step explanation:
Area of square=8*20=160
Area of triangle=(6*20)/2=60
160+60
Answer:
220 units²
I'm sure this is the answer!
Census data from a city of 80,000 residents produced the income distribution shown here:
110
60
Income (thousand dollars)
Suppose that we were to take random samples of 5 residents from this population and calculate the sample
mean income of the residents in each sample.
What will be the shape of the sampling distribution of the sample mean?
Answers
Answer:
Skewed to the right
Look at dis \/
The shape of the sampling distribution of the sample mean will match the shape of the parent population since the sample size is small (n=5<30), although it will be closer to normal than the parent population is.
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whats going on ;)
Pls help! This test determines if I take math 1 or 2 for 8th grade!!
Answers
Answer:
My best guess is D she can make 4 dozen cokies
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
it is B because for number A 1+1 =2 2>1.75. B= 1.5<175, c= 0.5 <1, d. 2>1.75
a storm blew down many trees. several neighbors rented a chain saw for $232.85 and helped each other cut up and stack wood. the rental company charges $73.95 per day plus a $11 sharpening fee. how many days was the saw rented?
Answers
9514 1404 393
Answer:
3 days
Step-by-step explanation:
You can estimate the answer (correctly) by observing that 3 × 70 is 210. This is close enough to 232.85 that you know the number of rental days is not 2 or 4.
The equation for the number of days (d) is ...
73.95d +11 = 232.85 . . . $73.95 per day plus an extra fee
73.95d = 221.85 . . . . . . subtract 11
d = 221.85/73.95 = 3 . . . . divide by the coefficient of d
The saw was rented for 3 days.
Answer:
3 days
Step-by-step explanation:
Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (in minutes) below for a sample of 17 users. Assume normality. Assume normality.
1.2
2.8
1.5
19.3
2.4
0.7
2.2
0.7
18.8
6.1
6
1.7
29.1
2.6
0.2
10.2
5.1
0.9
8.2
Conduct the appropriate hypothesis test for Company B using a 0.08 level of significance.
1. What are the appropriate null and alternative hypotheses?
a. H0: μ = 10 versus Ha: μ ≠10
b. H0: μ = 10 versus Ha: μ > 10
c. H0: x = 10 versus Ha: x ≠10
d. H0: μ = 10 versus Ha: μ < 10
2. What is the test statistic? Give your answer to four decimal places.
3. What is the critical value for the test? Give your answer to four decimal places.
4. What is the appropriate conclusion?
Answers
Answer:
H0 : μ = 10
H1 : μ < 10
Test statistic = - 2.0415
Critical value = -1.4051
There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes
Step-by-step explanation:
The null and alternative hypothesis :
H0 : μ = 10
H1 : μ < 10
The test statistic :
From the data Given, using calculator :
Sample mean, xbar = 6.3
Sample standard deviation, s = 7.90
Test statistic = (xbar - μ) ÷ (s/sqrt(n))
Number of samples given is 19 and not 17 as stated in the question.
Test statistic = (6.3 - 10) ÷ (7.90 / sqrt(19))
Test statistic = - 3.7 / 1.8123842
Test statistic = - 2.0415
The critical value for the test :
At α = 0.08 ;
Critical value = -1.4051
Since, Test statistic is < Critical value ;
-2.0415 < - 1.0451 ; we reject the Null
There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes
|-3|>2 true or false
Answers
Answer:
True
Step-by-step explanation:
l-3l>2
3>2= True
Dimensions of a building are 728 feet by 800 feet. If 1 inch represents 8 feet, what are the dimensions of the building on the drawing?
Answers
Answer:
91in by 100in
Step-by-step explanation:
WIIL GIVE BRAINLIEST IF YOU HELP ME
Answers
Answer:
What is the question?
Step-by-step explanation:
please help!! Area of Trapezoids and Triangles
Answers
Answer: Area of the shape is 168 ft.
Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.
Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.
help help help help pleaseeeee
Answers
Answer:
h=13
P=5
b=12
Step-by-step explanation:
tanA=p÷b=5÷12sinA=p÷h=5÷13cosA=b÷h=12÷13can you get this answer
Answers
Answer:
1/128
Step-by-step explanation:
use formula: an = a1 × r ^ n-1
a1 = 4
r = 0.5
n = 10
a10 = 1/128
jay spent 1/2 of his money on pencils. He had $2.50 left.
How much money did he start with?
Answers
Answer:
$5
Step-by-step explanation:
Multiply.
(5v+6w-7)(-3)
Simplify your answer.
Answers
Answer:
if my calculator is not wrong Is 21
3^x = 9x. What is the value of x?
Answers
x = 3
[tex]3^{3} =[/tex] 3 x 3 x 3 = 27
9x = 9 x 3 = 27
The line of best fit for the graph above has the equation
y = -3x + 2. What value does the line predict when x = 9?
Answers
Answer:
y = -25
Step-by-step explanation:
The equation of line is given as :
y = -3x + 2
We need to find the value when x = 9.
Put x = 9 in the given equation. So,
y = -3(9)+ 2
= -27+2
= -25
So, the value of line is equal to -25.
Please help, I need to solve for m. a=f/m
Answers
The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?
Answers
Answer:
Solution in photo