Answers
Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
What is the Equation that Represents a Linear Graph?If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.
The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.
We would find the following:
Slope (m) = chnage in y/change in x = unit rate.y-intercept (b) = the initial value or the vaue of y when the value of x is 0.Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
Learn more about linear equation on:
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Answer:
Here you go
Step-by-step explanation:
Just use a slope calculator
Related Questions
2. When an adult is physically active, suppose the amount of water they will consume is normally distributed with an average of 20 ounces of water with a standard deviation of 7 ounces. If 10 adults are physically active, what is the probability that the average water consumed by them is less than 18 ounces? (note that we are working with a sampling distribution in this question). Report to 5 decimal positions
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For the population, the mean and the standard deviation are, respectively, given by [tex]\mu = 20, \sigma = 7[/tex].
For samples of n = 10, the standard error is given by:
[tex]s = \frac{7}{\sqrt{10}} = 2.2136[/tex]
The probability that the average water consumed by them is less than 18 ounces is the p-value of Z when X = 18, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{18 - 20}{2.2136}[/tex]
Z = -0.9.
Z = -0.9 has a p-value of 0.18406.
0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Find all the common factors of 8 and 12.
A) 2, 4
B) 1, 2, 4
C) 1, 2, 4, 8
Answers
Answer:
B is the answer
Step-by-step explanation:
Hope it helps.
It takes _____________ for the minute hand to travel from one number to the next.
A) 10 minutes
B) 15 minutes
C) 1 minute
D) 5 minutes
Answers
Answer:
D)
Step-by-step explanation:
Because -12 to 1 is 5 min.
Answer:
it takes five minutes for the minute hand to travel from one number to the next
Step-by-step explanation:
5
Find the edge length of the cube. 0.064m\
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The length would be 0.4
Can someone help me solve this please, I'm stuck.
Answers
The expression (3a + 2b)^7 is a binomial expression;
The coefficient of the fourth term is 15120
How to determine the coefficient fourth term?The equation is given as:
(3a + 2b)^7
The above expression is a binomial expression;
Assume the expression is:
(x + y)^n
The equation of the expansion is:
[tex](x + y)^n = ^nC_r * x^{n-k} * y^k[/tex]
When the expression is expanded, the parameters of the fourth term are
n = 7
r = 4
x = 3a
y = 2b
So, we have:
(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4
Evaluate each factor
(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4
Evaluate the powers
(3a + 2b)^7 = 35 * 27a^3 * 16b^4
Evaluate the product
(3a + 2b)^7 = 15120a^3b^4
The coefficient of the above expression is 15120
Hence, the coefficient of the fourth term is 15120
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please answer this question
Answers
Can you help me out?
Answers
1) Unanswered (Sorry)
2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]
3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]
Which of the following shows the correct solution steps and solution to 7x- 4 = -182 7x - 4 = -18 71 - 4+4= -18 + 4 72 = -14 A. 72 -14 7 7 = -2 70 – 4= -18 72 - 4+4= -18 + 4 70 = -14 7x - 14 -7 -7 B. = 2
Answers
Answer/Step-by-step explanation:
7x- 4 = -182
Step:
Add 4 to both sides
7x - 4 + 4 = -182 + 4
Simplify
7x = -178
Divide both sides by 7
7x/7 = -178/7
Simplify
x = -178/7
Decimal form = -25.4285714286
~lenvy~
Answer:
x = -178/7
Step-by-step explanation:
Given us that:
Which of the following shows the correct solution steps and solution to 7x- 4 = -182
Thus, the steps are:
Adding 4 to both sides
7x - 4 = -182
+4 +4
------------------------
7x = -178
Divide both sides by 7
7x/7 = -178/x
Simplify
x = -178/7
Solution - x = -178/7
[RevyBreeze]
A ladder reaches a window 30ft above the ground and the foot of the ladder is 16ft from the wall.How long is the ladder?
Answers
A box has length 3 ft, width 5 ft, and height 2 ft.
What is the volume?
cu ft
Answers
Answer:
30 ft.³
Step-by-step explanation:
3ft. × 5ft. × 2ft. = 30 ft.³
Please rate!! I hope this helps!!
Which of the following equations are true for the number 5? (Select all that apply)
a 4 ÷ ⬜ = 4/5
b ⬜ ÷ 1/5 = 25
c 1/5 = ⬜ ÷ 5
d 4 ÷ ⬜ = 1/5
Answers
Answer:
A. True
B. True
C. False
D. False
Which function includes the pony (0, 9) on its graph?
Answer choices:
A: x=9
B: y=9x^2
C: y= √x + 3
D: y= -1/3x + 9
Answers
Answer:
D is d because when You have to do they graph You have multiplicar
May someone please help me on this one
Answers
the greatest will be + 567
then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99
How can you best use the word protrude in an art related sentence?
A. A shelf protrudes into a wall
B. A gravestone protrudes from the ground.
C. The wires from the computer protrude behind the desk.
D. A lollipop stick protrudes into your mouth.
Answers
Answer:
B. A gravestone protrudes from the ground.
Step-by-step explanation:
To protrude means to stick out. All other answers describe the object behind or inside something.
Roberto’s science grade is calculated using a weighted average quizzes are worth 25% homework is worth 10% unit tests are worth 30% and labs are worth 35%. Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit test, and 94% on his labs. What is Roberto’s final science grade?
93.3%
93.9%
94.8%
95.3%
Answers
Answer:
the answer should be 93.9% let know if in wrong
Roberto's science grade as per weighted average is equals to 93.9%.
What is average?
" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."
Formula used
Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n
W= weighted average
n = number of terms to be averaged
w = weight applied to x values
x = data values to be averaged
According to the question,
Given,
Weight applied to quiz 'w₁' = 25%
Weight applied to homework 'w₂' = 10%
Weight applied to to unit tests 'w₃'= 30%
Weight applied to labs 'w₄' = 35%
Average on quiz Roberto earned 'x₁'= 94%
Average on homework Roberto earned 'x₂'= 94%
Average on unit test Roberto earned 'x₃'= 94%
Average on labs Roberto earned 'x₄' = 94%
Substitute the values in the formula we get,
Weighted average
= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)
= (2350 +990 + 2760 + 3290) / 100
= 9390 / 100
=93.9%
Hence, Roberto's science grade as per weighted average is equals to 93.9%.
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Simplify -7 1/8 - (-9 1/2)
Answers
Answer:
Convert 7 1/8 to an improper fraction.
Simplify 7 * 8 to 56
-56 + 1/8 - (-9 1/2)
Simplify 56 + 1 to 57
-57/8 - (-9 1/2)
Convert 9 1/2 to an improper fraction.
-57/8 - (-9 * 2 + 1/2)
Simplify 9 * 2 to 18
-57/8 - (-18 + 1/2)
Simplify 18 + 1 to 19
-57/8 - (-19/2)
Simplify brackets
-57/8 + 19/2
Find the LCD
LCD = 8
Make the denominators the same as the LCD
-57/8 + 19 * 4/2*4
Simplify. Denominators are now the same
-57/8 + 76/8
Join the denominators
-57 + 76/8
Simplify
19/8
Convert to a mixed fraction.
2 3/8
Your answer is D.
Step-by-step explanation:
A baker has 3 pounds of dried fruit. Each batch of a recipe she is making uses 1/2 pound of the fruit. How many batches can she make?
Answers
Aaron bought 14.6 gallons of gas for $1.98 per gallon. How much did he spend on gas?
Answers
Answer:
= 29$ (to the nearest dollar)
Step-by-step explanation:
14.6 gallons of gas
1 gallon = 1.98$
14.6 gallons = 14.6 × 1.98$
= 28.90800$
= 29$ (to the nearest dollar)
Find a function whose graph is a parabola with vertex (4,-5) and that passes through the point (2, 3).
Answers
Answer:
4 ,-5
Step-by-step explanation:
I hope it's helpful for youmitchell has a small bag with 12 m& ms
Answers
Answer:
You may want to add more context to this question.
Step-by-step explanation:
The number 3 is a factor of _________.
A) 4
B) 8
C) 12
Answers
=================================================
3 is a factor of 12 because 12 is evenly divisible by 3
4 and 8 are not evenly divisible by 3.
the key word here is evenly (without a remainder)
===================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
A jogger burned 96 calories during 8 minutes of jogging. At that rate, how
many calories would be burned during 14 minutes of jogging?
Answers
Proportions are created when we set two ratios equal to each other. They help us convert between rates.
Example:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}[/tex]⇒ In this example, we are solving for x.
⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?
To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]
Solving the QuestionWe're given:
8 minutes of jogging = 96 calories burned14 minutes of jogging = ? calories burnedSet up a proportion:
[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]
⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.
Cross multiply:
[tex]8x=14*96\\8x=1344\\x=168[/tex]
AnswerTherefore, the jogger would burn 168 calories in 14 minutes of jogging.
Caleb placed 3 yellow balls and 4 red balls in a row.
How many visually distinct rows are possible?
A)210
B)70
C)144
D)35
Answers
Answer:
I think it's C)144. because I think it's C
Caleb placed 3 yellow balls and 4 red balls in a row. The possible visually distinct rows are 144.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
It is given that Caleb placed 3 yellow balls and 4 red balls in a row.
So, visually distinct rows are possible
= 4 x 3 x 2 x 3 x 2
= 144
Thus, The possible rows are 144.
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Bobs store is making money selling products and he has $200 in his bank account. He saves $50 every week. How much money does bob have after 10 weeks.
W = Weeks
T = Total
Answer in equation
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$50 x 10w = $500
He originally has $200 in his account, so you add $200 and $500 together.
Find the value of x.
Answers
Answer:
Maybe 8
Step-by-step explanation:
because its the same side
heres my question: A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.
4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data. um so yea thats my question, if u have answers to it please reply to me! thanks! :)
Answers
As 12 visitors went down a water slide 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11 and 1 times, the average number of times each visitor went down is 11.41.
AveragesTo reach that answer, the following calculation must be performed:
(4 + 22 + 16 + 10 + 11 + 20 + 20 + 12 + 6 + 3 + 11 + 1) / 12 = X137 / 12 = X11.41 = XTherefore, each visitor went down, on average, 11.41 times.
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find the area of the blue shaded region
Answers
Answer:
160 cm²
Step-by-step explanation:
Hello!
We can find the area of the blue shaded. region by finding the area of the rectangle, and subtracting the area of the triangle.
Area of rectangle:
Find the area of the rectangle
A = Base x HeightA = 10 x 20A = 200The units are cm so the area is 200 cm²
Area Triangle:
Find the area of the triangle
A = 0.5( Base x Height)A = 0.5(10 * 8)A = 0.5(80)A = 40The units are cm so our area is 40 cm²
Area Shaded:
Now we can simply subtract the triangle area from the rectangle.
200 cm² - 40 cm²160 cm²Does anyone mind giving me a hand answering this question?
Answers
Answer:
A. x = 4
B. ∠C = 80°
Step-by-step explanation:
A.The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...
140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°
31x +416° = 540° . . . . . . collect terms
31x = 124° . . . . . . . . . . subtract 416°
x = 4
__
B.The measure of angle C is found by substituting the value of x into the given expression for angle C.
(16x +16)° = (16(4) +16)° = 80°
Angle C is 80°.
_____
Additional comment
It can be useful to remember that the sum of interior angles of an n-gon is ...
(180°)(n -2)
This can be derived from the fact that the sum of exterior angles is always 360°.
These relations apply to convex polygons. YMMV when there are reflex angles or when sides cross each other.
A banshees s dD dsbshshshs shshshshshah
Answers
Please don't spam the questions.
Step-by-step explanation:
Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging (in millions) from the years 2000 to 2009 is given by the equation y=x+22, where x is the number of years after 2000.
a. Use this equation or a graph of it to complete the ordered pair (4, ).
b. Write a sentence explaining the meaning of the answer to part (a).
c. If this trend continues, how many joggers will there be in 2021 ?
a. Complete ordered Pair
(4, )
Answers
Answer:
a. (4, 26)
b. The number of people jogging in 2004 was 26 million.
c. 43 million
Step-by-step explanation:
To complete the ordered pair, use the given first value of the pair as the value of the variable in the equation. Evaluate the equation to find the second value of the ordered pair:
a.y = x +22
y = 4 +22 = 26
The ordered pair is (4, 26).
__
b.The ordered pair tells you (years after 2000, number of joggers in millions). That means the ordered pair (4, 26) tells you 4 years after 2000, there were 26 million joggers.
__
c.21 years after 2000, the value of x is 21, so the value of y is ...
y = 21 +22 = 43
There will be 43 million joggers in 2021.