Answers
Answer:
Step-by-step explanation:
Let the equation of the line 'a' is,
y = mx + c
Here, m = slope of the line
c = y-intercept
For line 'a',
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m = [tex]\frac{10}{16}[/tex]
m = [tex]\frac{5}{8}[/tex]
y-intercept = 20
Therefore, equation of the line 'a' is,
y = [tex]\frac{5}{8}x+20[/tex]
Similarly, equation of the line 'b' is,
y = m'x + c'
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m' = [tex]\frac{20}{16}[/tex]
m' = [tex]\frac{5}{4}[/tex]
y-intercept = 0
Therefore, equation of the line is 'b' is,
y = [tex]\frac{5}{4}x[/tex]
1). Line 'b' represents a proportional relationship → FALSE
2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE
3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE
4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE
Related Questions
Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?
Answers
Answer:
253 boxes
Step-by-step explanation:
757/3 = 252.33
The expression (g^2)^4 is equivalent to g^m. What is the value of m?
^ means exponents
Answers
Answer:
m = 8
Step-by-step explanation:
4 x 2
you just have to multiply exponents
What percent of 84 is 42
Answers
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.
Answers
Answer:
Step-by-step explanation:
30
sjdjwkfmwkfkekfmkdekjejwje
Answers
Answer:
I think yes but it could be no. Sorry if I am wrong but it should be yes.
Marvin solved the equation 4(x+5)=88 fill in the blanks
Answers
Answer:
x=17
Step-by-step explanation:
4(x+5) = 88
4x + 20 = 88
4x = 88-20
4x = 68
x = 68/4
x = 17
Answer:
17
Step-by-step explanation:
4(x+5)=88
4x+20=88
4x=88-20
4x=68
4x÷4=68÷4
x=17
Two more than five times a number is less than or equal to 47
WRITE THAT AS AN INEQUALITY. IF YOU DON'T KNOW WHAT THAT IS THIS IS AN EXAMPLE 3g - 4 ≥ 17
Answers
2+5x>47 or 2+5x=47
Ryan's Study Schedule
Subject Subject (Hours)
2
Math
2
3
1
Science
1-
2
1
English
3
1
Social Studies
1
4
What is the closest amount to the hours Ryan spends studying?
7 hours
8 hours
0 5 hours
O 9 hours
Answers
I just need these 4, they should be super easy!! I really need help
Answers
Answer:
1. v = 72
2. b = 8
3. 0 or -2
4. C = -24
Step-by-step explanation:
Hope this helps.. Can I get brainiest
At a Beirut market, oranges are priced at $1.29/KG. Ms. X buys 10 oranges that have a total weight of 4.82 kgs. What is the average price per orange that she pays?
Answers
Answer:
The average price of each orange is $0.62.
Step-by-step explanation:
Given that at a Beirut market, oranges are priced at $ 1.29 per kilo, and Ms. X buys 10 oranges that have a total weight of 4.82 kilograms, to determine what is the average price per orange that she pays must perform the following calculation:
(4.82 x 1.29) / 10 = X
6.21 / 10 = X
0.62 = X
Thus, the average price of each orange is $ 0.62.
Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flower costs $12. How many can she purchase without going over her budget?
Answers
Answer:
only 3
Step-by-step explanation:
To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What are a Type I error and a Type II error in this context?
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.
Type I error: The gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Answers
Answer:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Step-by-step explanation:
Edge 2021
The type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.What are type I and type II errors?
The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, the hypotheses laid down are:
Null hypothesis: H₀ : The proportion of metal that is gold is 75%, Alternate hypothesis: H₁ : The proportion of metal that is gold is less than 75%.Thus, we get:
Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.
Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.
Therefore, the type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.Learn more about type I and type II errors here:
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If the radius is 25 mm, what is the Diameter
Answers
Answer:
7.96
Step-by-step explanation:
The sum of three consecutive odd integers is -39. What is the largest integer?
Answers
Answer:
the sum of three consecutive odd number is less than 54.
5th grade math. correct answer will be marked brainliest
Answers
Answer:
8 1/12 boxes
Step-by-step explanation:
Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.
Jamie, Daniel, and Taylor want apples. Jamie cuts 5 apples into equal-sized pieces. If they all eat the same amount, how many apples will each person eat
Answers
Answer:
1⅔
Step-by-step explanation:
Asking I'd say it's simply 5 apples divided by
the three of them to get 1⅔
Which number line shows a graph of the inequality x > -25?
Answers
Answer:
Step-by-step explanation:
o--------------------------->
[tex]<------------>\\ -25 -24 -23 -22 -21 -20[/tex]
> means an open circle on -25, and a line pointing to the right because it's greater than.
Options C and D number lines show a graph of the inequality x > -25 that lies on the positive side.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We have given a condition we need to find which number line shows a graph of the inequality x > -25.
We can see in the graph that the number line of options 1 and 2 doesn't show the inequality x > -25 because the point lies on the negative side of the number line.
But the number line in the options C and D shows the inequality x > -25.
Learn more about inequality ;
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Taylor has 5 yards of gold ribbon to decorate
8 costumes for the school play. She plans to
use the same amount of ribbon for each
costume. How many yards of ribbon will she
use for each costume?
Answers
what is the slope of the line.
Answers
Answer:
m=3/2 or m=1.5
Step-by-step explanation:
slope formula:
m=(y1-y2)/(x1-x2)
in order to get this we need two points such as (3,0) and (1,-3) which are points on this line. So:
m=(0-(-3))/(3-1)
m=3/2 or m=1.5
If y = 12 when x = 9 find, x when y = 4
Answers
Answer:3
Step-by-step explanation:
12/4=3, 9/3=3
hope it helps
What is the horizontal distance from the origin to the point (8, 1)?
Answers
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
following the x-axis, which is the horizontal line, the distance from the origin (0,0) is 8 units
PLZZZZ HELPPP MEE!!!!!
Answers
Answer:
-60
Explanation:
6x(2x-5) always do what's in the parentheses first
6x(-10)
= -60
Tell whether the ordered pair (-1,3) is a solution of the system of linear equations. y=-7x-4 and y=8x+5
Answers
Answer:
Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.
Step-by-step explanation:
(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4 3 =/ - 8 + 5
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The ordered pair (-1,3) is not the solution of the given system of equations.
What is the System of equations?Inconsistent SystemFor a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of the equation can be found by plotting the equation on the graph. Therefore, the point at which the equation will intersect will the solution of the system of equation.
Since the solution of the system of equation is (-0.6, 0.2), there exists only one single solution for the system of equation. therefore, the (-1,3) is not the solution of the system of equation.
Hence, the ordered pair (-1,3) is not the solution of the given system of equations.
Learn more about System of equation:
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A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.
Answers
Answer:
2.5 mg
Step-by-step explanation:
Given the data:
23 24 23 29 28 26 27 28 26
The sample standard deviation, s
s = sqrt[Σ(x - mean)²] ÷ (n - 1)
Mean, m = ΣX / n
n = 9
Mean = 234 /9 = 26
Using a calculator :
s = 2.236
The margin of error, MOE
MOE = Tcritical * s/sqrt(n)
Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536
MOE = 3.35536 * 2.236/sqrt(9)
MOE = 3.35536 * 2.236/3
MOE = 3.35536 * 0.7453333
MOE = 2.50086
MOE = 2.5
Ecologists wanted to estimate the mean biomass (amount of vegetation) of a certain forested region. The ecologists divided the region into plots measuring 1 square meter each, and they selected a random sample of 9 plots. The mean biomass of the 9 plots was 4.3 kilograms per square meter (kg/m2) and the standard deviation was 1.5 kg/m2 . Assuming all conditions for inference are met, which of the following is a 95 percent confidence interval for the population mean biomass, in kg/m2?
A) 4.3±1.96 (underroot 1.5/3).
B) 4.3±1.96 (1.5/3).
C) 4.3 ± 2.306 (underroot 1.5/9).
D) 4.3±2.3064 (1.5/9).
E) 4.3+2.30/15 (1.5/3).
Answers
Answer:
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Confidence interval:
The confidence interval is the sample mean plus/minus the margin of error. So
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex]
The correct answer is given by option c.
PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST!!!!!
Answers
Answer:
The average cost of a cat's annual visit is about $23.71 less at A New Leash on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff Stuff Animal Hospital.
Explanation:
As you can see from the data and graph given, the Mean is essentially the average cost and $101.13 (New Leash on Life) is $23.71 less than $121.84 (No Ruff Stuff Animal Hospital).
Please help fast! Will give brainliest to first correct answer!
Answers
Answer:
1. D
2.C
3.B
4. A
Step-by-step explanation:
:D
Answer:
1. the top one is connected to the bottom
2. is connected to the third one
3. is connected to the second one
4. is connected to the first
Step-by-step explanation:
look below
SOMEBODY HELP ME ASAP PLSSSS
Answers
Answer:
A
Step-by-step explanation:
When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.
3[tex]\sqrt{5}[/tex] is approximately 6.71.
6[tex]\frac{1}{4}[/tex] is 6.25
6.55 is, well 6.55.
From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.
First one to answer this gets BRAINLIEST no cap. (Look at the pic)
Answers
Answer:
36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The formula to solve this is a+b)/2*h
4+5=9
9/2=4.5
4.5*8= 36
A car is driving towards home at 0.5 miles per minute. If the car is 4 miles from home at t=0 , which of the following can represent the distance that the car has left to drive? Explain your reasoning.
A. 0.5t
B. 4+0.5t
C. 4-0.5t
D. 4(0.5t)
Answers
The distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.
What is speed?
The speed is the rate of change of position of an object in any direction. Speed tells us how fast or slow an object travels and describes the distance traveled divided by the time taken to cover the distance.
For the given situation,
The speed of the car,S = 0.5 miles per minute
Let the time be t.
Let the distance be D.
The distance between the car and the home = 4 miles.
The formula that relates speed, distance and time is
[tex]Speed=\frac{Distance}{time}[/tex]
⇒ [tex]Distance=(Speed)(time)[/tex]
Here initially at t=0, the car is 4 miles apart from the home and it travels at 0.5 miles per minute, so the equation can be represented as
⇒ [tex]D=4(0.5t)[/tex]
Hence we can conclude that the distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.
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