Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
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In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014, let the random variable C represent the number of households in the sample that had a computer. What are the mean and standard deviation of C ?
Answer:
The mean of C is 170 households
The standard deviation of C, is approximately 5 households
Step-by-step explanation:
The given parameters are;
The percentage of households in the United States that had a computer in 2014 = 85%
The size of the randomly selected sample in 2014, n = 200
The random variable representing the number of households that had a computer = C
Therefore, we have;
The probability of a household having a computer P = 85/100 = 0.85
Let
Therefore;
The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;
μₓ = 200 × 0.85 = 170
The mean of C = μₓ = 170
The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5
Therefore;
The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05
The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)
The mean and the standard deviation of C are 170 and 5.05 respectively
The given parameters are:
[tex]\mathbf{n = 200}[/tex] -- the sample size
[tex]\mathbf{p = 85\%}[/tex] -- the proportion of household that had a computer
(a) The mean
This is calculated as:
[tex]\mathbf{\bar x = np}[/tex]
So, we have:
[tex]\mathbf{\bar x = 200 \times 85\%}[/tex]
[tex]\mathbf{\bar x = 170}[/tex]
(b) The standard deviation
This is calculated as:
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{170 \times (1 - 85\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{170 \times 15\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{25.5}}[/tex]
Take square roots
[tex]\mathbf{\sigma = 5.05}[/tex]
Hence, the mean and the standard deviation of C are 170 and 5.05 respectively
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Which is the "The sum of 4 times a number and 7" as an algebraic expression?
A)4(x+7)
B)(4.7)+x
C)4-7+x
D)4x+7
help pleaseeeeeeeeee
Answer:
C.
Step-by-step explanation:
Use synthetic division to solve (2x^3+4x^2-35x+15)/(x-3). What is the quotient?
Answer:
the quotient is 2x^2+10x-5
WILL GIVE BRAINLY IST TO WHOEVER answers correctly and QUICK
Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Enter your answers in the boxes to complete Lucinda's proof.
Since KLMN is a parallelogram and a parallelogram's opposite sides are parallel and congruent, the coordinates for M are (4x,__).
In △KMN, the length of the base is ___ and the height is ___. So an expression for the area of △KMN is ___.
In △KLM, the length of the base is 3x and the height is 2y. So an expression for the area of △KLM is ___.
Comparing the area of the two triangles that are formed by a diagonal of the parallelogram shows that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Answer: Do you have a picture or a diagram
Step-by-step explanation:
Not the answer but I need help .. it’s the same question but I’ve added the diagram if anyone can help?
What is the slope of the line that passes through the points ( -4, 1) and ( -4, -10)?
(Brainliest for correct answer)
Answer:
the correct answer is x=-4
Step-by-step explanation:
Jesse and Jonah are making party favors. Jesse has made 108 favors and Jonah has made x number of favors. If they have made a total of 550 favors, how many has Jonah made?
HELP PLEASEE
Erica went to the amusement park and purchased tickets. She bought ferris wheel tickets and roller coaster
tickets. She bought a total of 12 tickets for $36.50. The ferris wheel tickets cost $2.75 each and the roller
coaster tickets cost $3.25 each. Find the number of ferris wheel tickets and roller coaster tickets that Erica
bought.
HELPPP PLEASE
Answer:
42.5
Step-by-step explanation:
Mushrooms are healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for $8.75. Marco buys a 3.75- oz container of mealworms for $9.75. Which container is a better buy?
Answer:
Adam's container
Step-by-step explanation:
Given
Adam
[tex]Weight = 3.5\ oz[/tex]
[tex]Amount = \$8.75[/tex]
Macro
[tex]Weight = 3.75\ oz[/tex]
[tex]Amount = \$9.75[/tex]
Required
Determine the better buy
First, we need to determine the unit cost per oz of each
i.e.
[tex]Unit\ Cost = \frac{Amount}{Weight}[/tex]
For Adam:
[tex]Unit\ Cost = \frac{8.75}{3.5}[/tex]
[tex]Unit\ Cost = 2.5[/tex]
For Marco:
[tex]Unit\ Cost = \frac{9.75}{3.75}[/tex]
[tex]Unit\ Cost = 2.6[/tex]
The better buy of both is the one with the smaller unit cost.
Since 2.5 < 2.6, we can conclude that Adam's container is a better buy
B
15
C
А.
Find the length of "a"using
the Pythagorean Theorem.
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve for the missing length a.
Step 2: Define
hypotenuse c = 15
leg b = 9
leg a = ?
Step 3: Find missing length a
Substitute in variables: a² + 9² = 15²Isolate a term: a² = 15² - 9²Exponents: a² = 225 - 81Subtract: a² = 144Isolate a: a = ±12Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.
∴ a = 12 is our final answer.
Please Help, this is math problems
Answer:
1/8 for the first one then 1/6 for the second one
Step-by-step explanation:
Underwood Farms had 242 pumkins at the start of November . 12 visitors brought 2 pumkins wach by November 10th. How many pumkind does the farm have left?
Answer:
Total pumpkins left = 254
Step-by-step explanation:
Total pumpkins available = 242
12 visitors brought 2 pumkins each by November 10th.
Total pumpkins brought = 12 × 2
= 24 pumpkins
How many pumkind does the farm have left?
Total pumpkins left = Total pumpkins available + total pumpkins brought
= 242 + 12
= 254
Total pumpkins left = 254
Pleas help meh!!I really need help!!!
Answer:
360ft^2
Step-by-step explanation:
We know that the height is always 8 ft. So lets find the area of two of the 4 walls.
We multiply by 2 because there are two of the same wall.
2(8ft x 10ft) = 160ft^2
Now lets find the area of the other wall.
2(8ft x 15ft) = 240ft^2
Now we add it up
160 + 240 = 400
400ft^2
But wait! We aren't done yet! We still have to subtract out the door and window which is 60ft^2.
400 - 60 = 360
360ft^2
Consider Brainliest! Hope I helped!
Mr. Au went to eat at McDonald's this week. On Monday, he ate some hamburgers. On Tuesday, he ate nothing at McDonald's. On Wednesday, he ate four more hamburgers than the number that he ate on Monday. On Thursday, he ate nothing at McDonald's. On Friday, Mr. Au ate three times as many hamburgers as he ate on Wednesday. Mr. Au ate a total of 26 hamburgers that week. How many hamburgers did he eat each day?
Answer: See explanation
Step-by-step explanation:
Let the number of hamburger he ate on Monday be represented by x.
Monday = x
Tuesday = 0
Wednesday = x + 4
Thursday = 0
Friday = 3(x + 4)
Total hamburgers ate = 26
To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:
= x + 0 + x + 4 + 0 + 3(x+4) = 26
2x + 4 + 3x + 12 = 26
5x + 16 = 26
5x = 26 - 16
5x = 10
x = 10/5
x = 2
Monday = x = 2 hamburgers
Tuesday = 0
Wednesday = x + 4 = 2 + 4 = 6 hamburgers
Thursday = 0
Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers
Please answer these questions for 8th Grade Algebra! First-person to answer will be marked as brainiest! Worth lots of points!
1. x<=20
2. k<0
3. d<-3
4. m<=11
5. a>=3
6. 6<-5
This should help
Elisa bought 5 bracelets for a total of $25.95. If the bracelets were the same cost, about how much did each bracelet cost?
$4.00
$125.00
$5.00
$5.19
Answer:
D. $5.19
Step-by-step explanation:
can someone help thank you!
Answer:
Step-by-step explan
The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the larger polygon.
Answer:
42sq
Step-by-step explanation:
5:7
30 sq: x sq
30/5=6 sq for 1 of the ratio
6*7=42 sq for 7 of the ratio
FIRST TO ANSWER WITH IT CORRECT GETS 50 POINTS AND A BRAINLIST THING
Answer:
2. 36
3. 8
4. 64 - 32
5. 7
I hope that this helps you, I'm not sure if number 4 is correct, but I am 100% sure that the rest are correct. I did the math for all of the questions and they should all be correct. I hope you have a wonderful evening!
Find the value of k so that the remainder is -5 for (3x+kx^2-7x+10) / (x+3).
5
10
3
-8
60
Answer:5
Step-by-step explanation:
What value of x is in the solution set of 9(2x + 1) < 9x – 18?
Answer:
-3 > x
Step-by-step explanation:
Multiply 2x and 1 by 9. You have 18x + 9 < 9x - 18.Add 18 to 9. You are adding because it is the opposite of subtraction, so it cancels out. You now have 18x + 27 < 9x.Subtract 18x from 9. There is no addition sign in front of the 18x, but it's basically implied. You now have 27 < -9x.Divide both sides by -9. When you divide by a negative, the inequality sign flips. You now have -3 > x.− 3/4 is a rational number, but not an integer. Explain why below.
− 3/4 is not an integer but a a rational number.
Why is this correct?A rational number is simply a number that can be written as a fraction with both the numerator and denominator being integers (where the denominator's not zero). For instance lets consider 3/4 as an example. It can be expressed as the fraction 3/4, where 3 and 4 are both integers.
On the hand an integer is a number that is not, in the form of a fraction. In the case of 3/4 it cannot be classified as an integer since it represents a fraction, than a whole number.
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(ANSWER FAST PLSS)In AABC, what is the measure of angle B?
B
(2x)
(x+2).
140
A
046
0480
0700
092
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answer:
The Value of x would be 3
Step-by-step explanation:
Answer is A
Answer:
A. 3
Step-by-step explanation:
Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.
6x + 3x - x + 9 = 33
Answer: x=3
Step-by-step explanation:
6x + 3x - x + 9 = 33
Combine like terms:
6x+3x-x=8x
The equation is now 8x+9=33
Subtract 9 on both sides:
8x+9-9=33-9
8x=24
Divide 8 on both sides:
8x/8=24/8
x=3
Read and understand the situation below, and make a complete plan to solve Mang Jose’s problem.
Mang Jose wants to paint the exterior of his house. He needs to know how many gallons of paint he would need. So, he asks his friend Juan to help him, according to Juan one (1) gallon of paint can cover an area of 250 square feet. Help Mang Jose prepare a budget for his project if his house exterior is 2700 square feet. Do a research on the different prices of one (1) gallon of paint depending on its brand name and choice of colors. Make a proposal budget for three (3) different colors of paint with its corresponding brand name.
Explanation:
Let's assume these are the different prices of one (1) gallon of paint for three different brand name and choice of colors:
1. Delux brand: Red = $19 per gallon
2. Golden sun: White = $15 per gallon
3. Luxury: Green = $20 per gallon.
Based on the data above, Mang Jose's budget could be drafted:
1. if he chooses the Delux brand/color red, then he will need approximately 11 gallons of the paint (2700/250 square fit) = 10.8, which would cost = $209 (11*$19).
2. if he chooses the Golden sun brand/color white then he will need approximately 11 gallons of paint (2700/250 square fit) = 10.8, which would cost = $165 (11*$15).
3. if he chooses the Luxury brand/color green then he will need approximately 11 gallons of paint (2700/250 square fit) = 10.8, which would cost = $220 (11*$20).
please hurry
making it 18 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.
The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases.
The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
B.) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.
Good luck with the test! :)
The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.
What are asymptotes?"An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity."
"The curves visit these asymptotes but never overtake them. The method opted to find the horizontal asymptote changes involves comparing the degrees of the polynomials in the numerator and denominator of the function. If both the polynomials have the same degree, divide the coefficients of the largest degree terms."
From the equation, y = 11.95x + 25
And from the given graph it is clear that the horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.
Hence, A is the correct option.
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find the value of 3v - 10 given that -2v + 4 = 8
Answer:
-16
Step-by-step explanation:
v=-2
I found this because since it is given that -2v+4=8; If v=-2 then the equation is true, because -2(-2) + 4 = 8. So since v=-2, plug in -2 into v of 3v-10; which would be (3(-2))-10, which is equal to -16.
ILL GIVE Brainliest
find the area of the polygon
Answer:
27.5 units^2
Step-by-step explanation:
Total area = Area of triangle ILH + Area of parallelogram JKLI
Area of triangle ILH
= 1/2 * b * h
= 1/2 * 5 * 5
= 12.5 units^2
Area of parallelogram JKLI
= bh
= 3 * 5
= 15 units^2
Total area
= Area of triangle ILH + Area of parallelogram JKLI
= 12.5 + 15
= 27.5 units^2