use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any [tex]two[/tex]  [tex]points[/tex]on the [tex]trend[/tex] line

[tex](x_1,y_1) = (30,40)[/tex]

[tex](x_2,y_2) = (80,70)[/tex]

[tex]y = 0.6x + 22[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{70 - 40}{80-30}[/tex]

[tex]m = \frac{30}{50}[/tex]

[tex]m = 0.6[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.6(x - 30) + 40[/tex]

[tex]y = 0.6x - 18 + 40[/tex]

[tex]y = 0.6x + 22[/tex]

Solving (b): y, when [tex]x = 21[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]x = 21[/tex]

[tex]y = 0.6 * 21 + 22[/tex]

[tex]y = 12.6 + 22[/tex]

[tex]y = 34.6[/tex]

Solving (c): x when [tex]y=150[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]y=150[/tex]

[tex]150 = 0.6x + 22[/tex]

Collect like terms

[tex]0.6x = 150 -22[/tex]

[tex]0.6x = 128[/tex]

Solve for x

[tex]x = \frac{128}{0.6}[/tex]

[tex]x = 213.3[/tex]

Use The Scatter Plot And The Trend Line To Show Answer A-c. Write An Equation For The Trend Line. Predict

Related Questions

Which kind of chart/graph should be used
to represent a turtle's movement over the
course of an hour?
A. bar graph
B. pie chart
C. line graph
D. pictograph

Answers

A line graph because it shows you the increasing and decreasing rates

a shop sells 3 types of boots ( football , rugby and hiking) sales are usually in the ratio of 6 : 2 : 3 last month , 24 pairs of boots were sold . How many boots altogether last moth

Answers

Answer:

44

Step-by-step explanation:

First, let's sum up the ratio.

Sum the ratios = 6 + 2 + 3 = 11

We can make y the total number of boots sold together last month

If 24 pairs of boots were sold, then the equation would be

6/11 × y = 24

Cross multiply

6 × y = 24 × 11

6y = 264

y = 44

Therefore, total number of boots sold altogether last month were 44

Factor the Expression Completely: -14a+56b+84c-28a+42

Answers

Answer:

14(−3a+4b+6c+3) is the answer

On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?

HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.

Answers

Not sure if this is right but I would multiply the 3.75 inches by 50=187.5

Stephen was thinking of a number. Stephen adds 2, then divides by 7 to get an answer of 11. What was the original number?

Answers

Answer:

75

Step-by-step explanation:

Let x = number thought of

(x + 2) / 7 = 11

multiply both sides of the equation by 7

11 x 7 = x+ 2

collect like terms

77 - 2 = x

x = 75

i need an ace to help me with math​

Answers

Answer:

ace

Step-by-step explanation:

Define Sustainable development.​

Answers

Answer:

economic development that is conducted without depletion of natural resources.

Step-by-step explanation:

A file is 261 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

**Will mark brainliest**
Find the Volume of the Cylinder. Use 3.14 for pi. Round your answer to the nearest whole number.

Answers

Answer:

V≈67958.90

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]V=\pi r^{2}h\\V=\pi *26^{2} *32[/tex]

Reema bought pencils for school in August, she gave them to her friends. She used
of what she had in the first month of cheat She
now had 3 pencils left
How many pencils did she buy in August?

Answers

Answer:

Reema bought 24 pencils in august.

Step-by-step explanation:

Simplify.
16 3/8 - 6 7/8

Answers

19/2 decimal for 9.5

Hi how to do quetion3?​

Answers

i cant really read it that well D:

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

what os the quotient of -8x^6/4x^-3

Answers

Answer:

-2x^9

Step-by-step explanation:

-2x^6-(-3) = -2x^9

The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.


(a, b) ≠

Answers

Answer:

[tex](a,b) \ne (7,-9)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = ax + b[/tex]

[tex]Interval = [0,4][/tex]

[tex]Area = 16[/tex]

Required

[tex]a, b \ne[/tex]

The area is calculated as:

[tex]Area = \int\limits^a_b {f(x)} \, dx[/tex]

So, we have:

[tex]Area = \int\limits^4_0 {(ax + b)} \, dx[/tex]

Integrate

[tex]Area = (\frac{ax^2}{2} + bx)|\limits^4_0[/tex]

Expand

[tex]Area = [(\frac{a*4^2}{2} + b*4)] - [(\frac{a*0^2}{2} + b*0)][/tex]

[tex]Area = [(\frac{a*4^2}{2} + b*4)][/tex]

[tex]Area = 8a+ 4b[/tex]

This gives:

[tex]8a + 4b = 16[/tex]

Divide through by 4

[tex]2a + b = 4[/tex]

From the list of options, the possible values of a and b are:

[tex](a,b) = (-2,8) \to 2 * -2 + 8 = 4[/tex]  

[tex](a,b) = (1,2) \to 2 * 1 + 2 = 4[/tex]

[tex](a,b) = (3,-2) \to 2 * 3 -2 = 4[/tex]

[tex](a,b) = (5,-6) \to 2 * 5 -6 = 4[/tex]

The odd one is:

[tex](a,b) = (7,-9) \to 2 * 7 -9 = 5[/tex]

Hence:

[tex](a,b) \ne (7,-9)[/tex]

Find the area and circumference of the circle.
B
4. Area =
5. Circumference

Answers

Answer:

Area: 200.96

Circumference: 50.24

Step-by-step explanation:

We know r (radius)=8

A=πr^2

A=π8^2

A=64π or 200.96

C=2πr

C=2π(8)

C=16π or 50.24

Triangle ADE is proportional to Triangle ABC. Given the side lengths in the diagrams, what is the length of AD?



Group of answer choices

11 in

6 in

8.75 in

8 in

Answers

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

square root 33 units
square root 65 units
33 units
65 units

Answers

By applying Pythagoras theorem,we get

(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(7)^2+(4)^2

=>(h)^2=49+16

=>(h)^2=65

=>h=√65

Therefore, option B is correct,i.e.,√65

Answer:

Square root of 65 units

Step-by-step explanation:

This is the correct answer

Q1: Which transformation maps trapezoid 1 to trapezoid 2?
Q2: Which transformation could not map trapezoid 1 to trapezoid 8?
Q3: Which transformation maps trapezoid 2 to trapezoid 6?

options:

reflection
rotation
translation

Answers

Answer:

Rotation

Step-by-step explanation:

Rotation is the only one where you wouldnt be able to have the same points on the graph. Reflection and Translation can both place trapazoid 1 in the place of trapizoid 8.

help me with this math question please I'm giving away brainliests ​

Answers

Answer:

Step-by-step explanation:

Given function is,

[tex]f(x)=\frac{2x^2+6x}{-4x^2+8x}[/tex]

       [tex]=\frac{2x(x+3)}{-4x(x-2)}[/tex]

This function is not defined at "x(x - 2) = 0"

Therefore, for the values of x = 0 and 2, given function is not defined.

Vertical asymptote → x = 2 [Denominator = 0]

For Horizontal asymptote → [tex][\frac{2x^2}{-4x^2} =-\frac{1}{2}][/tex]

Therefore, horizontal asymptote → y = [tex]-\frac{1}{2}[/tex]

x-intercept,

For f(x) = 0,

Numerator of the function = 0

2x² + 6x = 0

2x(x + 3) = 0

x = -3

Therefore, x - intercept → (-3, 0)

For y-intercept,

x = 0

f(0) = 0

Therefore, graph has no y-intercept.

For holes on the graph,

Since, function is not defined at x = 0,

f(x) = [tex]\frac{(x+3)}{-2(x-2)}[/tex]

f(0) = [tex]\frac{(0+3)}{-2(0-2)}[/tex]

     = [tex]\frac{3}{4}[/tex]

Therefore, hole on the graph → [tex](0, \frac{3}{4})[/tex]

Which number line represents the inequality? 34>x

Answers

Answer:

op 2

Step-by-step explanation:

the Answer is b

hope this helps

What is the equation of the line with a slope of 1/4 and y-intercept of -2?

Answers

Answer:

y=1/4x+2

Step-by-step explanation:

The formula is y=mx+b, where m is the slope and b is the y-intercept

[tex]\sqrt{56x^2}[/tex]

Answers

Answer:

2( the thingy and inside) 14x

Answer:

2x square root 13!!

Explanation:

Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was complete. How long would it take each plumber to do the whole job by himself if it is known that the first plumber would take 5 more hours to finish the job than the second plumber?

Answers

Answer: https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.hide_answers.1.html

Step-by-step explanation:

here use this link above to answer your question

What is the surface area of the pyramid?

Answers

Answer:

56 inches squared

Step-by-step explanation:

(4x6) ÷ 2 = 12

12 x 4 = 48

4 x 4 = 16

48 + 16 = 56

20 and 1/2 x 10 1/4 x 12

Answers

Answer:

2521.5

Step-by-step explanation:

20.5 · 10.25 · 12

2521.5

how many students were surveyed, how many students ate lunch, how many students ate lunch and breakfast, What percent of the students ate lunch and skipped breakfast, What percent of the students ate breakfast. please help

Answers

Answer:

Look its easy  75% when to eat lunch and the 25% skipped because if they were a large amount of them it must be 75% ur welcome

Step-by-step explanation:

Oh the answer is surveyed

i need help with this problem

Answers

Answer:

evaluate parenthesis first:

67/100(consider 67% out of 100) x 119 = 79.73

Answer:

79.73

Step-by-step explanation:

First, it would be finding 67% of 119

Then we find 10% = 11.9   and 1% = 1.19

The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33

Then add 71.4 and 8.33 to get the answer of 79.73.

3+(-4)-8(-1) can you help me

Answers

Answer:

7

Step-by-step explanation:

An automobile travels 471 miles in 8 hours.
What is the average speed of the automobile to the nearest mile per hour?
A. 45 mph
B. 50 mph
C. 55 mph
D. 60 mph
O E 65 mph

Answers

Answer: D

I hope this helps.

Billy sells hot apple cider at the Hendersonville Apple Festival each year. For a batch of cider that makes 25 servings, Billy uses 2 tablespoons of cinnamon.
How much cinnamon is in each serving of cider?

Answers

Answer:

2/25

we need to divide the amount of cinnamon with in the 25 servings to see how much each serving contains

1) distribute 2 tbs into 25 serving

2)equation will be 2/25

3)answer should be 2/25

Step-by-step explanation:

Answer:

2/25 tablespoons

Hope this helps:)

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