A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table shows the data:


Number of hours spent studying
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score on science test
(y) 57 62 67 72 77 82 87 92 97


Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

Answers

Answer 1

Answer: From the table we see there is a relation between x and y values

Every step change of x = 0.5, every step change of y = 2

This relation is linear. The formula for linear function is:

y = mx + b

Using to pairs of points to get the slope and y-intercept

(0, 60) and (1, 64)

Calculating the slope:

m = (64 - 60)/(1 - 0) = 4/1 = 4

y - intercept is 60 as per point (0, 60)

So the function is

y = 4x + 60

Part A

Yes. Described above

Part B

y = 4x + 60

Part C

Slope is the steepness of the line.

y -intercept is the lowest score with no time spent studying

HOPE I HELPED ! Have a great day :)

Answer 2

The number of hours students spent studying and the score on the science test are in linear correlation , a function that best fits the data is y = 4x + 60 and the slope and y-intercept of the plot indicate that y -intercept is the lowest score with no time spent studying

Linear Correlation

Linear Correlation is a measure of the degree to which two variables vary together, or a measure of the intensity of the association between two variables.

What are the steps to solve this problem?

The steps are as follow:

We can see there is a relation between x and y values that for every step change of x = 0.5, every step change of y = 2So the relationship is linearBy using to pairs of points to get the slope and y-intercept (0, 60) and (1, 64)And Calculating the slope:

m = (64 - 60)/(1 - 0) = 4/1 = 4

y - intercept is 60 as per point (0, 60)So the function is y = 4x + 60The slope and y-intercept of the plot indicate lowest score with no time spent studying

So, the number of hours students spent studying and the score on the science test are in linear correlation , a function that best fits the data is y = 4x + 60 and the slope and y-intercept of the plot indicate that y -intercept is the lowest score with no time spent studying

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Related Questions

HEEEEELLLLLLPPPPPPPPOP

Answers

4(x-8) = 4x-4*8

= 4x - 32

Answer:

4(x-8) = 4x-4*8

= 4x - 32

Step-by-step explanation:

The answers plzzz I need help

Answers

Haha I seem to fish with bread

three fewer than four times a number is five more than twice the number. What is the number
A. 1
B. 2
C. 4
D. -1/3

Answers

Answer:

C.4

4x-3=2x+5

x=4

Step-by-step explanation:

The number which is "three fewer than four times a number is five more than twice the number" is 4.

Linear Equation

The equation having the highest power of its variables as 1 is known as a linear equation.

How do we find the number?

Let the required number be x.

The given condition is - "Three fewer than four times a number is five more than twice the number."

Based on the given condition we will form an equation and solve it for x to find the required number.

The resulting linear equation is,

4x-3 = 2x+5

4x-2x = 5+3

2x = 8

x = 4

Hence, the required number is 4.

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5/10+8/100
I NEED HELP PLSSSS

Answers

Answer:

1 58/100 or 1 29/50 (simplified)

Step-by-step explanation:

you can turn them into decimals

5/10 = 0.5

8/100 = 0.08

0.5 + 0.08 = 0.58

0.58 = 58/100 = 29/50

which numbers round to 40 when rounding to 10s?

Answers

Answer:

35, 36, 37, 38, 39, 41, 42, 43 and 44

Step-by-step explanation:

Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.

Please help with this.

Answers

Answer:

g(1)=-72; g(n)=g(n-1)*(1/6)

Step-by-step explanation:

g(1)= -72*(1/6)^(1-1)=-72*(1/6)^0=-72*1=-72

g(2)=-72*(1/6)^(2-1)=-72*(1/6)^1=-72*(1/6)=-12

g(2)=g(1)*(1/6)

g(n)=g(n-1)*(1/6)

1/6 because that person said so

simplify
3sin 0+ 2sin 0- 4sin0+ 5sin0
step by step

Answers

Answer:

0

Step-by-step explanation:

3x0+2x0-4x0+5x0

0

Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.
Option A: 21x^2-4x+4+C
Option B: 21 x^2-4x+4-5
Option C: 21 x^2-4x+4
Option D: 21x^2-4x+4-5/x

Answers

that would be the correct answer

One bag of peanuts costs $ 1.52. How many bags can you buy with $34.96?

Answers

you can buy 23 bags of peanuts with $34.96. hope this helps :)

Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
7, 10, 13, 16,...

Answers

Answer:

3

Step-by-step explanation:

d= term4 - term3

16-13=3

d= term2 - term1

10-7=3

answer: +3 each number goes up by 3

Plss help I need this ASAP


The accompanying table shows the amount of
water vapor, y, that will saturate 1 cubic meter of
air at different temperatures, x.

Write an exponential regression equation for this set of data, rounding all values to the nearest thousandth. Using this equation, predict the amount of water vapor that will saturate 1 cubic meter of air at a temperature of 50 degrees centimeters, and round your answer to the nearest tenth of a gram.

Answers

Answer:

milk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammonia

Step-by-step explanation:

milk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammonia

Plz answer fast! Tell the correct answer(both parts), or else I will report you.

Answers

Answer:

d1 = -1.5

dn = dn-1 *-4

Step-by-step explanation:

-1.5, 6, -24,96

The first terms is d1

d1 = -1.5

To find the common ratio divide the second term by the first term

6/-1.5 = -4

Check 6*-4 = -24

-24*-4 = 96

dn =dn-1 * -4

Answer:

D (1) = -1.5        

D (n)= dn-1 *-4

Step-by-step explanation:

I know ;) hope this helps.

what is the constant rate of change of the function represented in the table?

X: -5 -1 3 7
Y: 23 7 -9 -25

PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIEST

Answers

Answer:

-4

Step-by-step explanation:

please tell me if u need explaination

-4
i just did it in calculator

Help a girl out?

17 - 12m = -11(m-2)

Answers

Answer:

-5 = m

Step-by-step explanation:

17 - 12m = -11(m-2)

Distribute

17 -12m = -11m +22

Add 12m to each side

17 -12m+12m = -11m+22+12m

17 = m+22

Subtract 22 from each side

17 -22 = m+22-22

-5 = m

[tex]\underline{\sf \: 17 - 12m = -11(m-2)}[/tex]

Use the distributive property to multiply -11 by m-2.

17 - 12m = - 11m + 22

Add 11m to both sides.

17 - 12m + 11m = 22

Combine -12m and 11m to get -m.

17 - m = 22

Subtract 17 from both sides.

- m = 22 - 17

Subtract 17 from 22 to get 5.

- m = 5

Multiply both sides by -1.

[tex]\large\boxed{\underline{\bf \: m = -5}}[/tex]

Hope it helps.

RainbowSalt2222

i need help with this question.

Answers

The answer is F(3)= -10
According to my calculations I got -10

a. How many non-degenerate scalene triangles with integer sides have a

perimeter of 27?


b. A square is inscribed in an equilateral triangle of side length 2 so that

two adjacent corners of the square lie on two sides of the triangle, and

the third side of the triangle contains one side of the square. The area of

the region inside the triangle and outside the square can be expressed as

a√b − c. What is a + b + c?

Answers

Answer:

Hello,

a)18

Step-by-step explanation:

[tex]p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}[/tex]

number of triangle=18

b)

Side of the equilateral triangle =2

Height=√3 (using Pythagorean's theorem) (tr ACP)

Triangle ABJ has the same area as the triangle ABC

Uisng Thalès's theorem,

[tex]\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\[/tex]

This all equal 136 I had it

In two or more complete sentences, explain how to find the average rate of change of a function

Answers

You divide the change in the output value by the change in the input value.
only the beginning and ending data would be used to reveal average rate of change over the specified period of time. to find the average of change, divide the change in the output by the change in the input.

when given the value of a function at different points, calculate the average rate of change of a function for the interval between two values. calculate the difference between y2-y1 and x2-x1. then divide y/x to find the ratio.

The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)

Answers

Answer:

I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Shape one / triangle:

the formula for triangles is a =1/2 x bh

5x10 = 50

50 x 1/2= 25

So the area for shape 1 is 25.

Shape two / rectangle :

the formula for quadrilaterals is a = bh

12 x 10 = 120

so the area of shape 2 is 120

Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

Answers

The answer to the problem is 3411.72 or 3500
The answer would be 5.000

Si a cero se le resta cualquier número entero el resultado siempre es el
mismo número, pero con signo positivo.

Answers

Please comment this in english.

No hablo esplanol, lo siento.

Please help answer all these questions. I will give brainliest questions aint in order

Answers

Answer:

please send the questions again

This is the letter c

Plz Help me Asap. And explain

Answers

Answer:

n=(1/6) or n=-5/2

Step-by-step explanation:

|6n+7|=8

6n+7=8 or 6n+7=-8

6n=1 or 6n=-15

n=(1/6) or n=-5/2

Yausjsbsjajajianaghaakajjjsjsksmsns

Cho biết DABC ∽DMNP theo tỉ số 2/3 và chu vi của DABC là 12cm. Chu vi của DMNP là .Kết luận đúng là:


A.
4,5 cm

B.
7,5 cm

C.
8cm

D.
18cm

Answers

Answer:

C

Step-by-step explanation:

Answer question is C

Please help these are the last ones I need I will mark you as brainliest if you answer them correctly! Ty

Answers

‏Which of the following statements is generally true about change in the workplace ? a ) Most people accept change easily . b ) Smart companies can avoid change altogether . c ) Change in the workplace happens fairly infrequently d ) Individuals can learn to manage the change in their lives .

A map is drawn to a scale of 1 : 240 000.

(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map. ​

Answers

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

How to estimate the area on the map?

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

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Choose a number line to model the following situation:

After a gain of 25 yards, the football team lost 25 yards on the next play. (4 points)

a
A horizontal number line is shown with labels at 0 and 25. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 0.

b
A horizontal number line is shown with labels at negative 25, 0, and 25. A purple arrow (labeled gain 25 yds )begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 0 and ends at negative 25.

c
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 50 and ends at 25.

d
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 50.

Answers

Answer: A

Step-by-step explanation: because the number line shows a gain of 25 then a loss of 25, it represents the question showing +25 then -25. so the answer is A

Hope this helps

the answer would be A

Club members wrote a program together, with several people working on each of 4 parts. If the first part of the program required 1/3 of the total time, the second part needed 1/2 of the remaining time, the third part took 30 minutes, and the fourth part took 60 minutes, how many hours did the program take to write?

Answers

Answer:

Step-by-step explanation:

4 parts: 1/3 + 1/2 + 30min + 60min

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes

The total time did the program take to write is  2 hours and 20 minutes.

It is required to find total time.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

several people working on each of 4 parts.

First part = 1/3 of the total time,

The second part = 1/2 of the remaining time,

The third part =30 minutes,

Fourth part= 60 minutes,

So, the total time in hour.

4 parts:

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

Total time=1/3 + 1/2 + 30min + 60min

=20 + 30 + 30 + 60(1h)

= 140 minutes

= 2 hours and 20 minutes.

So, the total time did the program take to write is  2 hours and 20 minutes.

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Function f(x) =ax +b where a and b are integers and a<0 has a domain 1

Answers

Answer:

sorry i read the question wrong and put a wrong answer im not sure how to delete

Step-by-step explanation:

Im not understanding the question

Could someone help me with (Q 15?) Maybe a brainliest if you do step by step and get the correct answer. Thank you :D

Answers

Answer:

It is a reflection  across the y axis

Step-by-step explanation:

The reflection of point (x, y) across the x-axis is (x, -y).

The reflection of point (x, y) across the y-axis is (-x, y).

Since (-4, -2.4) becomes (4, -2.4)  The x values changes sign.  It is a reflection  across the y axis

The answer would be the y axis. Because point a is on the negative x and y side of the graph while B is on the positive x and negative y side of the graph . So to get the answer you would have to flip it over the y axis.
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