A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test.
The table below shows the data:
(Table In Image)
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer.
Part B: Write a function which best fits the data.
Part C: What does the slope and y-intercept of the plot indicate?
yes there is a a correlation
f(x) = 4x + 60
slope = 4
y-intercept = 60
There is a correlation between the number of hours spent on studies and the score on music test.
How to explain the correlation?As we increase the 0.5 hour on studying, then the music score increases by 2. The function which best fits the data for the correlation is y=60 + 4x
The slope and y-intercept of the plot indicate? that Y= score obtained in music test and X=number of hours spent on studying. The slope of the above equation represent the rate of increase in music score with respect to an increase in the number of hours spent on studying.
The y-intercept gives the music score when the number of hours spent on studying is zero.
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A(x) = 2 (3x - 2)(x - 5)
Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answer:
5. 23
6. 26
7. 20
8. 45
9. 15
10. 120
11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60
12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.
Classify the statements based on whether they are represented by +3 or -3.
deposit of $3
3 feet above sea level
loss of $3
3°F below 0°F
3 floors below ground level
3°F above 0°F
Answer:
If you deposit money, your bank account shows it as +3
3 degrees below zero = - 3 o F which is darn cold.
3 floors below ground level = - 3 floors below ground level
3 feet above sea level = +3 feet
3 degrees about 0 = + 3
3 dollars lost = -3 dollars.
Step-by-step explanation:
*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).
can someone find loverboy444? thank you! who ever finds him will get a request!
Answer:
I can try
Step-by-step explanation:
Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?
Answer:
$13.2Step-by-step explanation:
Step one:
given data
principal=$880
rate= 3%
final amount = $893.2
time t= 6 months =0.5 years
Step two:
Required
Simple interest
SI=PRT/100
SI=880*3*0.5/100
SI=1320/100
SI=13.2
She paid Simple interest of $13.2
Given the point A(3,4) find the coordinates of three other point to create a parallelogram ABCD that isnt a rectangle or square
Answer:
Iloveyou ayeeeeeeeeei
❤️❤️❤️
1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer:
d
Step-by-step explanation:
is answer sd
Can someone please help me with this!?
Answer:
Step-by-step explanation:
triangles have always total degrees as 180 degrees
let the 3 rd angle be x
so , 70 + 62 + x = 180
70 + 62 = 132
132 + x = 180
x = 180 - 132
x = 52 degrees
part b = sorry i could not see the part b question clearly
Given g(x)=4-2(3-x), what is the value of g(1)
Answer:
g(1) = 0
Step-by-step explanation:
To evaluate g(1) , substitute x = 1 into g(x), that is
g(1) = 4 - 2(3 - 1)
= 4 - 2(2)
= 4 - 4
= 0
Answer: its 0
Step-by-step explanation:
Miss Niger is an auto mechanic I live auto body shop in Spanaway they charge a diagnostic fee of $40 prior to working on cars in order to find the issues with their customers cars then she then charges $25 per hour to fix the cars let X represent the hours spent working on cars and Y represent the total cost of fixing the car select an equation that best represents the suit leisurI'll
Answer:
Its C I just did this
Step-by-step explanation
help i give you brinly
it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?
Answer:
4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Step-by-step explanation:
12÷3=4
Five out of eight birds that visited the feeder ate the birdseed. If 60 birds ate the birdseed today, how many birds visited the feeder?
Answer:
Therefore, the birds visited the feeder = 96
Step-by-step explanation:
Five out of eight birds that visited the feeder ate the birdseed.
i.e. the ration is: 5/8
Given that 60 birds ate the birdseed today.
Note that if we multiply '5' by '12', we get the number 60.
Now, all we need to is to also multiply '8' by '12' to maintain the initial ratio which is 5/8.
i.e. (5×12) / (8×12) = 60/96
Therefore, the birds visited the feeder = 96
You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year. Find the interest on the loan if you borrowed $5000 at 5% interest for 1 year
Answer:
500
Step-by-step explanation:
Solve the inequality 7x - 11 < 9x + 22.
Answer:
x>-33/2
Step-by-step explanation:
this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.
Answer:
[tex]x > \frac{ - 11 - 22}{2} [/tex]
Step-by-step explanation:
Step 1: Subtract 7x7x from both sides.
−11<9x+22.−7x
Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.
−11<2x+22.
Step 3:Subtract 22.22. from both sides.
−11−22.<2x
Step 4:Divide both sides by 22.
[tex] \frac{ - 11 - 22}{2} < x[/tex]
Step 5, Switch sides.
[tex] x > \frac{ - 11 - 22}{2} [/tex]
I hope it helps you.
y=12x=25 help please
Answer:
Simplifying
y = 12x + 25
Reorder the terms:
y = 25 + 12x
Solving
y = 25 + 12x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 25 + 12x
Step-by-step explanation:
I tried
what is 2 + (-7/20)? I've been trying to figure it out for a while but i cant seem to get the right answer.
please answer the question. Anderson deposits $700 into a savings account that pays a simple interest of 2% per year. Which of the following would be the total amount in her savings account at the end of 10 years?
Answer:
840
Step-by-step explanation:
2% of 700 is 14. Multiply 14 by 10 years, and then add that result (140) to the original amount
given vectors u=(-2,3) and v=(-6,9) what is the measure of the angle between u and v?
a. 0
b. 86
c. 91
d. 180
Answer: 91
Step-by-step explanation:
Angle between the two vectors u and v is option (a) 0 degree
What is Vector?Vector, in mathematics, a quantity that has both magnitude and direction
Given,
u=(-2,3)
v=(-6,9)
Angle between the two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
[tex]u.v=(-2)(-6)+(3)(9)\\u.v=12+27\\u.v=39[/tex]
[tex]|u|=\sqrt{-2^{2}+3^{2} } \\|u|=\sqrt{13}[/tex]
[tex]|v|=\sqrt{-6^{2}+9^{2} } \\|v|=\sqrt{117}[/tex]
Angle between two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
θ=[tex]cos^{-1} \frac{39}{\sqrt{13}.\sqrt{117} } \\cos^{-1}\frac{39}{39}\\ cos^{-1}1=0[/tex]
Hence, the angle between the vectors u and v is 0 degree
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On January 1, 2014, the federal minimum wage was $7.25 per hour. Which graph has a slope that best represents this rate? Will give brainliest!!
Answer:
the answer is c
Step-by-step explanation:
i did it on paper
David says that the numbers 2 and 4 are both composite numbers. Sarah says that 2 is a prime number and 4 is a composite number. Which statement explains who is correct?
Answer: Sarah is correct
Step-by-step explanation:
A composite number is referred to as a positive integer which is gotten when someone multiplies two positive integers that are smaller than the number. We should note that we should not use one while multiplying.
A prime number is a number that can only be divided when the number is being divided by one and itself. Examples are 2, 3, 7, 11 etc.
Based on the above analysis, 2 is a prime number while 4 is a composite number. Therefore, Sarah is correct.
30 inches in centimetres
Answer:
76.2 cm
Step-by-step explanation:
If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.
Use the given information to solve for x.
x+3
2x-9
What is x?
Answer:9
Step-by-step explanation:
What is the length of AC?
8y+11= 6y + 11
solve for y
please help
Answer:
y = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
8y + 11 = 6y + 11
Step 2: Solve for y
Subtract 6y on both sides: 2y + 11 = 11Subtract 11 on both sides: 2y = 0Divide 2 on both sides: y = 0Answer:
Step-by-step explanation:
8y+11=6y+11
we have the same number in both sides, they will cancel out
8y-6y=0
2y=0
y=0 is the only solution
If 3 pens cost $2, then how many can can you buy with $20
Answer:
30
Step-by-step explanation:
5. The table below shows the participation in a school's debate club
during the last four years,
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth?
By what percent did it grow? Round to the nearest whole number.
Q3-4
lol
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40/50
Help plzzzzzzzzzzzzzz
Answer:
∠P
Step-by-step explanation:
∠P is between NP and PE