The table shows the age of some participants in a quiz competition and the number of questions they could answer correctly:
Age (years) (x)
15 21
17 22 16 19 18
Number of questions they could answer (y) 17 17 17 17 17 17 17
What is the correlation coefficient for the data, and what does it represent?
O0; it represents no correlation between x and y
O1; it represents a linear positive correlation between x and y
O-1; it represents a linear negative correlation between x and y
O1; it represents a linear negative correlation between x and y
Answers
Option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
We have:
Age (years) (x) 15 21 17 22 16 19 18
Number of questions they could answer(y) 17 17 17 17 17 17 17
As we can see all y values are the same.
n∑y² = 7(2023) = 14161
(∑y)² = 119² = 14161
If we put the value of the above data the value will become undefined.
Thus, option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.
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Related Questions
Timothy has a savings account that he started five years ago to begin saving for college. The
savings account has an interest rate of 3% and has earned $225 in interest since he began the
account. How much money did Timothy start the account with when he originally opened the
savings account?
A. $1500.00
B. $33.75
C. $7500.00
D. $3375.00
of $18
Answers
Answer:
A. $1500.00
Step-by-step explanation:
Assuming this is a simple interest savings account.
Simple interest formula
I = Prt
where:
I = total interestP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
I = $225r = 3% = 0.03t = 5 yearsSubstitute the given values into the formula and solve for P:
⇒ I = Prt
⇒ 225 = P(0.03 ×5)
⇒ 225 = P(0.15)
⇒ P = 225 ÷ 0.15
⇒ P = 1500
Therefore, Timothy started the account with $1500.00.
PLS HELP IM BEGGING ITS DUE IN 10 MINUTES WHOEVER ANSWERS FIRST AND CORRECTLY I WILL GIVE BRAINIEST!!!
Write a similarity statement comparing the two triangles:
Answers
The triangle ABE and triangle DEC are similar by AAA option third is correct.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have given two triangles in the picture.
As we can see in the triangle ABE
Angle ABE = 90 degree or right angle
Similarly, in a triangle DEC
Angle DEC = 90 degree or right angle
Angle ABE = Angle DEC
Angle EAB = Angle CDE
If the corresponding two angles are the same as two triangles then the third the angle will be the same.
Angle AEB = Angle DCE
The triangle ABE and triangle DEC are similar to AAA
Thus, the triangle ABE and triangle DEC are similar by AAA option third is correct.
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Find the value of y in the equation attached to this question
Answers
Answer:
y = 4
Step-by-step explanation:
1) Simplify [tex]3^5[/tex] to 243.
[tex]{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}[/tex]
2) Simplify [tex]{9}^{6}[/tex] to 531441.
[tex]{9}^{y}=\frac{243\times 531441}{{27}^{3}}[/tex]
3) Simplify [tex]243\times 531441[/tex] to 129140163.
[tex]{9}^{y}=\frac{129140163}{{27}^{3}}[/tex]
4) Simplify [tex]{27}^{3}[/tex] to 19683.
[tex]{9}^{y}=\frac{129140163}{19683}[/tex]
5) Simplify [tex]\frac{129140163}{19683}[/tex] to 6561.
[tex]{9}^{y}=6561[/tex]
6) Convert both sides to the same base.
[tex]9^y=9^4[/tex]
7) Cancel the base of 9 on both sides.
[tex]y=4[/tex]
Cheers,
ROR
Answer:
y = 4
Step-by-step explanation:
Decompose in base 3
[tex]9^{y} =\frac{3^{5} (3^{2})^{6} }{(3^{3})^{3} } =\frac{3^{5}3^{12} }{3^{9} } =\frac{3^{17} }{3^{9} } =3^{17-9} =3^{8}[/tex]
if
[tex]3^{8} =(3^{2} )^{4} =9^{4}[/tex]
then
[tex]9^{y} =9^{4}[/tex]
[tex]y=4[/tex]
Hope this helps
Help please I'll mark you as brainlist if the answer is correct
if (x + q) is a factor of two polynomials x2 + px + q and x2 + mx + n, then prove that a = n-q m-p
Answers
If (x + q) is factor of two polynomial [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex] than [tex]a = \frac{n - q}{m- p}[/tex].
x + a is factor of equations [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex]
What is a polynomial equation?Polynomial equation is equation of independent variables.
Putting it in both the equations
[tex]x^2+px+q=0[/tex]
[tex](-a)^2+p(-a)+q=0\\a^2-ap+q=0 ........(1)[/tex]
[tex]x^2+mx=n = 0\\(-a)^2+m(-a)+n=0\\a^2-am+n=0 .....(2)[/tex]
subtracting (2) from (1)
[tex]-am+ap+n-q=0[/tex]
[tex]a=\frac{n-q}{m-p}[/tex]
Thus, the required expression is [tex]a=\frac{n-q}{m-p}[/tex].
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please help
PLEASE
Answers
Answer:
Step-by-step explanation:
4567890987654345678
Subtract the following complex numbers:
(4+4i)-(13+17i)
OA. 9+21/
OB. -9+21/
OC. 9-13i
OD.-9-13i
Answers
We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
We have been given (4 + 4i) - (13 + 17i) .
On removing the parenthesis
4 + 4 i - 13 - 17i.
On combine the real part and complex parts, we get
= 4 - 13 + 4i - 17 i.
= -9 - 13 i.
Therefore, The correct option is A ) -9 - 13 i.
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The largest bubblegum bubble ever blown was 23 inches in diameter. What was its circumference?.
Answers
Answer:
[tex]C=23\pi[/tex] inches
or as a decimal
72.26 inches
Step-by-step explanation:
Formula for circumference: [tex]C=2\pi r[/tex]
Radius = [tex]\frac{d}{2}[/tex]
Altogether we get: [tex]C=2*\pi*\frac{d}{2}[/tex]
Which simplifies to: [tex]C=\pi d[/tex]
So now we can plug in 23 for [tex]d[/tex].
[tex]C=\pi*23[/tex]
Our final answer is:
[tex]C=23\pi[/tex] inches
or as a decimal
72.26 inches
The vertices of an isosceles triangle are A(-4, 0), B(-10, -2) and C(-6, -6).
What is the equation of the triangle's line of symmetry?
y = - x - 4
y = x - 4
y = x + 4
y = - x + 4
Answers
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ftfrankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ft.
Answers
The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.
From the Pythagoras theorem:
Perpendicular(P) = 32 ft
Base(B) = 20 ft
H = √(32²+20²)
H = √1424
H = 37.7 ft
Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
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Answer:
D) 37.7
Proof:
Which expressions are equivalent to the one below? Check all that apply.
In (e^2)
Possible Answers Below:
A.)2•In e
B.) 2
C.) 2e
D.) 1
Answers
Answer:
a and b
Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2
Chloe bought an equal number of forks and spoons for a party. The forks were sold at 3 for 2$ and the spoons were sold at 4 for 3$. She spent 5$ more on spoons than on forks. How much did she spend altogether?
Answers
60 forks 60÷3=$20
60 spoons 60÷4=$15
$20+$15=$35 total spent for forks and spoons
Denver has a current temperature of -5°, while Barcelona has a current temperature of 54°. What is the difference in temperature between Denver and Barcelona?
Answers
Answer:
59°
Step-by-step explanation:
Difference=54-(-5)
=54+5=59
A _______ random variable has infinitely many values associated with measurements.
Answers
Answer:
Continuous
A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.
An equilateral triangle has the height BO= 80 cm. Considering, height BO splits the base (segment) AC into two equal segments of size x/2, find X.
Answers
Answer:
Given - an equilateral triangle
An equilateral triangle means all sides equal and all angle equal to 60°
In triangle BOA
sin 60° = OB/ AB
√3/2. = 80/AB
AB = 160√3/3
X = 160√3/3
A 11 gram sample of a substance that’s used to treat thyroid disorders has a k- value of 0.125
Answers
The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an exponential function:
[tex]\rm N = N_oe^{-kt}[/tex]
Plug N = N⁰/2
[tex]\rm N_o/2 = N_oe^{-kt}[/tex]
[tex]\rm \dfrac{1}{2} = e^{-0.125t}[/tex]
Solving for t:
t = 5.54 ≈ 5.5 days
Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
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The point (-6, 4) is reflected over the x-axis. Find the point of reflection.
Answers
Answer:
-6, -4
Step-by-step explanation:
Help asap show your work!
Answers
Answer:
x = 4
Step-by-step explanation:
The circle above with center O has a circumference of 36. What is the length of minor arc AC? A) 9 B) 12 C) 18 D) 36
Answers
Answer:
A) 9
Step-by-step explanation:
⇒ Circumference of a Circle = 2πr
[tex]36=2\pi r[/tex]
[tex]r=\frac{36}{2} \pi[/tex]
[tex]r=\frac{18}{\pi }[/tex]
Length of arc = rθ
θ = angle AC = [tex]90^o[/tex]
Convert [tex]90^o[/tex] to radian
= [tex]\frac{90\pi }{180}[/tex]
= [tex]\frac{\pi }{2}[/tex]
length of arc = 18/π x π/2
= 9
How many significant digits are there in the number 237.16?
Answers
Answer:
3
Step-by-step explanation:
Use substitution to solve the following system of equations
2x + 3y = 18 AND X = y - 6
Answers
Answer:
y=6,x=0
Step-by-step explanation:
here's an attachment with how to solve
Are survival rates independent of gender within similar passenger classes ?
Answers
Answer:
yes
Step-by-step explanation:
Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.
If the nth term of a sequence is 18-8n what is the 8th term
Answers
Answer:
[tex]a_{n} =18-8n\\a_{8} =18-8(8)=-46[/tex]
Answer:
-46
Step-by-step explanation:
(hello, I just answered your previous question--some stuff will sound similar because we are applying the same concept :) )
We know that the nth term of the sequence is 18 - 8n
the "nth" term of a sequence means that you can plug in the term place to get the term value (ex. if the nth term is n + 2, we can plug any term in {let's say, the eighth term, 8 + 2 = 10 ; to get our term's value} )
18 - 8n is sequence
18 - 8(8) is 8th term
18 - 64 is 8th term
-46 is the 8th term
hope this helps!! :)
all natural numbers (N) are integers (Z), but not all integers are natural numbers true or false
Answers
True. All natural numbers N are integers Z, but not all integers are natural numbers.
Natural numbers:
Natural numbers starts from zero to infinity are all positive.All the natural numbers are whole numbers.It is denoted by NThe set of natural numbers are N = 1,2,3, ...Integers:
Integers are the whole numbers that contain positive numbers, zero and negative numbersIt is denoted by ZThe set of integers are Z = ... ,-3,-2,-1,0,1,2,3, ...Since natural numbers are all positive, N is positive integers but not all integers are natural numbers.
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The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about which genre of performance more families would attend?
Choose 1 answer:
Choose 1 answer:
Answers
To determine whether more families of students at the school would attend a musical or a comedy , she should Assign a number to each family, use a computer program to select 20 random numbers , Option A is the right answer.
What are different survey methods ?Some of the survey methods are Online Survey , Telephonic survey , Kiosk Survey , Face to Face Survey etc.
It is given that there are n number of families ,
To determine whether more families of students at the school would attend a musical or a comedy.
To do so she has to do random sampling from the group of families.
So , she should Assign a number to each family, use a computer program to select 20 random numbers.
Therefore Option A is the right answer.
The complete question is
The drama teacher wants to know whether more families of students at the school would attend a musical
or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about
which genre of performance more families would attend?
Choose 1 answer:
Assign a number to each family, use a computer program to select 20 random numbers
between 1 and the total number of families, and ask the families selected.
For each letter of the alphabet, assign a number to each family whose last name begins with
that letter, use a computer program to select a random number between 1 and the total
number of families whose last name begins with that letter, and ask the family selected.
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Which Expression is Equivalent to (f+g)(4)?
A) F(4) + G(4)
B) F(X) + G(4)
C) F(4 + G(4))
D) 4(F(X) + G(X))
Answers
Step-by-step explanation:
[tex] = (f + g)(4)[/tex]
[tex] = f(4) + g(4)[/tex]
The answer is A.
I need more help I'm lazy (img included)
Answers
Answer:
B)20
Step-by-step explanation:
convert 900in to ft=75
1500/75=20boxes
There are 12 inches in a foot, so 1500 times 12 is 18000, 18000 divided by 900 is 20
can anybody help me find what 11x-21=
Answers
55 mi / h = ____ ft / s
Answers
Answer:
80.6ft/s
Step-by-step explanation:
[tex]\frac{55mi}{h} * \frac{5280ft}{1 mi}* \frac{1h}{3600s} = 80.6ft/s[/tex]
PLEASE I NEED THE ANSWER QUICKLY
1. A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many full-page advertisements does Kathryn purchase?
Show your work.
(c) How many half-page advertisements does Kathryn purchase?
Show your work.
Answers
Answer:
x = 12 half page advertisements
y = 8 full page advertisements
Step-by-step explanation:
42x + 86y = 1192
x + y = 20
y = 20 - x
Input (20-x) as y into the first equation
42x + 86(20-x)=1192
42x + 1720 - 86x = 1192
(42x - 86x) 1720 -1720= 1192-1720
-44x = -528
x = 12
12 + y = 20
y=8
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
What is system of equation?" System of equation is defined as the finite set of equations for which we find a common solution."
According to the question,
Cost of half page advertisement = $42
Cost of full page advertisement = $86
Number of advertisement Kathryn could purchase = 20
Total budget of Kathryn to purchase advertisement = $1192
'x' represents half page advertisement
'y' represents full page advertisement
As per the situation given system of equation we have,
42x + 86y = 1192 ______(1)
x + y = 20
x = 20 - y _____(2)
Substitute the value of 'x' from system of equation (2) in (1) we get,
[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]
Substitute the value of y in (2) to get 'x' ,
[tex]x=20-8[/tex]
= 12
Hence,
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
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Simplify the expression
-17.8a-2.4a+25-19.5
Answers
Answer:
-20.2a+5.5
subtract the values with a in it and the ones without the a together.
