This question is incomplete, the complete question is;
Calculate the correlation coefficient, r, for the data below.
X = -10 -8 -1 -4 -6 -7 -5 -3 -2 -9
Y = -15 -13 4 -4 -7 -11 -6 -2 1 -13
Answer: the correlation coefficient, r, for the data is 0.9896
Step-by-step explanation:
Given the data in the question;
correlation coefficient r = ?
we know that, C_Coeff is;
r = [ (Zn(∑xy) - (∑x)(∑y) ] / [ √[( n∑x² - (∑x)²) ( n∑y² - (∑y)²)] ]
so ;
X Y X² Y² XY
-10 -15 100 225 150
-8 -13 64 169 104
-1 4 1 16 -4
-4 -4 16 16 16
-6 -7 36 49 42
-7 -11 49 121 77
-5 -6 25 36 30
-3 -2 9 4 6
-2 1 4 1 -2
-9 -13 81 169 117
∑ -55 -66 385 806 536
now we substitute our values into the formula
r = [ (10×536 - (-55)(-66) ] / [ √[( 10×385 - (-55)²) ( 10×806 - (-66)²)] ]
r = 1730 / √( 825 × 3704 )
r = 1730 / √3055800
r = 1730 / 1748.0846
r = 0.9896
Therefore the correlation coefficient, r, for the data is 0.9896
Evaluate the function E(z)=(z+1)^2 for the following values of z.
a. E(a)
b. E(a + h), h not equal to 0
Use a & b to evaluate the following, for h not equal to 0
c. E(a + h) - E(a) / h =
Answer:
a. E(a) = (a+1)²
b. E(a + h) = (a+h+1)²
c. E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h
Step-by-step explanation:
E(z)=(z+1)²
E(a) = (a+1)²
E(a + h) = (a+h+1)²
E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h
9 + 7b - 666 +268 The polynomial in standard form
Answer:
7b-389
Step-by-step explanation:
This is the polynomial in standard form. Hope this helps!
Can someone help me please
The number -√44 is between which 2 integers.
Answer:
- 5 and - 7
Step-by-step explanation:
-√44 = -6.63
by what number must row 2 in the matrix??
Answer:
Look at the picture
Step-by-step explanation:
i took the test
The row 2 in the matrix must be multiplied by 0.5
Matrix MultiplicationAccording to the question;
The row 2 contains elements; 2 0 -2Hence, let the required number to multiply row 2 be; x so that;
2 × X = 10 × X = 0-2 × x = -1From all the equations above; it follows that;
x = 1/2 = -1/-2Hence, the required number is; 1/2 = 0.5
Read more on matrix multiplication;
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the area of a rectangle is 49.7cm2, and the width the rectangle is 3.5 cm what is the length rectangle cenimeters
Answer:
Answer = 14. 2
Step-by-step explanation:
Area of rectangle = length x breath
So, area here is = 49.7 cm2
Breath = 3.5 cm
49.7 = length x 3.5
Length = 49.7 ÷ 3.5
Length = 14.2 cm
A bottie contains 255 coins.
1/3 of the coins are £1 coins.
110 of the coins are 50p coins.
The rest of the coins are 20p coins.
Work out the total value of the coins contained in the bottle.
Answer:
£152
Step-by-step explanation:
Solution:
Find out how much is 1/3 of 255 coins:
255 x 1/3 = 85
Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.
255 - 85 - 110 = 60
There are 60 20p coins, 85 £1 coins and 110 50p coins.
Find out the total value by calculating them all altogether.
60 x 20p = 1200
85 x 100p which is £1 = 8500
110 x 50p = 5500
I did them separately so that it wouldn't be so confusing.
Convert them into £, then after that add them up.
£12 + £85 + £55 = £152
Eugene wanted to make note cards by cutting pieces of paper in half. Before starting he got six more pieces to use. When he was done he had 26 half-pieces of paper. With how many pieces did he
start?
Answer:
7
Step-by-step explanation:
26/2 = 13
13 - 6= 7
Answer = 7
What is the solution to the equation below? Round your answer to two
decimal places.
5* = 55
O A. x = 2.40
B. X= 2.49
C. x = 1.04
D. x= 0.40
Given:
The equation is
[tex]5^x=55[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^x=55[/tex]
Taking log both sides, we get
[tex]\log (5^x)=\log (55)[/tex]
[tex]x\log (5)=\log (55)[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]x=\dfrac{\log (55)}{\log (5)}[/tex]
Using the log values, we get
[tex]x=\dfrac{1.740}{0.699}[/tex]
[tex]x=2.48927[/tex]
[tex]x\approx 2.49[/tex]
Therefore, the correct option is B.
Is the following equation proportional or non-proportional?
y = -4x - 3
Answer:
proportional
Step-by-step explanation:
The length of a room is 7.25 feet longer than the width, x, of the room. Which expression represents the perimeter of the room?
Answer:
P = 14.5+4x
Step-by-step explanation:
Let the width of the room is x.
Length = 7.25 feet longer than the width = 7.25 +x
We need to find an expression the represents the perimeter of the room.
Perimeter = sum of all sides
P = 2(l+b)
l is length and b is width
P = 2(7.25 +x+x)
=2(7.25 +2x)
=14.5+4x
Hence, the required expression for the perimeter is 14.5+4x.
The 12 students in the Environmental Club represent 20% of the students in the seventh grade. How many students are in the seventh grade?
The students that are in the seventh grade is 60.
How to calculate the number of students?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Let the students that are in the seventh grade be x.
Since 12 students in the Environmental Club represent 20% of the students in the seventh grade. This will be:
20% × x = 12
0.2x = 12
Divide
x = 12 / 0.2
x = 60
Therefore, there are 60 students.
Learn more about percentages on
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Help me out here, I'll give brainlist for explanation.
Answer:
See below.
Step-by-step explanation:
This is focusing on the order of operations.
PEMDAS = Parenthesis, exponents, multiplication, division, addition, subtraction.
40 ÷ [(18 - 9) - (13 - 12)]
40 ÷ [9 - 1]
40 ÷ 8
5
[(13 - 9) · 3] + [(14 - 8) · 2]
[4 · 3] + [6 · 2]
12 + 12
24
What property can be used to simplify the expression:
27(2p + 4e + 10p + 20)
How far is `10\%` of a `2,000`-kilometer trip?
The apples and bananas at the fruit stand sell for $0.70 per pound. If there are 1.06 pounds of apples and 1.14 pounds of bananas, what is the total cost of the apples and bananas?
Answer:
Are there answer options or is it just a solid answer?
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
I need help on this with solutions please
Answer:
See answers below:
1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDEPlease answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 90
Step-by-step explanation:
The 90-degree angle and "x" form a straight line. The degree measurement of a straight line is 180. That means that if one adds 90 and "x", they will get 180, and therefore, x equals 90.
Sketch a graph that shows the
relationship between grams of honey and
grams of salt needed for a bakery recipe.
Show on the graph how much honey is
needed for 70 grams of salt.
salt
honey
flour
(c)
10
14
4
25
35
10
1 Add file
Which is the fraction for 33%
33% in fraction is 33/100.
Please mark as brainliest ~
What is 6 times 7 to the power of 5
Answer:
Step-by-step explanation:
100842
Answer:
The answer is 100,842.
Step-by-step explanation:
6 x 7^5 = 100,842.
Write a numerical expression for the word expression.
The difference between 41 and 19
Answer:
I believe the answer is
[tex]41 - 19[/tex]
Step-by-step explanation:
hope this helps!
✧◝(⁰▿⁰)◜✧
prove that a rectangle has congruent diagonals
Answer:
Look below
Step-by-step explanation:
Lets say there is a rectangle abcd
One way is: Triangle ABC is congruent to triangle DCB
Another way is: Since a rectangle is a parallelogram too, segment ab=dc. This is because opposite sides of a parallelogram are congruent.
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160
let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.
Can some one plz help i will give BRAINLIEST.
If there is a 10% chance of a certain flower species having blue petals, then is it possible to observe only 85 flowers with blue petals in a field of 1000 flowers? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.
Find all solutions of sinx-sqrt1-3sin^2x=0
Answer:
what
Step-by-step explanation:
that doesnt make any sense
3m + n = 71
2m - n = 30
Answer:
m = 20.2; n = 10.4
Step-by-step explanation:
[tex]\left \bigg \{ { \big {3m + n = 71} \atop \big {2m - n = 30}} \right.; => \left \bigg \{ { \big {3m + n -3m= 71-3m} \atop \big {2m - n-2m = 30-2m}} \right.; => \left \bigg \{ { \big { n = 71-3m} \atop \big { - n = 30-2m}} \right. ; => \\\\=> \left \bigg \{ { \big { n = 71-3m} \atop \big { - n \times (-1) = (30-2m)\times (-1)}} \right.; =>\left \bigg \{ { \big { n = 71-3m} \atop \big { n = -30+2m}} \right..[/tex]
-30 + 2m = 71 - 3m
-30 + 2m + 30 = 71 - 3m + 30
2m = 101 - 3m
2m + 3m = 101 - 3m + 3m
5m = 101
5m ÷ 5 = 101 ÷ 5
m = 20.2
n = 71 - 3m = 71 - 3 × 20.2 = 10.4
how many 2/3s are in 3
Answer:
7 and 1/3
Step-by-step explanation:
Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?
Answer:
Solution in photo
Step-by-step explanation:
