The value of the correlation is -0.0721 and it is a weak negative correlation
How to determine the correlation coefficient?
The points are given as:
(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)
Enter the above points in a graphing calculator.
From the graphing calculator, we have the following summary:
X Values
Sum X = 90Mean = 18∑(X - Mx)^2 = SSx = 90Y Values
Sum Y = 156Mean = 31.2∑(Y - My)^2 = SSy = 692.8X and Y Combined
N = 5∑(X - Mx)(Y - My) = -18R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
This gives
r = -18 / √((90)(692.8)) = -0.0721
So, the correlation coefficient is -0.0721
The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1
Hence, the correlation is a weak negative correlation
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what is a non-example of scaling?
Answer:
A rate is two variables that relies on each other so a example would be a projectile and a cannon, in relation the cannon goes no where while the projectile is flying through the air
Step-by-step explanation:
What is the product of x(x+1)?
There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?
Answer:
1 3/4
Step-by-step explanation:
i took this quiz its the correct answer...
Answer:
B. ! 3/4 miles
Step-by-step explanation:
I got it right on edge.
f(x) = 4x - 5 g(x) = 1/4x + 5/4 Find (fog)(x) Find (fog)(x)
you must replace the value of G in x of the function F
we look for fog
\(\begin{gathered} (fog)(x)=4(\frac{1}{4}x+\frac{5}{4})-5 \\ =(x+5)-5 \\ =x \end{gathered}\)fog(x)=x
Help whit this question pls
Answer:
a is correct
Step-by-step explanation:
What is 9/40 as a percentage
Answer:
22.5%
Step-by-step explanation:
Pretzelmania, Incorporated, issues 7%, 10-year bonds with a face amount of $70,000 for $70,000 on January 1, 2024. Interest is paid annually on December 31.
Cr Cash 4,900 which is Interest paid annually on December 31.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
Pretzelmania, Inc., issues 7%, 10-year bonds with a face amount of $70,000 $70,000 on January 1, 2015. The market interest rate for bonds of similar risk and maturity is 7%. Interest is paid annually on December 31.
January 1, 2015, bonds issued at par value
Dr Cash 70,000
Cr Bonds payable 70,000
June 30, 2015, first coupon payment
Dr Interest expense of 4,900
Cr Cash 4,900
Thus, Cr Cash 4,900 which is Interest paid annually on December 31.
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what's the standard answer for (5×1)+(7×.2)+(2×0.4)
9514 1404 393
Answer:
7.2
Step-by-step explanation:
The order of operations tells you that quantities in parentheses are evaluated first.
(5×1)+(7×.2)+(2×0.4) = 5 + 1.4 + 0.8
Then the addition is performed, left to right.
= 6.4 +0.8
= 7.2
_____
Your calculator can work this problem for you, if necessary.
For the following exercises, consider the function f(x) = (1+x)^1/x. Round all answers to five decimal places. Evaluate f(-0.01).
The value of f(-0.01) is approximately 0.99005.
To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).
Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.
The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.
By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.
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Determine the unknown side of the similar
triangle.
3 in
4 in
Q
12 in
Answer:
Q=9
Step-by-step explanation:
if we get the bottom lengths of both triangles and divide them by eachother we can find the scale factor. so 12/4=3 meaning the scale factor is 3 meaning the bigger triangle is 3 times bigger so if we have the smaller version of the length of Q we just have to multiply 3 by 3 to get the enlarged version so Q=9inch
(its a lot of words but i wanted to make sure you understand)
Can you please simplify c5 x c
Answer:
5c^2
Step-by-step explanation:
i think c is a variable so,
5xcxc = 5c^2
What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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A savings account has four hundred dollars in it. Then x number of dollars is added. What is the total balance of the savings account, y? 1. Identify important information 2. I need to find 3. What is the Equation? 4. Is the equation additive or multiplicative? 5. I know my answer is correct because
Answer:
Step-by-step explanation:
1. Important information: The original balance of the savings account is 400 dollars, x is the number of dollars added, and y is the total balance of the savings account.
2. I need to find: The total balance of the savings account (y).
3. What is the equation: y = 400 + x
4. Is the equation additive or multiplicative: Additive
5. I know my answer is correct because: I can use the equation y = 400 + x to calculate the total balance and then double-check my answer using mental math or by subtracting 400 from the total balance to find the amount added (x).
Help meeeeeeeeeee please
Answer:
31 x (34 - 16) + 16 x (31-13)
Step-by-step explanation:
Think of it as two sepertae shapes that yout have to find the missing lengths of and then add them together
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Drag and drop the relationships below to classify them as being a function or not a function?
A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.
Determine the domain of a piece wise function?Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.
Determine the range of a piece wise function?Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.
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Solve 5(2x – 3) = 5x – 10 for x.
Answer:
x=1
Step-by-step explanation:
5(2x – 3) = 5x – 10
Distribute
10x -15 = 5x-10
Subtract 5x from each side
10x-15-5x = 5x-5x-10
5x -15 = -10
Add 15 to each side
5x-15+15 =-10+15
5x = 5
Divide by 5
5x/5 = 5/5
x=1
Answer and Step-by-step explanation:
To solve for x, first distribute the 5 to the 2x and 3.
10x - 15 = 5x - 10
Now, add 15 to both sides and subtract 5x to both sides of the equation.
5x = 5
Divide both sides of the equation by 5.
x = 1
The answer is x = 1
#teamtrees #PAW (Plant And Water)
The sum of two numbers is 65 . The larger number is 7 more than the smaller number. What are the numbers?
Answer:
Let a be the larger number
Let b be the smaller number
A= b+7
Step-by-step explanation:
Hope this helps :) Have a great day!!!
After one quarter (year), the interest on a principal of $1000 is $8.75.
Find the rate. Write your answer as a percent.
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)
What is the volume of this triangular pyramid
Answer:
The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).
Step-by-step explanation:
Answer:
192 cubic feet
Step-by-step explanation:
The volume V of a triangular pyramid is given by the formula:
V = (1/3) * base area * height
where base area is the area of the triangular base.
In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:
base area = length * width = 8 ft * 8 ft = 64 sq ft
Substituting the given values into the formula, we get:
V = (1/3) * 64 sq ft * 9 ft
V = 192 cubic feet.
Therefore, the volume of the triangular pyramid is 192 cubic feet.
Provide reasons for the proof. Given: 《2 ~= 《4. and >>> Statement 8) m
Answer:
f
Step-by-step explanation:
27 deliveries in 3 hours = ___ deliveries per hour
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
27÷3=9
(hope this helps can i plz have brainlist :D hehe)
PLEASE CAN SOMEONE HELP ME??????????????
Answer: 180 degrees rotation, center (1.5, -0.5)
=====================================================
Explanation:
Notice how point (1,-1) on triangle A moves to (-2,0) and then that rotates to (2,0)
Form a line segment from (1,-1) to (2,0) to show the beginning and end states. The equation of the line through these two points is y = x-2
--------------
Similarly, the point (1,-4) moves to (-2,-3) after applying the translation vector, then it rotates to (2,3). Draw a line through (1,-4) and (2,3). The equation of this line is y = 7x-11
--------------
We have this system of equations
\(\begin{cases}y = x-2\\y = 7x-11\\\end{cases}\)
Equate the right hand sides and solve for x
7x-11 = x-2
7x-x = -2+11
6x = 9
x = 9/6
x = 3/2
x = 1.5
which leads to
y = x-2 = 1.5-2 = -0.5
or
y = 7x-11 = 7(1.5)-11 = 10.5-11 = -0.5
Either way, x = 1.5 leads to y = -0.5
We get the ordered pair (x,y) = (1.5, -0.5)
This is the center of rotation when rotating figure A to have it match up with triangle C (the triangle in the upper right quadrant)
Notice in the diagram below point D is that center of rotation. Also, notice that if we use the distance formula, you should find that
AD = A''D
BD = B''D
CD = C''D
Enter the ratio as a fraction in lowest terms.
5 ft to 70 in.
Answer:
1/14
Step-by-step explanation:
The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14
How many payments must be made for a 5 1/2 year loan
Answer:66
Step-by-step explanation:
5year loan is 60 5x12=60
A survey asked people how they get to work or school, based on what kind of area they live in. The results are shown in the table below. What is the conditional relative frequency of people in suburban areas who drive to work? Urban Suburban Rural Total Walk 19 4 10 33 Bike 15 12 8 35 Public Transportation 22 17 7 46 Drive 6 20 33 62 Total 62 53 58 176
Answer:
We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.
Step-by-step explanation:
hope it helps ig
the bots on here are so annoy!ng
Answer:
I need points so but I dont want to do my home work hi hello
QUESTION: WHATS BETTER
APPLE JUICE OR ORANGE JUICE
Answer:
orange juice is better than Apple Juice
What is the units digit of the sum 1! + 2! + 3! + 4! + 5! + ... + 1000!?
please help if you can