if the r-value, or correlation coefficient, of a data set is 0.854, what is the coefficient of determination to three decimal places?
Answer with explanation:
Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between 0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.
If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.
→Coefficient of Variation=[Correlation coefficient]²
=r²
=(0.854)²
=0.854 × 0.854
=0.729316
=0.730(Approx)
A news anchorman can read 7.5 lines in 0.5 minutes. How many lines can he read in 8.5 minutes? Round the answer to the nearest tenth, if necessary.
A. 15.0 lines B. 127.5 lines
C. 31.9 lines D. 2.7 lines
If the ratio of boys to girls is 1:4 and there are 20 girls in your class, how many boys are there?
Write the resultant if the 2 vectors as an ordered pair.
<5, -2> and <0,0>
which function defines the sequence -6, -10, -14, -18, where f(6)=-26
Mathematics defines function as an expression that points a relationship between two variables.
Sequence is a list of numbers in certain order.
The function that defines the sequence -6,-10,-14,-18 is [tex]\rm f(x)= -4x-2[/tex]
To justify above answer, following calculations are required:Given:
[tex]\rm f(1)=-6\\f(2)=-10\\f(3)=-14\\f(4)=-18\\f(6)=-26[/tex]
Substituting x=1 in function [tex]\rm f(x)= -4x-2[/tex]
[tex]\begin{aligned}\rm f(1)&= -4(1)-2\\&=-6\end[/tex]
x=2
[tex]\begin{aligned} \rm f(2)&= -4(2)-2\\&=-10\end[/tex]
x=6
[tex]\begin{aligned}\rm f(6)&= -4(6)-2\\&=26\end[/tex]
Therefore the function [tex]\rm f(x)= -4x-2[/tex] defines the sequence.
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Which expression is equivalent to 1/4(2−5x+6) ?
Please answer fast!
The equivalent expression for the given expression is 2-5x/8.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 1/4(2-5x+6).
The equivalent expression is
1/4(8-5x)
=8/4 -5x/8
= 2-5x/8
Therefore, the equivalent expression is 2-5x/8.
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To find the equivalent expression to 1/4(2−5x+6), distribute 1/4 to each term inside the parentheses to get 1/2 - 5/4x + 3/2.
To simplify the expression 1/4(2−5x+6), you need to distribute the 1/4 to each term inside the parentheses:
1/4 * 2 = 1/21/4 * (-5x) = -5/4x1/4 * 6 = 3/2Putting it all together, the equivalent expression is 1/2 - 5/4x + 3/2.
Help please! Not sure what this is
what is 9,750,000,000 in scientific notation
what is the inverse of the conditional statement? If a polygon the has five angles, then it is a Pentagon
Answer: The inverse f the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Step-by-step explanation: We are given to write the inverse of the following conditional statement:
"If a polygon the has five angles, then it is a Pentagon".
INVERSE of a conditional statement :
If the conditional statement is
"If p, then q",
then its inverse statement is given by
"If not q, then not p".
Therefore, the inverse of the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Answer:
It is Option C If a polygon does not have five angles then it is not a pentagon.
Step-by-step explanation:
What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
do anyone know how to solve this? need the answer fast.
if triangle rst is an acute angle then m
The sum of five consecutive even integers is 120, what is the 5th number in the sequence
Solve the following equation for x: 6(4x+5)= 3(x+8)+3. Round to the nearest hundredth.
What is the period of the function f(x) shown in the graph?
A data set contains three points, and two of the residuals are -10 and -20. What is the third residual?
The residuals of any data set should get added to zero. If there are three residuals (say A, B, and C) in any data set, then it could be written as A + B + C = 0.
Given are the two residuals -10 and -20 out of three point in a particular data set.
Let's assume A = -10 and B = -20, so that we could find third value C of the given data set.
We know A + B + C = 0
(-10) + (-20) + C = 0
(-30) + C = 0
C = 30
It means that third residual must be 30.
Hence, the final answer is 30.
Answer:
30
Step-by-step explanation:
An architect is designing square windows with an area of ( x 2 + 20x + 100) ft2 . The dimensions of the windows are of the form ax + b, where a and b are whole numbers.
a. Find the dimensions of each square window.
b. Find an expression for the perimeter of a window.
c. Find the perimeter of a window when x = 4.
What is the solution of the system? Use either the substitution method or the elimination method. 4x + 2y = 104x + 2y = 10 x − y = 13x − y = 13
There is no solution.
(3.5, −1)
(6, −7)
(−7.5, 2)
If AB represents 50% , what is the length of a line segment that is 100%
A ----------------------------------------------B. . 3in.
A pair of running shoes costs five dollars more than a pair of regular tennis shoes .. the total cost for both is one 115 $ What is the price of the regular tennis shoes?
What if mac bought8pack of toy boats and then he gave his friend 3boats? If mac has 13 boats now,how many boats were in each pack?
beer Bottles are filled so that they contain an average of 475 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 8 ml.
the hour hand on a clock is 7.5 centimeters long. What distance does the tip travel in one complete rotation,to the nearest centimeter?
Alfred made 21 goals in 3.5 minutes. What is Alfred’s unit rate?
A rectangle 7 feet longer than it is wide find the dimensions of the rectangle if its area is one 198 sq ft.
how many times does a person blink in 1.5 min
420% of what number is 26,565
What is 20 percent of 60
Amount Saved = Original Price x Discount % / 100. So,
Amount Saved = 60 x 20 / 100
Amount Saved = 1200 / 100
Amount Saved = $12 (answer)
Mr.Johansson's truck weighs 3 tons. How many ounces does it weigh
Final answer:
To convert the 3-ton weight of Mr. Johansson's truck to ounces, we multiply 3 tons by 2,000 to get pounds and then multiply that figure by 16 to get 96,000 ounces.
Explanation:
Mr. Johansson's truck weighs 3 tons. To convert this weight to ounces, we need to know that one ton is equal to 2,000 pounds and one pound is equal to 16 ounces.
First, we convert tons to pounds:
3 tons x 2,000 pounds/ton = 6,000 pounds
Next, we convert pounds to ounces:
6,000 pounds x 16 ounces/pound = 96,000 ounces
Therefore, the weight of Mr. Johansson's truck is 96,000 ounces. This conversion showcases the application of the conversion factors between tons, pounds, and ounces, providing a precise measure of the truck's weight in a more universally comprehensible unit.
Final answer:
The truck weighs 96,000 ounces.
Explanation:
To convert tons to ounces, we can use the conversion factor that 1 ton is equal to 32,000 ounces.
So, to find how many ounces the truck weighs, we can multiply the weight of the truck in tons by the conversion factor.
Weight of the truck in ounces = Weight of the truck in tons x Conversion factor
Weight of the truck in ounces = 3 tons x 32,000 ounces/ton
Weight of the truck in ounces = 96,000 ounces.
Explain how you would use a number line to find to find the absolute value of-12
The absolute value of -12 is 12 and we can find it on the number line by going 24 times right from -12.
What is absolute value?The absolute value or modulus of a real number x, and we know that modulas always gives a positive number.
How to determine absolute value?The number which is given in the question is -12 and we have to find the absolute value of this number. To find out the absolute value we have to put this number in modulas.
I -12 I =it will give us 12
to make -12 to 12 we need to first take it to 0 by adding 12 and then from 0 to 12 by adding another 12. We have added 24 to-12 to reach 12.
In this way we can find the absolute value of -12 on number line.
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