Answer:
6
Step-by-step explanation:
=>root(2) x root(3) x root(6)
=>root(2x3) x root(6)
=>root(6) x root(6)
=>6
The coeffcient of determination is the ratio of the explained variation to the total variation. A. The coefficient of determination is the ratio of the unexplained variation to the total variation. B. The coefficient of determination is the ratio of the total variation to the unexplained variation. C. The coefficient of determination is the ratio of the total variation to the explained variation. D. The coefficient of determination is the ratio of the explained variation to the total variation. Choose the correct answer below. A. The coefficient of determination is a measure of how closely two variables vary together. B. The coefficient of determination is the percent of the variation that is unexplained. C. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y. D. The coefficient of determination is the percent of the predicted values that equal the actual data values. Choose the correct answer below. A. The value 1r is a measure of how closely two variables vary together. B. The value 1r is the percent of the predicted values that equal the actual data values. C. The value 1r is the percent of the variation that is unexplained. D. The value 1r is the percent of variation of y that is explained by the relationship between x and y.
Answer:
D. The coefficient of determination is the ratio of the explained variation to the total variation.
C. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y
Step-by-step explanation:
The Coefficient of determination is the ratio of the explained variation in y to the total variation in y.
Coefficient of determination, r² ;
r² = explained variation / total variation
The coefficient of determination is the proportion of variation in y (predicted value) which is due to the regression line ; Hence, it is the percent of variation of y that is explained by the relationship between x and y.
The two way table shows information about preferred drinks of some people how many males drank only coffee
Answer:
73% The two-way table shows information about the preferred drinks of some people. b a How many males drank only coffee? b What is the probability that any person is male and only drinks coffee? 73% The two-way table shows information about the preferred drinks of some people
find the equation of the line perpendicular to the given line, through the given point x=-3; (1,8)
Answer:
y = 8
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
[Line] x = -3
Point (1, 8)
Step 2: Find Perpendicular Line
A vertical line's slope is undefined.
The negative reciprocal of an undefined slope is 0.
Define perpendicular slope: m = 0Substitute in m [Slope-Intercept Form]: y = 0x + bSimplify: y = bGiven point (1, 8), our y-value is equal to 8.
∴ the perpendicular line is y = 8.
on a tv game show,omar needs answer 7 out of every 10 questions correctly. There will be 30 questions in all
Evaluate -2yx - 4y what's the answer
Answer:
-2y (x+2)
Step-by-step explanation:
remove greatest common factors.
both terms have a (y) and a (-2)
Answer:
-2y ( x - 2 )
Step-by-step explanation:
- 2yx - 4y
factor out -2y from the equation
-2y ( x - 2 )
Can someone help with this
Answer: 28
Step-by-step explanation: ADB = 1/2 ACB
100 + 50
i'll date you if you answer this;)
Answer:
150
Step-by-step explanation:
100 + 50 = 150
ez
Marina spent 1/5 of her money on a book. If she had $80 left after she brought the book, how much money did she have originally?
Answer:
Marina had 50$ originally
Step-by-step explanation:
80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate
Answer:
$100
Step-by-step explanation:
Step 1, setting up an equation:
If Marina spent [tex]\frac{1}{5}[/tex] of her money, she has [tex]\frac{4}{5}[/tex] of her money remaining. We also are given that she has $80 left. We can set her initial total amount of money as x to solve this problem:
[tex]\frac{4}{5}x=80[/tex]
Step 2, solving for x:
[tex]\frac{4}{5}x=80\\\\4x=400\\\\x=100[/tex]
We have set x as her original amount of money, so we have the answer!
Marina originally had [tex]\fbox{100}[/tex] dollars.
I hope this helps! Let me know if you have any questions :)
Data with 950 observations are drawn from a bell-shaped distribution with a mean of 78 and a standard deviation of 19. Approximately how many observations are more than 116
Answer: there are 22 observations that are more than 116.
Step-by-step explanation:
Let x be the random variable.
Given: Sample size = 950
Mean = 78
Standard deviation = 19
The probability that the observations are more than 116 is given by :-
[tex]P(X>116)=P(\dfrac{X-mean}{standard \ deviation}>\dfrac{116-78}{19})\\\\=P(Z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ \ [\text{Using p-value calculator}]\\\\=0.0228[/tex]
Number of observations are more than 116 = [tex]0.0228\times950[/tex]
[tex]=21.66\approx22[/tex]
Hence, there are 22 observations that are more than 116.
PlEaSe HelP mEakwhtb4qhnga
Answer:
d. y = x + 6
Step-by-step explanation:
Equation of AD can be written in the slope-intercept form, y = mx + b
First, find the slope (m) and y-intercept (b) of line AD.
✔️Slope (m) = change in y/change in x
Using two points on line AD, (-5, 1) and (0, 6):
Slope (m) = (6 - 1)/(0 - (-5))
Slope (m) = 5/5
m = 1
✔️y-intercept (b) is the point where the line cuts across the y-axis = 6
b = 6
✔️To write the equation, substitute m = 1 and b = 6 into y = mx + b
y = 1(x) + 6
y = x + 6
Thể tích của khối cầu có bán kính 3a bằng
Answer:
[tex]36\pi {a}^{3} [/tex]
Step-by-step explanation:
Volume = [tex] \frac{4}{3} \times \pi \times (r)^{3} [/tex]
[tex] \frac{4}{3} \times \pi \times {3a}^{3} [/tex]
[tex] \frac{4\pi}{3} \times {3}^{3} [/tex]
[tex] \frac{4\pi}{3} \times 27[/tex]
[tex] \frac{4\pi}{3} \times (3(9))[/tex]
[tex]4\pi \times 9[/tex]
[tex]36\pi {a}^{3} [/tex]
Hope it is helpful...Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.
Answer:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
Step-by-step explanation:
Direct proportional:
Multiplication
Inverse proportional:
Division
The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses
This means that:
[tex]F = k\frac{m_1m_2}{}[/tex]
Inversely proportional to the square of the distance r between the objects.
Denominator is [tex]r^2[/tex]. Thus:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
Gerald is thinking of a number n, and he wants his sister to guess the number. His first clue is that 7 more than 3 times his
number is at least 10 and at most 28. Write a compound inequality that shows the range of numbers that Isabella might be
thinking of.
Write your answer in interval notation. For example-3
Answer:
(1, 7)
Step-by-step explanation:
The number is n.
7 more than 3 times his
number is at least 10 and at most 28.
Thus;
10 ≤ 3n + 7 ≤ 28
Let's solve individually;
10 ≤ 3n + 7
10 - 7 ≤ 3n
n ≥ 3/3
n ≥ 1
Also,
3n + 7 ≤ 28
3n ≤ 28 - 7
3n ≤ 21
n ≤ 21/3
n ≤ 7
Thus, since n cannot be more than 7 or less than 1, it means in interval Notation, the answer is;
(1, 7)
given 12 consecutive integers in how many ways can three of these integers be selected to give a sum which divides by 4?
There are [tex]55[/tex] ways of these integers be selected to give a sum.
Given that:
It has [tex]12[/tex] consecutive integers .
Now,
Definition of consecutive integers :
" Consecutive integers are the integers that follow in the fixed sequence .
Consecutive integers is represented by [tex]n,n+1,n+2,n+3,....[/tex] where [tex]n[/tex] is an integer."
By given :
we have [tex]12[/tex] consecutive integers .
Thus,[tex]n=1[/tex] and substitute the equation is,
[tex]1,(n+1),(1+2),(1+3),(1+4),(1+5),(1+6),(1+7),(1+8),(1+9),(1+10),(1+11)\\\\\implies 1,2,3,4,5,6,7,8,9,10,11,12[/tex]
Now,
Split all the integers into 4 equal parts,
Part 1: Those integers are divisible by [tex]4[/tex] and the remainder be 0.
Then,
[tex]a=0(mod 4)[/tex]
Part 2: Those integer producing the remainder [tex]1[/tex] when it is divisible by [tex]4[/tex].
Then,
[tex]a=1(mod 4)[/tex]
Part 3: Those integer producing the remainder [tex]2[/tex] when it is divisible by[tex]4[/tex].
Then,
[tex]a=2(mod 4)[/tex]
Part 4: Those integer producing the remainder [tex]3[/tex] when it is divisible by[tex]4[/tex].
Then,
[tex]a=3(mod4)[/tex]
Since, three of these integers be selected to give a sum which divides by [tex]4[/tex] is,
In any 12 consecutive integers there are [tex]12\div4[/tex]
i.e. exactly 3 numbers of each category of mod4 namely ,
[tex]0(mod4), 1(mod4), 2(mod4), 3(mod4)[/tex]
Thus, the total combinations of above [tex]5[/tex] categories of sets of [tex]3[/tex] integers are
All the 3 numbers are [tex]0(mod4)[/tex][tex]3C_1=3(1)=3[/tex]
One number be [tex]0(mod4)[/tex] and other two numbers are [tex]2(mod4)[/tex][tex]3C_1*3C_2=3(1)*3=9[/tex]
One number [tex]0(mod4)[/tex] and other numbers [tex]1(mod4)[/tex] & [tex]3(mod4)[/tex][tex]3C_1*3C_1*3C_1=3*3*3=27[/tex]
Two numbers be [tex]1(mod4)[/tex] and one number be [tex]2(mod4)[/tex][tex]3C2 * 3C1 = 3*3 = 9[/tex]
One number be [tex]2(mod4)[/tex] and two numbers be [tex]3(mod4)[/tex][tex]3C1 * 3C2 = 3*3 = 9[/tex]
Thus, sum of the total ways be [tex]12[/tex] consecutive integers of three integers is divisible by 4 is,
[tex]3+9+27+9+9=55[/tex]
Hence, it has [tex]55[/tex] ways.
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You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.
What is your new balance?
Answer:
Correct me if I'm wrong but I'm sure it's -12
Step-by-step explanation:
34+30= 64
64-76= -12
What is the answer. I need it ASAP u have to choose 3 answers
Chester has less than $25 to spend at the county fair. The entrance fee is $5, and each ride costs $3. The number of rides, r, that Chester can go on is represented by the inequality 3r + 5 < 25. Select the most amount of rides Chester can go on without overspending
Answer:
6 rides
Step-by-step explanation:
3r+5<25
3r<20
r<6.67
rides=6
check answer
3r+5<25
3(6)+5<25
18+5<25
23<25
2826666667×(〖1,06〗^n-1)=800000000
(〖1,06〗^n-1)=0,283
〖1,06〗^n=1,283
〖log(1,06)〗^(n )=log( 1,283)
nlog(〖1,06)〗^n=log(1,283)
Answer:
Step-by-step explanation:
the average of students is 15 years if the age of a teacher is included their average becomes 18 years .what is the age of the teacher ?
Answer:
21; the age of the teacher
Step-by-step explanation:
15+x/2=18
Estimate - I estimated in the 20's because it only averaged up a little bit
Started with 23 and kept going until i got to my answer
21
15+21/2
36/2
18
Please mark brainliest :)
Joey has 2/3 of a gallon of ice cream. He divides the ice cream for his friends so that 1/9 of a gallon is in each bowl. How many bowls will he use?
A. 6
B. 1/6
C. 27
D. 1/9
Answer:
Joey will use 6 bowls.
Step-by-step explanation:
We have to divide to solve.
What is [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] ?
When you divide fractions you just multiply by the reciprocal (the fraction flipped.)
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]
[tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex] = [tex]\frac{18}{3}[/tex]
[tex]\frac{18}{3}[/tex] = 6
Joey will use 6 bowls.
If a franchise company wanted to determine why sales were higher at some locations rather than others, what statistical process would be most appropriate? Group of answer choices Regression with sales as an independent variable Regression with sales as the dependent variable Use a confidence interval with the posted speed as the mean Hypothesis testing with a null hypothesis that the sales are less than or equal to the highest sales Hypothesis testing with a null hypothesis that the sales are more than the highest sales
Answer: Regression with sales as the dependent variable
Step-by-step explanation:
Since the franchise company wanted to determine why sales were higher at some locations rather than others, the statistical process that would be most appropriate is regression with sales as the dependent variable.
Regression will be used in determining the strength of the relationship that exist between one dependent variable and the independent variables. In this case, the dependent variable is sales.
∫▒〖e^2x dx〗= ???? thanks
Answer:
Step-by-step explanation:
I=∫e^2x dx
put 2x=t
2dx=dt
dx=dt/2
I=1/2∫e^t dt
=1/2 e^t+c
=1/2 e^{2x}+c
Simplify the following expression
7-5/6 × 7-7/6
[tex]\longrightarrow{\blue{ 0 }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex]7 - ( \frac{5}{6} \times 7) - \frac{7}{6} [/tex]
[tex] = 7 - \frac{35}{6} - \frac{7}{6} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for the denominators.
The L. C. M is 6.
Now, multiply the L.C.M. with both numerator & denominator.
[tex] = \frac{7 \times 6}{1 \times 6} - \frac{35}{6} - \frac{7}{6} [/tex]
Now that the denominators are equal, we can add/subtract them.
[tex] = \frac{42- 35 - 7}{6} [/tex]
[tex] = \frac{42 - 42}{6} [/tex]
[tex] = \frac{ 0}{6} [/tex]
[tex] = 0[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
A filling machine fills bottles of nail polish with amounts that are normallydistributed with mean 18 mL and standard deviation 0.6 mL. A random sample of 12 bottles of this nail polish is selected for inspection.
Required:
a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?
b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?
Answer:
a. 0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish
b. 0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean 18 mL and standard deviation 0.6 mL.
This means that [tex]\mu = 18, \sigma = 0.6[/tex]
a. What is the probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish?
This is the p-value of Z when X = 17.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17.5 - 18}{0.6}[/tex]
[tex]Z = -0.83[/tex]
[tex]Z = -0.83[/tex] has a p-value of 0.2033
0.2033 = 20.33% probability that one of the randomly selected bottles is filled with less than 17.5mL of nail polish.
b. What is the probability that the average fill of the twelve bottles is more than 17.5mL?
Twelve bottles, so now [tex]n = 12, s = \frac{0.6}{\sqrt{12}}[/tex]
The probability is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{17.5 - 18}{\frac{0.6}{\sqrt{12}}}[/tex]
[tex]Z = -2.89[/tex]
[tex]Z = -2.89[/tex] has a p-value of 0.0019
0.0019 = 0.19% probability that the average fill of the twelve bottles is more than 17.5mL
the area of a square is 196m2. What is the length of one side
Answer:
14
Step-by-step explanation:
Simply take the square root of 196.
Hope that this helps!
Answer:
The side length is 14 m
Step-by-step explanation:
The formula for the area of a square is A = s^2, where s represents the length of one side.
If A = s^2 = 196m^2, we find the side length by taking the square root of both sides:
s = √(196 m^2) = 14 m
The side length is 14 m
Q- getting a number greater than 3 or an odd number?
Step-by-step explanation:
So one's chance of getting a number greater than 3 is 3 chances out of 6 numbers that could be rolled or 1/2. Then we determine what the chances are of getting an ODD number. That includes 1, 3, & 5. So one's chance of getting an odd number is 3 chances out of the 6 numbers on the die, which is also 1/2.
HELP MATH ANSWER QUESTION
the answer is in the picture
Consider function g.
6,
-8 < x <-2 2
g(x) =
0,
-2
-4, 4 < x < 10
What are the values of the function when x = -2 and when r = 4?
gl-2)
=
3
g(4)
=
N
[tex]x = - 2 \: then \: g( - 2) = 0 \\ x = 4 \: then \: g(4) = - 4.[/tex]
Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is
g(x) = - 4.
What is composite function?A composite function is created when one function is substituted into another function.
Given
Composite Function g
g(x) = 6, -8 ≤ x ≤ -2
g(x) = 0, -2 ≤ x ≤ 4
g(x) = -4, 4 ≤ x ≤ 10
The values of the function when x = -2
x is between -2 and 4
g(x) = 0, -2 ≤ x ≤ 4
Thus, The values of the function when x = -2 is g(x) = 0
The values of the function when x = 4
x is between 4 and 10
g(x) = -4, 4 ≤ x ≤ 10
Thus, The values of the function when x = 4 is g(x) = - 4
Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is
g(x) = - 4.
Learn more about composite function here
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A business is interested in employees’ job satisfaction. The regional manager places a name card for every employee into a bowl and randomly selects 10 cards. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answer:
B
Step-by-step explanation:
Answer: simple random sampling
AKA: B
Step-by-step explanation: guy above me is correct :)
Your aunt is asking your help in figuring out how to
maximize profit for her pottery business. She makes
$35 on a bowl and $30 on a plate. She has just
ordered 40 pounds of clay. A bowl uses 5 pounds of
clay and a plate uses 4 pounds of clay. She already
has orders to make 4 bowls. How many bowls and
plates should she make in order to maximize her profit?
Step 1: Identify your variables and write the objective
function
What does x represent? What does y represent?
Answer:
650
Step-by-step explanation: