Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
You have fit a regression model with two regressors to a data set that has 20 observations. The total sum of squares is 1000 and the model sum of squares is 750.(a) What is the value of R2 for this model?(b) What is the adjusted R2 for this model?(c) What is the value of the F-statistic for testing the significance of regression? What conclusions would you draw about this model if α = 0.05? What if α = 0.01?(d) Suppose that you add a third regressor to the model and as a result, the model sum of squares is now 785. Does it seem to you that adding this factor has improved the model?
Answer:
0.75
0.7205882
25.5
Result is significant at α = 0.01 and α = 0.05
Model improved
Step-by-step explanation:
Given that:
Number of observations (n) = 20
Total sum of squares (SST) = 1000
Model sum of squares (SSR) = 750
1) R² = SSR / SST = 750 / 1000 = 0.75
2.)
Adjusted R² = [(SST - SSR) /(n-k-1)] / (SST ÷ (n - 1))
k = number of regressors = 2
Adj R² = 1 - ((1000 - 750) / (20-2-1)) / (1000 / (20 - 1))
1 - 0.2794117 = 0.7205882
3.) Fstat = (SSR / k) / ((SST - SSR) / (n - k-1))
= (750 /2) / ((1000 - 750) / (20 - 2 - 1))
= 25.5
4.) At α = 0.05
Fα,k,(n - k-1) = F0.05, 2, (20 - 2 - 1) = F0.05,2, 17 = 3.5915 (f distribution calculator)
Fstat > F0.05, 2, (20 - 2 - 1)
25.5 > 3.5915 (Hence result is significant at α = 0.05
At α = 0.01
Fα,k,(n - k-1) = F0.01, 2, (20 - 2 - 1) = F0.01,2, 17 = 6.112 (f distribution calculator)
Fstat > F0.01, 2, (20 - 2 - 1)
25.5 > 6.112 (Hence result is significant at α = 0.01
Adjusted R² if a 3rd regressors is added : k = 3
Adjusted R² = [(SST - SSR) /(n-k-1)] / (SST ÷ (n - 1))
k = number of regressors = 3
SSR = 785
Adj R² = 1 - ((1000 - 785) / (20-3-1)) / (1000 / (20 - 1))
1 - 0.2553125 = 0.7446875
Adjusted R² value is now 0.7446875 which is greater than with 2 regressors,. Hence, adding a third regressors improved the model.
A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.
Which conclusion is most appropriate based on the correlation coefficient of the data?
There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.
Answer:
There is a strong positive relationship, therefore as x increases, y increases
Step-by-step explanation:
Tell whether 20 is a factor or multiple of the number 10, 20, 30.
Can u plz help me with the number 9?
please help if u can
Answer:
the function is both even and old
Step-by-step explanation:
after solving this is answer which i provided
Find the distance between (6,4) and (-6,-5) by using the distance formula
Answer:
[tex]\boxed {d = 15}[/tex]
Step-by-step explanation:
Use the Distance Formula to help determine the distance between two given points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Substitute both given points:
[tex](x_{1}, y_{1}) = (6, 4)[/tex]
[tex](x_{2}, y_{2}) = (-6, -5)[/tex]
[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]
[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]
[tex]d = \sqrt{144 + 81}[/tex]
[tex]d = \sqrt{225}[/tex]
[tex]\boxed {d = 15}[/tex]
Therefore, the distance is [tex]15[/tex].
A new car is for lease for $315 per month with a down payment of $705. What is the cost for 33 months for this vehicle?
Margaret is making strawberry milkshakes for the kids party. The recipe calls for 1/3 of a cup of strawberry syrup to make 8 milkshakes. How many cups of Strawberry syrup are needed to make 48 milkshakes?
A.) 3
B.)2
C.)16
D.) 8
Answer:
B. The answer is 2 cups.
If the r-value, or correlation coefficient, of a data set is 0.841, what is the
coefficient of determination to three decimal places?
Answer: 0.707
Step-by-step explanation:
Answer: 0.707 is the correct answer!!
Step-by-step explanation:
the sunshine Club collected 524 cans for a canned food drive. the cans were then split up equally into 8 boxes.
Part A how many can were in each box?
Part B how many can were left over after the boxes were filled?
A hobby store pays $20 wholesale for drones and marks them up 40%. What is the retail price of each drone?
Answer:
$28.00
Step-by-step explanation:
20 x 1.4
Answer:
$28
Step-by-step explanation:
To find the retail price you have to find 40% of 20 and then add that value to 20.
To find 40% of 20 let's convert 40% into decimal form: 0.4
Then you multiply: 20 * 0.4 = 8
Now you add 8 to the original 20: 20 + 8 = 28
The retail price of each drone is $28.
I hope this helps :)
(a) Assume that every time you hear a song on the radio, the chance of it being your favorite song is 2%. How many songs must you listen to so that the probability of hearing your favorite song exceeds 90%?
(b) Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed for your 8am CSE 21 class, so you just pull socks out of the drawer at random, one at a time, until you have removed two matching socks. What is the probability that you pull out exactly 5 socks from your sock drawer in the morning?
Answer:
a)
hearing one song = 2%
90/2 = 45
hearing song 45 times = 90%
Answer:
you would have to listen to 40 songs to get 90%
Step-by-step explanation:
40 POINTS! PLEASE HELP
Write a system of inequalities to represent the shaded portion of the graph.
See image attached
Answer:
y ≤ - x + 4y > 1/3xStep-by-step explanation:
Finding the equation of the lines using points on the graph
1. Points (0,4) and (4, 0)
m = (0-4)/(4-0) = -4/4 = -1y = -x + 42. Points (0, 0) and (3,1)
m = (1-0)/(3-0) = 1/3y = 1/3xInequalities are:
y ≤ - x + 4y > 1/3x3 The lyy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. (a) Part A How many cans were in each box? Part B How many cans were left over after the boxes were filled? (b) А 65.5 cans < NEXT
Answer:
sorry I wish I could it help you but if you have any other question let me know
6x = 10y - 10
x + y + 7 = 0
What is x and y?
Answer:
x=(-5)
y=(-2)
Step-by-step explanation:
Answer:
(-5, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
6x = 10y - 10
x + y + 7 = 0
Step 2: Rewrite systems
6x = 10y - 10
y = -x - 7
Step 3: Solve for x
Substitute: 6x = 10(-x - 7) - 10Distribute 10: 6x = -10x - 70 - 10Combine like terms: 6x = -10x - 80Add 10x to both sides: 16x = -80Divide 16 on both sides: x = -5Step 4: Solve for y
Define: x + y + 7 = 0Substitute: -5 + y + 7 = 0Combine like terms: y + 2 = 0Subtract 2 on both sides: y = -2And we have our answer!
five men build a wall in 10 days how long will it take 10 men
Answer:
5 Days ....thats easy....
Hope this answer is correct ..
Have a nice day ahead
Answer:
20 days
5 x 2 = 10
10 x 2 = 20
GIVING BRAINLIEST FOR WHO ANSWERS FIRST!
Answer:
its simple its C
Step-by-step explanation:
forget humanity and return to monke
Answer:
I think It might be B
Step-by-step explanation:
84 - 60
Im not sure though
82 divided by 10 1/2
Answer:
164/21
Step-by-step explanation:
82÷10 1/2
82÷21/2
82×2/21
164/21
So the Answer is 164/21
The value of the division of the 82 by 10¹/₂ is 164/21.
The mixed number (10 1/2) can be changed into an improper fraction in order to divide 82 by it. In order to do this, we multiply the whole number (10), by the fraction's denominator (2), and then add the numerator (1).
This gives us 10 x 2 + 1 = 21.
So, 10 1/2 can be written as the improper fraction 21/2.
To divide 82 by 21/2, we can multiply 82 by the reciprocal of 21/2. The reciprocal of a fraction is found by flipping the numerator and the denominator.
Therefore, the reciprocal of 21/2 is 2/21.
Multiply 82 by 2/21:
82 x (2/21) = 164/21.
So, 82 divided by 10 1/2 is equal to 164/21.
To know more about division follow
https://brainly.com/question/29047852
#SPJ6
Please help!
5x-21 > 15
A. x<-1 or x > 5
B. -1
C. x < -5 or x > 5
D. -5
Add simplify the answer and write it as a mixed number 7 3/7 + 3 3/5
You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.
52/7 = 260/35
18/5 = 126/35
Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35
Why is it important to read division problems carefully before giving the answer
Answer:
Because, like with any problem, it is possible to make mistakes. With division, if you place a number in the wrong order or forget to remove a negative sign, the answer will obviously be wrong.
Step-by-step explanation:
Help? If you can.
Questions 5-9 ONLY
Answer:
My answer got deleted for some reason so lemme try again:
Answer:
5. A
6. B
7. 115
8. 97
9. 123
Step-by-step explanation:
5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc
6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles
7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8
8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6
9. m<1 and m<6 add up to 180 degrees.
Local Savings Bank has a $35 overdraft fee. On Friday, Mr. Baratheon
deposited his paycheck of $368.92 for a total account balance of
$712.34. The next morning, his wife wrote a check for $1,000.00 for a
new refrigerator and stove. The check cleared the bank by the end of the
day. What is the current balance in his account?
Answer:
-287.66
Step-by-step explanation:
The sum of a number g squared and 4 is greater than or equal to −5.
Answer:
g^2 + 4 > -5
Step-by-step explanation:
sum implies addition so add it with 4
i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol
Answer:
[tex]g\geq +/- 3i[/tex]
Step-by-step explanation:
Using clues given in the problem, we can set up a solvable inequality.
A number g squared: [tex]g^{2}[/tex]
The sum of a number g squared and 4: [tex]g^{2}+4[/tex]
Is greater than or equal to: [tex]g^{2}+4\geq[/tex]
Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]
Isolate [tex]g[/tex]:
[tex]g^{2}\geq -9[/tex]
Solve for [tex]g[/tex]:
[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]
This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].
[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]
[tex]g\geq +/-3i[/tex]
I hope this helps!
how much sugar is in a 1 l bottle of soda
Answer:
Step-by-step explanation:
It is about 52 grams of sugar in one bottle of soda.
Answer:
It contains a 108 grams of sugar
Doing a survey another question I’m stuck on plz help if you understand !!tyy
Answer:
29 legs I believe
A tree initially measured 18 feet tall. Over the next 3 1/2 years
Answer:
5 ft/yr
Step-by-step explanation:
This is the whole question: A tree initially measured 18 ft tall. Over the next 3 1/2 years, it grew to a final height of 35 1/2 feet. During those 3 1 /2 years, what was the average yearly growth rate of the height of the tree?
The tree grew 35.5 - 18 ft = 17.5 feet in 3.5 years
This average leads to 17.5 ft / 3.5 yr = 5 ft/yr
The question is incomplete, the complete question is;
A tree measured 18 feet tall. Over the next 3 1/2 years, it grew to final height of 35 1/2 feet. During those 3 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
5 feet per year
Step-by-step explanation:
Given that the initial height of the tree = 18 feet
Final height of the tree = 35.5 feet
Time interval = 3.5 years
Now;
Increase in length of tree = Final height of the tree - initial height of the tree
Increase in length of tree = 35.5 - 18 = 17.5 feet
Rate of growth of tree = increase in height of tree/ time taken
Rate of growth of tree = 17.5 feet/ 3.5 years
Rate of growth of tree = 5 feet per year
The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24
Answer:
[tex]Rate = \$0.5[/tex] per cookie
Every cookie is sold at $0.5
Step-by-step explanation:
See attachment for complete question
Required
Determine the unit rate
To solve this, we simply take any corresponding values of Cost of cookies and number of cookies
When
Cost = $2
Number = 4
[tex]Rate = Cost/Number[/tex]
[tex]Rate = \$2/4[/tex]
[tex]Rate = \$0.5[/tex] per cookie
Pick another corresponding values
When
Cost = $6
Number = 12
[tex]Rate = Cost/Number[/tex]
[tex]Rate = \$6/12[/tex]
[tex]Rate = \$0.5[/tex] per cookie
Hence, the unit rate is $0.5 per cookie
What it represents is that: Every cookie is sold at $0.5
use the grid 0.55+ 0.29?
Answer:
It Is 0.84
Step-by-step explanation:
0.55
0.29 +
______
0.84
Hope that helps...
Brainliest??!! :-) (*_*) :-0 :-D :D
(8x - 20)°
(3x + 5)°
Answer:
Step-by-step explanation:
Simplifying :8x + -20 = 3x + 5
Reorder the terms:-20 + 8x = 3x + 5
Solving:-20 + 8x = 5 + 3x
Add '-3x' to each side of the equation:-20 + 8x + -3x = 5 + 3x + -3x
Combine like terms: 8x + -3x = 5x :-20 + 5x = 5 + 3x + -3x
Add '20' to each side of the equation:-20 + 20 + 5x = 5 + 20
Combine like terms: -20 + 20 = 0 :0 + 5x = 5 + 20
5x = 5 + 20
Divide each side by '5':x = 5
Simplify:x=5