Answer:
(1) The cost formula is: y = $19,050 + $12·x.
(2) The cost of moving materials if 340 moves are made is $23,130.
(3) 82.81% of the variability in moving cost is explained by the number of moves.
Step-by-step explanation:
The computer output for the regression analysis of 80 data points is as follows:
Intercept: $19,050
Slope: 12
Coefficient of correlation: 0.91
Standard error: $220
(1)
The general formula of regression equation is:
y = a + b·x
Here,
a = intercept
b = slope
The cost formula is:
y = $19,050 + $12·x
(2)
Predict the cost of moving materials if 340 moves are made as follows:
[tex]y = 19050 + 12\cdot x\\=19050+12\times 340\\=19050+4080\\=23130[/tex]
Thus, the cost of moving materials if 340 moves are made is $23,130.
(3)
The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).
The coefficient of determination R² can be computed by squaring the correlation coefficient value.
[tex]R^{2}=(r)^{2}=(0.91)^{2}=0.8281[/tex]
Thus, 82.81% of the variability in moving cost is explained by the number of moves.
Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hot dogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hot dogs, 4 drinks, and 2 pretzels. the Cho family spent $13.75 on 2 hot dogs, 1 drink, and 3 pretzels. What is the price of one pretzel?
Answer:
Price of one pretzel = $1.5
Step-by-step explanation:
Let the price of a hot dog = [tex]x[/tex]
Let the price of a drink = [tex]y[/tex]
Let the price of a pretzel = [tex]z[/tex]
As per the given question statement:
[tex]3x+2y+z=\$16.50..... (1)\\4x+4y+2z=\$26........ (2)\\2x+y+3z=\$13.75..... (3)[/tex]
To find:
The price of one pretzel, i.e. [tex]z=?[/tex]
Multiplying (3) with 2 and subtracting (1) from it:
[tex]x+5z=11[/tex] ..... (4)
Multiplying (3) with 4 and subtracting (2) from it:
[tex]4x+10z=29[/tex] ..... (5)
Multiplying (4) with 4 and subtracting (5) from it:
[tex]10z=15\\\Rightarrow z =\bold{1.5}[/tex]
The price of one pretzel is $1.50.
Calculation of the price:Let the price of a hot dog = x
Let the price of a drink = y
Let the price of a pretzel = z
So,
The equations are
3x + 2y + z = $16.50 .....(1)
4x + 4y + 2z = $26..........(2)
2x + y + 3z = $13.75........(3)
Now
Here we Multiplying (3) with 2 and subtracting (1) from it:
So, it gives x + 5z = 11 ......(4)
Now
Multiplying (3) with 4 and subtracting (2) from it:
So, 4x + 10z = 29...(5)
Now
Multiplying (4) with 4 and subtracting (5) from it:
So, 10z = 15
x = 1.5
Therefore, The price of one pretzel is $1.50.
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What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP
Answer:
-5
Step-by-step explanation:
-4x +10 =5(x +11)
-4x +10 =5x +55
-4x - 5x =55 - 10
-9x =45
x=-45 :9
x=-5
Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Calculate how much interest she will pay over the 5 years?
How much will Leah have to pay back in total
Answer:
She will pay $7,500 interest over the 5 years
She will have to pay back $17,500 in total
Step-by-step explanation:
Let us revise the rule of the simple interest
I = Prt and A = P(1 + rt) , where:
A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
∴ P = 10,000
∴ t = 5
∴ r = 15% = [tex]\frac{15}{100}[/tex] = 0.15
→ Substitute them in the first rule to find the interest
∵ I = 10,000(0.15)(5)
∴ I = 7,500
∴ She will pay $7,500 interest over the 5 years
→ Let us find A
∵ A = 10,000(1 + 0.15×5)
∴ A = 17,500
∴ She will have to pay back $17,500 in total
SOMEONE HELP ME PLSS!! IT DUE TODAY!!
I think its D I hope you do good on your test! Good luck!
You are saving to buy a new car. You currently have $500. You need $1200 to
purchase the car you want and you make $11.50 an hour babysitting.
PLEASE HELP
guys whats 1 + 1?
im rly confused plz help
Serious Answer:
It's 2, you can use the calculator
Joke Answer:
Uhh it's 11 !
10 times the quotient of 6 and 3
Answer:
20
Step-by-step explanation:
because first you do 6/3 because thats what quotient means which equals to 2 and then you do 10*2 which gives you 20
Find f(7) given f(x) = 5x+ x + 2
Answer:
44
Step-by-step explanation:
hi! we can plug in 7 for each x in this equation.
f(7)=5(7)+7+2
=35+7+2
=35+9
=44
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make pillows and 3 yards to make curtains how much fabric is remaining
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
Please mark as brainliest.
When Xander arranges his pennies into a rectangle with more than one row, he always has some leftover pennies. When he uses two equal rows or three equal rows, he has one leftover penny. When he arranges them into a rectangle with four equal rows, he has three leftover pennies. Remember he has between 10 and 40 pennies total. How many pennies does Xander have?
Answer:
20
Step-by-step explanation:
hope this was right and helpful
PLZ HELP WILL GIVE BRAINLIEST
Can y’all help me pls
Answer:
Step-by-step explanation:
boiii this look are as a mf
For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?
Answer:
30 adult tickets,50 kids ticketsStep-by-step explanation:
Given
Cost of adult ticket = $8.50Cost of kids ticket = $7.00Number of tickets = 80Total cost = $605Let the adult ticket be a and kids be k
We got equations
a + k = 808.5a + 7k = 605From the first equation we get
k = 80 -aSubstituting k in the second equation
8.5a + 7(80 - a) = 6058.5a - 7a + 560= 6051.5a = 45a = 45/1.5a = 30Then finding k
k = 80 - 30 = 50Katie deposited $1,000 in the bank for 7years. She earned a simple interest rate of 2.5%. How much interest did she earn? Round your answer to the nearest cent.
Answer:
$188.69
Step-by-step explanation:
1000 x 1.07^7 = $1188.69
1188.69-1000 = $188.69
Answer:
i will say $188.69
Step-by-step explanation:
hope i helped u and hope to get a Brainliest
byee :)
-2•f(-6) - 7•g(-7)
Can someone please help me
Answer:
Your answer is: 12f + 49g
Simplify each term.
Step-by-step explanation:
Hope this helped : )
question pictured. 15 pooints
Answer:
imagine
Step-by-step explanation:
lol there no picture but lets say its invisible
Find the midpoint of the segment with the given endpoints. (-1,3) and (-3,-9)
Answer:
( -2,-3) is the midpoint
Step-by-step explanation:
To find the x coordinates of the midpoint, add the x coordinates of the endpoints and divide by 2
( -1+-3)/2 = -4/2 =-2
To find the y coordinates of the midpoint, add the y coordinates of the endpoints and divide by 2
( 3+-9)/2 = -6/2 =-3
( -2,-3) is the midpoint
Gilberto needs to purchase baseballs and bats for his youth baseball league. He'll need at least 15 pieces of equipment, but he only has $435 to spend. Baseballs cost $20 each and bats cost $35 each. If Gilberto wants to purchase the most amount of equipment and still stay within his budget, which combination of baseballs and bats is optimal? (2 points)
a (20, 1)
b (13, 5)
c (13, 2)
d (10, 5)
Answer: A) (20, 1)
Step-by-step explanation: Largest number
What is the least common multiple of 4 and 12?
Answer:
The lcm (least common multiple) of 4 and 12 is 12.
Step-by-step explanation:
Find the prime factorization of 4
4 = 2 × 2
Find the prime factorization of 12
12 = 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3
LCM = 12
The Least common multiple of 4 and 12 is 12.
I hope this helps!
Anna has 1 more than half the number of pets her friend does. Anna has 3 pets.
Answer:
Anna's friend has 4 pets.
Step-by-step explanation:
Anna has 3 pets.
3-1=2
2x2=4
How do you multiply 12x12 step by step?
Answer:
144
Step-by-step explanation:
12
X12
------
If you are writing this problem out by hand, be sure that your numbers are lined up, like above. This will help you in making sure that you solve each step of your problem properly.
First, start with the 12. Multiply 12 by the "2" in the one's place, in the second number:
12
X 2
-----
Begin by multiplying 2 X 2 first, in the "ones" column.
Do you have 2X2=4? Great! Put the 4 in the ones column, where your answer would go.
Next, multiply 2 times the 1 digit. The 1 is actually a 10, because it is in the "tens" column.
2 X10=20
Place your 2 in the "tens" column--It should look like this...
12
X 2
-----
24
Since you are finished with the "ones" place, now you will work with the tens column.
put a zero under the 4 in 24.
then continue like this
12
X12
-----
24
120 because 12 X10=120
------
144 If you add 24 +120, you should have 144.
If you have a slightly different way of doing this problem, that's OK. The point is to get the correct answer.
If you have a times table, you can check yourself.
12 X12=144
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The result of 12×12 is 144.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
To multiply 12×12 can be done as
1 2
× 1 2
______
1. Multiply 2 to 2, therefore, you will get the first term, thereafter, multiply 2 to 1.
1 2
× 1 2
______
2 4
2. Next, leave the place below the first digit and start to multiply 1 to 2 and then to 1 to 1. Therefore,
1 2
× 1 2
______
2 4
+ 1 2 0
3. Now add the term you will get the final result, therefore,
1 2
× 1 2
______
2 4
+ 1 2 0
________
1 4 4
Hence, the result of 12×12 is 144.
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solve for n
-53 + n = -28
Answer:
25
Step-by-step explanation:
-53 + n= -28
-53 + 53 + n = -28 + 53
n = 25
Answer: -81
Step-by-step explanation: -53 + n = -28
= n = -53/-28
= -81 as you should put the sign of the bigger no.
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If g(x) = 1-3/4x; Find -5 * g(4) - 1
To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $53.95 , a hat costs $17.95 , and a pair of cleats costs $29.95 . What is the total cost for a team of 12 players?
Answer:
1222.2
explanation:
53.95 x 12 = 647.40
17.95 x 12 = 215.40
29.95 x 12 = 359.40
647.40 + 359.40 + 215.40 = 1222.2
The total cost for a team of 12 players as per given cost of different equipment's is equal to $1222.20.
To calculate the total cost for a team of 12 players,
Add up the costs of the required equipment for each player.
The equipment includes a glove, a hat, and a pair of cleats.
Cost of one glove = $53.95
Cost of one hat = $17.95
Cost of one pair of cleats = $29.95
Now, we need to calculate the total cost for each player by adding the costs of all three items:
Total cost per player = Cost of glove + Cost of hat + Cost of cleats
Total cost per player = $53.95 + $17.95 + $29.95
Total cost per player = $101.85
Finally, to find the total cost for a team of 12 players, multiply the total cost per player by the number of players:
Total cost for the team of 12 players = Total cost per player × Number of players
Total cost for the team of 12 players = $101.85 × 12
Total cost for the team of 12 players = $1222.20
Therefore, the total cost for a team of 12 players is $1222.20.
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Trey’s grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.
What is the area of a picture with side lengths that are 12 inches? Use the formula A= s^2, where s is the length of one side.
A. 12in.^2
B. 144in.^2
C. 24in.^2
D. 288in.^2
Answer:
B, 144in.^2 :)
Step-by-step explanation:
The area of a picture with side lengths that are 12 inches is 144 inches²
It should be noted that a square has four sides that are equal. In this case, we've been given the side of one of the lengths to be 12 inches.
Therefore, the square of the sides will be 12 inches multiplied by 12 inches. This will then be:
Area of a square = side ²
Area = 12 inches × 12 inches
Area = 144 inches²
Therefore, the area of a picture with side lengths that are 12 inches is 144 inches ²
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Lin ran 2 ⅔ miles in ⅖ of an hour. Noah ran 8 ⅔ miles in 4/3 of an hour.
Who ran faster, Noah or Lin?
How far would Lin run in 1 hour?
How far did Noah run in 1 hour?
How long would it take Lin to run 1 mile at that rate?
How long would it take Noah to run 1 mile at that rate?
Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.
1.
Subtract 24 from the product
of 12 and 8. 24
Answer:
12 multiplied by 8.24=98.88
Subtract 24 from 98.88=74.88
Divide 6 / 1/4 =
giving brainliest
Answer:
24
Step-by-step explanation:
i showed my work
Answer:
Here we will show you how to calculate 6 divided by 1/4. We will give you the answer in fraction form and in decimal form.
Here is 6 divided by 1/4 displayed mathematically in colors:
6
÷
1
4
The numbers in 6 divided by 1/4 are labeled below:
6 = whole number
1 = numerator
4 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 4
1
=
24
1
Thus, the answer to 6 divided by 1/4 in fraction form is:
24
1
To make the answer to 6 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
24 / 1 = 24
The answer is rounded to the nearest two decimal points if necessary.
24/1 is an improper fraction and should be written as 24.
Step-by-step explanation:
How do you do the second part of the problem?
Answer:
8
Step-by-step explanation:
According to the Alternating Series Estimation Theorem:
│aₙ₊₁│≤ ε
1 / (4 (n + 1)⁴) ≤ 0.00005
4 (n + 1)⁴ ≥ 20000
(n + 1)⁴ ≥ 5000
n + 1 ≥ 8.41
n ≥ 7.41
n must be an integer, so n ≥ 8.