Answer: The student will have to pay $900 per month including intrest and a portion of principal
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.55. Assume the amounts are normally distributed with standard deviation $21.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $135? (b) What proportion of bills are between $84 and $143? (c) What is the probability that a randomly selected household had a monthly bill less than $119? Round the answers to at least four decimal places.
Answer:
a) 0.11277
b) 0.83253
c) 0.67364
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
Mean = $109.55.
Standard deviation = $21.00.
a) What proportion of bills are greater than $135?
z = (x-μ)/σ
z = 135 - 109.55/21
= 1.2119
Probability value from Z-Table:
P(x<135) = 0.88723
P(x>135) = 1 - P(x<135) = 0.11277
The proportion of bills are greater than $135 = 0.11277
(b) What proportion of bills are between $84 and $143?
For x = $84
z = (x-μ)/σ
z = 84 - 109.55/21
= -1.21667
Probability value from Z-Table:
P(x = 84) = 0.11187
For x = 143
z = (x-μ)/σ
z = 143 - 109.55/21
= 1.59286
Probability value from Z-Table:
P(x = 143) = 0.9444
The proportion of bills are between $84 and $143
= P(x = $143) - P(x = 84)
= 0.9444 - 0.11187
= 0.83253
(c) What is the probability that a randomly selected household had a monthly bill less than $119?
For x = $119
=119 - 109.55/ 21
= 0.45
Probability value from Z-Table:
P(x<119) = 0.67364
The probability that a randomly selected household had a monthly bill less than $119 is 0.67364
The perimeter of a rectangle is less than 10 inches. The length is x and the width is x − 5. If the solution is x < 5, then the length is less than 5. Is this a viable solution?
Answer: it is a non viable solution
If the length is less than 5 then the width (x - 5) will be less than zero. A rectangle with no width does not exist so this solution is non-viable.
Answer:
non-viable
Step-by-step explanation:
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
-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 : )
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 !
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:
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
What is the difference between -82°F and 93°F?
Answer:
175°F
Step-by-step explanation:
The difference between -82 and 0 is 82.
The difference between 0 and 93 is 93.
Add these two numbers together to find the total difference:
82 + 93
= 175
So, the difference is 175°F
What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
-4 = -7 * 1 + b
-4 = -7 + b
3 = b
y = x + 3
Hope this helps!
Let me know if I'm wrong :)
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.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ2
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.
Learn more about price here: https://brainly.com/question/20763817
question pictured. 15 pooints
Answer:
imagine
Step-by-step explanation:
lol there no picture but lets say its invisible
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
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
Which of the following quantities are inversely proportional?
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
Answer:
Not Inversely Proportional
Step-by-step explanation:
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
Choose the most appropriate name for the function described below.
The efficiency of a car depends on the weight of the car.
A. Weight(car), or W(c)
B. Efficiency(weight), or E(w)
C. Efficiency(car), or E(c)
D. Weight(efficiency), or W(e)
Answer: The answer is Weight(car), or W(c)
Step-by-step explanation: Hope this helps!!
Answer:
THE CORRECT ANSWER IS: EFFICIENCY(weight), or E(w)
Step-by-step explanation:
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 = 50Find 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
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.
Learn more about total cost here
brainly.com/question/29130990
#SPJ2
Complete the expression so it forms a perfect-square trinomial.
x² +
x + 49
Answer:
Step-by-step explanation:
How to add a great answer
ADD YOUR ANSWER
Question
Complete the expression so it forms a perfect-square trinomial.
x² +
x + 49
Answer:
The answer is 14
Step-by-step explanation:
on edge 2020.
what is the minimum of y=lx^2-9l?
Answer:
maximum y=9 and x=0 but the minimum is infinite.
Step-by-step explanation:
Brian bought a fish tank that is 22 in. long, 12 in. wide, and 16 in. tall. Which is the volume of the fish tank?
Answer: 4224 feet cubed
Step-by-step explanation:
Volume for a rectangular tank =LxWxH
22x12x16=4,224
Answer:
4224in^3
Step-by-step explanation:
The formula for volume is height x length x width ( x means multiply)
so to find the volume of the fish tank you multiply each of the sides by each other, 12x16x22. So the volume of the fishtank is 4224 inches cubed(^3) make sure you write the cubed and units at the end, just like how for area you always make it squared.
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.
I need help on this one please
Answer:
the answer is d
Step-by-step explanation:
If g(x) = 1-3/4x; Find -5 * g(4) - 1
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?
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.
please mark as brainliest
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
PLZ HELP WILL GIVE BRAINLIEST