By 2 = 2290
By 3 = about 1526.6667 or you can just write 4580/3
By 5 = 916
By 9 = about 508.8889
By 10 = 458
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
You start at(-5, -4) you move down 1 unit and up 1 unit where do you end?
Answer:
-5,-4
Step-by-step explanation:
-5,-4
down 1 unit: -5,-3
up 1 unit: -5,-4
Please ill give brainliest and all my points just help me
ANSWER:
Minivan
EXPLANATION:
To determine the unit rate, take the miles and divide by the gallons
Truck:
120 miles / 8 gallons = 15 miles per gallon
Minivan:
180 miles /10 gallons = 18 miles per gallon
The minivan travels more miles per gallon
ANSWER:
Adam
EXPLANATION:
To determine the unit rate, take the charge and divide by the acres
Joshua:
$40 / 2 acres = $20 per acre
Adam:
$30 / 1.2 acres = $25 per acre
Adam charges more per acre
ANSWER:
Ellen
EXPLANATION:
To determine the unit rate, take the seconds and divide by the meters.
Ellen:
28 seconds / 200 meters = .14 seconds per meter
Lindsay:
60 seconds / 400 meters = .15 seconds
Ellen runs faster than Lindsay
100 POINTS PLS SOLVE !! ::
k-4 /9 =3
8+b /-4 = -5
Answer:
k = 31/9 b = 12Step-by-step explanation:
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
----------------------------
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
k = 31/9
b = 12
proofing my answer is correct
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
----------------------------
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
What is the equation in point-slope form of a line perpendicular to y= ⅕ x+8, through the point (-2, 3) *
Answer:
it was right but ok
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
please help me with this Geo question
Answer:
x = 31
Step-by-step explanation:
4x + 38 = 2x + 10 + 90
2x = 62
x = 31
I need help on this one please
Answer:
the answer is d
Step-by-step explanation:
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:
Four more than three times a number (x) is at least nineteen Inequality:
Answer:
x >= 5
(x is greater and equal than 5)
Step-by-step explanation:
4+3x >= 19
3x >= 19-4
3x >= 15
x >= 5
You can see my other article just search in search engine with: Learningandassignments diy4pro
hope it helps
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:
How many meters are equivalent to 2 miles?
Units of Length
O 1.242 meters
O 3.22 meters
Customary System
Units
Metric System Units
O 1,242 meters
O 3,220 meters
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
Answer: D 3,220 meters
Step-by-step explanation:
I did it
Answer:
The correct answer is D, please give the person above me brainliest
Step-by-step explanation:
#edge2020
The Lovin lemon company sells a 4 gallon jug of lemonade for $24 dollars. The sweet and Sour company sells an eight pack of 1 quart bottles of lemonade for $16 dollars, which company has a higher unit price?
Answer:
lovin lemon co. sells 1 gallon for 24/4 = $6
sweet & sour co. sells 8 qt = 2 gallons for 16/2 = $8
Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total population. One model to test for a relationship is log1rent 2 5 b0 1 b1log1pop2 1 b2log1avginc2 1 b3pctstu 1 u. (i) State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. (ii) What signs do you expect for b1 and b2? (iii) The equation estimated using 1990 data from RENTAL for 64 college towns is
Step-by-step explanation:
The regression equation is correctly written as:
log(rent) = β₀+β₁log(pop)+β₂log(avginc)+β₃pctstu+μ
1. this question requires us to State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents.
null hypothesis
H₀ : β₃ = 0 (no effect exists)
alternative that there is an effect.
H₁ : β ≠ 0
2.
Due to increased demand when population is increased, the higher the number of people living in the city then there is a great likelihood that rent would increase. β1 will therefore be positive, all things being equal.
as average income rises, so also would rent as the people would have more money and therefore there would be increased demand for housing. This increase in demand would then cause a surge in the price of rent. β₂ would therefore be positive .
the last question you posted is incomplete so i was unable to go ahead with it.
Tara bought 2 bottles of juice each day for 18 days. On the 19th day, Tara bought 7 bottles of juice.
Choose the expression that matches the description.
A (2 × 18) − 7
B (2 × 19) + 7
C (2 × 18) + 7
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
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
The same amount of principal is invested in different accounts earning the same interest rate. Which of the following
accounts would have the greatest accumulated value at the end of one year?
a. An account earning no interest
b. An account earning simple interest
C. An account earning interest compounded annually
d. An account earning interest compounded daily
Please select the best answer from the choices provided
.
А A
OB
С
D
Answer:
d. An account earning interest compounded daily
Step-by-step explanation:
An account earning interest compounded daily will have the greatest accumulated value at the end of one year.
Compound interest provides a higher return on value compared to simple interest even much more so when it is done daily.
Compound interest is an interest accrued on the principal and subsequent interest on capital. Simple interest is simply interest on the capital alone. The time duration plays an important role. A principal compounded daily at a certain rate will yield more value at the end of a year than one compounded weekly, monthly, quarterly or annually.Therefore, an account earning interest compounded daily will give a better return of value.
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.
The difference between the areas of the figures is less than 6.
Answer:
|24 - (2x - 6)| < 6
x > 12 or x < 18 (12 < x < 18)
Step-by-step explanation:
Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²
Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²
Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:
|24 - (2x - 6)| < 6
Solve to find the solution of the inequality by splitting into two as follows:
24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6
Solve for each
24 - 2x + 6 < 6
30 - 2x < 6
Subtract 30 from both sides
-2x < 6 - 30
-2x < -24
Divide both sides by -2. < will change to >, since we are dividing by a negative number.
x > 12
Or
24 - (2x - 6) > -6
24 - 2x + 6 > -6
30 - 2x > -6
Subtract 30 from both sides
-2x > -6 - 30
-2x > -36
Divide both sides by -2
x < 18
The solution of the inequality is x > 12 or x < 18
Or can be written as: 12 < x < 18
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.
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:
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
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 :)
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
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:
i need help with the, Mia profit or loss for the money January account everfi
Answer:
is there more to the question
$100 for 10 hours Rick $80 for 9 hours Steve $75 for 8 hours Andy $60 for 5 hours Meg wants to take tennis lessons. In the chart, four instructors are listed with what they charge. Which instructor gives the best deal? A) Mark B) Rick C) Andy Eliminate D) Steve
Answer:
$80 for 9 hours
Step-by-step explanation:
whichever instructor it is that does it for $80 for 9 hours.
I can't tell which rates belong to which instructor and Mark's name isn't listed by any rates......
but the $80 for 9 hours is the best deal per hour
Ling spent $23.96 on cooking fuel for an upcoming camping trip. If she bought 4 cans of fuel, how much did she pay for each can?
Answer:
The answer is $5.99
Step-by-step explanation:
$23.96 divided by 4 is $5.99
Answer:
The answer is $5.99
Step-by-step explanation:
I just did the quiz.
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
Which power does this expression simplify to?
[(7^5)(7^3)]^-4
Answer:
1/7^32
Step-by-step explanation:
when multiplying two bases with different exponents, you keep the base and add the exponents, making the first step of this (7^5)(7^3)=7^8
but when you multiply a base and exponent by just an exponent, you keep the base and multiply the exponents, making the second step 7^8(^-4)=7^-32
you cannot have a negative exponent, and would therefore turn it into a fraction with the base and exponent at the bottom, making your final answer 1/7^32