Answer:
y = 1566.67x + 1716.67
is the actual answer..
The linear equation that can be used to approximate the data distribution is y = 1566.67x + 1716.67.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given two points on the line.
(0.5, 2500) and (3.5, 7200)
Slope intercept form of a linear equation is y = mx + c, where m is the slope and c is the y intercept.
Slope = (7200 - 2500) / (3.5 - 0.5)
= 4700 / 3
= 1566.67
So the equation is, y = 1566.67x + c
Substitute the point (0.5, 2500) to the equation.
2500 = (1566.67 × 0.5) + c
c = 1716.67
So the equation is, y = 1566.67x + 1716.67
Hence the required equation is y = 1566.67x + 1716.67.
Learn more about Linear Equations here :
https://brainly.com/question/29739212
#SPJ2
The national average utility cost is $270.48 per month. if the average electric bill is 44.9% of the total amount and the average utility cost for orlando, fl is $308.83, what would be the cost of a typical orlando electric bill and how would that compare with the national average? a. the typical orlando electric bill would be $138.66, which would be $17.21 more than the national average. b. the typical orlando electric bill would be $121.54, which would be $17.21 less than the national average. c. the typical orlando electric bill would be $138.66, which would be $76.64 more than the national average. d. the typical orlando electric bill would be $121.54, which would be $76.64 less than the national average.
The typical Orlando electric bill would be $138.66, which would be $17.21 more than the national average option (a) is correct.
It is given that the national average utility cost is $270.48 per month. if the average electric bill is 44.9% of the total amount and the average utility cost for Orlando, fl is $308.83.
It is required to find the cost of a typical Orlando electric bill and how would that compare with the national average.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have:
Average utility cost = $270.48
Average electric bill = 44.9%
Average utility cost without electric bill = [tex]270.48\times \frac{44.9}{100}[/tex]
= $121.44
Typical orlando electric bill = [tex]308.83\times \frac{44.9}{100}[/tex]
= $138.66
Now,
=$138.66 - $121.44
= $17.22
Thus, the typical Orlando electric bill would be $138.66, which would be $17.21 more than the national average option (a) is correct.
Learn more about the average here:
https://brainly.com/question/24057012
It's not really a specific question, but can someone pleeeeease explain how to do constant of proportionalities from tables! I've watched the khan videos on it, but it's just not clicking for me. Please help!
Answer:
by looking in the copy and learning the tips or step how to do it
Answer:
For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.
Step-by-step explanation:
Hope this helped you understand it better
~Heaven~
please help me with this Pythagorean Theorem
Answer:
[tex]\sqrt{22.25}[/tex]
Step-by-step explanation:
4 ^ 2 is 16
2.5 ^ 2 is 6.25
16 + 6.25 is 22.25
The square root of 22.25 is undefined so...
[tex]\sqrt{22.25}[/tex]
The zero product property states that if a . b = 0, then a = 0, b = 0, or both a = 0 and
b=0.
Speculate as to how you think this property might help you when you solve algebraic
equations of the form: (x-r) (xs) = 0.
Answer:
We all know that if one factor is equal to zero, then the product of all factors is equal to zero.
[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]
You have to rewrite the equation as a factored quadratic set both equal to zero.
Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex] to [tex](2-2)(-2+2) =0[/tex]
[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]
I hoped this helped
What is one-fourth divided by 4 wholes
I NEED HELP SO BADLY! DONT UNDERSTAND THESE! WILL GIVE BRAINLIEST! (Please do both!)
Answer: 1. Smaller than 8 SQUARE ft. 8 ft on one side and 7/8 ft one one side does NOT equal 8 square ft, it is less. It is actually 7ft. 2. 50,343 is the answer to the second question, so less than the number. Explanation: When you multiply a number by a fraction you get less than the number you started with.
Hope this helps
Answer:
7. Option 2 smaller than 8 sq.ft.
8. Less than 67.24
Step-by-step explanation:
7. the fraction 7/8 is proper, i.e. less than the unit, Any number multiplied by a proper fraction is less (reduced).
8. the same reason as the previous one, 3/4 is a proper fraction.
Hope this helps
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, In cubic centimeters, of the cereal box?
Answer:
You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.
Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.
Word problem. Help please!!
Answer:
I'm not 100% sure but I think it is 200.96 in (201 in if rounded)
Step-by-step explanation:
Answer:
200.96 inches squared
Step-by-step explanation:
The radius of the pizza is 8(half of the diameter).
The formula for are of a circle is pie*radius^2.
So you would do 3.14 * 8^2.
8^2 is equal to 64.
Your new equation is 3.14 * 64, which equals 200.96.
The Green Bean Coffee Shop sells muffins for $2 each. So far today, they have sold 13 muffins. 1
Part A
Write an equation that represents the amount of money, A, they’ll make if they sell, m, additional muffins today. Answer:
M
Part B
Use the equation you wrote to determine how much money they’ll make if they sell an additional 22 muffins
Answer:
A) $ = 2m + 26
B) $70
Step-by-step explanation:
For a, I know they already sold 13 for $2, meaning they made $26. I know that for each muffin, they will make $2, meaning 2m + 26.
For b, you substitute 22 for m, and solve, getting $70.
find side x using sine rule
Answer:
x = 10.76 cm
Step-by-step explanation:
[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]
[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]
Hope this helps
60 ft
60 ft
30t)
60 ft
60ft
30 ft.
Answer:
7290ft^2
Step-by-step explanation:
60*30=1800
then multiply that by 4 because of the 4 rectangle
1800*4=7200
multiply 30*30 to get 90 then add that on
7290
Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%. how much will the shoes be worth
in 2 months (8 weeks)?
Answer:
$143.70
Step-by-step explanation:
The multiplier of value each week is (1 -8%) = 0.92. After 8 weeks, the original value will have been multiplied by 0.92^8.
__
The value of the shoes after 8 weeks is ...
$280(0.92^8) ≈ $143.70
please help me with this question
Answer:
71
Step-by-step explanation:
The mean is the average. There are two ways to do this question shown.
1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-
88+100+76+92+83=439.
439/5=87.8
The current average is 87.8. Now, you can add and divide again.
439+71=510. 510/6=85.
You now have the answer. However, you might want to check again.
439+76=515
515/6=85.833....3
It is more than 85, so the answer is 71.
2- Find out how much more all the numbers are than the smallest number.
First, I'll organize it.
-76, 83, 88, 92, 100-
The smallest number is 76, so subtract 76 from each.
0, 7, 12, 16, 24 added up together is 59.
59/5=11.8
76+11.8=87.8
That also gives you that the average is 87.8.
You can then see how much or less the number is than the average and then add.
71 is five LESS than the average, so it's -5.
54/6=9.
9+76=85.
Thus, 71
HELLLPP MEEE
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by:
[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
I need help with this problem?
Answer:
Step-by-step explanation:
Volume of cylinder:
[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]
Bottom cylinder:
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
Upper cylinder:
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
help please. 50 pts and brainliest
Answer: I think you should go to the internet and try to get some ways to help yourself Try Math with Mr.J or Math Antics on Videos
Step-by-step explanation:
Someone deleted my first answer so I can not do anything about it sorry
a soccer ball went on sale from 30 to 24 by what percentage was the price of the soccer ball reduce
Answer:
20%
Step-by-step explanation:
It was reduced by 20%. 24 is 80% of 30.
find the four geometric means between 5 and 1215
(a)
Y is
inversely proportional to the square of x.
The Given that y = 10 for a particular value of X,
find the value of y
when this value of x
is halved.
Answer:
y = 40
Step-by-step explanation:
y = k/x²
Let a = the x-value corresponding to y = 10
For x = a, y = 10
10 = k/a²
k = 10a²
The function is:
y = 10a²/x²
Now we halve the x-value a:
Let x = a/2.
y = 10a²/x²
y = 10a²/(a/2)²
y = 10a²/(a²/4)
y = 40
FInd the area of the shaded polygon
120 sq.un
area of parallelogram = base * height
Here given the following,
base = 15height = 8 area of shaded polygon: 15 * 8 = 120 sq.unJamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answer:
The answer to the equation is: x + y ≥ 45
because In the question "Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?" Since the total time he spent on both is 45 minutes or more, it means that the sum of x and y is greater than or equal to 45. Therefore, the required equation is x + y ≥ 45
Step-by-step explanation: can u give brainliest please i am the fisrt person to answer u
Jamaal spent x minutes practicing guitar and y minutes on homework -> the total time he spent on both is x + y
It says that the total time is 45 minutes or more, which means the time he spent must be at least 45 minutes or above.
So, the option that fits the most is x + y ≥ 45
PLEASE PLEASE HELP! I NEED IT TO BE CORRECT!
Answer:42.83 i think
Step-by-step explanation:
Answer:
42.83
Hope this helps and have a great day!!!
ENJOY!
Given that a+b=7; and a-b=3.. find the following, 2^a*2^b ( 2 to the power of a * 2 to the power of b) Please help asap, Thanks! :)
Answer:
128
Step-by-step explanation:
first solve the equations. a+b=7. a-b=3. a=3+b .Hence a(3+b)+b=7. 3+b+b=7. 3+2b=7. 2b=7-3. 2b=4. b=2. a-2=3. a=5. 2^5×2^2=1287. Nine more than three times a mumber is -6
Answer:
-5
Step-by-step explanation:
Your equation will look like this:
3x+9=-6
Subtract 9 from both sides.
3x+9−9=−6−9
3x=−15
Divide both sides by 3.
3x/3=−15/3
x=−5
Hope this helped!
The asked number is -5
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, nine more than three times a number is -6, we need to find the number,
Let us consider the asked number be x
Establishing the equation, we get;
3x+9 = -6
Subtract 9 from both sides.
3x+9-9 = -6-9
3x = -15
Divide both sides by 3.
3x/3 = -15/3
x = -5
Hence, the asked number is -5
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ7
What is the area of this rectangle?
16 sq m
18 m
14 sq m
9 m
A researcher weighed watermelons grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.
What does the fourth bin represent?
Select from the drop-down menu to correctly complete the statement.
Four watermelons weigh
Answer:
at least 12 pounds but less than 16 poundsStep-by-step explanation:
as you can see on the chart its less then 16 but at least 12 pounds
Explanation:
I took the K12 5.08 Quiz: Create and Interpret Histograms.
I will only list the questions and the CORRECT answers below.
1. A shopping center keeps track of the number of customers in each store at lunch time. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
0-4 = 1
5-9 = 3
10-14 = 4
15-19 = 5
20-24 = 2
2. The list shows the distance driven by 10 different families on vacation.
199, 58, 180, 226, 191, 201, 167, 180, 199, 205
Which frequency table represents this data?
Miles Driven Frequency
0 - 49 0
50 - 99 1
100 - 149 0
150 - 199 6
200 - 249 3
3. How many more students have 2 or 3 siblings than 4 or 5 siblings?
9 students.
4. How many shoppers are at least 30 years old?
5 shoppers.
5. What does the fourth bin represent?
Four watermelons weigh
At least 12 pounds but less than 16 pounds.
Hope you do well on future quiz's!! Have an amazing year/decade!
one student incorrectly obtain an answer4/3x10/1=40/3=13 1/3 and says 13 portions can be made explain what mistake that as made in the calculations.
Answer:
They did the multiplication incorrectly
Step-by-step explanation:
The second term of an arithmetic sequence is –39. The rule a, - a-1 +12 can be used to find the next term of the
sequence. What is the explicit rule for the arithmetic sequence?
Answer:
a 2 = -39
a 2 = a 1 + 12
- 39 = a 1 + 12
a 1 = - 39 - 12
a 1 = - 51 ( first term )
The common difference is : d = 12
The explicit rule for the arithmetic sequence:
a n = a1 + ( n - 1 ) d
a n = -51 + ( n - 1 ) · 12
Step-by-step explanation:
Write 0.000000207 in scientific notation:
Answer:207x10^-7
Step-by-step explanation:
Answer:
2.07*10^-7
Step-by-step explanation:
Uh can someone tell me the answer to this im kinda stuck.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{40}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{8}{9} [/tex]
Hence, the correct choice is D
Answer:
D) 8/9
Step-by-step explanation:
There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...
"invert and multiply", or "dot swap", andnumerators of the same denominator.__
SignsThe sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)
__
Invert and MultiplyAs with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]
[tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]
The result can be reduced by cancelling common factors in this process.
[tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]
__
Numerators of the Same DenominatorFor this method, both the dividend and the divisor need to be expressed over the same denominator.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]
We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.
[tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]