Answer:
95% of house sizes lie between 955.7 and 1454.1 square feet.
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
In the above question,
Mean (μ)= 1204.9 square feet
Standard deviation (σ) = 124.6 square feet.
We are to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet.
Step 1
We have to find the number of standard deviation from the mean
μ – xσ
1204.9 - 124.6x = 955.7
1204.9 - 955.7 = 124.6x
249.2 = 124.6x
x = 249.2/124.6
x = 2
μ + xσ
1204.9 + 124.6x = 1454.1
124.6x = 1454.1 - 1204.9
124.6x = 249.2
x = 249.2/124.6
x = 2
Therefore from the calculation above, it is 2 standard deviations from the mean, hence: from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
Line segment length from A to B using pythagorean theorem
Answer:
13
Step-by-step explanation:
2 cm on a map is equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Answer:
12km in real life.
Step-by-step explanation:
Please mark brainliest.
I would be so happy if you helped me with this question:3
Answer:
650
Step-by-step explanation:
18,000-3,000
13,000
13,000 x 5%
$650
Answer:
$900.
Step-by-step explanation:
Find the equation of the line that passes through (4,4) and is parallel to y = 2x + 4.
Leave your answer in the form y= mx + c
Answer:
x,y(0,12)
Step-by-step explanation:
Y=mx+c
4=2X+4
4=2x+4
2x=0
X=0
Y=mx+c
Y=2(4)+4
Y=8+4
Y=12
John travels 54 miles each day of his 5 day journey to Disney land. What is the distance from John’s house to Disney land? PLZZ
What is the missing value for the probability distribution table ?
X 1 2 3 4 5
P(X) 0.05 0.35 0.15 0.2
I will be giving 10 points please answer!!
Answer:
C and D
Step-by-step explanation:
I think it's C and D
You can't be certain that the coefficient of s is 3.
The entire thing is not a sum because there's fractions in the equation.
What is - 9 + 3 = I know its -6 but how
Answer:
You count something
Step-by-step explanation:
If you imagine 9 slots that are empty and you fill 3 of them then there is 6 empty slots so -6
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
( - 8)( - 4)(12)
I need help with this :)
Answer:
= 384
Step-by-step explanation:
(-8)(-4)(12)
= (32)(12)
=384
Answer:
384
Step-by-step explanation:
What are the zeros of the function
Answer:
(1,0)
Step-by-step explanation:
A.K.A the y and x intercepts you might need to do a little more math you get the y intercept tho
Which of the following is a better buy?
7 tickets for $22.75
10 tickets for $31.50
Answer:
10 tickets for $31.50
Step-by-step explanation:
So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket
If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.
So In conclusion 10 tickets for $31.50 dollars is the better buy
Answer:
10 Tickets Is The Better Deal
Step-by-step explanation:
So What You Do Is You Will Divide 22.75 By 7
You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets
For The Next One You Do The Same Thing
You Want To Divide 31.50 By 10
You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets
So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal
Hope This Help
DOH! My Brain Hurts
Number of putter
3. How many 80 sheets notebook can a company make using 6080 sheets?
Total number of
76
Step-by-step explanation:
just divide 6080 by 80 and you get 76
20 POINTS!!!!please help due in 20 mins
Answer:
rate of change is -1/3 (table) and 4 (graph)
Function 2 has the greater rate of change because the graph is steeper, and |4| is bigger than |-1/3|
Step-by-step explanation:
Answer:
(a) Function 1 : -2 Function 2 : 3.
(b) Function 2
Step-by-step explanation:
For function #1, you can calculate the rate of change (another word for slope) by counting the change between each y value. So, when x is 2, y is -3. When x is 3, y is -5. The rate of change is -2!
Show your work by marking an arrow for each y and writing -2.
Function #2, you need to find the slope (rate of change) by drawing a rise/run line when the equation line hits a point on the graph. One point is (-1,1) another point is (0,4). The slope/rate of change is 3.
A store sells shirts at a price of 2 for $5.00. At this price, how much do 7 shirts cost?
Answer:
$17.50
Step-by-step explanation:
2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50
Could someone help me on this math question !
please answer to the above question
Answer:
b
Step-by-step explanation:
I did this assignment and got the highest grade
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour.
Answer:
10.80
Step-by-step explanation:
12% of $9 dollars is $1.08 rounded is 1.080
btw if this was a real job id quit even though im in 6th
The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.
You decide to take a second job that pays $9 dollars an hour.
Taxes are 12% of your earnings, and you are able to save the rest.
Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.
From the data given, we can frame a linear equation in one variable.
987 = 9x - 12% of 9x
987 = 9x - (0.12)(9)x
987 = 9x - 1.08x
7.92x = 987
x = 987/7.92
x = 124.62 ≈ 125 hours
Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
Learn more about the linear equation here:
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WILL GIVE BRAIANLEST PLZZZZ HELP MEEE 50 POINTS
Elevator 1 in an office building moved from ground position to a final position of +12 feet. Elevator 2 in the same building moved from ground to a final position of −15 feet. Which statement best describes the final positions of these two elevators? (5 points)
Question 4 options:
1)
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1.
2)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above the position of Elevator 1.
3)
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below ground level.
4)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above ground level.
Answer: The answer would be option 3
Step-by-step explanation:
In the figure, line e || line ff . Which statement is true?
Answer:
B
Step-by-step explanation:
The measure of angle seven is 70 since 180 - 110 = 70. The measure of angle three is equal to the measure of angle seven using the Corresponding Angles Theorem
Solve as a difference equation.
After caffeine is absorbed into the body, 1% is eliminated from the body each hour. Assume a person drinks an 8-oz cup of brewed coffee
containing 130 mg of caffeine, and the caffeine is absorbed immediately into the body. Find the difference equation for Yn, the amount of caffeine in
the body after n hours. Solve the difference equation. After how many hours will 65 mg (one-half the original amount) remain in the body? How
much caffeine will be in the body 24 hours after the person drank the coffee?
Solution :
Let y = amount of caffeine at a given time in body.
n = number of hours
So [tex]$\frac{dy}{dn}= - \ Y$[/tex]
[tex]$\Rightarrow \frac{dY}{Y}=- 0.01 \ dn[/tex]
ln Y = -0.01 n + C
At n = 0, Y = 130 mg
ln 130 = -0.01 x 0 + C
C = ln 130
[tex]$ \ln \frac{Y}{130} =- 0.01 \ n$[/tex]
[tex]$Y = 130 \ e^{-0.01n}$[/tex]
When Y = 65
[tex]$65 = 130 \ e^{-0.01 n }$[/tex]
[tex]$\frac{65}{130}=e^{-0.01n}$[/tex]
[tex]$\ln \frac{1}{2} = -0.01 \ n$[/tex]
n = 69.315 hours
At n = 24 hours
[tex]$Y = 130 \ e^{-0.01 \times 24}$[/tex]
Y = 102.26 mg
Use the formulas to generate a Pythagorean Triple with x = 8 and y = 3.
A squared+b squared=c squared
5 squared+2 squared=c squared
25+4=29
The square root of 29 is C.
The order would be 2, 5, the square root of 29
(Hope this helped! If u dont mind, can u mabey give brainliest to me? <3)
Using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.
What are Pythagorean triples?Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
Given that, x=8 and y=3.
The formula is (x²+ y²)²= (x² - y²)² + (2xy)²
Now, (8²+ 3²)²= (8² - 3²)² + (2×8×3)²
(64+9)²=(64-9)² +(48)²
73²=55²+48²
5329=5329
Therefore, using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.
Learn more about the Pythagorean triple here:
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"Your question is incomplete, probably the complete question/missing part is:"
The identity (x²+ y²)²= (x² - y²)² + (2xy)² can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?
You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.
Answer:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Step-by-step explanation:
Given
Hours = not more than 10
Earnings = At least 56
Required
Represent this as a system of inequalities
Let c represents the cleaning job
Let r represents the retail job
The number of hours
Not more than means [tex]\leq 10[/tex]
So:
[tex]c + r \leq 10[/tex]
Earnings
c = 7.50 per hour
r = 10 per hour
Earnings = At least 56
At least 56 means [tex]\geq 56[/tex]
So;
[tex]7.5c + 10r \geq 56[/tex]
Hence, the system is:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Helppppppppppppppppppppp
Answer:
true
Step-by-step explanation:
PLEASE HELP. WILL MARK BRAINLIEST. !!50 points!!
Triangle A"B"C" is formed using the translation (x +0, y+ 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line
AC and line A"C"?
A. Line AC
——————- = 2
A"C"
B. Line A" C" 1
————— = —
AC 2
C. Line A"C"
Line AC = —————-
2
D. Line AC
Line A"C" = —————
2
Answer: i dont understand the question can you please elaborate
Step-by-step explanation:
!!!HELP !!! Plis
The blue dot is at what value on the number line?
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
if you count from -3, itll be at -6.
PLZ HELP IM WASTING MY POINTS FOR THIS Match each expression to its value.
1. -1 + 2
1
2. 1 + (-2)
-3
3. -1 - 2
3
4. 1 - (-2)
-1
Answer:
1. 1
2. -1
3. -3
4. 3
If you have any questions on the topic let me know. :)
Answer:
1. 1
2. -1
3. -3
4.3
Step-by-step explanation:
...
Michael went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of
sugar. Michael purchased a total of 11 bottles of juice and soda which collectively
contain 300 grams of sugar. Write a system of equations that could be used to
determine the number of bottles of soda purchased and the number of bottles of juice
purchased. Define the variables that you use to write the system.
Answer:
2+2929?
Step-by-step explanation:
answer= 2 + 29 = 31, then multiply it by 1= then, you still have it, then add another 29, then theres ur answer
A pair of jeans that originally costs $42 is 25% off. What is the sale price?
Answer:
$31.50
Step-by-step explanation:
42 x 0.25 = 10.5
42 - 10.50 = 31.50
$31.50
Explanation:
42 × 25% = 10.5
42 - 10.5 = 31.5
Identify each pair of angles as corresponding, alternate interior, or alternate exterior.
9)
A alternate exterior
B corresponding
C alternate interior
10)
A) Corresponding
B) Alternate exterior
C) Alternate interior
Answer:
9) Corresponding
(The agles correcpond off of reflection)
10) Alternate interior
(The interior brings the negative side and flips it to the possative on the x axis)
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer!
Have a wonderful day! :)