Answer:
At most 25% of homes will have a monthly utility bill of less than $105.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question, we have that:
The mean is $123.
The standard deviation is $9.
What percentage of homes will have a monthly utility bill of less than $105
105 = 123 - 2*9
So 105 is two standard deviations below the mean.
We have that, by the Chebyshev Theorem, at least 75% of the measures will be within 2 standard deviations from the mean, so at most 25% of the measures will be more than two standard deviations of the mean(greater than 141 ou lesser than 105).
So at most 25% of homes will have a monthly utility bill of less than $105
Select all of the equations that are not functions.
A) y=x^2
B) x² + y^2=3
C) y=4
D) x=3
Answer:
B
Step-by-step explanation:
x² + y² = 3 creates a circle and circles are not functions because one x-value relates to two y-values instead of one
Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
9
10
-1
-20
-40
-60
-80
-100
- 120
-140
-160
-180
-200
Answer:
Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
this is math and I need help to solve
Answer:
A. 15
Step-by-step explanation:
Find the area of this parallelogram.
1
1
1
1
8.7 cm
10.1 cm
16.9 cm
Answer:
147.03 sq.cm.
Step-by-step explanation:
Equation for finding the area of a parallelogram:
b·h=area
Equation for this parallelogram(you don't need the 10.1):
16.9·8.7=147.03
can someone plz solve this 20/160 = x/220
Answer:
x=55/2 in fractions and 27.5 in decimals
Step-by-step explanation:
60% of what number is 33?
60 percent (calculated percentage %) of what number equals 33? Answer: 55.
Answer:
55 :)
Step-by-step explanation:
please help ppppppppppppp
Answer:
112
Step-by-step explanation:
formula = lwh/3 (length x width x height / divided by 3)
Answer:
112in
Step-by-step explanation:
Please mark brainliest.
If you can buy 3 items for 9.00, how much will it cost for 5 items
Answer:
15.00
Step-by-step explanation:
since you buy 3 items for 9.00, then you can buy one item for 9.00/3 = 3.00
therefore, for 5 items, it will be
cost of one item * 5
which is, 3.00 * 5 = 15.00
you're welcome.....
Someone please help!!!!!
In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1
Answer:
I chose B. 3
Step-by-step explanation:
I chose B because the person is either staying still, not moving, or something of the sort.
You start at the origin (0,0). Complete the following transformations and determine the final point.
• translate 2 units right and 3 units down
• reflect over the x-axis
• rotate 180° about the origin
• translate (x,y) → (x + 6,9 + 7)
Answer:
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
Step-by-step explanation:
hope it helps
A cylinder has a volume of 72 pi cubic inches. If the radius is 3 inches what is the height
Answer:
24
Step-by-step explanation:
common sense
The scatter plot shows the average weights of children at a pediatrics clinic. Write an equation for the trend line, using the points (5,40) and (0,10).
Given:
The points are (5,40) and (0,10).
To find:
The equation for the trend line using the given points.
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points are (5,40) and (0,10). So, the equation of trend line is
[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]
[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]
[tex]y-40=6(x-5)[/tex]
[tex]y-40=6x-30[/tex]
Adding 40 on both sides, we get
[tex]y=6x-30+40[/tex]
[tex]y=6x+10[/tex]
Therefore, the equation of trend line is [tex]y=6x+10[/tex].
(4,9) (2,6) (0,3) y intercept please
Hi there!
Hope this helps!
Challenge , , and each went for a walk yesterday afternoon. walked
at a constant speed of
. walked
at a constant speed of
. walked for and at a constant speed of
. List the three people in order of the times they spent walking from least time to greatest time.
Work out the value of (3^2)2 x (10^3)2
Answer:
Value In Scientific Notation Will Be: 3.6 x 10^4
Expanded Form Will Be: 36000
Round= 2.718281828459045 to the nearest thousand
Answer:
2.718
Step-by-step explanation:
2.718281828459045 to the nearest thousandths is 2.718
Michelle bought a computer that was 25% off the regular price of $980. If a 6% sales tax was added to the cost of the computer, what was the total price Michelle paid for the computer?
Answer:
$779.1
Step-by-step explanation:
Original price = $980
Michelle bought a computer that was 25% off the regular price of $980.
Amount Michelle bought it = 75% of $980 = 0.75 * 980 = $735
If a 6% sales tax was added to the cost of the computer,
Sales tax = 6% of $735 = 0.06 * 735 = $44.1
what was the total price Michelle paid for the computer?
Total Price = Amount Michelle bought it + Sales Tax
Total Price = $735 + $44.1 = $779.1
Answer:
Step-by-step explanation:
To calculate the total that will be paid we first need to calculate how much the computer cost with the discount applied. First, we need to turn the percentage into a decimal by dividing by 100.
25% /100 = 0.25
Now we multiply the regular price of the computer by the remainder of 1 minus 0.25
980 * (1 - 0.25) = $735
Now that we have the discounted price we need to multiply this by the sales tax in decimal form after adding 1 to the decimal.
6% / 100 = 0.06
735 * (1 + 0.06) = 779.10
Finally, we can see that the total price that Michelle paid for the computer is $779.10
Pls help I’ll brainlest
Coupd someone help me with this? (picture)
Answer:
2x3 = 6
6x14 = ...
Step-by-step explanation:
All the solutions with a + in them are not applicable to this multiplication
A class is made up of 50 boys, 25 girls,
What is the ratio of boys to girls.
Answer:
10 boys to 5 girls you got to divide
Step-by-step explanation:
you have to put 50 over 25 and simplify them by 5 and you get 10 boys to 5 girls I think.
Class made up of 50 boys and 25 girls will have boys to girls ratio as 2 : 1
Calculations for the ratio of boys to girls:
Ratio of the boys to girls in a class can be evaluated by the expression,
Ratio = [tex]\frac{\text{Total number of boys}}{\text{Total number of girls}}[/tex]
Given in the question,
Number of boys = 50
Number of girls = 25
Substitute these numbers in the expression and simplify the fraction,
Raio = [tex]\frac{50}{25}[/tex]
= [tex]\frac{2}{1}[/tex]
= 2 : 1
Therefore, ratio of boys to girls in the class is 2 : 1
Learn more to evaluate the ratio here,
https://brainly.com/question/14966195?referrer=searchResults
What is the slope, y-intercept and equation, marking Brainly .
Answer:
m=slope = 5
b=y intercept=-4
Step-by-step explanation:
Answer:
Slope=3/4, y-intercept=3.5, equation=y=3/4x+3.5
Step-by-step explanation:
can someone solve this for me please, i really need help
Answer:
I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))
Step-by-step explanation:
Please use the Quadratic Formula to find the zeros of the function below.
g(x) = 2x2 + x + 25
Answer:
Step-by-step explanation:
what does one and sixty-three hundredths look like?
Answer:
1.630
Step-by-step explanation:
A. 100 degrees
B. 150 degrees
C. 33 degrees
D. 107 degrees
I need help with my exam
Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?
Group of answer choices
4/8
0
6/8
6/16
distribute this: 3(9x+2)
have a lovely day my fellow earthlings <3
Answer:
27x + 6Step-by-step explanation:
Distributive property of multiplication:
a(b + c) = ab + acApply to the given expression:
3(9x+2) =3(9x) + 3(2) =27x + 6Answer:
27x+6
Step-by-step explanation:
1/2×-7=1/3(×-12) solve
Answer:
X=18
Step-by-step explanation:
(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)
(1/2)*x-((1/3)*(x-12))-7 = 0
(-1/3)*(x-12)+(1/2)*x-7 = 0
x/2-1/3*(x-12)-7 = 0
(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0
x-1/3*2*(x-12)-7*2 = 0
1/3*x-14+8 = 0
1/3*x-6 = 0
(1/3*x-6)/2 = 0
(1/3*x-6)/2 = 0 // * 2
1/3*x-6 = 0
1/3*x-6 = 0 // + 6
1/3*x = 6 // : 1/3
x = 6/1/3
x = 18
What are two equivalent fractions to 9/15
Answer:
3/5 and 18/30
Step-by-step explanation:
Extending answer so I can send