Answer:
Step-by-step explanation:
To find the value that separates the lower 40% of the bills from the rest, we need to find the z-score corresponding to the 40th percentile of the standard normal distribution, and then use this z-score to find the corresponding value in the distribution of electricity bills.
Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 40th percentile is approximately -0.25.
To find the corresponding value in the distribution of electricity bills, we can use the formula:
z = (x - mu) / sigma
where z is the z-score, x is the corresponding value in the distribution, mu is the mean, and sigma is the standard deviation.
Rearranging this formula to solve for x, we get:
x = mu + z * sigma
Substituting the given values, we get:
x = 106.27 + (-0.25) * 17.15
x = 101.63
Therefore, the value that separates the lower 40% of the electricity bills from the rest is approximately $101.63.
Steve and Silva are both members of a population, and a simple random
sample is being conducted. If the chance of Steve being selected is 1
what is the chance of Silva being selected?
98,000'
OA.
B.
O C.
O D.
1
98
1
9800
1
980
98,000
According to the probability, the answer is option D: 1/98,000.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The chance of Steve being selected is 1. This means that out of 1 individual, Steve is selected. The probability of Steve being selected is 1/1 or 1. Since the sample is a simple random sample, each individual in the population has an equal chance of being selected. If there are a total of 98,000 individuals in the population, then the probability of Silva being selected is 1 out of 98,000, or 1/98,000.
Therefore, the answer is option D: 1/98,000.
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WILL GIVE BRANLIST AND POINTS Triangle XYZ is drawn with vertices X(-2, 4), Y(-9, 3), Z(-10, 7). Determine the line of reflection that produces X'(2, 4).
Options
Oy=-2
y-axis
Ox=4
O x-axis
The line of reflection that produces X'(2, 4) is,
⇒ y - axis
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
Triangle XYZ is drawn with vertices X(-2, 4), Y(-9, 3), Z(-10, 7).
Now, We know that;
The rule for a reflection over the y -axis is (x, y) → (- x, y)
Here, The line of reflection is produces X'(2, 4).
Hence, We get;
The rule for line of reflection that produces X'(2, 4) is,
⇒ y - axis
Thus, The line of reflection that produces X'(2, 4) is,
⇒ y - axis
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Find the area of the figure.
Answer:
16yd
Step-by-step explanation:
I am from Michigan thank me this is really easy you nerd
This is funny helping you big people as a kid.
- Two dry cleaning companies offer a home pick-up and delivery service. The monthly cost depends on the number of garments laundered, and is shown in the following table.
Number of Garments
5
10
15
Company 1
$55.25
$75.50
$95.75
Company 2
$31.25
$57.50
$83.75
The ordered pair representing the point where both companies would charge the same amount is (25, 136.25).
When would both companies charge the same amount?
From the given table, we can form the following equation for monthly cost of each company.
Company 1, the function for the monthly cost is;
(5, $55.25 ) and (10, $75.5). Let the monthly cost = y₁
(y₁ - 55.25 )/(x - 5) = ( 75.5 - 55.25 )/ (10 - 5)
y₁ = 4.05x + 35
Company 2, the function for the monthly cost is;
(5, $31.25 ) and (10, $57.5). Let the monthly cost = y₂
(y₂- 31.25 )/(x - 5) = ( 57.5 - 31.25 )/ (10 - 5)
y₂ = 5.25x + 5
To find the point where both companies charge the same amount, we need to set their costs equal to each other and solve for the number of garments, x:
y₁ = y₂
4.05x + 35 = 5.25x + 5
Subtracting 4.05x and 5 from both sides:
30 = 1.2x
Dividing both sides by 1.2:
x = 25
So both companies would charge the same amount when 25 garments are laundered. T
To find the cost, we can plug x = 25 into either equation:
y₁ = 4.05(25) + 35 = 136.25
y₂ = 5.25(25) + 5 = 136.25
Ordered pair = (25, 136.25)
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The complete question is below:
Two dry cleaning companies offer a home pick-up and delivery service. The monthly cost depends on the number of garments laundered, and is shown in the following table.
Number of Garments Company 1 Company 2
5 $55.25 $31.25
10 $75.50 $57.50
15 $95.75 $83.75
Determine when both companies would charge the same amount and what that cost would be. Write your answer as an ordered with x representing the number of garments and y representing the cost.
WILL MAKRK AS BRAINLIEST!!!!!
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 34 feet?
The dimensions of the window that maximize the area of the window is x = 17/(π - 1)(2) and y = 17 - (17/(π - 1)(2)) (1 + π ).
What is area?An area is just a surface that is empty. The length and breadth of a form are used to compute its area. The units used to measure length are unidimensional and include feet (ft), yards (yd), inches (in), etc. Nevertheless, a shape's area can only be measured in two dimensions. As a result, it is expressed in square units such as square inches (in2), square feet (ft 2), square yards (yd2), etc. Most forms and things have edges and corners. When determining an object's area, the length and breadth of these edges are taken into account.
Let us suppose the width of the rectangle = x.
The length of the rectangle = y
Thus,
Perimeter = 2 (x + y) + πx
34 = 2x + 2y + πx
2y = 34 - 2x + πx
The area of the window is:
A = (1/2)πx²+ xy
Substitute y = 34 - 2x + πx / 2
To maximize the area we differentiate the area and equate it to 0:
A = (1/2)πx²+ x(34 - 2x + πx / 2)
A = (1/2)πx²+ 17x - x² + π/2x²
dA/dx = πx + 17 - 2x + πx
2πx + 17 - 2x = 0
2x(π - 1) = - 17
x = 17/(π - 1)(2)
Substitute the value of x in equation:
2y = 34 - 2x + πx
2y = 34 - 2(17/(π - 1)(2)) + π( 17/(π - 1)(2))
y = 17 - (17/(π - 1)(2)) (1 + π )
Hence, the dimensions of the window that maximize the area of the window is x = 17/(π - 1)(2) and y = 17 - (17/(π - 1)(2)) (1 + π ).
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solve the inequality |3x-7| < |4x+5|
Answer:
x=6
Step-by-step explanation:
Which graph best represents the function f(x)=4x−4f(x)=4x−4?
The best represent graph of the function is option a.
What is a function?
It is an expression which contains one independent variable and another is dependent variable.
The given function is
f(x)= [tex]4^{x[/tex] - 4
As it is an exponential function so it must have a horizontal asymptote. Here the horizontal asymptote is f(x)= -4
For x intercept we need to take f(x)=0 and for y intercept substitute 0 for x and solve for y. [Here y can be treated as f(x).]
Here x intercept(s)= None
y intercept(s) = (0,-3)[ putting x=0 in f(x) so 1-4= -3]
Hence the graph is given below.
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the price of a ticket on the local commuter train can be determined from the expression 1.35 + 0.40(s), where s is the number of stops for which the passenger will be on the train
The price οf the ticket when the number οf stοps is 13, fοund using the given expressiοn, is $6.55.
What is an expressiοn?Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne maths οperatiοn, and a statement. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn. A finite cοmbinatiοn οf symbοls that are well-fοrmed in accοrdance with cοntext-dependent principles is referred tο as an expressiοn οr mathematical expressiοn. There are twο sοrts οf expressiοns in mathematics: numerical expressiοns, which οnly cοntain numbers, and algebraic expressiοns, which alsο include variables. Expressiοns can be categοrised as arithmetic/numerical expressiοns, fractiοnal expressiοns, οr algebraic expressiοns depending οn the terms they cοntain.
Given the expressiοn as:
1.35 + 0.40(s)
This is used tο calculate the price οf a ticket οn the lοcal cοmmuter train.
s = number οf stοps
Nοw the cοmplete questiοn is tο calculate the price οf the ticket fοr 13 stοps.
Sο s = 13
Substitute in the expressiοn,
1.35 + 0.40(s) = 1.35 + 0.40 * 13 = 1.35 + 5.2 = $6.55
Therefοre the price οf the ticket when the number οf stοps is 13, fοund using the given expressiοn, is $6.55.
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i need help asap it is homework
Answer:
See below.
Step-by-step explanation:
Hello!
The topic we should review for this problem is Order of Operations.
What is Order of Operations?
Order of Operations is a rule that identifies which part of an equation should be simplified first.
You might've heard of PEMDAS, where;
P for Parentheses, always first unless there's an exponent inside.
E for Exponent, simplified after the Parentheses.
M or D - Multiplication or Division after the Exponent(s).
A or S - Addition or Subtraction after Multiplication or Division.
[tex](5+3^2)+18[/tex]
First we know that there's an Exponent inside the Parentheses, so we must evaluate that number first.
[tex](5+9)+18[/tex]
Next, evaluate what's in the Parentheses.
[tex]14+18\\32[/tex]
Our correct answer is 32.
We are asked what mistake did Raquel make, and what's the correct simplified version of the expression.
1a.) Raquel's mistake is combining unlike terms. It's impossible to combine together a natural number (5) and an exponential number. (3²)
1b.) The correct simplified version of the expression is represented here;
[tex](5+9)+18\\(First \ Step)[/tex]
There are 50 volunteers to start a community service project. The project organizer expects this number to increase by 6% every hour for the next
5 hours. If the organizer is correct, which value is closest to the number of volunteers the project will have at the end of five hours?
63
65
67
71
The question is in the photo
The value of y, given that Triangle FEG is similar to Triangle IHJ is 10.
How to find the value of y ?Seeing as Triangle FEG is similar to Triangle IHJ, we can assume that angle EGF is the same as angle HJ1.
This means that 5 y + 8 is equal to 58 degrees.
The value of y is therefore :
5 y + 8 = 58
5 y = 50 - 8
y = ( 50 - 8 ) / 5
y = 50 / 5
y = 10
In conclusion, given the two similar triangles and the angles EGF and HJI, the value of y can be found to be 10.
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The back of a garbage truck is 23 feet long, 8 feet wide, and 12 feet tall. How many loads of trash from the garbage truck will it take to fill a 40 foot by 9 foot by 8 foot storage container?
it will take approximately 1.30 loads of trash from the garbage truck to fill the 40-foot by 9-foot by an 8-foot storage container. However, since you can't have a partial load, you would need to round up to 2 loads to completely fill the container.
what is an algebraic expression?
An algebraic expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be simplified and evaluated.
To determine the number of loads of trash from the garbage truck that will fill a 40-foot by 9-foot by 8-foot storage container, we need to compare the volume of the container to the volume of the garbage truck's back.
The volume of the garbage truck's back is:
V_garbage_truck = length x width x height
V_garbage_truck = 23 ft x 8 ft x 12 ft
V_garbage_truck = 2,208 cubic feet
The volume of the storage container is:
V_container = length x width x height
V_container = 40 ft x 9 ft x 8 ft
V_container = 2,880 cubic feet
To find out how many loads of trash from the garbage truck will fill the storage container, we need to divide the volume of the container by the volume of the garbage truck's back:
Number of loads = V_container / V_garbage_truck
Number of loads = 2,880 cubic feet / 2,208 cubic feet
Number of loads ≈ 1.30 loads
Therefore, it will take approximately 1.30 loads of trash from the garbage truck to fill the 40-foot by 9-foot by an 8-foot storage container. However, since you can't have a partial load, you would need to round up to 2 loads to completely fill the container.
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Write each amount as rate
500 words in one minute
Answer:
500 words per minute.
Step-by-step explanation:
first increase and then rework each by decreasing
a. 400 by 20%
b. 650 by 30%
c.820 by 45%
d. 150 by 2,5%
e. 300 by 5%
f. 420 by 2,5%
Answer:
a. 480 Then 384
b. 845 Then 591.5
c. 1,189 Then 653.95
d. 153.75 Then 149.90625
e. 315 Then 299.25
f. 430.5 Then 419.7375
The Clarke's son suggests that they rent a car that costs $250 for the week plus $0.22c/km. Their daughter does not want to drive far, so she suggests a car that is only $96 for the week but $0.50/km.
a) Write an equation to represent the cost of the car suggested by the son
b) Write an equation to represent the cost of the car suggest by the daughter
c) When will the two cars cost the same? Used the method of elimination to solve.
d) If the Clarke's plan to drive 500km, which option is less expensive?
Answer: a) The equation to represent the cost of the car suggested by the son is:
C1 = 250 + 0.22k
where C1 represents the total cost of renting the car, and k represents the number of kilometers driven.
b) The equation to represent the cost of the car suggested by the daughter is:
C2 = 96 + 0.5k
where C2 represents the total cost of renting the car, and k represents the number of kilometers driven.
c) To find when the two cars cost the same, we need to solve the equation:
C1 = C2
Substituting the expressions for C1 and C2 from parts a and b, we get:
250 + 0.22k = 96 + 0.5k
Simplifying this equation, we get:
0.28k = 154
Dividing both sides by 0.28, we get:
k = 550
Therefore, the two cars cost the same when the number of kilometers driven is 550.
d) If the Clarke's plan to drive 500km, we can calculate the total cost for each car by substituting k=500 into the equations from parts a and b:
C1 = 250 + 0.22(500) = 360
C2 = 96 + 0.5(500) = 346
Therefore, the car suggested by the daughter is less expensive for a 500km trip, as it would cost $346 compared to $360 for the car suggested by the son.
Step-by-step explanation:
2. Is AP'Q'R' a 180° rotation about the origin of APQR?
Explain.
4
t
2
20
2
d
P
R
2 4
4.
R
à x*
8
It should be noted that AP'Q'R' a 180° rotation about the origin of APQR.
How to explain the rotationIt should be noted that to perform a 180° rotation about the origin, one has to draw the original figure and label its coordinates and draw the origin and label it O.
One can also use the following formula to find the coordinates of the image of a point (x,y) after a 180° rotation about the origin:
(x', y') = (-x, -y)
Here, P'Q'R' represents the coordinates of the image of the point PQR. We simply take the negative of the original x and y coordinates to find the new coordinates after the rotation.
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NEED THIS DUE BY TODAY!!
1) The volume of the first rectangular prism is 175 ft³
2) The volume of the second rectangular prism is 60ft³
3) The volume of the third rectangular prism 140ft³
4) The volume of the Fourth rectangular prism 216ft³
What is the rationale for the above response?Note that in order to find the volume of area of a complex figure, you must deconstruct it into manageable proportions.
Shape 1 above, we deconstructed the rectangular prism into two 3 dimensional shapes with the following metrics:
a)
Length = 7ft
Height = 2ft
widht = 2ft
Volume = Volume = 7ft x 2ft x 2ft
Volume = 28 ft³
b)
Length = 7ft
Height = 3ft
width = 7ft
Volume = 147 ft³
Total Volume = 28 ft³ + 147 ft³
Volume for Shape 1 = 175 ft³
Shape 2 above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:
a) Length = 3ft
Height = 2ft
width = 1ft
Volume = 6 ft³
b) Length = 6ft
Height = 3ft
width = 3ft
Volume = 54 ft³
Thus, total volume for shape 2 is:
Volume = 6 + 54
Volume = 40 ft³
Shape 3, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:
a) Length = 7ft
Height = 1ft
width = 2ft
Volume = 14ft³
b)
Length = 7ft
Height = 3ft
width = 6ft
Volume = 126ft³
Thus, the total volume fior shape 3, =
Volume = 14ft³ + 126ft³
Volume = 140ft³
Shape 4, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:
a) Length = 4ft
Height = 3ft
width = 2ft
Volume = 24 ft³
b) Length = 4ft
Height = 12ft
width = 4ft
Volume = 192 ft³
Thus, the total volume for Shape 4:
Volume = 24 ft³+ 192 ft³
Volume = 216ft³
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Given a right triangle, ABC, where C = 90° and AB = 8 in. and BC = 3 in. Determine the exact value of cot (A).
The value of cot A is √55/3
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
cot A = 1/tanA
AC = √ 8²-3²
AC = √64-9
AC = √ 55
tanA = 3/√55
cot A = 1/tanA
cot(A )= 1/(3/√55)
cot( A) = √55/3
therefore the value of cot(A) = √55/3
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Solve for x. Leave as an improper fraction. 5 = 3x + 9
Answer:
x = -4/3
Step-by-step explanation:
hope this helps^^
The shape below is a rhombus.
a) Which side is parallel to PQ?
b) Which angle is the same size as angle
QRS?
P
S
R
RS is Parallel to PQ and ∠ P has the same size as ∠ QRS. We find the answer by knowing the definition of Rhombus.
What is a rhombus?Rhombus is a special case of a parallelogram having four equal sides and opposite equal acute and obtuse angles . The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths i.e. Rhombus.
In mathematics, a parallelogram is a simple (non-self-intersecting) quadrilateral with two sets of parallel sides.
a. RS is Parallel to PQ
b. ∠ P has the same size as ∠ QRS
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What's the value of X and Y?
(Need answers SUPER fast, please and ty!)
Answer:
x = 9/4 y = 15/4
Step-by-step explanation:
I need help on this question please anyone ?!!!!??!!!
PLEASE GIVE BRAINLIEST <3
Answer:
I'm pretty sure it's bumper cars ( B ).
Hope this helped! <3
A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size is 100 selected and is used to estimate What is the probability that the sample mean will be within 8 of the population mean
By answering the above question, we may state that As a result, there is standard deviation a roughly 0.9999 or 99.99% chance that the sample mean will be within 8 of the population mean.
What is standard deviation?A statistic known as standard deviation may be used to indicate the variation or variability of a set of statistics. A low standard deviation means that the values tend to be closer to the established mean whereas a large standard deviation shows that the values are widely spread. The standard deviation serves as a gauge for how far the data are from the mean (or ). The data tend to cluster around the mean when the standard deviation is low, and are more scattered when the standard deviation is high. Standard deviation is a measurement of the data set's average variability. It displays the standard deviation of each score with respect to the mean.
population + standard deviation departure from the mean / sqrt (sample size)
Standard deviation is 90/sqrt(100) and equals 9.
z is equal to (x - ) / ( / sqrt(n)).
where:
The sample mean is x. We are looking for the probability given the following conditions: where is the sample size, which is 100; is the population mean, which is 400; is the standard deviation of the distribution of sample means, which is 9;
When we change the values, we obtain:
[tex]Z = (9 / sqrt(100) / (x - 400)\\z = (x - 400) / 0.9\\P(392 < = x < = 408)\s= P[(392 - 400) / 0.9 < = z < = (408 - 400) / 0.9] .9]\\= P[-8.89 < = z < = 8.89] .89]\\[/tex]
To determine this probability, we can use a calculator or a conventional normal distribution table.
[tex]P[-8.89 < = z < = 8.89] = 0.9999[/tex]
As a result, there is a roughly 0.9999 or 99.99% chance that the sample mean will be within 8 of the population mean.
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Find the slope of a line parallel to the line whose equation is
5
�
−
3
�
=
18
5x−3y=18. Fully simplify your answer.
The slope of a line parallel to the line whose equation is 5x - 3y = 18 is equal to 5/3.
What is the slope-intercept form?In Mathematics, the slope-intercept form of an equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m is the gradient, slope, or rate of change.x and y represent the points.c represents the y-intercept or initial value.Making y the subject of formula, we have the following:
5x - 3y = 18
3y = 5x - 18
y = 5x/3 - 6
In Geometry and Mathematics, two (2) lines are said to be parallel under the following conditions:
m₁ = m₂ ⇒ 5/3 = 5/3
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What is the volume of the triangular prism?
PLS HELP!!
Answer:
20cm³
Step-by-step explanation:
Volume = Base x Height
1/2 x 5 x 2 x 4
=20cm³
5. 100 people have food for 20 days at the rate 2kg per person per day. If 20 people left, how long will the food last if they eat (a) 2kg per person daily? (b) 1.8 kg per person daily?
Answer:
25
Step-by-step explanation:
let the no of days food avl for eat be X .
according to question...
100/80=X/20
=X × 80 = 100×20
=80x =2000
= x =2000/80
x=25 days
Fractions:
4/5 is greater, less than, or equal to 8/10?
Answer:
Equal to.
Step-by-step explanation:
multiply both numbers by 2
Write the set using the roster method.
Set D is the set of positive two-digit even numbers greater than 74
that do not contain the digit 8
.
The set using Roster method is, D = {76, 90, 92, 94, 96}
What is Roster Method?The roster technique is defined as a method for displaying the elements of a set by listing the elements within brackets.
A roster method example is to write the set of numbers from 1 to 10 as
{1, 2, 3, 4, 5, 6, 7, 8, 9, and 10}.
Given:
Set D is the set of positive two-digit even numbers greater than 74
that do not contain the digit 8
First, Even numbers greater than 74 are
76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98.
Now, Even Number doe not contain 8 are 76, 90, 92, 94, 96.
Using Roster method the set is
D= {76, 90, 92, 94, 96}
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D=25 m
39⁰
Can someone work this out so I can check my answers thanks !
Answer:[tex]m[/tex] = [tex]d[/tex]/[tex]25[/tex]
Step-by-step explanation:I don't know if this is correct but i think it is:
Solve D=25m
Evaluate powers D = 25m
Subtract D from both sides D= 25m[tex]1[/tex] - D
Add D to both sides D=25m1
Evaluate powers D=25m
Divide both sides by 25 D/25 =m
Solution m = D/25
Which equation has the same solution set as (x - 3)² = 0 ?
-2x²-18
x²-9=0
x² + 6x = -9
12x -18=2x²
Answer:
x^2 - 9 = 0
Step-by-step explanation:
its right one.......