Using Chebyshev's Theorem, it is found that:
At least 56% of the home buyer's ages lie between 30 years and 60 years.At least 75% of the home buyers' age lie between 25 years and 65 years.What does Chebyshev’s Theorem state?When the distribution is not normal, Chebyshev's Theorem is used. 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]P = 100(1 - \frac{1}{k^{2}})[/tex].For the first item, we first have to find k when P = 56, hence:
[tex]56 = 100\left(1 - \frac{1}{k^{2}}\right)[/tex]
[tex]1 - \frac{1}{k^{2}} = 0.56[/tex]
[tex]\frac{1}{k^2} = 0.44[/tex]
k² = 1/0.44
k = sqrt(1/0.44)
k = 1.5.
Within 1.5 standard deviations, hence the bounds are:
45 - 1.5 x 10 = 30 years old.45 + 1.5 x 10 = 60 yards old.Hence:
According to Chebyshev's theorem, at least 56% of the home buyer's ages lie between 30 years and 60 years.
25 and 65 years are both 2 standard deviations from the mean, hence:
At least 75% of the home buyers' age lie between 25 years and 65 years.
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help asap math question
The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are
50x + 30y + 5z = 690
40x + 15y + 5z = 620
45x + 10y + 5z = 510
Writing Linear equationsFrom the question, we are to determine the three equations that are needed to find the largest number of x desks, y coffee tables, and z corner tables that can be made
From the given information,
Desks use 50 units of wood, 40 units of fabrics, and 45 units of stuffing
Coffee tables use 30 units of wood, 15 units of fabrics, and 10 units of stuffing
Corner tables use 5 units of wood, 5 units of fabrics, and 5 units of stuffing
Also,
There are 690 units of wood, 620 units of fabric and 510 units of stuffing available to make the items
Thus,
The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are
50x + 30y + 5z = 690
40x + 15y + 5z = 620
45x + 10y + 5z = 510
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I need help before this assignment is due.
Answer:
3x10-3
Step-by-step explanation:
9:3=3
the power 10^10 becomes the inverse so 10^-10. You need to subtract the exponents 7-10=-3 (following powers rules)
6. Ariana bought 3 candy bars at $2.50 each. What was the total cost of the candy bars?
Answer:
candies bought = 3
price of 1 candy = $2.50
price of 3 candies =$(3*2.50)
Step-by-step explanation:
byeeee
Translate this figure so that point A is at the origin. Name the coordinates of B. 2nd question: rotate ABC 90° clockwise about the origin.Name the coordinates of the vertices of ABC A_____. B_____. C_____
Triangle ABC is translated 2 units right and 2 units down so that point A would be at the origin; hence the translated point B would be at B'(-2, 6)
Triangle ABC is rotated 90° clockwise about the origin to get A'(2, 2), B'(8, 4) and C'(3, 9)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
A) The vertices of triangle ABC is at A(-2, 2), B(-4, 8) and C(-9, 3). Triangle ABC is translated 2 units right and 2 units down so that point A would be at the origin; hence the translated point B would be at B'(-2, 6)
B) The vertices of triangle ABC is at A(-2, 2), B(-4, 8) and C(-9, 3). It is rotated 90° clockwise about the origin to get A'(2, 2), B'(8, 4) and C'(3, 9)
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Find the unit rate of each birds speed in kilometers per hour
Therefore, the speed of the bird is 55.44 kilometers per hour.
We know that speed is given by the formula distance travelled divided by the time taken.
Here distance = 46.2 meters and time = 3 seconds.
We are asked to find the speed in terms of kilometers per hour.
So, we need to convert the meters into kilometres and the seconds into hours.
We know that 1 kilometer is equal to 1000 meters.
⇒ 1 meter = (1/1000) kilometer
⇒ 1 meter = 0.001 kilometer
Therefore, 46.2 meters = 46.2 × (0.001) kilometers = 0.0462 kilometers
We know that 1 hour is equal to 3600 seconds.
⇒ 1 second = (1/3600) hours
⇒ 3 seconds = (3/3600) hours
Therefore the speed of the bird is equal to
speed = 0.0462 ÷ (3/3600) kilometers per hour
⇒ speed = 3600 × 0.0462 ÷ 3 kilometers per hour
⇒ speed = 3600 × 0.0154 kilometers per hour
⇒ speed = 55.44 kilometers per hour
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Disclaimer:
The question is not complete.
Assuming the following as the complete question for answering.
An eagle flies 46.2 meters in 3 seconds. We need to find the speed of the eagle in kilometers per hour.
Find the product.
23 x 536
Show your work.
Answer: 12328 is the answer
Step-by-step explanation:
You put the 536 on top and 23 on the bottom and you multiply 3 first to get 1608 then you multiply 2 to get 10720. You add these two numbers and you get 12328 as your answer! :D
The product of 23 multiplied by 536 is 12,328.
We have,
The concept used to find the product of 23 multiplied by 536 is basic multiplication.
Start with the rightmost digit of the bottom number (536), which is 6.
Multiply 6 by the top number (23). We have 6 multiplied by 3, which equals 18.
Write down the rightmost digit of the result (8) under the line.
Carry over the remaining digit, which is 1, to the next column.
Now, multiply the carried-over digit (1) by the top number (23). We have 1 multiplied by 3, which equals 3.
Add the carried-over digit (1) to the result (3), which gives us 4.
Write down the rightmost digit of this new result (4) next to the previous digit (8), giving us 48.
Finally, multiply the leftmost digit of the bottom number (5) by the top number (23). We have 5 multiplied by 3, which equals 15.
Write down this result (15) shifted one place to the left, giving us 150.
Add the two partial products: 48 + 150 = 198.
Therefore,
The product of 23 multiplied by 536 is 198.
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Evaluate. -3 2 +4.6 x(- 0.1)
Answer:-32 -0.46x is ur answer
Step-by-step explanation:
what percent of $66.50=$38.57
Answer: 58%
Step-by-step explanation:
66.50 x 0.58 = 38.57
What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Suppose we have the following information. Note: In 1851 there were 25,466 nurses in Great Britain.
Age range (yr) 20-29 30-39 40-49 50-59 60-69 70-79 80+
Midpoint x 24.5 34.5 44.5 54.5 64.5 74.5 84.5
Percent of nurses 5.8% 9.9% 19.9% 29.5% 25.4% 7.8% 1.7%
The age distribution of nurses in Great Britain at the time of Florence Nightingale will be 30 - 39, 40 - 49, etc.
How to illustrate the information?Age distribution, also known as age composition, is the proportion of people in each age group within a given population in population studies. The main reason why age distributions vary between nations is because of variations in fertility rates and trends.
It can be estimated by dividing the populations of those aged 0 to 14, and 65 and older, by those aged 15 to 64. Example: In a town, there are 6,800 people over the age of 65 and 41,650 children under the age of 14.
The percentages of people in a population who are a certain age have a significant impact on how quickly that population grows.
In conclusion, the age distribution of nurses in Great Britain at the time of Florence Nightingale will be 30 - 39, 40 - 49, etc.
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Keith has saved two thousand one hundred cents from selling lemonade. How many dollars does Keith have?
Answer:
21 dollars
Step-by-step explanation:
Cents ÷ 100 = Dollars
2100 ÷ 100 = 21
Hope this helped! (๑>◡<๑) xx
-17 = 1/5n - 20 help pls
In linear equation, n = 15 is the value of equation .
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."What is the linear equation's formula?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).
-17 = 1/5n - 20
- 17 + 20 = 1/5n
3 = n/5
n = 15
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A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up. If one of the vertices of the original triangle is located at (5,-4), what is the ordered pair of this vertex of the new triangle after the translation?
please explain how to do it step by step I'm trying to learn the topic.
A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up then the original triangle is located at (5,-4), and vertex of the new triangle after the translation is equal to = (10, -3)
A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up.
If one of the vertices of the original triangle is = (5,-4)
Then the vertex of the new triangle after the translation is,
What is a Triangle :A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Based on the given conditions, formulate,
A triangle is 5 units right.
That means, +5
And Triangle is 1 unit up.
That means, +1
Original triangle is located at (5,-4)
So, we can write,
⇒ (5+5 , -4+1)
⇒ (10, -3)
Therefore, the new triangle after the translation is equal to = (10, -3).
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My Algebra teacher is inept, and I have no idea what I’m doing. Can someone give me brief ways of solving all this? You don’t have to solve them yourself, just let me know how I would please
Answer:
The answers to the question in reference to the graph are mentioned below.
Step-by-step explanation:
It is given that we need to find the mentioned questions alongside the graphs of the functions;
Now, let us consider the first question given herein;
Domain => (-∞, +∞)Range => (-25, ∞)x-intercepts => (-5, 5)y-intercept => (-25, 0)interval positive => (-∞, -5) U (5, ∞)interval negative => (-5, -25) U (-25, 5) interval increasing => (-25, ∞)interval deceasing => (-∞, -25)Now, let us consider the second part of the question;
Domain => (-∞, ∞)Range => (7, ∞)x-intercepts => (0, 0)y-intercept => (7, 0)interval positive => (-∞, ∞)interval negative => (0, 0)interval increasing => (-∞, ∞)interval deceasing => (none)To know more about this topic, click here:
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What is 50 divided by 100, 100 divided by 10
Answer: 50/100=0.5
100/10=10
Step-by-step explanation:
50/100=
1/2=0.5
100/10=
10^2 / 10^1 =
10^(2-1)=
10^1=10
50/100=0.5
100/10=10
which model shows a sum of 0.5 and 0.32
Answer: A
Step-by-step explanation:
what is 8.65 as a fraction?
Answer:
8 13/20
Step-by-step explanation:
Please help me I’ll mark brainly
Final Correct Answer:
14n - 16g + 8
Hope this helps :)
Error:
The error was that I'm the first step where they distributed -4 to the numbers - 3n, + 4g, - 2 wrong. They multiplied with the wrong integer rules.
Real answer - how to solve:
- 4 multiply by - 3n would be + 12n (Negative times Negative equals Positive).
-4 multiply by + 4g would be - 16g (Negative times Positive equals Negative).
- 4 multiply by - 2 would be + 8 (Negative times Negative equals Positive).
So that was the error.
Step-by-step explanation:
1. Distribute.
2n - 4( - 3n + 4g - 2)
2n + 12n - 16g + 8
2. Combine Like Terms (CLT).
2n + 12n - 16g + 8
14n - 16g + 8
What is the measure of the missing angle?
[tex]\textit{sum of all interior angles}\\\\ S=180(n - 2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies S=180(5-2)\implies S=540 \\\\[-0.35em] ~\dotfill\\\\ 105+118+75+130+x~~ = ~~540\implies 428+x=540\implies x=112[/tex]
The observation deck of the Willis Tower in Chicago is 412 meters above the ground. On a scale drawing, this distance is 82.4 centimeters. The actual height of the building itself is 442 meters.
What is the height of Willis Tower in the scale drawing?
5.4 centimeters
76.8 centimeters
88.4 centimeters
112.4 centimeters
Answer: 88.4 centimeters
Step-by-step explanation:
Let's make a proportion:
412 m - 82.4 cm
442 m - x cm
Hence,
[tex]\displaystyle\\x=\frac{442*82,4}{412} \\\\x=\frac{442*82.4}{82.4*5} \\\\x=\frac{442}{5}=\\\\x=\frac{88,4*5}{5}=\\\\x=88,4\ cm[/tex]
Triangle JKL is rotated 180° clockwise about the origin.
A four quadrant coordinate plane is
shown. Triangle J K L is graphed. Point J is
located at three comma six. Point K is
located at six comma two. Point L is
located at one comma two.
What are the coordinates of the vertices of J'K'L'?
A J'(−6, 3), K'(−2, 6), L'(−2, 1)
B J'(6, –3), K'(2, –6), L′(2, −1)
C J'(–3, –6), K'(-6, -2), L'(-1,-2) D J’(-3,6), K’(-6,2), L’(-1,2
Answer:
we conclude that if JKL is rotated 180° clockwise about the origin, what are the new coordinates of point J(-4, 6) will be: J' (4, -6)
Hence, the answer choice (B) is correct.
Step-by-step explanation:
The rule of rotating a point 180° clockwise about the origin states that if we rotate a point P(x, y) 180° clockwise about the origin, it would take a new position with the coordinates P'(-x, y).
In other words, the sign of its x and y coordinates change.
Thus, the rule is:
P(x, y) → P'(-x, -y)
Given the triangle ΔJKL with the coordinates
J(-4, 6)
K(-1, 2)
J(-4, 2)
Thus, according to the rule:
P(x, y) → P'(-x, -y)
The new position of point J (-4, 6) will be J' (4, -6)
The new position of point K (-1, 2) will be K' (1, -2)
The new position of point L (-4, 2) will be L' (4, -2)
Finally, we conclude that if JKL is rotated 180° clockwise about the origin, what are the new coordinates of point J(-4, 6) will be: J' (4, -6)
Hence, the answer choice (B) is correct.
Which of the values in the following data set would have a relative frequency of 30%? 10, 20, 20, 50, 30, 20, 10, 50, 60, 70
20 is the value in the given data set which have a relative frequency of 30%.
Given,
The data set as,
10, 20, 20, 50, 30, 20, 10, 50, 60, 70.
We have to find the value from the above given data set which have a relative frequency of 30%.
Relative frequency = (subgroup count / total count) × 100
Here, 20 is the most repeating value. So we can calculate with it.
There are three 20's in the set.
So, subgroup count = 3
Total count = 10
Then,
Relative frequency = (3/10) × 100 = 30
Hence, we can conclude that 20 is the value in the given data set which have a relative frequency of 30%
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Think about the law of supply.it states that as prices rise quantity supplied will rise and as prices fall quantity supplied will fall. Now think about the flat screen TV market over the last 15 years or so the prices have come down significantly but there are many more flat screens TVs produced today than there were 15 years ago. Does this violate the law of supply ?
It does not violate the law of supply.
The law of supply states that the quantity of a good supplied (i.e., the amount owners or producers offer for sale) rises as the market price rises, and falls as the price falls. Conversely, the law of demand says that the quantity of a good demanded falls as the price rises, and vice versa.
we can also say that ,The law of supply says that a higher price will induce producers to supply a higher quantity to the market. Because businesses seek to increase revenue, when they expect to receive a higher price for something, they will produce more of it.
An increase in price almost always leads to an increase in the quantity supplied of that good or service, while a decrease in price will decrease the quantity supplied.
The law of supply is a fundamental principle of economic theory which states that, keeping other factors constant, an increase in price results in an increase in quantity supplied.In other words, there is a direct relationship between price and quantity: quantities respond in the same direction as price changes.
Hence ,It does not violate the law of supply.
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Tell whether the sum is positive, negative, or zero without adding. Explain
your reasoning.
30+(-30)
Answer:
Step-by-step explanation:
the sum is 0.
30+(-30)
= 30-30
=0
The scale factor for a toy animal is 1:30. The toy animal is 5 inches tall. How tall is the actual animal?
The animal is 150 inches tall .
Scale Factor = ( scale / actual )
Given : Scale Factor = ( 1 / 30 )
To find : the actual height of animal .
Let t be the actual height of animal .
Therefore Scale Factor comes out to be ( 5 / t ) .
Equating both the scale factors and hence finding the value of t ,
( 1 / 30 ) = ( 5 / t )
t = 150 inches .
Therefore , the animal is 150 inches tall .
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The formula for the surface area, S, of a cone is shown below. solve the formula for the length l.
Answer:
l = [tex]\frac{S-\pi r^2}{\pi r}[/tex]
Step-by-step explanation:
S = πr² + πrl ( subtract πr² from both sides )
S - πr² = πrl ( isolate l by dividing both sides by πr )
[tex]\frac{S-\pi r^2}{\pi r}[/tex] = l
Answer:
[tex] l = \dfrac{S - \pi r^2}{\pi r} [/tex]
Step-by-step explanation:
[tex]S = \pi r^2+\pi rl[/tex]
[tex]\pi r^2+\pi rl = S[/tex]
[tex]\pi rl = S - \pi r^2[/tex]
[tex] l = \dfrac{S - \pi r^2}{\pi r} [/tex]
The distribution of the weights of a sample of 1,400 cargo containers is symmetric and bell-shaped. (need help asap)
A. According to the Empirical Rule, what percent of the weights will lie between X−3s and X+3s ? (Round your answer to 2 decimal places.)
B. According to the Empirical Rule, what percent of the weights will lie between X and X+ 3s (Round your answer to 2 decimal places.)
C. According to the Empirical Rule, what percent of the weights will lie below X−3s ? (Round your answer to 2 decimal places.)
C.
Using the Empirical Rule, the percentages are given as follows:
a) 99.7%.
b) 49.85%.
c) 0.15%.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:
In item a, the bounds are within 3 standard deviations of the mean, hence the percentage is of 99.7%.In item b, the bounds are within the mean and 3 standard deviations above the mean. Considering the symmetry of the normal distribution, the percentage is of 49.85%, as 99.7/2 = 49.85%.For item c, we have that 0.3% of the measures are more than 3 standard deviations of the mean. Considering the symmetry, we have that 0.3%/2 = 0.15% are below 3 standard deviations below the mean, that is, below X - 3s.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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You pay off a debt of $300 by paying 70%
Answer: you would be paying 210$ if that’s what you’re asking
Step-by-step explanation:
Harry needs wood pieces to complete a project in woodshop class. He needs six pieces of wood that have a length of two and five eighths feet and three pieces of wood that are one and one fifth feet. What is the total amount of wood that Harry will need for the project?
nineteen and seven twentieths feet
three and 5 over 6 feet
three and 1 over 7 feet
two and one fifth feet
The total amount of that Harry will need for the project is nineteen and seven twentieth feet. option A
Addition of FractionWood 1:
Length of each = 2 5/8 feetNumber of pieces = 6Total = Length of each × Number of pieces
= 2 5/8 × 6
= 21/8 × 6
= 126 / 8
= 15 3/4 meters
Wood 2:
Length of each = 1 1/5 feetNumber of pieces = 3Total = Length of each × Number of pieces
= 1 1/5 × 3
= 6/5 × 3
= 18/5
= 3 3/5 meters
Total amount of wood needed for the project = 15 3/4 meters + 3 3/5 meters
= 126/8 + 18/5
= (630+144) / 40
= 774/40
= 19 14/40
= 19 7/20 meters
Therefore, the total amount of wood that Harry will need for the project is nineteen and seven twentieths feet. option A
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Pls help. You just need to solve for x I will mark you a branlyest
Answer:X=27
Step-by-step explanation:
(36-90)-180=54
54/2=27=x
Answer:
x = 27
Step-by-step explanation:
36 + ∠MON + 2x = 180
since ∠MON = 90
then 2x = 180 - 90 - 36
2x = 54
x = 27
how would you sketch a plot of the line on y=-2x+16
Answer: Draw a straight line through (0, 16) and (1, 14)
The graph is below.
=========================================================
Explanation:
There are at least two approaches we can take
-----------------
Method 1
Plug in x = 0 to find that....
y = -2x+16
y = -2(0)+16
y = 16
The point (x,y) = (0,16) is on the line. This is the y intercept
Repeat similar steps for x = 1
y = -2x+16
y = -2(1)+16
y = 14
The point (1, 14) is also on the line
Plot the points (0, 16) and (1, 14). Then draw a straight line through them to complete the graph for y = -2x+16
You only need 2 points at minimum to draw a linear graph.
The graph is shown below. Ignore the stuff in red.
-----------------
Method 2
Compare y = -2x+16 to the form y = mx+b
m = -2 = slopeb = 16 = y interceptThe y intercept is where the graph crosses the y axis. In this case, it's at the location (0, 16)
Start at this point and move down 2 units and to the right 1 unit to arrive at (1, 14) which is another point on the line.
The stuff in red shows this motion of "down 2, right 1"
note that slope = -2 = -2/1 = rise/run
rise/run = -2/1
rise = -2 = go down 2
run = 1 = go to the right 1
-----------------
Side note: You can use a graphing tool like Desmos or GeoGebra to graph quickly. I used GeoGebra to make the diagram below. Though it's handy to have practice to do it by hand.