When on a stem and leaf plot and it does not show a number on the right side and only on the right side, the number on the right side would be zero.
What is a stem and leaf plot?A stem and leaf plot is a method of organizing numerical data into groups. It is a visual representation of a dataset in which each value is separated into a stem and a leaf. A stem is the left-hand digit(s) of the value, while a leaf is the right-hand digit(s).
The stem and leaf plot contains two columns, one for the stem and the other for the leaf. The stem values are arranged vertically in the left-hand column, and the leaf values are arranged horizontally in the right-hand column. The leaf column should be read from left to right to extract the values.
When a value appears multiple times, its leaves are stacked on top of one another. The stem and leaf plot is an effective method for representing data, particularly when dealing with large datasets.
Hence, If a stem and leaf plot displays a number only on the left side and not on the right side, then the number on the right side would be interpreted as zero.
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in a regression analysis, the coefficient of determination measures goodness of fit. independence of variables. economic plausibility. independence of residuals.
The coefficient of determination measures goodness of fit.
The coefficient of determination, often referred to as R-squared, measures the goodness of fit in a regression analysis. It does not measure the independence of variables, economic plausibility, or independence of residuals.
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the amount of time it takes john to wait in line at the bank is continuous and uniformly distributed between 7 minutes and 17 minutes. what is the probability that it takes john between 9 and 12 minutes to wait in line at the bank?
The probability of John waiting is
0.333.
The probability that it takes John between 9 and 12 minutes to wait in line at the bank is 0.333.
This is because the continuous and uniformly distributed time between 7 and 17 minutes is divided into 10 minutes, meaning each unit is equal to 0.1. Therefore,
the probability of John waiting between 9 and 12 minutes is 3 units of 0.1 which is 0.333.
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a family trip to washington d.c considers the following scenarios: transportation (plane, car, train) and weather conditions (sunny, windy, rainy, cloudy). how many different combinations are possible?
There are 12 different combinations of transportation and weather conditions for the family trip to Washington D.C.
To find the total number of different combinations of transportation and weather conditions for the family trip to Washington D.C, we can use the multiplication rule of counting, which states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.
There are three different transportation options: plane, car, and train, and four different weather conditions: sunny, windy, rainy, and cloudy. To find the total number of different combinations, we simply need to multiply the number of transportation options by the number of weather conditions:
Total number of combinations = number of transportation options x number of weather conditions
Total number of combinations = 3 x 4
Total number of combinations = 12
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q. what shape is the base? what is the area of the base (b)? multiple choice question. a) rectangle; 60in2 b) rectangle; 32 in2 c) triangle; 6 in2 d) triangle; 12 in2
the correct answer is either (c) or (d), depending on the size of the object. If the object is small, the base is likely to be a triangle with an area of 6in2. If the object is larger, the base is likely to be a triangle with an area of 12in2.
The question asks about the shape and area of the base of an object. The possible answers are a rectangle with an area of 60in2, a rectangle with an area of 32in2, a triangle with an area of 6in2, and a triangle with an area of 12in2.
To determine the correct answer, it is important to understand what the base of an object is. The base is the surface upon which the object rests, and it is often a flat, two-dimensional shape. The area of the base is the measure of the surface area of that shape.
Answer (a) is a rectangle with an area of 60in2. This means that the length and width of the rectangle multiply to give a product of 60. However, we are not given any measurements of the object, so we cannot determine if this is correct.
Answer (b) is a rectangle with an area of 32in2. Again, we are not given any measurements of the object, so we cannot determine if this is correct.
Answer (c) is a triangle with an area of 6in2. This means that the base and height of the triangle multiply to give a product of 12, and then divide by 2 to get an area of 6.
Answer (d) is a triangle with an area of 12in2. This means that the base and height of the triangle multiply to give a product of 24, and then divide by 2 to get an area of 12.
Based on this information, we can see that the correct answer is either (c) or (d), depending on the size of the object. If the object is small, the base is likely to be a triangle with an area of 6in2. If the object is larger, the base is likely to be a triangle with an area of 12in2.
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the price of firewood 4 years ago was $140 per cord. today, a cord of wood costs $182. what has been the annual rate of increase in the cost to the nearest tenth of a percent?
Using the formula for compound interest we find that the annual rate of increase in the cost of firewood is approximately 7.8%.
We can use the formula for compound interest to calculate the annual rate of increase:
A = P(1 + r)^n
where A is the final price, P is the initial price, r is the annual rate of increase, and n is the number of years.
We know that P = $140, A = $182, and n = 4, so we can solve for r:
182 = 140(1 + r)^4
(1 + r)^4 = 1.3
1 + r = 1.3^(1/4)
r ≈ 0.0777
The annual rate of increase is approximately 0.0777 or 7.8% to the nearest tenth of a percent.
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what is the equivalent expression of (2x+3)(4x^2-x-5)
Answer:
8x^(3)+10x^(2)-13x-15
Step-by-step explanation:
Nora is taking a multiple choice test with a total of 100 points available. Each
question is worth exactly 2 points. What would be Nora's test score (out of 100) if she
got 6 questions wrong? What would be her score if she got x questions wrong?
Score with 6 questions wrong:
Score with a questions wrong:
Submit Answer
attempt 1 out of 2
The score with 6 wrong answers is 88, and with x is modeled by the function:
S(x) = 100 - 2x
What will be her score with 6 questions wrong?We know that the test has a total of 100 points avaible, such that each question is whort 2 points.
So, if she answers 6 questions wrong, she will get a total of 100 points minus 6 times 2 points, this gives:
100 - 6*2 = 100 - 12 = 88 points.
Now, similarly, if she gets x questions wrong, the total score will be 100 minus 2 times x, then we define the linear function:
S(x) = 100 - 2x
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2. The base of a right triangular prism has an area of 98 square units. If the total surface area of
the prism is 466 square units, which of the following are possible areas for the faces of the
prism?
O30, 110, and 190 square units
O 40, 80, and 120 square units
O 50, 100, and 150 square units
O 60, 90, and 120 square units
(1
Optiοn 2: 40, 80, and 120 square units, is the οnly set οf regiοns fοr the prism's faces that are viable.
Hοw is a triangular prism defined?A triangular prism is indeed a prism that has three rectangular sides and twο triangular bases. A pentahedrοn, that is. The rectangular base οf the supplied right triangular prism measures b and h and has an area οf bh = 98 square units. Let l stand in fοr the prism's height. The prism's entire surface area is calculated as fοllοws:
2bh + bl + lh
By simplifying and replacing the values οf bh, we οbtain:
2(98) + bl + lh = 466
bl + lh = 135
The areas οf the twο nοn-base sides οf a prism are each (1/2)bl since they are equivalent right triangle with legs b and l. Let's examine each οf the available respοnses tο see if it cοmplies with the requirements:
Optiοn 1: 30, 110, and 190 square units
If the area οf οne οf the nοn-base faces is 110 square units, then (1/2)bl = 110, sο bl = 220. But bl + lh = 135, sο this is nοt pοssible. This grοup οf lοcatiοns is therefοre nοt feasible.
Optiοn 2: 40, 80, and 120 square units
If the area οf οne οf the nοn-base faces is 80 square units, then (1/2)bl = 80, sο bl = 160. This means that lh = 135 - bl = 135 - 160 = -25, which is nοt pοssible. Sο this set οf areas is nοt pοssible.
Therefοre, this set οf areas is nοt pοssible. This grοup οf areas cannοt thus be achieved. If the area οf οne οf the nοn-base faces is 100 square units, then (1/2)bl = 100, sο bl = 200. But bl + lh = 135, sο this is nοt pοssible. Hence, it is impοssible tο cοver this grοup οf areas.
Optiοn 4: 60, 90, and 120 square units
If the area οf οne οf the nοn-base faces is 90 square units, then (1/2)bl = 90, sο bl = 180. This means that lh = 135 - bl = 135 - 180 = -45, which is nοt pοssible. Sο, this set οf areas is nοt pοssible.
Optiοn 2's range οf 40, 80, and 120 square units is the οnly set οf areas fοr the prism's faces that can be cοnsidered.
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The area of the given square is cot the power of 2
the area of a square is always the square of its side length, and if the area cannot be expressed as the square of an integer, then we can say that it is not the power of 2.
A square is a quadrilateral that has four equal sides and four right angles. The area of a square is the product of its length and width, which are equal in the case of a square. So, the formula for the area of a square is:
Area = side × side
or
Area = side²
In other words, the area of a square is the square of its side length.
Now, when we say that the area of a square is "not the power of 2," it means that the area cannot be expressed as a perfect square of an integer. For example, if the area of a square is 25, then it is the square of 5, which is an integer, and so the area is the power of 2.
However, if the area of a square is, say, 12, then it cannot be expressed as the square of an integer, since the square of any integer is always a whole number. Therefore, we can say that the area of the given square is not the power of 2.
In summary, the area of a square is always the square of its side length, and if the area cannot be expressed as the square of an integer, then we can say that it is not the power of 2.
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binomial a lottery will be held. from 1000 numbers, one will be chosen as the winner. a lottery ticket is a number between 1 and 1000. how many tickets do you need to buy in order for the probability of winning to be at least 50%?
we need to buy at least 694 tickets to have a probability of winning at least 50%.
We can use the binomial distribution formula to solve this problem. Let X be the number of tickets we need to buy to have a probability of winning at least 50%. Then:
P(X ≥ 1) ≥ 0.5
This means that the probability of winning with at least one ticket is at least 50%. We can find this probability using the complement rule:
P(X ≥ 1) = 1 - P(X = 0)
The probability of not winning with any ticket is:
P(X = 0) = (999/1000)^n
where n is the number of tickets we buy. Therefore:
1 - (999/1000)^n ≥ 0.5
Simplifying this inequality, we get:
(999/1000)^n ≤ 0.5
Taking the logarithm of both sides, we get:
n log(999/1000) ≤ log(0.5)
n ≥ log(0.5) / log(999/1000)
n ≥ 693.15
Therefore, we need to buy at least 694 tickets to have a probability of winning at least 50%.
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What’s 3.14 times six?
Answer:
18.84
Step-by-step explanation:
:)
a manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 9 inches and standard deviation of 1 inches. if a sample of 50 items are chosen at random, what is the probability the sample's mean length is greater than 9.1 inches? round answer to
If a sample of 50 items are chosen at random. the probability that the sample mean length is greater than 9.1 inches is 0.0571, or 5.71%.
How to find the probability?The sample mean of the 50 items follows a normal distribution with mean equal to the population mean (μ), and standard deviation equal to σ/√n, where n is the sample size.
Substituting the given values, we have:
= μ = 9 inches
= σ/√n = 1/√50 inches
Now, we need to standardize the sample mean distribution to find the corresponding z-score using the formula:
z = (X- μX) / σX
Substituting the given values, we have:
z = (9.1 - 9) / (1/√50) = 1.58
The probability of getting a z-score of 1.58 or less is 0.9429. Therefore, the probability of getting a z-score of 1.58 or greater is:
P(z > 1.58) = 1 - P(z ≤ 1.58) = 1 - 0.9429 = 0.051
Therefore the probability that the sample mean length is greater than 9.1 inches is 0.0571.
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Really appreciated d :) 25points (Reupload)
Answer:
,,,
Step-by-step explanation:
Answer:
Scientifically proven that there is a 60% chance you will get an odd number and a 40% chance you will get an even number.
I hope this helps!!
PLEASE HELP An elevator goes down 3 floors, up 5 floors, and finally down 7 floors. Which expression represents the total number of floors the elevator traveled?
*
A | -3 | + | 5 | + | -7 |
B | -3 | - | 5 | + | -7 |
C ( -3 ) + 5 + ( -7 )
D 3 - 5 + 7
Answer:
B is the answer
Step-by-step explanation:
Use the numbers. Please help
Step-by-step explanation:
A negative divided by a negative gives a positive
If we put the biggest negative divided by the smallest negative, that gives our best chance
[tex] \frac{ - 10}{ - (\frac{2}{5} )} = 25[/tex]
the altitude of a triangle is increasing at a rate of centimeters/minute while the area of the triangle is increasing at a rate of square centimeters/minute. at what rate is the base of the triangle changing when the altitude is centimeters and the area is square centimeters?
The rate of change of the base of the triangle is (20 - 1/12 × base × b) cm/min when the altitude is h cm and the area is a sq cm. And this is solved by the concept of Differentiation.
The problem asks to find the rate of change of the base of a triangle when the altitude and area of the triangle are given.
Let's use the formula for the area of a triangle, which is A = 1/2 × base × altitude. Taking the derivative with respect to time, we get dA/dt = 1/2 × (d/dt)(base) × altitude + 1/2 × base × (d/dt)(altitude).
Now, we are given that dA/dt = the rate of change of the area = a constant value. Also, we know that (d/dt)(altitude) = the rate of change of the altitude = b cm/min.
Therefore, we can substitute these values into the formula above to get:
a = 1/2 × (d/dt)(base) × h + 1/2 × base × b
We want to find (d/dt)(base) when h and a are given. Since h is given, we can solve for (d/dt)(base) by isolating it in the equation above:
(d/dt)(base) = (2/a) × (a - 1/2 × base × b)/h
Substituting the given values of h and a, we get:
(d/dt)(base) = (2/60) × (120 - 1/2 × base × b)/6
where b is given in cm/min. Simplifying this expression, we get:
(d/dt)(base) = (20 - 1/12 × base × b) cm/min
Therefore, the rate of change of the base of the triangle is (20 - 1/12 × base × b) cm/min when the altitude is h cm and the area is a sq cm
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Land's Bend sells wide variety of outdoor equipment and clothing: The company sells both through mail order and via the internet: Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale random sample of 17 sales receipts for mail-order sales results in mean sale amount of $70.60 with standard deviation of 521.75. A random sample of 9 sales receipts for internet sales results in mean sale amount of $87.30 with standard deviation of S18.75 . Using this data, find the 99 % confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases: Assume that the population variances are not equal and that the two populations are normally distributed.
Step of 3 : Find the point estimate that should be used in constructing the confidence interval:
16.70Therefore, the point estimate that should be used in constructing the confidence interval is -$16.70.
To find the point estimate that should be used in constructing the confidence interval, the formula for the point estimate can be used. The formula is as follows: Point Estimate = Sample Mean of Mail-Order Sales - Sample Mean of Internet Sales = $70.60 - $87.30 = -$16.70.How to find the point estimate?The point estimate is the best estimate of the unknown population parameter based on a given sample of data. In this case, the unknown population parameter is the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases.
To find the point estimate, we need to calculate the difference between the sample mean of mail-order sales and the sample mean of internet sales .The formula for the point estimate is given by :Point Estimate = Sample Mean of Mail-Order Sales - Sample Mean of Internet Sales= $70.60 - $87.30= -$
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The quadratic function of d = 7x^2 + 80 models a ball’s distance, in feet from the bottom of the hill x seconds after the ball is rolled down the hill. I know the answer is (approximately) 3.4, but how do I get to there without a graph
Answer:
3.38
Step-by-step explanation:
Set the equation given equal to 0 and solve for x, this will give you the distance the ball travels. Use the absolute value of the 80 to be able to get a positive number, because time is a positive number.
[tex]0=7x^2+80\\7x^2=-80\\x=\sqrt{\frac{80}{7}\\\\x=3.38062[/tex]
Can someone pls help me (you are the best)
The answer is x=6x +2
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π.
SOMEONE PLEASE HELP ME!! 40 POINTS
Answer:
61.27
Step-by-step explanation:
Circle perimeter formula: C=2πr
Quarter circle=2πr/4. Given r=11cm
2x3.14x11/4=17.27
Rectangle perimeter: C=2(a+b)
=2（2+20）=44
so, total: 17.27+44=61.27
Mr. Johnson placed three desks together in his classroom. Each desk measures at 1.5 meters.
How many centimeters are all three desks?
Answer: 7.62
Step-by-step explanation:
Answer:
350 centimeters
Step-by-step explanation:
1.5 meters x 3 = 3.5 meters
There are 100 centimeters in one meter
So, 3.5 x 100 = 350
Which is the best estimate of the perimeter of the figure? one side is 6
Option (C) yields the perimeter of the supplied figure, which is 45 feet.
What is the perimeter?In geometry, the perimeter is the overall length of a shape's boundary.
The perimeter of a shape is determined by adding the lengths of all of its edges and sides.
Linear measurements like centimeters, meters, inches, and feet are used to express their dimensions.
So, two circles and one square make up the figure.
A square's perimeter is equal to 4. (side)
The square's side length is 5 feet.
Put the value in the equation as a replacement -
Perimeter of square = 4(5)
Perimeter of square = 20 feet
The circle's radius is equal to 2.5 feet.
A circle's perimeter is equal to 2r.
Put the value in the equation as a replacement -
Perimeter of circle = 2π(2.5)
Perimeter of circle = 5π
Due to the two circles, the circumference is 2 + 5 = 10 ft.
The figure's border measures -
The total perimeter equals the sum of the square and circle perimeters.
Total perimeter = 2.5 + 10π
Total perimeter = 2.5 + 10(3.14)
Total perimeter = 12.5 + 31.4
Total perimeter = 43.9 feet ≈ 45feet
Therefore, option (C) yields the perimeter of the supplied figure, which is 45 feet.
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Correct question:
Which is the best estimate of the perimeter of the figure? Use 3.14 for pie.
State the degree of the polynomials
2r^3v + 150r – r^4 v^2
Answer:
11
Step-by-step explanation:
add up the exponents
3+1+1+4+2=11
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given the following exponential function, identify whether the change represents growth or decay and determine the percentage rate of increase or decrease y=620(0.941)x
the function represents exponential decay with a rate of decrease of 5.9% per unit increase in x.
In the exponential function y = [tex]620(0.941)^x:[/tex]
The base of the exponent is 0.941, which is between 0 and 1.
As x increases, the value of [tex](0.941)^x[/tex]gets smaller and smaller, approaching 0 but never reaching it.
Therefore, the function represents exponential decay.
To determine the percentage rate of decrease, we can use the formula:
rate of decrease = (1 - base) x 100%
In this case, the base is 0.941, so the rate of decrease is:
rate of decrease = (1 - 0.941) x 100% = 5.9%
The exponential function is y = 620(0.941)^x.
To determine whether the function represents growth or decay, we need to look at the base of the exponential function, which is 0.941. Since this base is less than 1, the function represents decay.
To determine the percentage rate of decrease, we can use the formula:
r = (1 - b) x 100%
where r is the percentage rate of decrease, and b is the base of the exponential function.
In this case, b = 0.941, so we have:
r = (1 - 0.941) x 100%
= 0.059 x 100%
= 5.9%
Therefore, the exponential function y = 620(0.941)^x represents decay with a rate of 5.9% per unit of x.
A sort of mathematical function called exponential decay can be used to explain a quantity's decline across time or space. The quantity at any given time will change at a pace that is proportionate to the quantity itself, which is characterised by a decreasing rate of change. In other words, the amount of reduction decreases as time or space grows, but it never decreases to zero.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=620(0.941)^x y=620(0.941) x
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SOMEONE PLEASE DO THIS FOR ME I WILL SELL MY SOUL AND A BUNCH OF THE LITTE POINT THINGS
Answer: SORRY THIS TOOK FOREVER ITS SO HARD- THE ANSWER IS F, C, D, H, E, A, G, B!!!
Step-by-step explanation:
THE LEAST TO GREATEST ARE F, C, D, H, E, A, G, B! HOPE IT HELPED!! :D
Which expression is equivalent to 0.75a + 10b + a – 2b?
Answer:
1.75a + 8b
Step-by-step explanation:
0.75a + 10b + a - 2b ← collect like terms
= (0.75 + 1a) + (10b - 2b)
= 1.75a + 8b
Answer:
1.75a+8b
Step-by-step explanation:
Given here, 0.75a + 10b + a – 2b = 0.75a+a+10b-2b
=1.75a+8b
Hence, The required equivalent expression is 1.75a+8b
make x the subject of the formula
y = 7x + 4
|||
Calculator
Cone X has a diameter of 20 ft and a height of 16 ft. Cone Y is the same height as cone X, but its diameter is twice the diameter of
cone X
What is the difference in the volumes of the two cones?
Use 3.14
05.024 ft
15.072 ft
O 20.096 ft
3.01 Readiness Checkpoint: Volumes of Cylinders and Cones Di
I don't know
2 3
4 Finish
Answer:
(a) 5024 ft³
Step-by-step explanation:
You want the difference in volumes of two cones with height 16 ft, where the larger has diameter 40 ft and the smaller has diameter 20 ft.
VolumeThe volume of a cone is given in terms of its radius as ...
V = π/3(r²h) . . . . . . r=radius; h=height
The radius is half the diameter, so the formula with diameter is ...
V = π/3(d/2)²h = π/12d²h
DifferenceThe two given cones have the same height, but different diameters. The difference in volumes will be ...
V2 -V1 = (π/12)((d2)²h) -(π/12)((d1)²h) = (πh/12)((d2)² -(d1)²)
V2 -V1 = 3.14(16 ft)/12 × ((40 ft)² -(20 ft)²) = 3.14·16/12·1200 ft³
= 3.14·1600 ft³ = 5024 ft³
The difference in volumes of the two cones is 5025 cubic feet.
Solve for x.
10
40
10
X
X
Set up the proportion.
[?]
Enter
Answer:
x = 20
Step-by-step explanation:
If an altitude is drawn to the hypotenuse of a right triangle, then the altitude is the geometric mean between the segments on the hypotenuse.
[tex] \frac{10}{x} = \frac{x}{40} [/tex]
[tex] {x}^{2} = 400[/tex]
[tex]x = 20[/tex]
Answer:
[tex]\frac{10}{x} =\frac{x}{40} \\\\x=20[/tex]
Step-by-step explanation:
Please help and please hurry