Which multiplication expression is equal to
Answer: A I think
Step-by-step explanation:1/3 ÷ 2/5=1/3×5/2
Wes and Leslie create an ice rink by spraying water on an area that is 28 feet by 21 feet. The ice is 6 inches think. Estimate the volume of the ice in their rink.
Which measure of variability is the most appropriate for this set of values? OA range OB. interquartile range OC. mean absolute deviation OD. absolute deviation O E. either interquartile range or mean absolute deviation
The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have data shown in the picture.
As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.
For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.
Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
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what is the equation of y=x^3 with the given transformations
Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.
2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.
3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.
4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.
5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.
6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.
Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
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Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?
Answer:
840
Step-by-step explanation:
7000×2×6 ÷ 100. since it is 2%
= 840
Clare has 5 yards of ribbon. It takes 1/2 yard to make a bow. How many bows can Clare make with the ribbon? Write a multiplication and division equation showing the solution.
Answer:
10 yards (Add label!!)
Step-by-step explanation:
5x1/2=10
Clare can make 10 bows with ribbon.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Clare has 5 yards of ribbon.
It takes 1/2 yard to make a bow.
The number of bows = 5 ÷ 1/2 {division equation}
The number of bows = 5 x 2/1 = 10 {multiplication equation}
Therefore, the number of bows is 10.
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four cards are drawn from a deck without replacement. find the probability all cards are black cards.
The probability that all four cards drawn from a deck are black cards is 1/4165.
There are 26 black cards and 52 cards in a standard deck of cards. Therefore, the probability of drawing a black card from a standard deck of cards is 26/52 or 1/2. In the first draw, there are 26 black cards out of 52 cards, so the probability of drawing a black card is 26/52.
In the second draw, there are 25 black cards left out of 51 cards, so the probability of drawing a black card is 25/51. In the third draw, there are 24 black cards left out of 50 cards, so the probability of drawing a black card is 24/50. In the fourth draw, there are 23 black cards left out of 49 cards, so the probability of drawing a black card is 23/49.
Using the multiplication principle of probability, the probability that all four cards drawn from a deck are black cards is 26/52 × 25/51 × 24/50 × 23/49 = 1/4165.
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Calculate each Poisson probability: a. P(X = 7), λ = 6 (Round your answer to 4 decimal places.) b. P(X = 11), λ = 12 (Round your answer to 4 decimal places.) c. P(X = 6), λ = 8 (Round your answer to 4 decimal places.)
P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.
The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.
To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!
Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.
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i really need help with this ima offering 40
evaluate dw/dt at t = 4 for the function w (x,y)= e^y - ln x; x = t^2, y = ln t
dw/dt at t = 4 = -2/4 + 4 = 3
We can use the chain rule to find dw/dt:
dw/dt = (∂w/∂x) (dx/dt) + (∂w/∂y) (dy/dt)
First, we need to find ∂w/∂x and ∂w/∂y:
∂w/∂x = -1/x
∂w/∂y = e^y
Next, we can substitute x = t^2 and y = ln t into these expressions:
∂w/∂x = -1/(t^2)
∂w/∂y = e^(ln t) = t
We also have dx/dt = 2t and dy/dt = 1/t. Substituting all these values into the formula for dw/dt, we get:
dw/dt = (∂w/∂x) (dx/dt) + (∂w/∂y) (dy/dt)
= (-1/(t^2)) (2t) + (t) (1/t)
= -2/t + t
Finally, we can evaluate dw/dt at t = 4:
dw/dt = -2/t + t
dw/dt at t = 4 = -2/4 + 4 = 3
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Help me please! I need to get this done to go outside :(
Answer:
98ft.
Step-by-step explanation:
Question is asking for the total square feet of laminate wood to cover the entire retail store. Add all the sides together to get your answer.
i need the area of this shape the top is a triangle the bottom is a square
Answer:
Area = 146.75 m^2
Step-by-step explanation:
Triangle:
a = 1/2bh
a = 1/2 x 10 x 9.35
a = 46.75
Square:
a = lw
a = 10 x 10
a = 100
46.75+100 = 146.75
HELP OMG
I LOST MY AIRPODS AT SCHOOL
Answer:
how should we help?
Step-by-step explanation:
Answer:
dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...
~ i hope this has helped ya out some how, hope ya find your airpods my friend!~
Step-by-step explanation:
The sum of two numbers is 2490. Find the numbers if 8.5% of the first is equal to 6.5% of the second.
Thus the numbers are 1411 and 1079 respectively.
4. In the triangle ABC, angle A = 90° and
sec B = 2
a.Work out the size of angles B and C.
b.Find tan B.
c. Show that 1 + tan² B = sec² B.
Step-by-step explanation:
here the answers is it helpful
maya achievements in mathematics were closely related to what other area?
Maya achievements in mathematics were closely related to astronomy.
How were Maya achievements closely related to astronomy?
The Maya civilization made advancements in both mathematics and astronomy and these two fields were intricately interconnected in their culture. The Maya developed a highly sophisticated numerical system which allowed them to perform complex calculations and create precise astronomical predictions.
They meticulously observed celestial bodies and recorded their movements, developing calendars and astronomical tables that aided in agricultural planning, religious rituals, and governance. By studying the stars, planets and celestial events, the Maya not only expanded their understanding of the universe but also used mathematical principles to navigate time and space.
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A circle has a diameter that measures 14in. what is the area of the circle to the nearest tenth?
Answer:
153.9
Step-by-step explanation:
14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.
Answer:
153.9
Step-by-step explanation:
We know that the equation to find the area of a circle in \(\pi r^2\\\). So we divide the diameter by half and we plug in the radius.
4x+32>-204 help plz help I really need this
X> -43
Step-by-step explanation:
Hope it's helpful ❤❤❤❤
THANK YOU.
Answer:
\(x > - 59\)
Step-by-step explanation:
1. Subtract 32 from both sides.
\(4x > - 204 - 32\)
2. Simplify -204-32 to 236.
\(4x > - 236\)
3. Divide both sides by 4.
\(x > - \frac{236}{4} \)
4. Simplify 236/4 to 59.
\(x > -59\)
Therefor, the answer is, X > -59.
describe all solutions of ax0 in parametric vector form, where a is row equivalent to the given matrix.
In linear algebra, solving an equation of the form Ax=b involves finding the values of the variables that make the equation true. The solutions to the equation 2x + 3y + 5z = 7 in parametric vector form are given by the set of vectors { (1/3, y, y) : y ∈ ℝ }, where ℝ is the set of all real numbers.
The solutions of Ax=b in parametric vector form are expressed in terms of a free variable or variables, which can take on any value, and a set of dependent variables, which are expressed in terms of the free variable(s). The dependent variables are determined by the values of the free variable(s) and the row-reduced echelon form of A.
To find the parametric vector form of the solutions to Ax=b, we start by row-reducing the augmented matrix [A|b] to its row-reduced echelon form [R|c]. The last non-zero row of R will have a leading coefficient (pivot) in a column corresponding to a dependent variable, while the other columns correspond to free variables.
We then express the dependent variables in terms of the free variables and write the solution set in parametric vector form as a linear combination of vectors, where each vector represents a combination of the free variables. The free variables are usually represented by parameters, such as t, u, or v.
For example, consider the equation 2x + 3y + 5z = 7. The augmented matrix is [2 3 5 | 7]. By row-reducing the matrix, we obtain the row-reduced echelon form [1 0 -5/3 | 1/3], which corresponds to the equation x - (5/3)z = 1/3. We can express z in terms of the free variable y as z = y, and write the solution set in parametric vector form as x = 1/3 + (5/3)y, y = y, z = y.
Therefore, the solutions to the equation 2x + 3y + 5z = 7 in parametric vector form are given by the set of vectors { (1/3, y, y) : y ∈ ℝ }, where ℝ is the set of all real numbers. Each vector in this set represents a combination of the free variables that satisfies the equation.
In general, the parametric vector form of the solutions to Ax=b is a concise and useful way to describe all possible solutions to a system of linear equations. It allows us to express the solutions in a clear and organized manner, making it easier to analyze and understand the behavior of the system.
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A jug holds 10 pints of milk. If each child gets one cup of
milk, it can serve how many children?
A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve 20 children. To determine how many children can be served with the 10 pints of milk, we need to convert pints to cups and divide the total amount of milk by the amount each child will receive.
1. Convert 10 pints to cups:
Since there are 2 cups in a pint, we can multiply 10 pints by 2 to get the total number of cups.
10 pints x 2 cups/pint = 20 cups of milk.
2. Divide the total cups of milk by the amount each child will receive:
Since each child gets one cup of milk, we can divide the total cups of milk by 1 to find the number of children that can be served.
20 cups ÷ 1 cup/child = 20 children.
Therefore, the jug of milk can serve 20 children if each child receives one cup of milk.
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if every 4 cm on a scale drawing is equal to 6 meters in real life, which lines on the drawing would be greater than 12 meters in real life? select all that apply. a) 6 cm b) 10 cm c) 12 cm d) 16 cm
Option A, B and C lines on the drawing would be greater than 12 meters in real life.
What do you mean by Scale Drawing?A scale drawing is an object that has been enlarged.
By multiplying each length by a scale factor, an expansion alters the size of an object, making it larger or smaller.
A ratio is typically used to describe a drawing's scale.
4cm = 6 meters
so, 1 cm = 6/4 mt = 1.5mt
a) 6cm = 6×1.5 mt = 9mt
b) 10 cm = 10×1.5 mt = 15mt
c) 12 cm = 12×1.5mt = 18mt
d) 16 cm = 16×1.5mt = 24mt
Option A, B and C lines on the drawing would be greater than 12 meters in real life.
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Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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For which equations does the fraction 23
make the equation true? Select all that apply.
Answer:
hope it helped you :))
Step-by-step explanation:
in image
pls help me with this ..
Answer:
1. Volume = 1,323
2. Area = 866.64
Step-by-step explanation:
Volume of Prism = Area of base×height
First find the volume of the rectangular prism:
Volume of Rectangular Prism= w*h*l = (9)(14)(8) = 1,008
w = width = 14
h = height = 8
l = length = 9
Second find the volume of the triangular prism:
Volume of Triangular Prism= 1/2(b*h*l) = 1/2(5*14*9) = 1/2(630) = 315
b = base = 14
h = height = 5
l = length = 9
Now we just add the two volumes together
1,008 + 315 = 1323
Volume = 1,323
Now for the second figure, it is a capsule, to find the total surface area, we use the formula: A = 4πr² + 2πrh
a = 4 × 3.14 × 6² + 2 × 3.14 × 6 × 11
Multiply 4 and 3.14 to get 12.56
a = 12.56 × 6² + 2 × 3.14 × 6 × 11
Calculate 6 to the power of 2 and get 36
a = 12.56 × 36 + 2 × 3.14 × 6 × 11
Multiply 12.56 and 36 to get 452.16
a = 452.16 + 2 × 3.14 × 6 × 11
Multiply 2 and 3.14 to get 6.28
a = 452.16 + 6.28 × 6 × 11
Multiply 6.28 and 6 to get 37.68
a = 452.16 + 37.68 × 11
Multiply 37.68 and 11 to get 414.48
a = 452.16 + 414.48
Add 452.16 and 414.48 to get 866.64
Area = 866.64
Find the amount if ₹ 2,000 is invested for 2 years at 4% p.a. compounded annually.
I hope the above may help you:)
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Please help I uploaded a picture
Answer:
the second one
Step-by-step explanation:
first one is divide
third one is well add
last is add aswell
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x \(\pi\)\(r^{2}\)
From the figure,
θ = 30, and r = 65
Area of sector = \(\frac{30}{360}\) x \(\frac{22}{7}\) x 65 x 65
= 1 1065.55\(m^{2}\)
Area of rectangle = length x width
= 65 x 4
= 260 \(m^{2}\)
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 \(m^{2}\).
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
\(\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}\)
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
\(\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}\)
\(= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2\)
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
\(\rm \text{Area of the rectangle} = Length \times width\)
\(= 5.5 \times 4\\\\= 22\rm\ m^2\)
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
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A businessperson is returning from a trip to China and has 337 54 yuan in their wallet. The most current currency conversion rate is 1 US dollar 6.4651 yuan. How much money will the businessperson have when they convert ther
money to U.S. dollars?
O$52.21
O$331.07
O$344.01
O$2182.23
The required money will the businessperson have when they convert the money to U.S. dollars is 5220.96 dollar.
What is currency system?Commodities and services can be exchanged using money. Currency is defined as a unit of account that is issued by a government and is accepted at face value. When bartering, products and services were directly exchanged for one another.
According to question:We know that
1 US dollar = 6.4651 yuan
To find US dollar value of given yuan
1 yuan = 1/6.4651 US dollar
337 54 yuan = 337 54/6.4651 = 5220.96 dollar
Thus, required dollars are 5220.96.
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Answer:
the answer is 52.21 all u gotta do is divide 337.54 by 6.4651 and u get 52.20955592334225 and just round it and u get the answer which is 52.21
Step-by-step explanation:
please help me with this thankyou
how to find sample size with margin of error on ti 84
The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.
To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:
1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.
2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.
Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.
3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.
4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.
5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.
6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.
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