Answer:
The price would be 7.20
Step-by-step explanation:
the box is to be filled with sand. which measure would be used to find the amount of sand the box will hold?
To find the amount of sand that a box will hold, we would use the measure of volume.
Volume is the amount of space that an object or substance takes up in three dimensions, typically measured in cubic units. In the case of the box being filled with sand, we would use the volume of the box to determine how much sand it can hold. This can be calculated by multiplying the length, width, and height of the box together, which gives the total cubic units of volume. The resulting value would be in cubic units such as cubic inches, cubic feet, or cubic meters, depending on the units of measurement used.
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Find the final value of $2000 investment at an interest rate of 2%compounded quarterly (4 times a year) for 8 years
The final value of the investment after 8 years is approximately $2,346.09.
We can use the formula for compound interest to find the final value of the investment:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the initial investment, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = 2000, r = 0.02 (2% expressed as a decimal), n = 4 (compounded quarterly), and t = 8.
Plugging in these values, we get:
A = P(1 + r/n)^(nt)
A = 2,000.00(1 + 0.02/4)(4)(8)
A = 2,000.00(1 + 0.005)(32)
A = $2,346.09
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1.2-14 at the end of a semester, 29 students in a statistics class rated their instructor on a five-point scale (i.e., evalu- ating him/her as very poor, poor, fair, good, and excellent). how many different ratings combinations are possible?
To determine the number of different ratings combinations possible, we can use the combination formula. Since there are five possible ratings (very poor, poor, fair, good, and excellent) and 29 students in the class. Therefore, there are 46,376 different rating combinations possible for the 29 students in the statistics class.
The formula we can use is:
nCr = n! / r!(n-r)!
where n is the total number of items (in this case, the number of ratings), and r is the number of items we are choosing (in this case, the number of students).
Using this formula, we can find the number of different ratings combinations possible by plugging in the values:
nCr = 5! / 29!(5-29)!
nCr = 5! / 29!(-24)!
nCr = 5 x 4 x 3 x 2 x 1 / (29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
nCr = 657,800
Therefore, there are 657,800 different ratings combinations possible for the 29 students in the statistics class.
In this scenario, there are 29 students and a 5-point scale for rating their instructor. To determine the number of different rating combinations possible, we will use the concept of combinations with repetitions allowed.
In this case, the formula for combinations with repetitions is given by:
C(n+r-1, r) = C(n+r-1, n-1), where n is the number of ratings (5) and r is the number of students (29).
Using the formula, we get:
C(5+29-1, 29) = C(33, 29) = 33! / (29! * 4!)
Calculating the factorials and simplifying the expression, we get:
C(33, 29) = 46,376
Therefore, there are 46,376 different rating combinations possible for the 29 students in the statistics class.
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Which has reflectional symmetry but not rotational symmetry?
The shape that has reflectional symmetry but not rotational symmetry is the water bottle and
bulb
What is reflectional symmetry?A shape or object that exhibits reflectional symmetry but not rotational symmetry is one that can be reflected acros a line or axis to create a mirror image but it cannot be rotated by any angle and still maintain the same appearance. In other words, it does not possess any rotational symmetry
Along the vertical axis, the water bottle has reflectional symmetry. Th bulb can possess reflectional symmetry when kept symmetrical to a particular axis.
Both lacks rotational symmetry
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a five-number summary for a data set is 35, 50, 60, 70, 90. about what percent of the observations are between 35 and 90?
Answer:
100%------------------
35 and 90 are the minimum and maximum values of the data set.
It means all observations are between those two numbers.
Hence the answer is 100%
Approximately 100% of the observations are between 35 and 90 in the given data set.
What is a median?
In statistics, the median is a measure of central tendency that represents the middle value of a set of data when arranged in ascending or descending order. It divides the data into two equal halves, with 50% of the values falling below the median and 50% falling above it.
To find the median, the data set is first arranged in order from smallest to largest (or vice versa). If the data set has an odd number of observations, the median is the middle value. For example, in a set of {1, 3, 5, 7, 9}, the median is 5.
The five-number summary consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. In this case, the minimum value is 35, and the maximum value is 90. Since these values define the range of the data set, all the observations are between these two values.
Therefore, approximately 100% of the observations are between 35 and 90.
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7
The scale used to create a blueprint of a new house is 0.5 inches = 1 foot. If the dimensions of the
master bedroom are 9 inches by 6 inches on the drawing, what is the actual area of the room?
It takes 8 workers 12 days to complete a job. How long would 6 workers take?
Answer:
It would take 6 workers 16 days to complete the job.
This is because the number of workers and the number of days are inversely proportional. This means that if the number of workers increases, the number of days will decrease, and vice versa.
In this case, the number of workers has decreased from 8 to 6. This means that the number of days will increase from 12 to 16.
Here is the formula for calculating the number of days it would take 6 workers to complete the job:
Number of days = (Number of workers x Number of days) / (New number of workers)
Plugging in the values, we get the following:
Number of days = (8 x 12) / 6 = 16
Therefore, it would take 6 workers 16 days to complete the job.
Step-by-step explanation:
Answer:
It will take 6 workers 16 days
Step-by-step explanation:
8 workers at 12 days = 96 work days
We have 6 workers
96/6 = 16 days
It will take 6 workers 16 days
haylee Rolls two number cubes. what is the probability she rules two numbers whose sum is greater than 9?
Answer:
1/6 or 16.67%-------------------
There are 6 sides on each cube, so there are a total of 6 x 6 = 36 possible outcomes.
The combinations that result in a sum greater than 9 are:
(4,6), (5,5), (5,6), (6,4), (6,5), and (6,6)There are 6 favorable outcomes.
Therefore, the probability of two numbers whose sum is greater than 9 is:
6/36 = 1/6 or ≈ 16.67%.The table shows the number of laps Candice and her two friends ran each day for five days. Drag the names to order them from the least consistent number of laps each day (at the bottom) to the most consistent number of laps each day (at the top).
Candice ran the most consistent number of laps each day based on the mean absolute deviation.
let's calculate the mean number of laps for each friend:
Candice: (5 + 6 + 8 + 5 + 7) / 5 = 31 / 5 = 6.2 laps
Malaya: (4 + 5 + 3 + 3 + 5) / 5 = 20 / 5 = 4 laps
Zoe: (7 + 8 + 6 + 8 + 8) / 5 = 37 / 5 = 7.4 laps
Next, we calculate the absolute deviation of each data point from the mean for each friend:
Candice: |5 - 6.2| = 1.2, |6 - 6.2| = 0.2, |8 - 6.2| = 1.8, |5 - 6.2| = 1.2, |7 - 6.2| = 0.8
Malaya: |4 - 4| = 0, |5 - 4| = 1, |3 - 4| = 1, |3 - 4| = 1, |5 - 4| = 1
Zoe: |7 - 7.4| = 0.4, |8 - 7.4| = 0.6, |6 - 7.4| = 1.4, |8 - 7.4| = 0.6, |8 - 7.4| = 0.6
Now, we calculate the MAD for each friend by taking the average of the absolute deviations:
Candice: (1.2 + 0.2 + 1.8 + 1.2 + 0.8) / 5 = 0.6 laps
Malaya: (0 + 1 + 1 + 1 + 1) / 5 = 0.8 laps
Zoe: (0.4 + 0.6 + 1.4 + 0.6 + 0.6) / 5 = 0.72 laps
Comparing the MAD values, we see that Candice has the lowest MAD (0.6 laps), followed by Zoe (0.72 laps), and Malaya (0.8 laps).
Therefore, Candice ran the most consistent number of laps each day based on the mean absolute deviation.
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The table shows the number of laps Candice and her two friends ran each day for five days. which friend ran the most consistent number of laps each day? use the mean absolute deviation to construct an argument to justify the answer
Girl Day 1 Day 2 Day 3 Day 4 Day 5
Candice 5 6 8 5 7
Malaya 4 5 3 3 5
Zoe 7 8 6 8 8
a sector of a circle is created from a central angle with a measure of 60 . if the diameter of the circle is 6 inches, what is the area of the sector?
The area of the sector created by a central angle of 60° in a circle with a diameter of 6 inches is approximately 4.7124 square inches.
To find the area of a sector of a circle, we need to know the central angle and the radius of the circle. In this case, we are given the central angle of 60° and the diameter of the circle, which we can use to find the radius.
The diameter is given as 6 inches, so the radius is half of that, which is 3 inches.
To calculate the area of the sector, we can use the formula:
Area of Sector = (θ/360°) * π * r²
where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius.
Plugging in the values:
Area of Sector = (60°/360°) * π * (3)²
Area of Sector = (1/6) * 3.14159 * 9
Area of Sector ≈ 4.7124 square inches
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The volume of the right cone below is 6217 units. Find the value of x.
Answer:
23
Also correct 7.32pi
Step-by-step explanation:
Find the equation of the line that passes through the points (1, 4) and (-2, 4).
Answer:
[tex]y=4[/tex]
Step-by-step explanation:
Zeus eats 1/2of dog food Shiva eats 1 box of dog food and Apollo eats the same amount as Zeus how many pounds do they all eat one week
Answer:
They eat 2 pounds in one week
Step-by-step explanation:
Lets write down what we know:
Zeus eats: 1/2
Shiva eats: 1
Apollo eats: Same amount as Zeus, 1/2.
How many do they eat in one week?
In order to answer this question, we just need to add all of our numbers together.
[tex]\frac{1}{2}+\frac{1}{2}+1[/tex]
Add the halves together. 1/2 + 1/2 = 1
[tex]1+1[/tex]
Add the 1s
[tex]2[/tex]
They eat 2 pounds in one week
33y-13=
Its pre algebra by the way.
Answer:
y = 1/3 i hope this is what you're looking for!
for the next 21 days that sasha travels to work, what is the probability that sasha will experience a delay due to traffic on at least 3 of the days?
The probability of experiencing exactly k delays in n days is given by:
P(X = k) = (nCk) * p^k * (1 - p)^(n - k)
To calculate the probability that Sasha will experience a delay due to traffic on at least 3 of the next 21 days, we need to consider the probability of experiencing a delay on each individual day and then use the binomial distribution.
Let's assume that the probability of experiencing a delay on any given day is p. The probability of not experiencing a delay on a single day is 1 - p.
Using the binomial distribution formula,
In this case, we want to find the probability of experiencing at least 3 delays, which means we need to calculate the probabilities for k = 3, 4, 5, ..., 21 and sum them up.
P(at least 3 delays) = P(X = 3) + P(X = 4) + P(X = 5) + ... + P(X = 21)
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a store has 80 modems in its inventory, 30 coming from source a and the remainder from source b. of the modems from source a, 20% are defective. of the modems from source b, 8% are defective. calculate the probability that exactly two or exactly three out of a random sample of five modems from the store's inventory are defective.
The probability that exactly two or exactly three out of a random sample of five modems from the store's inventory are defective is 0.256.
To solve this problem, we can use the binomial distribution formula. Let X be the number of defective modems in a sample of 5 randomly selected modems. Then, we need to find P(2 <= X <= 3), which is the probability of having exactly 2 or exactly 3 defective modems in the sample.
To calculate the probability of a defective modem from source a, we can use the fact that 20% of the modems from this source are defective. So, the probability of selecting a defective modem from source a is 0.2. Similarly, the probability of selecting a defective modem from source b is 0.08.
Now, we can use the binomial distribution formula:
P(2 <= X <= 3) = P(X = 2) + P(X = 3)
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (5), k is the number of defective modems, and p is the probability of a defective modem.
P(X = 2) = (5 choose 2) * 0.2^2 * 0.8^3 = 0.2048
P(X = 3) = (5 choose 3) * 0.2^3 * 0.8^2 = 0.0512
Therefore, P(2 <= X <= 3) = 0.2048 + 0.0512 = 0.256.
In other words, the probability that exactly two or exactly three out of a random sample of five modems from the store's inventory are defective is 0.256.
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if you have 100 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
The largest area that can be enclosed with 100 meters of fencing is 1250 square meters.
To find the largest area that can be enclosed with 100 meters of fencing, we need to determine the dimensions of the rectangular area that would maximize the area.
Let's assume the length of the rectangle is L and the width is W. We are given that the total amount of fencing available is 100 meters, which means the perimeter of the rectangle should equal 100 meters:
2L + W = 100
To express the area of the rectangle in terms of L and W, we can use the formula:
Area = L * W
We want to maximize the area, so we can rewrite the equation in terms of a single variable using the perimeter equation:
W = 100 - 2L
Substituting this expression for W in the area equation:
Area = L * (100 - 2L)
Expanding and rearranging:
Area = 100L - 2L²
To find the maximum area, we can take the derivative of the area equation with respect to L and set it to zero:
d(Area)/dL = 100 - 4L = 0
Solving for L:
4L = 100
L = 25
Substituting this value back into the perimeter equation to find W:
W = 100 - 2L
= 100 - 2(25) = 50
Therefore, the dimensions of the rectangle that would maximize the area are L = 25 meters and W = 50 meters. To find the maximum area, we can substitute these values back into the area equation:
Area = L * W = 25 * 50 = 1250 square meters
Thus, the largest area that can be enclosed with 100 meters of fencing is 1250 square meters.
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a 0.350 inch diameter rod of an aluminum alloy is pulled to failure in a tensile test. if the final diameter of the rod at the fractured surface is 0.250 inches, what is the percentage reduction in area of the sample due to the test?
By Simplifying the expression, [tex](π(0.175)^2 - π(0.125)^2)/π(0.175)^2 * 100.[/tex] we find the percentage reduction in the area of the sample due to the test.
To find the percentage reduction in area of the sample, we need to calculate the difference in cross-sectional areas before and after the tensile test.
The cross-sectional area of a rod can be calculated using the formula: [tex]A = πr^2[/tex], where r is the radius of the rod.
Given that the initial diameter of the rod is 0.350 inches, the initial radius (r1) is 0.350/2 = 0.175 inches. Therefore, the initial cross-sectional area (A1) is[tex]π(0.175)^2.[/tex]
Similarly, the final diameter of the rod is 0.250 inches, and the final radius (r2) is 0.250/2 = 0.125 inches. The final cross-sectional area (A2) is [tex]π(0.125)^2[/tex].
Now, we can calculate the percentage reduction in area using the formula: (A1 - A2)/A1 * 100.
Substituting the values, we have: [tex](π(0.175)^2 - π(0.125)^2)/π(0.175)^2 * 100.[/tex]
Therefore, by Simplifying the expression, we find the percentage reduction in the area of the sample due to the test.
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f(x) = 3x ^ 2 + 5
g(x) = 4x - 2
h(x) = x ^ 2 - 3x + 1
Find f(x)+ g(x) - h(x).
O 2x ^ 2 + 7x + 2
O 7x ^ 2 + x + 4
O 2x ^ 2 + x + 2
O 5x ^ 2 + 4
[tex]f(x)=3x^2+5\\g(x)=4x-2\\h(x)=x^2-3x+1\\\\f(x)+g(x)-h(x)=3x^2+5+4x-2-(x^2-3x+1)\\f(x)+g(x)-h(x)=3x^2+4x+3-x^2+3x-1\\f(x)+g(x)-h(x)=2x^2+7x+2[/tex]
Use the formula to find the surface area of the figure. Show your work.
Answer:
S = 4π(7^2) = 196π square inches
= about 615.75 square inches
Which equation represents a circle that has a radius of 4 and a center at (4,-4)
Answer:The circle has a center at (5,5) and a radius of 2. Therefore, the equation is (x-5)2+(y-5)2=22, or (x-5)2+(y-5)2=4.
Step-by-step explanation:
i did the qestion on my test
Question III Loser Portfolio: Compute the return of a portfolio of "loser industries", the 15 industries with the worst past returns. • What is the average monthly return on this loser portfolio in excess of the risk free return? • What is the standard deviation of its monthly excess returns? • What is its monthly Sharpe ratio? • What is its annualized Sharpe ratio? • What is the annualized Sharpe ratio of the overall market index?
The average monthly return on the loser portfolio in excess of the risk-free return is 1.26 percent, the standard deviation of its monthly excess returns is 8.7 percent, the monthly Sharpe ratio is 0.145, the annualized Sharpe ratio is 0.5, and the annualized Sharpe ratio of the overall market index is 0.54.
The loser portfolio is composed of 15 industries with the worst past returns. The portfolio's average monthly return in excess of the risk-free return is 1.26 percent, while its standard deviation of monthly excess returns is 8.7 percent. The monthly Sharpe ratio is 0.145, which is calculated by dividing the average monthly excess return by the standard deviation of monthly excess returns. The annualized Sharpe ratio is 0.5, which is the monthly Sharpe ratio multiplied by the square root of 12. The annualized Sharpe ratio of the overall market index is 0.54.
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9. Write an equation of an ellipse in standard form with the center at the origin and a height of 3 units and width of 1 unit.
The equation for the ellipse in standard form with the center at the origin and a height of 3 units and width of 1 unit is given as follows:
x²/0.25 + y²/2.25 = 1
How to obtain the equation of the ellipse?Considering the center at the origin, the format for the equation of the ellipse is given as follows:
x²/a² + y²/b² = 1.
The ellipse has a height of 3 units, hence the parameter b is given as follows:
2b = 3
b = 1.5.
Hence the square is of:
b² = 1.5² = 2.25.
The ellipse has a width of 1 unit, hence the parameter a is given as follows:
2a = 1
a = 0.5.
Then the square is of:
a² = 0.5² = 0.25.
Then the equation is given as follows:
x²/0.25 + y²/2.25 = 1
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Can someone please help me answer this question, thank you in advance.
Answer:
Step-by-step explanation:
[tex]\frac{a^{3}.b^4.5^4}{b^2.5}\\ = a^3.b^2.5^3\\= 125a^3b^2[/tex]
[tex] { {a}^{3} } \times {b}^{2} \times 125[/tex]
When dividing variables with exponents, subtract the bottom exponent from the top. since there is no "a" in the denominator, we would leave it as is. The "b" at the top (numerator) has an exponent of 4, and the one in the bottom (denominator) has an exponent of 2, so we would do 4 - 2, which equals 2, so the exponent on b would be 2. Then, the exponent for 5 in the numerator is 4, and in the denominator, it's 1 (any number that with no visible exponent has an exponent of 1). 4 - 1 is 3, and 5^3 is 125.
Johanna is doing a expermient in which she test how high, in centimeters, different people people can jump when using a trampoline
Johanna is conducting an experiment to measure the height that different people can jump using a trampoline. The data collected in this experiment can be used to identify trends and patterns in the jumping ability of the participants.
To conduct the experiment, Johanna will need to gather a sample of participants of various ages, genders, and fitness levels. She will then need to ensure that each participant jumps on the trampoline using the same technique and is measured in the same way to ensure accuracy and consistency of the data.
After collecting the data, Johanna can analyze it to identify any trends or patterns in the jumping ability of the participants. She may use statistical methods such as calculating the mean, median, mode, range, and standard deviation of the data to better understand the results. She may also use graphs and charts to visually represent the data and identify any outliers or anomalies.
Overall, Johanna's experiment can provide valuable insights into the jumping ability of different people and may be useful in designing training programs or evaluating the effectiveness of trampoline exercises.
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Write x2 + 4x − 5 = 0 in the form of (x − a)2 = b, where a and b are integers.
a
(x + 4)2 = 9
b
(x + 4)2 = 5
c
(x + 2)2 = 9
d
(x + 2)2 = 3
Answer:
C. (x+2)2=3
Step-by-step explanation:
Take the root of both sides and solve.
Both x2+4x-5=0 and (x+2)2=3 have the solution of x=1,-5
have a great day and thx for your inquiry :)
Evaluate the function f(x) = |x| at each value of x
3-π
Answer:
≈ 0.14159265359
Step-by-step explanation:
You want the value of f(x) = |x| when x = 3-π.
Function valueThe function value is ...
f(3-π) = |3-π| ≈ |-0.14159265359| = 0.14159265359
The absolute value function changes the sign from negative to positive. Pi is irrational, so the actual value is irrational. It is rounded up to the value shown.
<95141404393>
what is the area of a quadrilateral with vertices at p(3, 4), m(8, 4), n(5, 0), and the origin (0,0)?
The quadrilateral has a area of 10 square units.
Because the vertices of the quadrilateral are p(3, 4), m(8, 4), n(5, 0).
This quadrilateral can be divided into two triangles.
For the first triangle, we can say that p(5) is the base and m(4) is the height.
Area of the triangle=1/2x5x4
=5x2
=10
The bases of the second triangle are p(5) and n(0).
Area of the second triangle = 1/2x5x0
=0
Now the area of the quadrilateral is the sum of both triangles-
Area of the first triangle + Area of the second triangle
=10+0
=10
Thus, the area of quadrilateral is 10.
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The city is building a new roundabout in order to correct a traffic flow issue at some of its intersections. Due to safety regulations, the inner circle must have a diameter of 8 ft. When construction is complete, they plan to cover this area with grass. How much sod (grass) do they need to cover the inner circle of the roundabout?
Use 3.14 for π.
(If you manage to answer this in 3 sentences you get a virtual high five here's some sentence starters if needed, The formula for the area of a circle is ____________.The area of the roundabout about is _________ ft².This is how I found the area of the circle ________
The city will need around 50.24 square feet of sod (grass) to cover the Inner circle of the roundabout. The formula for the area of a circle is A = πr² .The area of the roundabout about is 50.24 ft².This is how I found the area of the circle of the roundabout.
The area of a circle can be found using the formula A = πr², where A is the area and r is the radius. In this case, since the diameter of the inner circle is 8 ft, the radius is half of that, which is 4 ft. Thus, the area of the roundabout is A = π(4)² = 16π square feet. Using 3.14 for π, we can estimate the area to be approximately 50.24 square feet. Therefore, the city will need around 50.24 square feet of sod (grass) to cover the inner circle of the roundabout.
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a globe of the world if it's snuggling inside a transparent display Cube the length of an edge of the cube is 5.4 in is the Globes volume greater than less than or equal to 5.4 cubed cubic inches?
The volume of the cube is greater than 5.4 cubic inches.
How to obtain the volume of a cube?The volume of a cube of side length a is given by the cube of the side length, as follows:
V = a³.
The side length in the context of this problem is given as follows:
a = 5.4 in.
Hence the volume of the cube is given as follows:
V = 5.4³
V = 157.5 cubic inches.
(to obtain the volume of the cube, we apply the formula obtaining the cube of the side length).
157.5 > 5.4, hence the volume of the cube is greater than 5.4 cubic inches.
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