Answer:
sf = 1/2
Step-by-step explanation:
14 x 1/2 = 7
so the scale factor is 1/2
hope this helps!
Can someone help me, please
Answer:
Letter C
Step-by-step explanation:
Slope = rise/run
slope of AC = 9/6 = \(\frac{3}{2}\)
The slope of DF = 3/2
They are equal. Letter C proves they are equal with the right steps.
Which of the following is true for a circle with a circumference of approximately 100 feet:
A The radius is 16 feet and the area is 804 feet. B The diameter is 16 feet and the area is 804 feet.
C The radius is 16 feet and the area is 804 square feet.
D The diameter is 16 feet and the area is 804 square feet.
Answer:
C. The radius is 16 feet and the area is 804 square feet
Step-by-step explanation:
In A, it doesn't use the correct unit because it is supposed to say 804 feet square. In B, the diameter would be 50 I think, and again it doesn't say feet square for area. In C, the radius is 16 feet and the area is 804 square feet, so that is correct. In D, it says the diameter is 16 feet, but it had the correct area.
Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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The expected variability or standard deviation of the means from many different random samples is known as what quantity?
This declaration is True.
The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.
What is the standard deviation of the sample means also called?The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.
What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?
Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.
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The given question is incomplete, complete question is:
The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter
a boat travels at 3.8m/s east across a river 240 m wide with a current of 1.6 m/s south. how long does it take to get across?
Answer:
The time it takes to get across is 240m divided by 3.8 m/s, which is 63.2 seconds. In that time the current has moved boat downstream by: 1.6 m times 63.2 seconds, or 101.1 meters. Then to get the resultant velocity, you need to add the velocity vectors. Use pythagorean theorem: resultant^2 = 3.8^2 + 1.6^2. The resultant velocity is 4.1 m/s. Does this make sense??
mark brilliant pls
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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NEED HELP ASAPThe sum of two consecutive integers is at least 185.
What is the smaller of the two integers?
n + (n+1) = 185
2n + 1 = 185
2n = 184
n = 92
n is smaller than (n+1), so 92 is smaller, and 93 is the second number.
Ryan put $160 in a bank account. After 2 months, the total in his account decreased by 25%. What is the amount in Ryan's account now?
Answer:
$140
Step-by-step explanation:
Ryan put $160 in a bank account. After 2 months, the total in his account decreased by 25%.
Step 1
We calculate the Decrease
Original amount × Percentage Decrease
Original amount = $160
Percentage Decrease = 25%
Hence:
Decrease = $160 × 25%
= $40
Step 2
The amount in Ryan's account now is calculated as:
$160 - $40
= $140
Which step? I’m sort of confused
The answer is C) Step 3
Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.
The right steps are:
-4/5 / 8/-3
Flip the second part to multiply:
-4/5 * -3/8
Multiply:
12/40
Simplify:
3/10
I hope this helps!
9. What is the symbol for a triangle?
Answer:
A triangle (Δ)
Hope this helps!
Since the area of the rectangle for a uniform probability distribution must equal one, what must the height equal, in general? Choose the correct answer below. range B. range 2. C. range D. More information is needed
The height equal to the given rectangle couldn't be found due to the reason of more information is needed. Therefore the required answer for the question is Option D.
So, the Probability density function is portrayed graphically as a rectangle where (b-a) is the base and 1/(b-a) is the required height.
Probability density function refers to the method that helps to define the random variable's probability within a distinct range of values as opposed to taking one value.
then,
the height of the rectangle for a uniform probability distribution should be 1/(b-a)
The height equal to the given rectangle couldn't be found due to the reason of more information is needed. Thus the correct answer is Option D.
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5. ( 3 points) Assume you are located a BFS for some Linear Programming problem with a minimization objective. If the reduced cost of all non-basic variables is strictly ≥0, does this mean your current BFS is optimal? Please explain your answer. 9. ( 3 points) If you are using the Big M method and you use k artificial variables to find an initial basic feasible solution (BFS), can it ever take more than k pivots before you find a "real" basic feasible solution ("real" meaning a BFS that only includes variables in the original problem)? Please explain your answer.
It is indeed possible for it to take more than k pivots to find a "real" BFS when using the Big M method, where k is the number of artificial variables introduced.
If the reduced cost of all non-basic variables is strictly ≥0, it does not necessarily mean that the current basic feasible solution (BFS) is optimal. The reduced cost of a variable represents the amount by which the objective function value would improve if that variable were included in the current BFS. When the reduced cost is ≥0 for all non-basic variables, it indicates that there is no incentive to include any of those variables in the current BFS as they would not contribute to improving the objective function.
However, it is still possible that the current BFS is not optimal. There could be other feasible solutions that have a lower objective function value, and these solutions might involve changing the current set of basic variables. To determine optimality, additional criteria need to be considered, such as the feasibility of the solution and the optimality conditions of the linear programming problem.
When using the Big M method to find an initial basic feasible solution (BFS), it is possible that it may take more than k pivots to find a "real" basic feasible solution that includes only the variables in the original problem.
The Big M method introduces artificial variables with a large coefficient (M) in the objective function to enforce constraints during the initial phase of solving a linear programming problem. These artificial variables ensure that all constraints are satisfied and provide a starting BFS. However, these artificial variables are not part of the original problem and need to be removed to obtain a "real" BFS.
The number of pivots required to find a "real" BFS depends on the particular problem and the choice of artificial variables. It is possible that additional pivots are needed to eliminate the artificial variables and identify a feasible solution that includes only the original variables.
Therefore, it is indeed possible for it to take more than k pivots to find a "real" BFS when using the Big M method, where k is the number of artificial variables introduced.
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Rebecca needs yards of fabric to make a quilt. she has one piece of fabric that is yards and another piece of fabric that is yards. how many more yards of fabric does rebecca need to make the quilt?
Rebecca needs 6 \( \frac{1}{4} \) more yards of fabric to make the quilt.
Firstly calculating the fabric available to Rebecca = 2 \( \frac{1}{2} \) + 4 \( \frac{1}{4} \)
Fabric available to Rebecca = 5/2 + 17/4
Taking LCM we get 4
Fabric available to Rebecca = 10 + 17/4
Fabric available to Rebecca = 27/4
Let the required fabric be x. So,
17/4 + x = 21/2
x = 21/2 - 17/4
Performing subtraction
Taking LCM we get 4
x = 42 - 17/4
x = 25/4
Converting it back into mixed fraction -
x = 6 \( \frac{1}{4} \)
Thus, the required fabric is 6 \( \frac{1}{4} \) yards.
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The complete question is -
Rebecca needs 10 1/2 yards of fabric to make a quilt. She has one piece of fabric that is 2 1/2 yards and another piece of fabric that is 4 1/4 yards. How many more yards of fabric does Rebecca need to make a quilt.
.
Simplify 1826.00 - 338.12.
Answer:
1487.88
Step-by-step explanation:
Because you have to line the decimals up to make sure you have the correct answer
A polygon has 6 sides. one angle goes inside of the shape. which classifications apply to the polygon? check all that apply. convex concave regular hexagon octagon
The 6 sided polygon is called a hexagon and the polygon is an irregular concave hexagon.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Types of the polygon are as follows;
Convex polygon - In this polygon, all angles are less than 180 degrees. And it may be regular or irregular in shape. The diagonal does not intersect the sides of the polygon.Concave polygon - In this polygon, one angle is greater than 180 degrees. And it is generally irregular in shape. The diagonal intersects the sides of the polygon.The 6 sided polygon is called a hexagon and the polygon is an irregular concave hexagon.
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Answer:
B and DStep-by-step explanation:
A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:24.5
Step-by-step explanation:
a^2+ (25)^2 =35^2
a^2 +625=1225
a^2=600
a=24.494897
a=24.5
8. Katrina's monthly salary is $2400.
She uses of this
money
for rent.
How much rent does Katrina pay?
-?
Answer:
$960
Step-by-step explanation:
if the fraction is 2/5 then divide by 4 then multiply by 2
Answer
If the fraction is 2/5 the percentile is 40 percent assuming that's what you mean, she will end up paying 960 dollars for rent because 960 is 40 percent of 2400.
Step-by-step explanation:
Factor to write an equivalent expression
36a - 16
Answer:
4(9a-4)
Step-by-step explanation:
36a - 16
We can factor 4 from each expression.
4*9a - 4*4
4(9a-4)
Find the total population within a 3-km radius of the city center (located at the origin) assuming a population density of ∂(x, y) = 7000 (x^2 + y^2)^-0.2 people per square kilometer. (Round your answer up to the nearest integer.) ___________ people
The nearest integer 136,043 people. To find the total population within a 3-kilometer radius of the city center, we need to integrate the population density function (∂(x, y)) over the circular region with a radius of 3 kilometers.
Given that the population density (∂) is defined as 7000 (x^2 + y^2)^-0.2 people per square kilometer, we can express the population density as a function of the distance from the origin (r).
Let's perform the integration using polar coordinates, where x = rcos(θ) and y = rsin(θ):
∂(r) = 7000\((r^2)^-0.2\)
∂(r) = 7000\(r^(-0.4)\)
Now, we need to integrate this population density function (∂(r)) over the circular region with a radius of 3 kilometers.
To do this, we integrate from 0 to 2π for the angle (θ), and from 0 to 3 kilometers for the radius (r).
Total population = ∫∫R ∂(r) r dr dθ
Total population = ∫[0 to 2π] ∫[0 to 3] 7000 \(r^(-0.4)\) r dr dθ
Simplifying the integral:
Total population = 7000 ∫[0 to 2π] ∫[0 to 3] \(r^(0.6)\) dr dθ
Total population = 7000 ∫[0 to 2π] [(\(r^(1.6)\))/(1.6)]|[0 to 3] dθ
Total population = 7000 \((1.6)^(-1)\)∫[0 to 2π] [(\(3^(1.6))\)/(1.6)] dθ
Total population = (7000/1.6) \((3^(1.6))\) ∫[0 to 2π] dθ
Total population = (7000/1.6) \((3^(1.6)\)) (θ)|[0 to 2π]
Total population = (7000/1.6) (\(3^(1.6)\)) (2π)
Now, let's evaluate this expression:
Total population ≈ (7000/1.6) (\(3^(1.6)\)) (2π)
Total population ≈ 136042.195 people
Rounding up to the nearest integer, the total population within a 3-km radius of the city center is approximately 136,043 people.
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Need help on this question ASAP Please and thank you
Using the vertex form of a parabola f(x) = a(x - h)2 + k where (h,k) is the vertex of the parabola
The axis of symmetry is y = 0 so h also equals 0
Substitute each point from the parabola into the vertex form:
4 = a(1 - 0)2 + k
4 = a(1) + k
4 = a + k
7 = a(2 - 0)2 + k
7 = a(4) + k
7 = 4a + k
We know have a linear system:
4 = a + k
7 = 4a + k
Subtracting the two equations gives us:
-3 = -3a
a = 1
Substituting the a value into the first equation of the linear system:
4 = 1 + k
k = 3
f(x) = (x - 0)2 + 3
f(1) = 4 = (1 - 0)2 + 3 = 1 + 3
f(2) = 7 = (2 - 0)2 + 3 = 4 + 3
The equation of the parabola through the given points and axis of symmetry is
f(x) = (x - 0)2 + 3 = x2 + 3
What is parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola. A locus of any point which is equidistant from a given point (focus) and a given line (directrix) is called a parabola. Parabola is an important curve of the conic sections of the coordinate geometry.To learn more about Parabola refer to:
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if there are 10080 minutes in a week, how many seconds are in a month
-6p-3=9 what does p equal
Answer:
-2
Explanation:
-6 x -2 = 12
12 - 3 = 9
Answer:
p=-2
Step-by-step explanation:
Move the -3 to the other side by adding 3 on both sides:
-6p-3+3=9+3
The equation now looks like this:
-6p=12
Divide -6 on both sides:
-6p/-6=12/-6
The equation now looks like this:
p=-2 which is the answer
Hope this helps!
The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
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solve this simultaneous equations using the elimination method 2x +1y=10 1x+1y=4
Find the reminder when 2 to the 100th power is divided by 5 explain your work
The remainder when 2 to the 100th power is divided by 5 is 8.
What is the remainder when 2 to the 100th power is divided by 5?The remainder when 2 to the 100th power is divided by 5 is 8. We can achieve the accurate result by using the exponential formula where:
a^mn = a^m(n)
So, applying this here, we will have
2^10 (10)/5
Recall that multiplying 10 by 10 will give us 100. What was done in this case is simply splitting the figures up to make the division simpler. The exponential law was applied here.
Now, 2^10/5
204.8
The remainder as we can see from this result is 8. Thus we arrive at the answer 8.
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The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.
Answer:
30, +11, 11, -1
Step-by-step explanation:
-10 + 30 = 10, 40 - 30= 10
-3 + 11 = 8
5 + (1.5 x 4) = 11
5 - (1.5 x 4) = -1
identify any x intercepts and y intercepts in the graph to the right 1.) a.) the x intercepts is/are ,_ b.) there qre no x intercepts 2.) a.) the y intercepts is /are _ b.) there are no y intercepts
we know that
The x-intercepts are the values of x when the value of y is equal to zero
so
in this problem
x-intercepts are
(-5,0) and (5,0)
the y-intercepts are the values of y when the value of x is equal to zero
in this problem
y-intercept is (0,7)
The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
Answer:
197.92
Step-by-step explanation:
radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)
12² is 144 so 144Pi
9² is 81 (for the inner circle) so 81Pi
144 - 8 is 63Pi which in decimal form is 197.92.
research shows that ethnicity is often a bigger barrier to advancement into top leadership positions than being a woman.
It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.
While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.
It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.
To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.
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7. Write equations that show how these cost variables depend on the
number n of customers for the two-day tours.
a. bike rental B
b. lunch and snacks L
c. hotel rooms H
d. rental of the tour support van V