Line WV is perpendicular to both line RS and line TU.

On a coordinate plane, 3 lines are shown. Line V W goes through (negative 1, 5) and (1, 5). Line R S goes through (negative 5, 3) and (5, 1). Line T U goes through (negative 1, negative 2) and (4, negative 3).

Which statement must be true about line TU?

Line TU is parallel to line RS.
Line TU is perpendicular to line RS.
Line TU has no slope.
Line TU has a slope of –5

Explanation:

The red arrow indicates moving 2 units to the left from 0 as the start point. So the red arrow represents -2.

The blue arrow represents moving 4 more units to the left, so it indicates -4.

Put together, -2-4 = -6 means we first move 2 units to the left, then another 4 units to the left, to arrive at -6 on the number line. This is of course when we start at 0.

Answer:

22 inches

Step-by-step explanation:

Diameter=2×Radius

Radius=11

Diameter=11×2=22

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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No,  (2, 0) is not a solution to the system of equations.

From the given graph it is notice that

f(x)=|x-1| + 1

g(x) = 3x +2

The solution of the graph is the intersection point of both functions. The graph of functions intersects each other if

f(x) = g(x)

The solution to the system of equations is the intersection point of both functions.

From the given graph it is noticed that the graph of both functions intersects each other at (0,2), therefore (0,2) it the solution of the system of equations.

No,  (2, 0) is not a solution to the system of equations.

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Answer:

It is B, I got it right on edman!

Step-by-step explanation:

The correct ways can the roles be assigned is  84 ways.

To find ways can the roles be assigned.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given That:

Total individuals = 9

Available roles = 5

First, it'll be assumed that no two individual shares a role and no single individual takes two roles.

Having said this, the number of ways the roles can be assigned can be calculated using the combination formula  as follows.

ⁿCr = C(n,r)

Where n represents the total individuals

n = 9

r represents the available roles

r = 5

So,

ⁿCr = C(n,r)

⁹C₆ = C(9,6)

⁹C₆= 9!/((9-6)!*6!)

⁹C₆ = 9!/(3!*6!)

⁹C₆ = (9 * 8 * 7 * 6!)/(6! * 3 * 2 * 1)

⁹C₆ = (9 * 8 * 7)/(3 * 2 * 1)

⁹C₆ = 504/6

⁹C₆ = 84

Hence, 9 roles can be assigned to 5 people in 84 ways.

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The missing option is

E. 84

Answer:

hello

how are you?

x=125

y=55

This data demonstrates the diverse caregiving arrangements that exist for children who are unable to live with their parents. The information collected by the U.S. Census Bureau helps in understanding the distribution and dynamics of family structures in the country, shedding light on the various support systems and familial relationships that play a role in caring for children.

The U.S. Census Bureau collects and maintains data on various statistics related to families. In 2010, one of the recorded statistics was the number of children who did not live with their parents. The data indicated that there were three million children in this category.

Out of these three million children, 54% were found to be living with foster parents, their older brother or sister, an aunt or uncle, or their grandparent(s). This information provides insight into the living arrangements of children who were not residing with their biological parents during that time.

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According to the U.S. Census Bureau in 2010, 54% of the three million children who did not live with their parents were living with their grandparent(s).

The U.S. Census Bureau keeps records of various statistics related to families. In 2010, one statistic indicated that there were three million children who did not reside with their parents. Among these children, the Census Bureau found that 54% of them were living with their grandparent(s).

Living arrangements for children can vary greatly, and in this particular case, a significant portion of the children who were not living with their parents were found to be living with their grandparents. This statistic highlights the prevalence of grandparents assuming caretaking roles for their grandchildren, which can occur for various reasons, such as parental absence or inability to provide care. The Census Bureau's data sheds light on the dynamic living arrangements and familial support systems that exist within the population of children who are not residing with their parents.

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Answer:

Sorry bro, Even I need to know this anwer

Step-by-step explanation:

Answer:

The lateral surface area is 510 \(ft^{2}\)

Step-by-step explanation:

The lateral surface area is the area of the "tunnel" part of the triangle

The value of ∠GFH=59°, in the given question.

What do you mean by angle?

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet.

According to the data in the given question,

We have :

∠EFH=127°

∠EFG=(8x-4)°

∠GFH=(5x+14)°

Now, we have to solve the value of ∠GFH,

∠EFG+∠GFH=∠EFH

Putting the values given and solve for x,

(8x-4)°+(5x+14)°=127°

8x°-4°+5x°+14°=127°

13x°+10°=127°

13x°=127°-10°

13x°=117°

x=9

Then, putting the value of x in ∠GFH,

∠GFH=(5x+14)°

=(5(9)+14)°

=(45+14)°

=59°

Therefore, the value of ∠GFH=59°.

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Answer:

\(5x^2 + 10\)

Step-by-step explanation:

\(4x^2 + x^2 = 5x^2\\7x + (-7x = 0\\-4 + 14 = 10\)

The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

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Answer:

11 1/3 miles

Step-by-step explanation:

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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(A) Total number of points served by Samson and multiply by 100  (B) Null hypothesis(H0) and Alternative hypothesis (Ha) (C)  there would be a 24% chance of observing a difference in performance as extreme as the one observed in the data.

(D) Based on the p-value of 0.24, we do not have strong evidence to reject the null hypothesis. (E) it would be a Type II error. (F) Type II error would mean that we concluded there is no difference in Samson's performance when serving and when his opponent is serving, but in reality, there is a difference. (G) To reduce the likelihood of a Type II error occurring, we can increase the sample size (H)  No, we cannot conclude that Samson's serving is the cause of the difference in his ability to win points when serving compared to when his opponent is serving

a) The difference in the percentage of points won when serving and when the opponent is serving can be calculated by subtracting the percentage of points won when the opponent is serving from the percentage of points won when serving.  To find the percentage of points won when serving, we divide the number of points won when serving by the total number of points served by Samson and multiply by 100. Similarly, to find the percentage of points won when the opponent is serving, we divide the number of points won when the opponent is serving by the total number of points served by the opponent and multiply by 100.

b) The hypotheses we are interested in testing are:
- Null hypothesis (H0): There is no difference in Samson's performance when serving and when his opponent is serving.
- Alternative hypothesis (Ha): Samson performs better when serving compared to when his opponent is serving.

c) A p-value of 0.24 indicates that if the null hypothesis were true, there would be a 24% chance of observing a difference in performance as extreme as the one observed in the data. In other words, the p-value represents the probability of obtaining the observed difference in performance or a more extreme difference, assuming that there is no actual difference in Samson's performance when serving.

d) Based on the p-value of 0.24, we do not have strong evidence to reject the null hypothesis. This means that the data does not provide convincing evidence that Samson plays better when serving compared to when his opponent is serving.

e) If our conclusion from part d was in error, it would be a Type II error. This occurs when we fail to reject the null hypothesis even though it is false. In this case, it would mean that there is a difference in Samson's performance when serving, but we failed to detect it.

f) In the context of this question, a Type II error would mean that we concluded there is no difference in Samson's performance when serving and when his opponent is serving, but in reality, there is a difference. This could potentially lead to underestimating Samson's ability to perform better when serving.

g) To reduce the likelihood of a Type II error occurring, we can increase the sample size. By collecting more data, we can increase the power of our test and improve our ability to detect a difference in performance if it truly exists. Additionally, we can also adjust the significance level of our test (e.g., from 0.05 to 0.01) to make it more likely to detect smaller differences.

h) No, we cannot conclude that Samson's serving is the cause of the difference in his ability to win points when serving compared to when his opponent is serving. The data provided only shows an association between serving and winning points, but it does not establish a causal relationship. Other factors, such as skill, strategy, or the opponent's performance, could also contribute to the difference observed. To establish causality, further investigation and controlled experiments would be needed.

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Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

Answer:

(0, -2).

Step-by-step explanation:

CD will be parallel to AB because we have a parallelogram.

Counting squares from A to B it is 'one down and 5 to the right'.

Therefore point D will be 'one up and 5 to the left' from point C.

This makes D  equal to (0, -2).

Answer:

The cost of 3 lessons would be $70, and Marlowe can have 4 lessons without exceeding $100.

Step-by-step explanation:

Number of Lessons & Costs

0- 10

2- 50

4- 90

6.- 130

The equation for this would be y = 20x + 10

To find the price for 3 lessons, plug 3 as x in the equation

y = 20(3) + 10 = 70

The cost for 3 lessons would be $70

20(4) + 10 = 90

20(5) + 10 = 110

5 lessons would be $10 over. With $100, Marlowe will be able to have 10 lessons with $10 left.
P.S., Sorry I can't graph it too, and sorry I didn't respond as  quickly as I would.

It is important for a sampling distribution to be normal (bell-shaped) because the center (mean) and the spread (standard deviation) of the sampling distribution would only be accurate if the distribution is normal.

The sampling distribution represents the distribution of sample statistics, such as the sample mean or sample proportion, obtained from multiple samples of the same size taken from a population. The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

When the sampling distribution is normal, the mean of the sampling distribution is equal to the population mean, and the standard deviation of the sampling distribution, known as the standard error, can be accurately calculated. This allows us to make inferences about the population based on sample statistics.

If the sampling distribution is not normal, the properties and accuracy of estimators and hypothesis tests may be affected. Therefore, it is important for the sampling distribution to be normal in order to ensure the validity of statistical inferences.

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Answer:

The correct answer is 44.687

Step-by-step explanation:

Got it right on Edge assignment

Answer:

it was 44.6878 on my EDGE

Step-by-step explanation:

Answer:

slope trend: - 1/4

y intercept : 85

Hope it Helps!

Step-by-step explanation:

Answer:

a common difference is that they all have threes

Answer:

20 mangos

Step-by-step explanation:

1. Divide $600 by 12. Your answer should be $50. This means that every mango costs $50.

2. You now need to solve the expression: 1000 ÷ 50 which equals 20. This means that with $1000 Jane can buy 20 mangos.

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer:

t = 2

Step-by-step explanation:

5+2t-3=6

2t + 2 = 6

2t = 6 - 2

2t = 4

t = 4/2

t = 2

Answer:

T = 2

Step-by-step explanation:

5 + 2T - 3 = 6

2 + 2T = 6

2T = 4

T = 2

Answer:

1: 5/10, square root of 2, 2.5, square root of 25 3: 4.5

Step-by-step explanation:

2.5

5 divided by 10 comes to 0.5

25 square rooted is 5

2 square rooted is 1.4

the biggest number is 5 and the smallest is 0.5

subtract 0.5 from 5 and you get 4.5

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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Answer: 20m i know it pro

Step-by-step explanation: