you volunteer to help build a new sandbox at the town playground. You have two boards that will make up two sides of the triangular sandbox. One is 5 feet long and the other is 8 feet long. Boards come in lengths shown. Which boards can you use for the third side of the sandbox? Explain.
Answers
15ft
12ft
8ft
5ft
2ft

The line parallel to y = -x has the same slope, which is -1, because parallel lines have the same slope.

So you plug 5 and 5.5 into the equation y = -x + b.

5.5 = -5 + b

Add 5 to both sides.

10.5 = b

So, y = -x + 10.5

To find the inverse transforms using the t-shifting theorem, we apply the following formula: if the Laplace transform of a function f(t) is F(s), then the inverse transform of F(s - a) is e^(a*t)f(t). Using this theorem, we can determine the inverse transforms of the given expressions.

For the expression e^(-3s)/(s-1)^3, we can rewrite it as e^(-3(s-1))/(s-1)^3. Applying the t-shifting theorem with a = 1, we have the inverse transform as e^t(t^2)/2.

The expression -πs/(s^6(1 - e^(-2√9))) can be rewritten as -πs/(s^6(1 - e^(-6))). Applying the t-shifting theorem with a = 6, we obtain the inverse transform as -πe^(6t)t^5/120.

For the expression 4(e^(-2s) - 2e^(-5s))/s, we can simplify it to 4(e^(-2(s-0)) - 2e^(-5(s-0)))/s. Applying the t-shifting theorem with a = 0, we get the inverse transform as 4(e^(-2t) - 2e^(-5t))/s.

The expression e^(-3s)/s^4 remains unchanged. Applying the t-shifting theorem with a = 3, we obtain the inverse transform as te^(-3t).

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Solution : 24 × [20 + (5 × 3)] ÷ 8

So, first let's solve the integers within perenthesis

Now, we need to divide it first after which we'll multiply the rest

The answer should be 105

Answer:

No solution

Step-by-step explanation:

We can easily tell that there are no solutions by using the discriminant rule.

The discriminant rule comes directly from the discriminant of the quadratic equation and is b^2-4ac

It can tell us three things about the solution:

When the discriminant is less than 0, there is no solution.

When the discriminant equals 0, there is one distinct solution.

When the discriminant is greater than 0, there are two distinct solutions

In the problem a = 1, b = 6, c = 10.

Plugging in what we have gives us 6^2*4(1)(10) = -4.

-4<0 so there are no real solutions.

what happend to u other acc?

Step-by-step explanation:

Answer:

2.4077461e+20

Step-by-step explanation:

thats what goolge calcualtior said. Plz mark me the brainlist

The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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There are variations in the participation prices of boys and girls across unique sports, with boys having decreased representation in varsity soccer, better representation in freshman basketball, and identical illustration in varsity tennis compared to ladies.

Based on the given statements:

The percentage of boys who play varsity soccer is much less than the share of ladies who play varsity football.

The share of boys who play freshman basketball is extra than the share of girls who play freshman basketball.

The percentage of boys who play varsity tennis is the same as the variety of women who play varsity tennis.

We can finish subsequent:

Boys have a lower representation in varsity football as compared to ladies.

Boys have a higher representation in freshman basketball in comparison to ladies.

The percentage of boys playing varsity tennis is identical to the proportion of women playing varsity tennis.

These statements suggest differences in participation fees and proportions between boys and women in unique sports activities.

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The correct question is:

"The percentage of boys who play varsity soccer is ✔ less than the percentage of girls who play varsity soccer. the proportion of boys who play freshman b-ball is ✔ greater than the proportion of girls who play freshman b-ball. the percentage of boys who play varsity tennis is ✔ the same as the number of girls who play varsity tennis.

What can you conclude from the above statements?"

Answer: \((x-10)^{2}+(y+3)^{2}=16\)

Step-by-step explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is \((x-10)^{2}+(y+3)^{2}=16\).

(a) The probability that the other person is shorter than x is = 1/2

(b) The probability that the first person chosen is shorter than x is 1/2.

(a) If we know that at least one person is taller than x, then there are two cases to consider:

The first person chosen is taller than x:

In this case, the probability of the second person being shorter than x is 1/2.

The second person chosen is taller than x:

In this case, the probability of the first person being taller than x is 1/2.

The total probability that at least one person is taller than x and the other person is shorter than x is the sum of these two cases:

P = (1/2) * (1/2) + (1/2) * (1/2)

= 1/2

(b) If we know that the person chosen second is taller than x, then the only possibility is that the first person chosen is shorter than x.

The probability of this happening is 1/2.

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The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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Answer:

d

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent.

The side corresponding to WV is DC

Δ XWV ≡ Δ EDC , thus

WV ≡ DC → d

Answer:

can you put a better pic

Step-by-step explanation:

In equation (2-1), we can rewrite it as Y = bx + a, where Y = 1/y. Thus, a = A/Y and b = B/C. In the given table, we substitute the values of x and calculate the corresponding values of Y = 1/y. We then perform linear regression analysis to find the equation of the regression line in the form Y = bx + a. The obtained values of a and b correspond to A/Y and B/C, respectively. To determine the specific values of A and B when C = 2, we substitute the obtained values of a and b into the regression equation and solve for A and B.

(i) To rewrite equation (2-1) in the form of Y = bx + a, we need to express y in terms of Y. Given that Y = 1/y, we can rewrite equation (2-1) as:

Y = C/(Bx) + A

Taking the reciprocal of both sides, we have:

1/Y = Bx/C + A/Y

Comparing this with the form Y = bx + a, we can identify that a = A/Y and b = B/C.

Therefore, a = A/Y and b = B/C.

(ii) To prepare a table of x against Y = 1/y, we substitute the given values of x into the equation Y = 1/y and calculate the corresponding values of Y.

Table Q.2:

Years of experience x | Y = 1/y

0                     | 1/2.4

0.5                  | 1/2.2

1                      | 1/2.04

2                      | 1/1.75

4                      | 1/1.35

(iii) To find the regression line Y against x in the form Y = bx + a, we can use the given data in the table obtained in part (ii). We perform linear regression to determine the values of a and b.

Using regression analysis, we can find the equation of the regression line in the form Y = bx + a. The values of a and b obtained from the regression analysis correspond to the values of A and B, respectively.

By fitting the data in the table, the regression analysis will provide the specific values of a and b. Since C = 2 is given, we can substitute the obtained values of a and b into the regression equation to find the values of A and B.

Please note that the specific calculations for the regression analysis are not provided in the question, but they involve statistical methods such as least squares regression to determine the best-fit line.

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Answer:Answer:

The value of f(6) is, 18

Step-by-step explanation:

Given the function:

              .....[1]

We have to find the value of.

Put x = 6 in [1] we have;

⇒

⇒

Simplify:

Therefore, the value of f(6) is, 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

we fill in where x is and make it 6

And I will use pemdas

f(6)=6^2÷3+6

f(6)=36÷3+6

f(6)=12+6

f(6)=18

Hopes this helps please mark brainliest

Answer:

x=0

Step-by-step explanation:

5-9+3x = -10+6

-4+3x = -4

+4 .       +4 (Both sides)

3x = 0

/3    /3 . (divide both sides by 3)

x=0

Answer:

I think it's A and C

Step-by-step explanation:

I could be wrong though

Answer:

c

Step-by-step explanation:

if not sorry

The 90% confidence interval obtained from examining 653 customers in one fast food chain's drive-through has a lower bound of 178.2 seconds and an upper bound of 181.6 seconds. This means that based on the sample data collected from the 653 customers, we can be 90% confident that the true average drive-through service time for this fast food chain falls within the range of 178.2 seconds to 181.6 seconds.

In other words, if we were to repeatedly sample 653 customers from the same fast food chain's drive-through and calculate confidence intervals, approximately 90% of those intervals would contain the true average service time of the entire population of customers.

The range between the lower and upper bounds of the confidence interval provides an estimate of the precision or uncertainty associated with our sample mean.

The narrower the interval, the more precise our estimate of the true population mean becomes. In this case, the interval is relatively narrow, indicating a relatively precise estimate of the average drive-through service time for this fast food chain based on the sample data.

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Answer:

Step-by-step explanation:

1st row = 10seats

20th row = 48 seats

Total = (10+48) / 2 * 20 = 29 * 20 = 580 seats

The queue is utilization. During the next week, average flow time (W) will  B. not stable, grow.

In the given scenario, the arrival rate of customers to the bank branch follows a mean of 4 minutes and a standard deviation of 4 minutes. The teller's service time follows a mean of 3 minutes and a standard deviation of 3 minutes.

When the bank teller leaves and is replaced by the manager, who has an average service time twice that of the teller, the new average service time becomes 6 minutes.

To analyze the queue and determine its stability, we need to calculate the utilization, which is the ratio of the average service time to the average inter-arrival time.

Utilization (ρ) = (average service time) / (average inter-arrival time)

For the teller:

Average inter-arrival time = 4 minutes

Average service time = 3 minutes

Utilization (ρ) = 3 / 4 = 0.75

For the manager:

Average inter-arrival time remains the same: 4 minutes

Average service time = 6 minutes

Utilization (ρ) = 6 / 4 = 1.5

In queueing theory, a stable queue exists when the utilization (ρ) is less than 1. Therefore, the queue with the teller (ρ = 0.75) is stable. However, the queue with the manager (ρ = 1.5) is not stable.

During the next week, the average flow time (W) is expected to increase because the manager's longer service time will result in longer waiting times and overall slower service for customers. Therefore, the answer is B. not stable, grow.

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a) The two types of parallel lines in hyperbolic geometry are ultra-parallel lines and limit-parallel lines.

b) The angle opposite the common base in a Saccheri quadrilateral is a right angle, while the other two angles are congruent.

c) The formula for the area of a convex hyperbolic polygon is A = E/K, where A is the area, E is the excess of angles, and K is the curvature.

a) In hyperbolic geometry, there are two types of parallel lines: ultra-parallel lines and limit-parallel lines.

Ultra-parallel lines are lines that do not intersect and are always equidistant from each other. They have no common perpendiculars and provide an example of "diverging" parallel lines in hyperbolic geometry.

Limit-parallel lines, on the other hand, are lines that do not intersect and approach a common limit point on the hyperbolic plane. They are considered "converging" parallel lines in hyperbolic geometry.

b) In a Saccheri quadrilateral, the interesting aspect is that the angle opposite the common base is a right angle, and the other two angles are congruent. This characteristic makes the Saccheri quadrilateral a key tool in proving the consistency of hyperbolic geometry and understanding its properties.

c) The formula for calculating the area of a convex hyperbolic polygon is given by the Gauss-Bonnet theorem. It states that the area (A) of a convex hyperbolic polygon is equal to the excess of its angles (E) multiplied by a constant called the curvature (K):

A = E/K

Here, the excess of angles is the sum of the interior angles of the polygon minus (n-2)π, where n is the number of sides of the polygon. The curvature depends on the specific geometry being considered (e.g., positive for spherical geometry, negative for hyperbolic geometry).

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Answer:

40 yard

Step-by-step explanation:

Answer:

120 feet

Step-by-step explanation:

8 yards in 2 seconds.

so we need to change the unit of yards into feet bcz all units should be same

now 1 yard=3 feet therefore 8 yards=24 feet

if he runs in 2 seconds =24 feet

   he runs in 1 second =24/2 feet=12 feet

   he runs in 10 seconds=12*10=120 feet

hope it will help.

Answer:

the first one in your life with my name in your company is in fact the

The area under the graph of f(x) = x^2 + 3x + 1 over the interval [0, 4] using four approximation rectangles and right endpoints is R_4 = 64, and using left endpoints is L_4 = 36.

We have,

We can estimate the area under the graph of f(x) = x^2 + 3x + 1 over the interval [0, 4] using four approximation rectangles and right endpoints as follows:

The width of each rectangle is Δx = (4-0)/4 = 1.

Using the right endpoints, the heights of the rectangles are:

f(1) = 1^2 + 3(1) + 1 = 5

f(2) = 2^2 + 3(2) + 1 = 11

f(3) = 3^2 + 3(3) + 1 = 19

f(4) = 4^2 + 3(4) + 1 = 29

The area of each rectangle is then:

A_1 = f(1)Δx = 5(1) = 5

A_2 = f(2)Δx = 11(1) = 11

A_3 = f(3)Δx = 19(1) = 19

A_4 = f(4)Δx = 29(1) = 29

The total area estimate using the right endpoints.

R_4 = A_1 + A_2 + A_3 + A_4 = 5 + 11 + 19 + 29 = 64

Now, let's repeat the approximation using left endpoints:

The heights of the rectangles are:

f(0) = 0^2 + 3(0) + 1 = 1

f(1) = 1^2 + 3(1) + 1 = 5

f(2) = 2^2 + 3(2) + 1 = 11

f(3) = 3^2 + 3(3) + 1 = 19

The area of each rectangle is then:

A_1 = f(0)Δx = 1(1) = 1

A_2 = f(1)Δx = 5(1) = 5

A_3 = f(2)Δx = 11(1) = 11

A_4 = f(3)Δx = 19(1) = 19

The total area estimate using left endpoints is:

L_4 = A_1 + A_2 + A_3 + A_4 = 1 + 5 + 11 + 19 = 36

Therefore,

The estimate of the area under the graph of f(x) = x^2 + 3x + 1 over the interval [0, 4] using four approximation rectangles and right endpoints is R_4 = 64, and using left endpoints is L_4 = 36.

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Answer:

2

Step-by-step explanation:

Answer:

=> (5200 X 9)/5.5=8509

Step-by-step explanation:

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

\(Q_1=\dfrac{11+13}{2}\)

\(Q_1=\dfrac{24}{2}\)

\(Q_1=12\)

And

\(Q_3=\dfrac{16+16}{2}\)

\(Q_3=\dfrac{32}{2}\)

\(Q_3=16\)

The interquartile range is:

\(IQR=Q_3-Q_1\)

\(IQR=16-12\)

\(IQR=4\)

The data values lies outside the interval \([Q_1-1.5IQR,Q_3+1.5IQR]\) are known as outliers.

\([Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]\)

\([Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]\)

\([Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]\)

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

Answer:

y = 5x + 15

Step-by-step explanation:

the y intercept is 15 because that is the about that will initially be paid no matter how much or how little you swim, and the slope is five because the amount paid in all is determined by how much he swims. hope this helps :)