The polygons to the right are similar. Find the values of each variable! ( simplify ur answer)
Help mee please i have a headache

Answer:

9.219544

Step-by-step explanation:

(8 - -1)^2 + (0 - -2)^2 = 85, sqrt 85 = 9.219544

Answer:

Step-by-step explanation:

Distance formula : d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((8-(-1))²+(0-(-2))²)

d=√((9)²+(2)²)

d=√(81+4)

d=√(85)

d = 9.21954445729

a. The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes.

b. The probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20

What is Probability?

Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.

a. The mean of the sampling distribution of the difference in sample means, xF - xM, is equal to the difference of the population means, μF - μM = 8.8 - 7.3 = 1.5 minutes.

where σF and σM are the standard deviations of the populations of female and male students, respectively, and nF and nM are the sample sizes of female and male students, respectively.

\(Standard\ Deviation = \sqrt{3.3^2/8 + 2.9^2/8} \\\\Standard\ Deviation = \sqrt{{2.75} }\\\\Standard\ Deviation = 1.65\ minutes\)

So, the mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes, respectively.

b. The probability of getting a difference in sample means xF - xM that is less than 0 can be found using a standard normal distribution table. First, we need to standardize the difference in sample means xF - xM by subtracting the mean and dividing by the standard deviation:

z = (xF - xM - (μF - μM)) / standard deviation

z = (0 - 1.5) / 1.65 = -0.91

Looking up -0.91 in a standard normal distribution table, we find that the probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

So, there is a 20% probability of getting a difference in sample means xF - xM that is less than 0.

Hence, The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes and probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

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Answer:

y=-2x+8

Step-by-step explanation:

slope intercept form is y=mx+b

b is the y int

m is the slope

y-int: 8

slope: -2

Answer:

y=-2x+8

Step-by-step explanation:

The slope is going down by 2. Therefore, it is a negative 2. The y-intercept is 8.

Answer:

NO!

Step-by-step explanation:

They are not equivalent. We can check this. If you rewrite them as fractions 13/14 and 1/2, you can cross multiply and see if they are equal. Which they are not. Also, you could just guess.... think of 13:14 as 13 out of 14. And 1:2 as 1 out of 2. You can tell that 13/14 is much greater than 1/2.

The baseball team can bring 11 players to the tournament based on their budget.

An equation is an expression that shows the relationship between two or more numbers and variables. An equation is a mathematical statement that represents the equality of two things.

It is made up of two expressions, one on each side of the equal to symbol. An equation, in other words, is a statement that the values of two mathematical expressions are equal.

Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:

24.75x + 856.5 = 1128.75

x = 11

The baseball team can bring 11 players to the tournament based on their budget.

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The particular solution that satisfies the given initial conditions is y(x) = y(x) = y(x) = e^2x + 6e^(-3x).

To verify that y1 = e^2x and y2 = e^(-3x) are solutions to the differential equation y'' + y' - 6y = 0, we substitute them into the equation:

For y1:

y'' + y' - 6y = (e^2x)'' + (e^2x)' - 6(e^2x) = 4e^2x + 2e^2x - 6e^2x = 0

For y2:

y'' + y' - 6y = (e^(-3x))'' + (e^(-3x))' - 6(e^(-3x)) = 9e^(-3x) - 3e^(-3x) - 6e^(-3x) = 0

Both y1 and y2 satisfy the differential equation.

To find a particular solution that satisfies the initial conditions y(0) = 7 and y'(0) = -1, we express y(x) as y(x) = c1y1 + c2y2, where c1 and c2 are constants. Substituting the initial conditions into this expression, we have:

y(0) = c1e^2(0) + c2e^(-3(0)) = c1 + c2 = 7

y'(0) = c1(2e^2(0)) - 3c2(e^(-3(0))) = 2c1 - 3c2 = -1

Solving this system of equations, we find c1 = 1 and c2 = 6. Therefore, the particular solution that satisfies the given initial conditions is y(x) = y(x) = y(x) = e^2x + 6e^(-3x).

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The phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is: -0.927 rad

We are told that the vertical scale is set as: v_s = 4.0 cm/s

Using the formula of velocity, we can find the phase constant for the harmonic oscillator from the position function of form,

x(t) = x_m cos(ωt + φ)

The velocity of a body in motion is expressed as:

v = dx/dt  -----(i)

Equation of displacement of the motion:

x(t) = x_m cos(ωt + φ)    -----(ii)

Differentiating equation (ii), we get:

v = -v_m sin (ωt + φ)    -----(iii)

Using the values of t = 0 s, v_m = 5 cm/s, v = 4 cm/s in equation (iii), we get:

4 = -5 sin  (ω(0) + φ)  

φ = sin⁻¹(4/5)

φ = -0.927 rad

Therefore, the phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is -0.927 rad

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Complete question is:

What is the phase constant for the harmonic oscillator with the position function x(t) given in the plot if the position function has the form x = x_m cos(ωt + φ). The vertical axis scale is set as v_s = 4.0 cm/s

Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?​

step 1

Find the area of the garden

Remember that the area of a rectangle is equal to

A=L*W

we have

L=16 ft

W=13 ft

substitute

A=16*13

A=208 ft^2

step 2

we know that

each bag of fertilizer covers 26 square feet

so

Applying proportion

1/26=x/208

solve for x

x ----> number of bags

x=(1/26)*208

x=8 bags

therefore

Use the Law of Sines to solve the triangle. The correct option among the given options is B C = 85°, a = 5.76, b = 8.69, where c ≈ 10.38.

To solve the triangle using the Law of Sines, we can use the formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's analyze each option one by one:

A) C = 85°, a = 7.76, b = 10.69

To solve this triangle, we can use the Law of Sines as follows:

a/sin(A) = b/sin(B) = c/sin(C)

7.76/sin(35°) = 10.69/sin(60°) = c/sin(85°)

Using this equation, we can solve for c:

c = (7.76 * sin(85°)) / sin(35°) c ≈ 13.99

Therefore, the answer is not C = 85°, a = 7.76, b = 10.69.

Now let's check the other options:

B) C = 85°, a = 8.76, b = 10.69

Using the same formula, we can calculate c:

c = (8.76 * sin(85°)) / sin(35°) c ≈ 15.77

Therefore, the answer is not C = 85°, a = 8.76, b = 10.69.

C) C = 85°, a = 8.69, b = 9.69

Using the same formula, we can calculate c:

c = (8.69 * sin(85°)) / sin(35°) c ≈ 15.56

Therefore, the answer is not C = 85°, a = 8.69, b = 9.69.

The correct option among the given options is B C = 85°, a = 5.76, b = 8.69, where c ≈ 10.38.

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Answer:

See Explanation

Step-by-step explanation:

Given

\(ABD = 0.18x +67\)

\(CBD = 0.07x + 48\)

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

\(0.18x + 67 = 0.07x + 48\)

Collect like terms

\(0.18x - 0.07x= - 67 + 48\)

\(0.11x= -19\)

Solve for x

\(x = -\frac{19}{0.11}\)

\(x = -172.72\)

Assume ABD and CBD are supplementary

The solution is:

\(ABD + CBD=180\)

\(0.18x + 67 + 0.07x + 48 = 180\)

Collect like terms

\(0.18x + 0.07x = - 48 - 67 + 180\)

\(0.25x = 65\)

Solve for x

\(x = \frac{65}{0.25}\)

\(x = 260\)

Assume ABD and CBD are complementary

The solution is:

\(ABD + CBD=90\)

\(0.18x + 67 + 0.07x + 48 = 90\)

Collect like terms

\(0.18x + 0.07x = - 48 - 67 + 90\)

\(0.25x = -25\)

Solve for x

\(x = \frac{-25}{0.25}\)

\(x = -100\)

A parallel conversion is a method of implementing a new system in which the old and new systems run simultaneously for a period of time. While this approach can have its benefits, there are also potential problems that may arise.

One of the problems with a parallel conversion is that there is a higher risk, as there are two systems running at the same time, which can be costly and require additional resources. Another problem is that the old hardware might fail, which can cause data loss or delays in the conversion process. On the other hand, a lower risk may not be applicable in a parallel conversion because the risk factor is already high. Also, the users have to enter data into both systems, which can be time-consuming and prone to errors. Finally, an abrupt conversion is not applicable in a parallel conversion because both systems are running together. Overall, the parallel conversion method requires careful planning and execution to minimize the potential problems and ensure a smooth transition.

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Answer:

\(m = \frac{14 - 7}{2 - 0} = \frac{7}{2} \)

\(14 = \frac{7}{2} (2) + b\)

\(14 = 7 + b\)

\(b = 7\)

\(y = \frac{7}{2} x + 7\)

Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

To create indicator variables for the 'history' column with the base case as 'none', we can create three variables: 'low', 'medium', and 'high'.

We assign the value of 1 to the corresponding variable if the 'history' column has a positive case (low, medium, or high), and 0 if it has a negative case (none).

Here is an example of how the indicator variables can be created:

'low': Assign the value of 1 if the 'history' column has the value 'low', and 0 otherwise.

'medium': Assign the value of 1 if the 'history' column has the value 'medium', and 0 otherwise.

'high': Assign the value of 1 if the 'history' column has the value 'high', and 0 otherwise.

By creating these indicator variables, we can represent the 'history' column in a binary format that can be used for further analysis or modeling.

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a) The probability that Alice is the last of the 3 customers to be done being served depends on the specific values of the exponential parameter (lambda) and the service times for Bob and Claire.

b) The expected total time that Alice needs to spend at the post office depends on the exponential parameter (lambda) and the expected service times for Bob and Claire.

a) To find the probability that Alice is the last of the 3 customers to be done being served, we need to consider the possible arrangements of Bob, Claire, and Alice being served.

There are two clerks, so there are two possible arrangements:

1. Bob is served by Clerk 1 and Claire is served by Clerk 2.

2. Claire is served by Clerk 1 and Bob is served by Clerk 2.

In both cases, Alice will be the last to be served.

Since the time spent by each clerk serving a customer follows the exponential distribution, the probability of each arrangement can be calculated as the product of the exponential probabilities for the corresponding service times.

Let's assume the exponential parameter (lambda) is the same for both clerks.

The probability that Alice is the last to be done being served is given by:

Probability = P(Arrangement 1) + P(Arrangement 2)

          = (lambda × exp(-lambda × time for Bob)) × (lambda × exp(-lambda × time for Claire)) +

            (lambda × exp(-lambda × time for Claire)) × (lambda × exp(-lambda × time for Bob))

b) To calculate the expected total time that Alice needs to spend at the post office, we need to consider the total time spent by Bob, Claire, and Alice.

Assuming the exponential distribution for service times, the expected total time is the sum of the expected times for each customer.

Expected Total Time = Expected Time for Bob + Expected Time for Claire + Expected Time for Alice

The expected time for each customer can be calculated as the reciprocal of the exponential parameter (1/lambda).

Fill in the values for lambda and any specific times for Bob and Claire to get more precise calculations.

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The ANOVA method is very useful when conducting research involving multiple groups or populations, as it allows researchers to test for significant differences in the means of multiple populations in a single test.

Analysis of variance is an extremely popular approach for examining the significance of population variations. It's used to estimate the population variance of two or more groups by comparing the variance between the groups to the variance within them.

ANOVA (analysis of variance) is a statistical method for determining whether or not there is a significant difference between the means of two or more groups. The total sample size in the experiment is nT, and there are k populations. The mean square due to error is SSE/(k-1), while the mean square due to treatment is SSTR/k.

The F-statistic, which is used to test the null hypothesis that there is no difference between the means of the populations, is calculated by dividing the mean square due to treatment by the mean square due to error. If the F-statistic is high, it suggests that there is a significant difference between the means of the populations, and the null hypothesis should be rejected.

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The surface area and volume of a pentagonal prism is  5/2 × a² × √(5 + 2√5) + 5ab and (1/4) × (5 + 2√5) × a² × h respectively. We can find the solution in the following manner.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

To find the surface area and volume of a pentagonal prism, we need to know its height, the length of the sides of the pentagon, and the length of the rectangular faces.

Let's denote the height of the pentagonal prism as "h", the side length of the pentagon as "a", and the length of the rectangular face as "b".

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Area of each pentagonal face = 5/4 × a² × √(5 + 2√5)

Area of each rectangular face = a × b

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

= 5/2 × a² × √(5 + 2√5) + 5ab

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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The surface area and volume of a pentagonal prism is sum of the areas of its faces, and (1/4) × (5 + 2√5) × a² × h.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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a) The mean of the sampling distribution of the sample proportion is given as follows: p = 0.18.

b) The standard deviation of the sampling distribution of the sample proportion is given as follows: s = 0.14.

The sampling distribution of p is defined according to the Central Limit Theorem, which states that the sampling distribution of a proportion p in a sample of size n has mean and standard deviation defined as follows:

The sample size and the proportion for this problem are given as follows:

n = 8, p = 0.18.

Then the standard deviation of the sampling distribution of the sample proportion is calculated as follows:

s = square root (0.18 x 0.82/8) = 0.14.

(0.1358 is rounded to 0.14 as 5 is the third digit).

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Answer: 8

Step-by-step explanation:

     Given:

(5x^2-x-1)-(-3x^2-2x-5)

     Rewrite:

(5x² -x -1) - (-3x² -2x -5)

     Distribute the negative:

5x² -x -1 + 3x² +2x +5

     Reorder terms:

5x² + 3x² -x +2x -1 +5

     Combine like terms:

8x² + x + 4

   The coefficient of the x² term is 8,

8x² + x + 4

The image of a point (-6, 3) after a translation right 5 units and down 3 units is

The transformation rule for translation right 5 units and down 3 units is

(x, y) → (x + 5, y - 3)

Applying the rule to the point (-6, 3)

(-6, 3) → (-6 + 5, 3 - 3) → (-1,, 0)

hence the translation results to create an image of (-1, 0)

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The value of Tan I given the opposite and hypotenuse of the triangle is 4/3.

Hypotenuse = 10

Opposite = 8

Adjacent = ?

Adjacent² = Hypotenuse² - opposite²

= 10² - 8²

= 100 - 64

Adjacent ² = 36

Adjacent = √36

= 6

Tan I = opposite / adjacent

= 8/6

Tan I = 4/3

Therefore, tan I given as fraction in its simplest form is 4/3.

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Answer: A

Step-by-step explanation:

The segment passes through the center of the circle, O, and its endpoints lie on the circumference of the circle.

The segment ZX is the diameter of the circle O. Then the correct option is A.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The diameter of the circle is the longest chord that is passing through the center of the circle.

The segment ZX is the diameter of the circle O.

Then the correct option is A.

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Answer:

package 3 is lowest unit price

Step-by-step explanation:

pkg 1

$0.55/.5m = $1.10/m

pkg 2

$2/2m = $1.00/m

pkg 3

$7/10m = $0.70/m

pkg 4

$5.50/5m = $1.10/m

------------------------------

package 3 is lowest unit price

Answer:

the answer is G because each grab the probability is 1/5 and 1/5*1/5= 1/25

x = 5

I hope this helped :D

Answer:

x=5

Step-by-step explanation:

5x-5=x+15

-x     =-x

4x-5=15

    +5=+5

4/4x=20/4

x=5

Answer:

9

Step-by-step explanation:

Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.

take a screenshot and insert them into your student companion.

1. circle a, with a diameter of

6 cm.

2. circle c, with a radius that is

equal to circle a's diameter.

3. circle b, with a radius of 5

cm.

4. circle d, with a diameter

that is equal to circle b's

radius.