1. Computer Depot is a large store that sells and repairs computers. A random sample of 110 computer repair jobs took technicians an average of = 93.2 minutes per computer. Assume that  is known to be 16.9 minutes.
(a) Find a 99% confidence interval for the population mean time  for computer repairs.
(b) Write a brief explanation of the meaning of the confidence interval in the context of this problem.

Answer:

\(x^2+y^2+14y+36=0\)

Step-by-step explanation:

Given that,

Center = (2,-9)

Radius of the circle, r = 7

We need to find the equation of a circle with a center at  (2, -9) and a radius of 7. It can be given by :

\((x-h)^2+(y-k)^2=r^2\)

Put h = 2, k = -9 and r = 7 So,

\((x-2)^2+(y-(-9))^2=7^2\\\\x^2+4-4x+y^2+81+18y=49\\\\x^2+y^2+14y+85-49=0\\\\x^2+y^2+14y+36=0\)

Hence, this is the required solution.

Answer:

it either B or C

Step-by-step explanation: cause all of the number added is 45 so it could be any of them.

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

Learn more about quadrilaterals at: https://brainly.com/question/23935806

#SPJ1

The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Answer:2.31

Step-by-step explanation: considering that the root of 3 has already been given. Will just divide 4 by the root of 3 which is 1.73. and the answer it gives is 2.31

Answer:

yes

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

-3a + 5b - c

-3(2)+5(-1)-(10)=-21

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

Know more about the vectors here:
https://brainly.com/question/30854499

#SPJ8

The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

Read more about triangles,

brainly.com/question/14712269

The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

Learn more about increase of population here:

brainly.com/question/13060148

#SPJ4

The sample standard deviation of the population with confidence interval of 95% is 13.57

Standard deviation gives a value that measures how much the given value differ from the mean.

Given data form the question

95% confidence interval

population mean of a normally distributed variable is 17.3 to 24.5

population was 76

Definition of variables

confidence interval = CI = 95%

mean = X = 17.3 to 24.5

taking the average, X = 21.45

standard deviation = SD = ?

Z score = z = 1.96

from z table z score of 95%confidence interval = 1.96

sample size = n = 76

The formula for the confidence interval is given by

\(CI=X+Z\frac{SD}{\sqrt{n} }\)   OR   \(X-Z\frac{SD}{\sqrt{n} }\)

\(24.5=21.45+1.96\frac{SD}{\sqrt{76} }\)

\(24.5-21.45=1.96\frac{SD}{\sqrt{76} }\)

\(3.05=1.96\frac{SD}{\sqrt{76} }\)

\(\frac{3.05}{1.96} =\frac{SD}{\sqrt{76} }\)

\(1.5561 =\frac{SD}{\sqrt{76} }\)

SD = √76 * 1.5561

SD = 13.56577

SD ≈ 13.57

The standard deviation is solved to be 13.57

Learn more about standard deviation at: https://brainly.com/question/24298037

#SPJ1

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

For more such questions on time

https://brainly.com/question/26862717

#SPJ8

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Therefore, the painting should be placed 5/4 feet on each side of the wall.

In the given problem, a 5-foot wide painting should be centered on a 15-foot wide wall. We can determine the length of each side of the painting by subtracting x from each side of the wall.

Therefore, the left side of the equation can be written as:

\(15 - x - 5 - x\)

The physical situation given is that the painting is to be centered on the wall. This means that each side of the wall will have the same amount of space as the painting.

Therefore, the length of each side of the painting can be determined by subtracting x from each side of the wall. The total width of the wall is 15 feet, and the painting is 5 feet wide.

Therefore, the total length of the space on each side of the painting is 5 + x.To find the value of x, we can equate the length of each side of the painting. Therefore, the equation can be written as:

\(15 -x - 5 - x = 5 + x + x\)

Simplifying the equation, we get:

\(10 - 2x = 2x + 5\)

Solving for x, we get:

\(4x = 5x = \frac{5}{4}\)

For such more question on length

https://brainly.com/question/30582409

#SPJ8

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

..........................

We are given the following expression

Let us re-write the expression as a ratio of polynomials p(x)/q(x)

First of all, find the least common multiple (LCM) of the denominators.

The LCM of the denominators is given by

Now, adjust the fractions based on the LCM

So, the expression becomes

Now, apply the fraction rule

Finally, expand the products in the numerator

Therefore, the given expression as a ratio of polynomials p(x)/q(x) is

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

The range is the resulting y-values we get after substituting all the possible x-values.

To calculate the range, we need to substitute the given x-values into the function.

The function is given to be:

At x = -2:

At x = 0:

At x = 2:

Therefore, the range of the function at the given points is:

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

Learn more about hitching trailers here:https://brainly.com/question/4295609

#SPJ1

The calculated scale factor from ABC to A'B'C is 1/3

From the question, we have the following parameters that can be used in our computation:

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

Read more about scale factor at

brainly.com/question/29229124

#SPJ1

1. Length of side DE = 9

Length of side DF = 15

2. Length of side DE = 5.625

Length of side EF = 4.96

3. Length of side DF = 10

Length of side EF = 6.61

Given,

Two triangles

Triangle ABC and Triangle DEF ; These are similar triangles

That is,

AB = DE, BC = EF, AC = DF

Here,

AB = 3

BC = 4

1. EF = 12

AB/BC = DE/EF

3/4 = x/12

x = (12 x 3) / 4

x = 3 x 3 = 9

Length of side DE = 9

DF = \(\sqrt{9^{2} +12^{2} }\) = \(\sqrt{81 + 144}\) = √225 = 15

Now,

2. DF = 7.5

AB/BC = DE/DF

3/4 = x/7.5

x = (7.5 x 3) / 4

x = 5.625

Length of side DE = 5.625

EF =  \(\sqrt{7.5^{2}-5.625^{2} }\) = \(\sqrt{56.25-31.64}\) = √24.61 = 4.96

Next,

3. DE = 7.5

AB/BC = DE/DF

3/4 = 7.5/x

x = (7.5 × 4) / 3 = 30/3

x = 10

Length of side DF = 10

EF =  \(\sqrt{10^{2}-7.5^{2} }\) = \(\sqrt{100-56.25}\) = √43.75 = 6.61

That is,

1. Length of side DE = 9

Length of side DF = 15

2. Length of side DE = 5.625

Length of side EF = 4.96

3. Length of side DF = 10

Length of side EF = 6.61

Learn more about similar triangles here;

https://brainly.com/question/25882965

#SPJ1

Answer:

1. The angle at the centre is twice the angle at the circumference

2. The angle in a semicircle is a right angle

3. Angles in the same segment are equal

4. Opposite angles in a cyclic quadrilateral sum to 180°

5. The angle between the chord and the tangent is equal to the angle in the alternate segment

Step-by-step explanation:

Answer: m=5

Step-by-step explanation:

Because the triangles are similar, AC/QS = AB/QR

Substituting in the given side lengths,

2/4 = m/10

1/2 = m/10 -> m=5

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

6 hours

The difference between the ratio numbers is 8-3 = 5. That corresponds to the 10-hour difference between training hours and pizza-eating hours. Thus, each ratio unit stands for 2 hours. The 3 ratio units spent eating pizza stand for ...

3×2 hours = 6 hours eating pizza

Step-by-step explanation:Hopefully this helped, if not HMU and I will get u a better answer!

and get i get brainliest plz, im trying to upgrade my statis

Answer:

the difference of five times a number and nine

Step-by-step explanation:

Answer:

At this point, you have walked 17/24 miles in all.

Hope this helps

Answer:  x = -3/2

Step-by-step explanation: