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The 90% prediction interval for the number of defects per countertop after 5 hours of training is [1.35, 6.65].

To calculate the 90% prediction interval for the number of defects per countertop after 5 hours of training, we need to know the mean and standard deviation of the defect rate distribution.

Let's assume that the defect rate follows a Poisson distribution with mean μ. Then, the standard deviation of the defect rate is equal to the square root of μ.

From the given data, we know that the mean defect rate after 5 hours of training is λ = 0.8 defects per hour. Therefore, the mean defect rate after 5 hours of training is μ = 5 hours x 0.8 defects per hour = 4 defects.

The standard deviation of the defect rate is then σ = sqrt(4) = 2 defects.

To calculate the 90% prediction interval, we can use the formula:

[μ - zα/2 * σ / sqrt(n), μ + zα/2 * σ / sqrt(n)]

where zα/2 is the z-score corresponding to the desired level of confidence (in this case, 90%). From the standard normal distribution table, we find that z0.05 = 1.645.

Plugging in the values, we get:

[4 - 1.645 * 2 / sqrt(5), 4 + 1.645 * 2 / sqrt(5)] = [1.35, 6.65]

Therefore, the 90% prediction interval for the number of defects per countertop after 5 hours of training is [1.35, 6.65].

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The amount of wrapping paper that is required is; c. 202 sq. in.

The formula for the surface area of a rectangular cuboid is given as:

SA = 2(lw + lh + hw)

where;

l = length

h = height

w = width

We are given;

Length; l = 3 in.

Width; w = 7 in.

Height; h = 8 in.

Thus, surface area is;

SA = 2((3*7) + (3*8) + (8*7))

SA = 2(21 + 24 + 56)

SA = 2(101)

SA = 202 sq. in

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The appropriate statistical technique to compare money spent at the store between two groups in a marketing research study is the independent-samples t-test.

The independent-samples t-test is used to compare the means of two independent groups. In this case, the groups are the ones who received the coupon and the ones who did not, and they are independent because the participants were randomly assigned to each group.

The null hypothesis for the independent-samples t-test is that there is no difference between the means of the two groups. The alternative hypothesis is that there is a significant difference between the means of the two groups.

By conducting an independent-samples t-test on the data, the researcher can determine whether the difference in money spent at the store between the two groups is statistically significant or simply due to chance. If the p-value is less than the significance level (usually 0.05), the researcher can reject the null hypothesis and conclude that there is a significant difference between the two groups in terms of the money spent at the store.

Therefore, the independent-samples t-test is an appropriate statistical technique to compare the means of two independent groups and test for significant differences between them.

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Step-by-step explanation:

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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The coordinate of point A are (-2,1), Point B are (-4,-2), Point C are (-4,-6), and Point D are (-1,-3).

A coordinate of a graph is defined as the point where the line of X axis and y axis meets to form a location on the graph.

To find the coordinates of a point in the coordinate system, you do the opposite. Start at one point and follow the vertical axis vertically up or down. You have x-coordinates. Then do the same thing, but with a horizontal line to find the y-coordinate.

Thus, the coordinates of the following points include the following:

Point A: (-2,1)

Point B: (-4,-2)

Point C: (-4,-6)

Point D: (-1,-3)

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Answer:

m∠IGJ = 42°

Step-by-step explanation:

It's given in the question,

m(arc IJ) = 84°

And we have to get the measure of ∠IGJ.

By using the property of inscribed angle and the intercepted arc.

"Measure of an inscribed angle is half of the measure of intercepted arc"

m(arc IJ) = 2(m∠IGJ)

84° = 2(m∠IGJ)

m∠IGJ = 42°

In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

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Answer:

infinite if you say that you have to find 2 or 3 solution so we can find by putting x value like 0 ,2,1 or also you can put y value

Answer:

Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Answer:

The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Hope that helps :)

Answer:

Explanation:

Here, we want to write the equation of a line in point-slope form

Mathematically, we have that as:

where m, which is the slope is -2/3 and (x1,y1) which is the point is (-3,2)

Substituting the values, we have it that:

Answer:

Dublin Village Jewelry's is a family owned and operated full service fine jewelry store located in the heart of Dublin, Ohio. We are passionate about what we do and pride ourselves on providing our clients with a fun, pressure free shopping experience. We carry beautiful, ethically sourced, high quality bridal and fine jewelry as well as luxury timepieces, all at excellent values.

Step-by-step explanation:

Make sure you press this to brainliest

Answer:

4.1015659297

Explanation:

4.1015659297 is the number that you multiply by itself 3 times to get 69

Answer:

4.102

Step-by-step explanation:

there is no exact cube root of 69

Answer:

C = (12, 13)

Step-by-step explanation:

The centre of the rectangle is O.

Find the difference between the x and y-values of O and A:

\(O_x-A_x=\dfrac{21}{2}-9=\dfrac32\)

\(O_y-A_y=\dfrac{19}{2}-6=\dfrac72\)

Now add those difference to the coordinates of O to find C:

x value of C = \(O_x+\dfrac32=\dfrac{21}{2}+\dfrac32=\dfrac{24}{2}=12\)

y value of C = \(O_y+\dfrac72=\dfrac{19}{2}+\dfrac72=\dfrac{26}{2}=13\)

Therefore, the coordinates of C = (12, 13)

Answer:

Step-by-step explanation:

In rectangle the diagonals bisect each other. So,O is the midpoint of AC

\(Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\x_{1}=9 \ and \ y_{1}=6\\\\\left(\dfrac{9+x_{2}}{2},\dfrac{6+y_{2}}{2} \right) = \left (\dfrac{21}{2},\dfrac{19}{2} \right)\)

Compare the x- coordinates and y- coordinates

\(\dfrac{9+x_{2}}{2}=\dfrac{21}{2} \ ; \ \dfrac{6+y_{2}}{2}=\dfrac{19}{2}\\\\\\9+x_{2}=\dfrac{21}{2}*2 \ ; \ 6 +y_{2}=\dfrac{19}{2}*2\)

9 + x₂ = 21         ;  6 +y₂ = 19

     x₂ = 21 -9     ;       y₂ = 19 - 6

     x₂ = 12         ;        y₂ = 13

C(12 ,13)

Answer:

49 is the missing angle.

Step-by-step explanation:

just add the other angles then subtract by 180 to get your answer! have a nice day!

Answer:

its c

ududhsihsisbishsusbusvsusbusbduusususuuusueuieieiejejdhebteybybeybsbysyneybdyndybbydbyeynydnnydndyjdyj8ggnxr

Step-by-step explanation:

fhjfjjgcmhmhcxmgkhfkhffhkhfkgfoyfkyftfutdutxjtxoyf

The distribution of passenger vehicle speeds on the Interstate 5 freeway (I-5) in California is nearly normal, with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour.

The given information provides us with the mean and standard deviation of the distribution of passenger vehicle speeds on the I-5 freeway in California. This allows us to describe the shape and characteristics of the distribution.

The nearly normal distribution implies that the data follows a bell-shaped curve. The mean of 72.6 miles/hour represents the center or average speed of the vehicles, while the standard deviation of 4.78 miles/hour measures the spread or variability of the speeds around the mean.

With this information, we can make calculations regarding probabilities and percentiles within this distribution. For example, we can determine the probability of a vehicle traveling below or above a certain speed, or calculate the percentage of vehicles within a specific speed range.

To perform specific calculations or make further inferences, additional information or specific questions related to the distribution would be required.

The distribution of passenger vehicle speeds on the I-5 freeway in California is nearly normal, with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. This information allows us to understand the average speed and variability of vehicles traveling on the freeway. The nearly normal distribution implies that most speeds will be concentrated around the mean, with fewer vehicles traveling at speeds farther away from the average. The given mean and standard deviation serve as important parameters for making calculations and inferences about the distribution, such as determining probabilities or identifying percentiles of vehicle speeds.

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

about 42 the not rounded is 41.6

Answer:

60

Step-by-step explanation:

Multiply to find that the answer is: 41.6

To estimate, simply round the numbers before multiplying. That would be thirty percent of 200. The answer is 60. This is close to 41.6 and is a reasonable estimate.

Answer:

380.8cm³

Step-by-step explanation:

Volume of a Cylinder is: \(V=\pi r^2h\)

'r' is the radius.

'h' is the height.

We are given a height of 9.9 cm and a diameter of 7cm.

The radius is half the diameter.

Divide 7 by 2:

\(7/2=3.5\)

The radius is 3.5 cm.

Solve for The Volume (Using 3.14 for pi):

\(V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}\)

380.8035 ≈ 380.8

The volume of the cylinder should be 380.8cm³.

By identifying the maximum value (75) and the minimum value (59) in the data set, we can determine the range, which is 16 inches .

The range of a data set measures the spread or variability of the data. It is calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 59 (the shortest height) and the maximum value is 75 (the tallest height) in the given data set.

Range = Maximum value - Minimum value

Substituting the values, we have:

Range = 75 - 59 = 16

Therefore, the range of the given data set is 16. This means that the heights of the students in the high school class range from a minimum of 59 inches to a maximum of 75 inches, with a difference of 16 inches between them.

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A sculpture formed from a cylinder resting on top of a cuboid is referred to as a composite solid. In geometry, a solid is said to be composite when it is made up of two or more simpler figures.

A cylinder is a three-dimensional shape that consists of two parallel circular bases that are connected by a curved lateral surface. Where as a cuboid is a three-dimensional shape that has six rectangular faces, eight vertices, and twelve edges. So, the cylinder is resting on top of the cuboid. The solid will have three dimensions, length, width, and height. Therefore, the composite solid will have a circular base.

That is the same size as the cylinder and a rectangular base that is the same size as the cuboid. The height of the composite solid will be equal to the height of the cylinder plus the height of the cuboid. In general, the formula to calculate the volume of a composite solid is V = V1 + V2, where V is the total volume of the composite solid, V1 is the volume of the cylinder, and V2 is the volume of the cuboid. In conclusion, we can say that a sculpture formed from a cylinder resting on top of a cuboid is a composite solid.

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Answer:

B

Step-by-step explanation:

a function can have the same y-values, but it can never have the same x-values. since option B lists 3 as an x-value twice, we can conclude that it is not a function.

Answer:

sin22=x/11

0,374×11=x

x=4,12

Step-by-step explanation:

The equation that relates time and rate of travel is time = distance / rate, so for the given scenario, the equation would be time = 1525 miles / rate.

The equation that relates time and rate of travel is:

time = distance / rate

Where:

time is the time taken to travel the distance

distance is the distance between two places (in this case, from Chicago to Las Vegas)

rate is the rate of travel (the average speed)

So, for this specific case, the equation would be:

time = 1525 miles / rate

where rate is the average speed at which you travel from Chicago to Las Vegas.

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Answer:

C

Step-by-step explanation:

Answer:

2.861

Step-by-step explanation:

What is the value of the t score for a 99% confidence interval if we take a sample of size20? Thus, the t-score for a 99% confidence interval for sample size 20 is 2.861.