kingcade corporation keeps careful track of the time required to fill orders. data concerning a particular order appear below: hours wait time 20.0 process time 2.8 inspection time 1.8 move time 3.7 queue time 10.8 the throughput time was: group of answer choices 8.3 hours 19.1 hours 30.8 hours 39.1 hours

To construct a 98% confidence interval for the mean of repeated measurements of the weight, we can use the formula:

Confidence interval = mean ± (t-value) x (standard error)

where the standard error is the standard deviation of the sample divided by the square root of the sample size, and the t-value is based on the degrees of freedom (n-1) and the desired level of confidence. Since we are given the sample mean, standard deviation, and sample size, we can plug in the values and solve for the confidence interval and margin of error.

First, we need to calculate the standard error:

Standard error = standard deviation / √n

Standard error = 0.020 gram / √40

Standard error = 0.00316 gram

Next, we need to find the t-value for a 98% confidence interval with 39 degrees of freedom. We can use a t-distribution table or calculator to find the t-value, which is approximately 2.423.

Substituting the values into the formula, we get:

Confidence interval = 10.230 ± (2.423)(0.00316)

Confidence interval = 10.230 ± 0.00766

Rounding to three decimal places, the 98% confidence interval for the mean weight is (10.222, 10.238) grams. The margin of error is half the width of the confidence interval, which is 0.00766/2 = 0.00383 grams

Answer:

569

Step-by-step explanation:

because of the reduction price the amount will be 7 over hundred divided by the2568

Answer: 569

Step-by-step explanation: Got it in a question and is correct

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 13200\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}[/tex]

[tex]13200 = 7000\left(1+\frac{0.055}{12}\right)^{12\cdot t} \implies \cfrac{13200}{7000}=\left(1+\frac{0.055}{12}\right)^{12t}[/tex]

[tex]\cfrac{66}{35}=\left(\frac{12+0.055}{12}\right)^{12t}\implies \cfrac{66}{35}=\left(\frac{12.055}{12}\right)^{12t}\implies \log\left( \cfrac{66}{35} \right)=\log\left[ \left(\frac{12.055}{12}\right)^{12t} \right] \\\\\\ \log\left( \cfrac{66}{35} \right)=t\log\left[ \left(\frac{12.055}{12}\right)^{12} \right]\implies \cfrac{\log\left( \frac{66}{35} \right)}{\log\left[ \left(\frac{12.055}{12}\right)^{12} \right]}=t\implies \boxed{11.56\approx t}[/tex]

John read the least.

We have,

We can find out who read the least by comparing the percentages of the book each student read.

John read 65% of the book, which means he has 35% of the book left to read.

Hannah read 75% of the book, which means she has 25% of the book left to read.

Since Hannah has a smaller percentage of the book left to read, she has read more of the book than John.

Therefore,

John read the least.

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Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50

Step-by-step explanation:

Given the regression equation:

ŷ = -2.59 + 1.01x

We need to predict the value of ý when x (IQ score of the twin born first) is 109.

So we substitute x = 109 into the regression equation:

ŷ = -2.59 + 1.01(109)

ŷ = -2.59 + 110.09

ŷ = 107.50

Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.

Almost 1.79 million population out of 44.7 million population is aged 65 or above.

It is given that in 2015, there were 44.7 million people in Ukraine. 4% of the population were aged 65 or above.

Assume that the population with age 65 or over in 2015 be {x}. Then, we can write that -

{x} = 4% of 44.7

{x} = (4/100) x 44.7

{x} = 1/25 x 44.7

{x} = 1.79 million

Therefore, almost 1.79 million population out of 44.7 million population is aged 65 or above.

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The function that best models the data is r(x) = 480(1.093)^x

We have,

We can use the exponential function to model the data since the net revenue increases rapidly with time.

Let's try to find the general form of the exponential function:

r(x) = ab^x

where a and b are constants to be determined.

To find the value of b, we can use the information that the revenue doubles every 15 months.

So, we have:

r(15) = 2r(0)

where r(0) is the initial revenue.

Substituting the values from the table, we get:

960 = 2r(0)

r(0) = 480

Therefore,

r(x) = 480b^x

To find the value of b, we can use any two data points from the table.

Let's use the first and fifth data points:

r(3) = 274 = 480b³

r(15) = 960 = 480b^15

Dividing the second equation by the first equation, we get:

960/274 = (480b^15)/(480b³)

3.5036 = b^12

b = 1.093

Therefore,

The function that best models the data is r(x) = 480(1.093)^x

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The coefficient of static friction is typically larger than the coefficient of kinetic friction. This is because static friction needs to be overcome to initiate motion, while kinetic friction acts during the motion, which usually requires less force to maintain.

1. Difference between static and kinetic friction: -

Static friction occurs when two surfaces are not moving relative to each other. It opposes the force that is trying to make the objects move. -

Kinetic friction, on the other hand, occurs when two surfaces are moving relative to each other. It acts against the direction of motion.

2. Normal force: - The normal force is a perpendicular force exerted by a surface on an object resting on it. It acts perpendicular to the contact surface and balances the weight of the object.

3. Relationship between friction and normal force: - The frictional force (both static and kinetic) is directly proportional to the normal force acting on an object.

Mathematically, F_friction = μ * F_normal, where F_friction is the frictional force, μ is the coefficient of friction, and F_normal is the normal force.

4. Wheel friction type: - A wheel experiences static friction at the point of contact with the surface because there's no relative motion between the wheel's contact point and the surface. The rest of the wheel experiences kinetic friction as it moves in relation to the surface.

5. Comparison between coefficients of static and kinetic friction: - The coefficient of static friction is typically larger than the coefficient of kinetic friction. This is because static friction needs to be overcome to initiate motion, while kinetic friction acts during the motion, which usually requires less force to maintain.

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If it takes 48 days for patch to cover entire lake, then it will take (a) 47 days to cover the half of lake.

The patch of Lilypad doubles in size every day, so, we use the exponential growth to represent its size.

Let the initial size of patch be = "P" and

Let the final size of the patch (when it covers the entire lake) be = "L",

So, we have , L = 2⁴⁸ × P,

We have to find out how long it takes for patch to cover half of lake.

Let the size of patch at that point be = "H", where "H" is half the size of L,

Which is written as : H = L/2 = 2⁴⁷ × P,          ...equation(1)

Let the number of days to cover half lake be = "d",

So, we write equation to solve for the number of days it takes for the patch to reach size "H",

⇒ H = [tex]2^{d}[/tex] × P,

Substituting the value of "H" from equation(1),

We get,

⇒ 2⁴⁷ × P = [tex]2^{d}[/tex] × P,

Simplifying further,

We get,

⇒ 2⁴⁷ = [tex]2^{d}[/tex],

Since, the base is same, we can equate the power,

We get,

⇒ d = 47,

Therefore, it takes 47 days for the patch to cover half the lake, Correct option is (a).

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The given question is incomplete, the complete question is

In a lake, there is a patch of Lilypad. Every day, the patch doubles in size, if it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?

(a) 47 days

(b) 24 days

(c) 12 days

(d) 36 days

Trailing zeroes are significant in numbers that have a decimal point, but they are not significant in numbers that do not have a decimal point.

Trailing zeroes can have different levels of significance depending on whether the number has a decimal point or not. In a number without a decimal point, trailing zeroes are generally not significant.

For example, the number 1,200 could also be written as 1,200.0 or 1,200.00, but the additional zeroes do not change the value of the number and are therefore not significant.

On the other hand, in a number with a decimal point, trailing zeroes may be significant.

For example, the number 3.50 has two significant figures because the zeroes after the decimal point indicate that the measurement was taken to the nearest hundredth. Removing the zeroes would change the value and accuracy of the number.

Therefore, it is important to consider the context and purpose of the number when determining the significance of trailing zeroes.

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Answer:

Step-by-step explanation:

bottom middle, top middle, left bottom

Answer:

the shortest side = 22 cm

the medium side = 54 cm

the longest side = 66 cm

Step-by-step explanation:

Let the shortest side = x

As the longest side is three times longer than the shortest side,

the longest side = 3x

As the medium side is ten more than twice the shortest side,

the medium side = 2x+10

the perimeter = 142

x+3x+2x+10 = 142

6x+10 = 142

6x = 142-10

6x = 132

x = 22

the shortest side = 22 cm

the longest side = 3*22 = 66 cm

the medium side = (2*22)+10 = 44+10 = 54 cm

Answer:

22+b = t

Step-by-step explanation:

22+b= t, where t is the total number of books in the past two months.

Answer:

55 Units Squared

Step-by-step explanation:

Since the area of a rectangle is length multiplied by width, you can go about solving this by multiplying 5 by 11, which gives us 55.

Answer:

Step-by-step explanation:

The area of a rectangle that’s 11 units long and 5 units wide can be calculated by multiplying 11 x 5.

Option C is the correct answer.We have,

To find the area of a rectangle, you need to multiply its length by its width.

In this case,

The length is 11 units and the width is 5 units.

So,

The area of the rectangle is:

= 11 x 5

= 55 square unitsA rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

The options showing the front elevation of each prism are given as follows:

a) Prism X: Option B.

b) Prism Y: Option E.

The front elevation of a prism is defined as how we can see the prism looking at the front of it's shape.

Looking at the front of prism X, on the orange section, we see it as a right triangle pointing to the right, hence it is represented by option B.

Looking at the front of prism Y, on the orange section, we see it as an isosceles triangle, which is represented by option E.

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The mean would be inappropriate as a measure of central location for data in option D: number of pages in textbooks on statistics, that has extreme outliers or is skewed.

Out of the options given, the number of pages in textbooks on statistics could potentially have extreme outliers, such as a textbook with significantly more pages than the rest of the sample. Therefore, the mean may not be the most appropriate measure of central location for this type of data. A better measure might be the median, which is less affected by extreme values.

In contrast, the mean would be an appropriate measure of central location for the incomes of lawyers, ages of adults at a senior citizen center, and marital status of college students at a particular university, as these data sets are less likely to have extreme outliers or be heavily skewed.

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Complete question:

the mean, as a measure of central location, would be inappropriate for which one of the following? multiple choice

incomes of lawyers

ages of adults at a senior citizen center

marital status of college students at a particular university

number of pages in textbooks on statistics

Answer:

To determine who will win the derby, we can divide the total distance (25 meters) by the distance covered in every 2 seconds (3 meters):

25 meters / 3 meters every 2 seconds = 8.33

This means that the go-kart will cover the distance 8 times and partially complete another cycle before reaching the finish line. Therefore, whoever completes the 9th cycle first will win the derby. Since we don't have any information about the other competitors, we cannot determine who will win the derby.

Step-by-step explanation:

Answer:

A letter or symbol that represents a specific number, known or unknown is called a constant.

Step-by-step explanation:

if it helped u please mark me a brainliest :-/

Answer:

  23.6 years

Step-by-step explanation:

Given that a population is described by y = 82700e^(-0.00036t), you want to know the value of t when the population is 82000.

Substitute the given number for y and solve for t:

  82000 = 82700e^(-0.00036t)

  820/827 = e^-0.00036t . . . . . . . . . . divide by 82700, simplify

  ln(820/827) = -0.00036t . . . . . . . . take natural logs

  t = ln(820/827)/-0.00036 ≈ 23.6 . . . . . divide by the coefficient of t

It will take approximately 23.6 years.

__

Additional comment

The problem statement tells us y₀ is 82700, so we used that in the given equation.

It's a bit odd that the population is reported in thousands of thousands. It could be described as 82.7 million, declinding to 82 million.

Answer:

The answer would be 3(9e+8)

Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. So, for two gases A and B, the ratio of their rates of diffusion (rA/rB) can be expressed as: rA/rB = √(MB/MA).

In the Graham's Law experiment, the ratio of rates should have been calculated by dividing the rate of effusion/diffusion of gas A by the rate of effusion/diffusion of gas B.

The ratio of rates should ideally be equal to the square root of the reciprocal of the molar masses of the gases being compared. However, there may be differences due to experimental error, variations in temperature, pressure, and other factors that may affect the results. To account for these differences, it is important to repeat the experiment multiple times and take the average of the results.

Additionally, it may be necessary to adjust the experimental conditions to minimize any sources of error and ensure accurate measurements.

To determine the ratio of rates for the Graham's Law experiment, you can follow these steps:

1. Identify the two gases involved in the experiment and their molar masses.
2. Calculate the square root of the inverse molar masses for each gas.
3. Divide the result for the lighter gas by the result for the heavier gas.

Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. So, for two gases A and B, the ratio of their rates of diffusion (rA/rB) can be expressed as:
rA/rB = √(MB/MA)

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Answer:

A:1/3

Step-by-step explanation:

There are 6 possible outcomes when Sauli rolls the number cube, with each outcome having an equal probability of 1/6. To find the probability of rolling a number greater than 4, we need to count the number of favorable outcomes, which are the numbers 5 and 6.

Therefore, the probability of rolling a number greater than 4 is 2 favorable outcomes out of 6 possible outcomes, which simplifies to 1/3.

So the answer is A. 1/3.

____________________________________

____________________________________

Answer: 84

Step-by-step explanation: Assuming you know ether equation for area—length × width × height… by plugging in the numbers to the equation, you get 3×4×7. When all is multiplied, you get a total of 84.

Hope this helps ^^

By using the formed equation we can conclude that, there are 36 students in John's homeroom.

What is equation?

In mathematics, an equation is a statement that shows the equality of two expressions. An equation usually contains one or more variables, which are unknown values that can be solved for using mathematical operations.

Let's use x to represent the total number of students in John's homeroom.

According to the problem, 1/3 of the students walk to school and 1/4 come by car. That means:

(1/3)x + (1/4)x = number of students who don't come by school bus

(1/3)x + (1/4)x = total number of students - number of students who come by school bus

(1/3)x + (1/4)x = x - 15

To solve for x, we can combine the fractions:

(4/12)x + (3/12)x = x - 15

(7/12)x = x - 15

Next, we can isolate x on one side of the equation:

(7/12)x - x = -15

(-5/12)x = -15

x = (-15)/(-5/12)

x = 36

Therefore, there are 36 students in John's homeroom.

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Answer:

50°

Step-by-step explanation:

96°+34°=130°

A whole triangle is made up of 180°

So 180°-130°= 50°

Answer:

He would have 12 rows with 15 chairs in each row.

Step-by-step explanation:

180 divided by 18 is 10

10 plus 5 is 15

180 divided by 15 is 12.

The measure of angle ZXY is given as follows:

m < ZXY = 58º.

The value of x is obtained applying the angle bisection theorem, which divides an angle into two angles of equal measure, hence the opposite segments also have equal length.

For this problem, we have that angle ZXY is bisected as follows:

Hence the measure of angle ZXY is given as follows:

m < ZXY = 2 x 29º = 58º.

(the bisection divides the angle into two parts of equal measure, hence the total measure is given by the sum of these measures).

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