in a two-way anova test, if the effect of one variable depends on the value of another variable, then there is: group of answer choices interaction correlation multi colinearity

Answer:

200 items

Step-by-step explanation:

3 mins = 150 items

Let's find the number of items can be sorted in 1 minute:

\(\frac3{150} = \frac1x\\\\\\3x = 150\\\\\\x = 150/3\\\\\\x = 50\)

In 1 minute, 50 items can be sorted

To find the number of items in 4 minutes, we multiply it by 4.

\(50\cdot4 = 200\)

200 items

-Chetan K

If company has 2855 units in stock, then the probability of stockout is (b) 2.442%.

To calculate the probability of a stockout, we use the concept of the normal distribution. The historical demand average of 1447 units per week and a standard-deviation of 715 units, we assume that the demand follows a normal distribution.

To find the probability of a stockout, we determine how likely it is for the demand to exceed the current stock level of 2855 units.

First, we calculate the z-score, which measures the number of standard deviations the current stock level is away from the mean:

z = (2855 - 1447)/715 = 1.9818

Now, we find the probability of a stockout by calculating the area under the normal distribution curve to the right of this z-score.

This represents the probability of the demand exceeding the current stock level.

We know that probability corresponding to a z-score of 1.9818 is approximately 0.02442.

Therefore, the correct option is (b).

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Answer:

Its D

Step-by-step explanation:

Answer:

9x + (6 + 9x) =12

Step-by-step explanation:

For a combined equation, you need to eliminate one of the variables. For this example I eliminated the y variable.

Lets look at this equation, (You can do this for either equation, I just picked this one):

-9x + y = 6

You have to separate the y variable from the rest. So you add -9x to both side to cancel out the -9x.

Resulting in:

y = 6 + 9x

Now that you have an equation for the y variable, use the substitution method to add your new equation to the other.

9x + y = 12, becomes: 9x + (6 + 9x) = 12

That is your combined equation for the system.

Answer:

36 monkeys where sleeping

Answer:

a

Step-by-step explanation:

To obtain the inverse, rearrange the relation making x the subject

y = x² + 4 ( subtract 4 from both sides )

y - 4 = x² , or

x² = y - 4 ( take square root of both sides )

x = ± \(\sqrt{y-4}\)

Change y into terms of x with x = \(f^{-1}\) (x) , that is

\(f^{-1}\) (x) = ± \(\sqrt{x-4}\) → a

Answer:

$ 84.50

Step-by-step explanation:

Regular price = $130

Discount = 35% of 130

               = \(\frac{35}{100}*130\)

              = 0.35 * 130

             = $ 45.50

Price of the sunglasses after discount = Regular price - discount

                                                               = 130 - 45.50

                                                              = $ 84.50

The required greatest difference between the estimate and the true value is 45.

Given that,
Ethan needs to add together two whole numbers and wants to estimate the answer first. He rounds both numbers to 1 significant figure, which gives him 300 and 600 and adds them together to get an estimate of 900.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
For the estimated number 900, the least number that can be rounded to the number 900 is 855,
Now,
Difference  = 900 - 855 = 45

Thus, the required greatest difference between the estimate and the true value is 45.

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Answer:

1/10x * 1/10x

Step-by-step explanation:

Writing a term with negative exponents is the same as putting it in a fraction.

10x^-1 = 1/10x

so the expression would be

1/10x * 1/10x

The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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The effect of each transformation is given as follows:

Examples of transformations are given as follows:

The measures that are preserved for each transformation are given as follows:

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Answer:

Step-by-step explanation:

3x=-15

x=-5

Answer:

-5

Step-by-step explanation:

\(\sqrt{13}\) = 3.60555127546

rounded to the nearest hundredth:

3.61

Mathematically, it is defined as I(x;y) = H(y) - H(y|x), where H(y) is the entropy of y and H(y|x) is the conditional entropy of y given x.

First, we calculate H(y), which represents the uncertainty or randomness of variable y. It is computed by summing the probabilities of each possible outcome of y multiplied by their respective logarithms.

Next, we calculate H(y|x), the conditional entropy of y given x. It quantifies the remaining uncertainty in y when x is known. This is also computed by summing the probabilities of each outcome of y given x, multiplied by their respective logarithms.

The mutual information I(x;y) is then obtained by subtracting H(y|x) from H(y). It represents the reduction in uncertainty about y when x is known.

In summary, to solve I(x;y), we need to compute H(y), H(y|x), and then subtract the latter from the former. This will give us the mutual information between x and y, quantifying the amount of information that x provides about y.

To calculate H(y), we determine the probability distribution of y and sum the products of each outcome's probability and its logarithm. This measures the overall uncertainty in y.

Next, to compute H(y|x), we consider the conditional probability distribution of y given x. For each value of x, we calculate the conditional probabilities of each outcome of y and sum the products of these probabilities and their logarithms. This measures the remaining uncertainty in y when x is known.

Subtracting H(y|x) from H(y) gives us the mutual information I(x;y). A positive value indicates that x provides information about y, while a value of zero suggests no relationship between the variables.

By determining the mutual information, we can understand how much knowledge about y is gained from knowing x.

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Answer:

\(x = 8\)

Step-by-step explanation:

Given:

\(DG = 10\)

See attachment for complete question.

From the attachment, we can conclude that:

\(x + 1 + 2x - 15 = DG\)

Substitute 10 for DG

\(x + 1 + 2x - 15 = 10\)

Collect Like Terms

\(x + 2x = 10 + 15 - 1\)

\(3x = 24\)

Solve for x

\(x = 24/3\)

\(x = 8\)

Answer:

c

Step-by-step explanation:

Answer:

the answer should be c) 20w + 200 = 500

Answer:

3X3 that would be 9 so 33x33 equals 99

The instrument used to measure the air taken in by and expelled from the lungs is called a spirometer. It measures lung volumes and capacities.

Which are important indicators of lung function and respiratory health. Spirometry is a common test used to diagnose and monitor respiratory diseases such as asthma, chronic obstructive pulmonary disease (COPD), and pulmonary fibrosis.

air that a person inhales and exhales. It measures several lung volumes and capacities, including:

Tidal Volume (TV): This is the amount of air that is inhaled or exhaled during normal breathing.

Inspiratory Reserve Volume (IRV): This is the additional amount of air that can be inhaled after a normal inhalation.

Expiratory Reserve Volume (ERV): This is the additional amount of air that can be exhaled after a normal exhalation.

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Answer:

6.29

Step-by-step explanation:

so you know that the unknown side which is 7x + 27 equals 71.

You can begin by subtracting 27 from 71 which will give you 44.

you then know that 44 = 7x

then you just have to do 44 divided by 7 to find x which isss...

look above at answer  

Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity can be approximated as normal with mean µ and standard deviation σ.

Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity (M) can also be approximated as normal.

Let n be the number of moles of solute and V be the volume of the solution in liters. Then the molarity M is given by:

M = n/V

Using the rules of propagation of errors, we can find the variance of M in terms of the variances of n and V as:

Var(M) = Var(n)/V^2 + (n^2/ V^4) * Var(V)

Assuming that the variance of the number of moles of solute and the variance of the volume are known, we can use the above formula to calculate the variance of the molarity.

Once we have the mean and variance of the molarity, we can approximate its distribution as normal using the following parameters:

- Mean: µ = E(M)

- Standard deviation: σ = sqrt(Var(M))

Therefore, the distribution of molarity M is approximately normal with mean µ and standard deviation σ.

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The population density of dolphins in the studied area is approximately 28 dolphins per square mile.

This calculation is based on the count of 175 dolphins within a half circle with a radius of 2.5 miles off Clearwater Beach. To determine the population density, the area of the half circle is calculated using the formula for the area of a circle, and then the number of dolphins is divided by this area.

To calculate the population density of dolphins, we need to determine the area of the half circle off Clearwater Beach. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. Given that the radius is 2.5 miles, we can calculate the area of the half circle:

A = (1/2) × π × r^2

A = (1/2) × 3.14 × (2.5)^2

A = 1.57 × 3.14 × 6.25

A ≈ 30.96 square miles

Now that we have the area of the half circle, we can determine the population density by dividing the number of dolphins (175) by the area:

Population density = Number of dolphins / Area

Population density ≈ 175 / 30.96

Population density ≈ 5.65 dolphins per square mile

Rounding this to the nearest whole number, the population density of dolphins in the studied area is approximately 28 dolphins per square mile.

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No, there is significant difference in the use of e readers by different age groups.

Given sample 1 ( 29 years old) \(n_{1}\)=628, \(p_{1}\)=7%, sample 2( 30 years old)\(n_{2}\)=2309, \(p_{2}\)=0.11.

We have to first form hypothesis one null hypothesis and other alternate hypothesis.

\(H_{0}:\)π1-π2=0

\(H_{1}:\)π1-π2≠0

α=0.05

Difference between proportions \(p_{1}-p_{2} =-0.04\)

\(p_{d}=0.07-0.11=-0.04\)

The pooled proportion needed to calculate standard error is:

\(p=(X_{1} -X_{2} )/(n_{1} +n_{2} )\)

=(44+254)/(628+2309)

=0.10146

The estimated standard error of difference between means is computed using the formula:

\(S_{p_{1} -p_{2} }=\sqrt{p(1-p)/m_{1}+p(1-p)/n_{2} }\)

=\(\sqrt{0.101*0.899/628+0.101*0.899/2309}\)

=\(\sqrt{0.000143+0.00003}\)

=\(\sqrt{0.000173}\)

=0.01315

Z= Pd-(π1-π2)/\(S_{p_{1} -p_{2} }\)

=-0.04-0/0.013

=-3.0769

This test is a two tailed test so the p value for this test is calculated as (using z table)

p value:2 P(Z<-3.0769)

=2*0.002092

=0.004189

P value< significance level of 5%.

Hence there is enough evidence to show the claim that there is a significant difference in the use of e readers by different age groups.

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Question is incomplete as it also includes:

Significance level of 5%.

Yes , SAS (Side-Angle-Side) is a second Congruence postulate to prove triangle congruence by showing that two sides and their included angles are congruent.

Side-Angle-Side is the rule used to prove whether a given set of triangles are congruent. The SAS rule states: Triangles are congruent if two sides and an included angle of a triangle are equal to two sides and an included angle of another triangle. An included angle is the angle formed by two given sides.. For example : let's us consider two triangles ∆SQR and ∆TSR ,

In above given figure, sides

RS = RS ( common side)

QS = ST ( S divides QT in two equal parts) and angle between QS and SR equal to angle between SR and ST i.e. ∠QSR = ∠RST = 90° (right angle ) and it is included angle . So, by SAS Congruence rule, both of triangles are congruent. Hence, Δ ABC ≅ Δ PQR.

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Answer:

b = -3

Step-by-step explanation:

1. Rearrange Terms

-3(3 + 6b) = 36 - 3b

-3(6b + 3) = 36 - 3b

2. Distribute

-3(6b + 3) = 36 - 3b

-18b - 9  = 36 - 3b

3. Rearrange Terms

-18b - 9  = 36 - 3b

-18b - 9 = -3b + 36

4. Add 9 to both sides

-18b - 9 = -3b + 36

-18b - 9 + 9 = -3b + 36 + 9

5. Simplify

-18b - 9 + 9 = -3b + 36 + 9

-18b = -3b + 45

6. Add 3b to both sides

-18b = -3b + 45

-18b +3b = -3b + 45 + 3b

7. Simplify

-15b = 45

8. Divide both sides by the same factor

-15b = 45

\(\frac{-15b}{-15}\) = \(\frac{45}{-15}\)

9. Simplify

b = -3

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Answer:

WWWWWW

Step-by-step explanation:

Answer:

You are right . They are not the same

Answer:

Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:

Step-by-step explanation:

50 + 40) x 1.05 = X

90 x 1.05 = X

94.5 = X

Therefore, the total amount that the consumer had to pay for both products was $ 94.50.

Answer:

x= 15

Step-by-step explanation:

23-8= 15

x=15