As the demand for the products crew a manufacturing company decided to higher more employees for which they want to know the mean time required to complete the work for a worker the following table shows the frequency distribution of the time required for each worker to complete a work what is the class mark of the class 25 to 29

Answer:

45%

Step-by-step explanation:

Here, we want to know the probability of a randomly selected yard having 6 or more than 6 trees

To get this, we simply add up the probability of 6 yards and above

That is the probability of 6, 8 , 10 and 12 yards

This is obtainable from the histogram

We then proceed to add up from the graph

What we have is;

0.05 + 0.25 + 0.10 + 0.05

= 0.10 + 0.10 + 0.25 = 0.45

This is same as 45/100 which is otherwise 45%

The probability that a randomly selected yard will have 6 or more trees is 45%.

Probability of having 0-2 tree = 0.35

Probability of having 2-4 tree = 0.20

Probability of having 4-6 tree = 0.05

Probability of having 6-8 tree = 0.20

Probability of having 8-10 tree = 0.10

Probability of having 10-12 tree = 0.05

Probability is to quantify the possibilities or chances.

So, probability of having 6 or more trees

= (2*0.05 + 2*0.25 + 2*0.10 + 2*0.05)/(0.35*2+0.20*2+2*0.05 + 2*0.25 + 2*0.10 + 2*0.05)

=0.9/2

=0.45

=45%

So,  probability of having 6 or more trees =45%

Therefore, the probability that a randomly selected yard will have 6 or more trees is 45%.

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The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

\(H_{o} :p=0.20\), null hypothesis

\(H_{1} :p\neq 0.20\), alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

\(Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }\)

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

\(Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }\)

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

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True. When modeling E(y) with a single qualitative independent variable, we use 0-1 dummy variables in the model. The number of dummy variables is equal to the number of levels of the qualitative variable minus one.

1. Identify the qualitative independent variable with multiple levels.

2. Determine the number of levels in the qualitative variable. Let's denote this number as "n".

3. Subtract one from the number of levels, resulting in n-1.

4. Create n-1 0-1 dummy variables to represent the different levels of the qualitative variable.

5. Assign a value of 1 to the corresponding dummy variable if the observation belongs to that level and assign a value of 0 to all other dummy variables.

6. Include these dummy variables in the regression model to estimate the effect of each level on the dependent variable.

7. The coefficients associated with the dummy variables represent the difference in the expected value of the dependent variable between each level and the reference level (the level not represented by a dummy variable).

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Answer:

$9.50

Step-by-step explanation:

If there are 8 tickets and they all add up to $76, you have to divide 76 by 8 (the number of tickets)

The coordinates of the circumcenter of the triangle with vertices A(0,0), B(0,6), and C(10,0) are (5,3).

To find the circumcenter of a triangle, we need to first find the perpendicular bisectors of the sides. The point where these three perpendicular bisectors intersect is the circumcenter.
Let's start by finding the equation of the line passing through the midpoint of AB and perpendicular to AB.

The midpoint of AB is ((0+0)/2,(0+6)/2) = (0,3). The slope of AB is (6-0)/(0-0) = undefined, so the slope of the perpendicular bisector is 0. Therefore, the equation of the perpendicular bisector of AB is y = 3.
Similarly, the midpoint of BC is ((0+10)/2,(6+0)/2) = (5,3) and the slope of BC is 0. Therefore, the equation of the perpendicular bisector of BC is x = 5.
Lastly, the midpoint of AC is ((0+10)/2,(0+0)/2) = (5,0) and the slope of AC is (0-0)/(10-0) = 0.

Therefore, the equation of the perpendicular bisector of AC is y = 0.
Now, we need to find the point of intersection of these three lines. The intersection of the perpendicular bisectors of AB and BC is (5,3), and the intersection of the perpendicular bisectors of AB and AC is (0,3).

Therefore, the circumcenter of triangle ABC is the midpoint of the line segment connecting (5,3) and (0,3), which is ((5+0)/2,(3+3)/2) = (2.5,3).
Therefore, the coordinates of the circumcenter of the triangle with vertices A(0,0), B(0,6), and C(10,0) are (5,3).

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The cycle time for the company is 3.

Unitary method is a mathematical technique for first finding value of a single unit then determining the any value according to the given question.

According to the given question a company takes 4,500 hours to produce 15,000 units of a product we have to find the cycle time for the company which we can easily determine by using unitary method.

Given the company takes 4,500 hours to complete 15000 units

∴ In one hour he company can make 15000/4500 units which is

= 3 units per hour.

So the cycle time for the company is 3 units per hour.

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Divide the corresponding sides

3/6 = 0.5

5/4 = 1.25

6/8 = 0.75

We get different results, so the sides are not in the same ratio or proportion.

A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.

Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.

Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.

Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.

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Answer:

y=-1.5x+0.5 or y+1.5x-0.5=0

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Answer:

as the opposite angles are similiar to each other for example : angle A is equal to angle B. Angle H is similiar to angle D

Answer:

15/8 hours .................

Step-by-step explanation:

Let L be Laura, and B be Ben. Then:

3L=1

5B=1

Next:

15L=5

15B=3

15(L+B)=5+3=8

15/8 (L+B)=1

Answer:

The correct answer is \(-\frac{3}{4} x-3\)

The statement that apply is that the volume of the cone is One-third the volume of the cylinder

volume of a cone = 1 / 3 πr²h

where

Volume of a cylinder = πr²h

where

The cone and the cylinder has the same base and height. Therefore, the radius and height are the same .

volume of the cylinder = 84π

Therefore, the volume of the cone is One-third the volume of the cylinder.

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The correct option is C. Isolating a variable in one of the equations.

The first step in solving a system of nonlinear equations by substitution is to isolate a variable in one of the equations.

A set of two or more equations in two or more variables that includes at least one nonlinear equation is referred to as a system of nonlinear equations.

The method to solve a system of nonlinear equations by substitution is-

The importance of systems of nonlinear equations are-

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The complete question is-

Which is most likely the first step in solving a system of nonlinear equations by substitution?

A. Substituting a number for one of the variables

B. Substituting one equation into the other equation

C. Isolating a variable in one of the equations

D. Taking the square root of both sides of one of the equations

Answer:

Isolating a variable in one of the equations.

Step-by-step explanation:

The correct answer for detecting nonrandomness in errors is E. control charts. Control charts are a statistical tool used to monitor processes and detect deviations from randomness or expected behavior. They are commonly used in quality control and process improvement to identify any systematic or nonrandom patterns in the data.

Control charts help visualize data over time and compare it to predetermined control limits. If the data falls within these limits and shows a random pattern, it suggests that the process is stable and operating within acceptable limits of variation. However, if the data exhibits nonrandom patterns, such as trends, cycles, or unusual points, it indicates the presence of special causes or systematic errors in the process. By analyzing the control chart, individuals can identify the sources of nonrandomness, investigate the underlying causes, and take corrective actions to improve the process and reduce errors. Therefore, control charts provide an effective method to detect nonrandomness and ensure the quality and consistency of processes.

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Answer:

69 and 29

Step-by-step explanation:

if you add 90 by 69 and 29 you will get the answer of 180.

Answer:

Solution

Height is not an example of a continuous variable.

D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.

Here, we have,

Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.

A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.

B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.

C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.

D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.

Therefore, option D is not an example of continuous data.

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Answer:

68°F is 20°C

Step-by-step explanation:

C = (5/9)(F - 32)

C = (5/9)(68 - 32)

C = (5/9)(36)

C = 5 * 4

C = 20

Answer: 68°F is 20°C

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

The expression 4 10/5 is the same as 4 + 10/5. It has a whole part (4) and a fraction part (10/5).

To find out if this expression is equivalent to 6, we need to simplify the fraction part:

We can simplify the fraction part in a whole number (2), so we have that:

So the answer is Yes, 4 10/5 is equivalent to 6.

Answer:

y = ± √ 7/2

Step-by-step explanation:

2*y^2-8-(6-2*y^2)=0

(2 • (y2)) - 8) - (6 - 2y2) = 0

(2y2 - 8) - (6 - 2y2) = 0

Pull out like factors :

4y2 - 14 = 2 • (2y2 - 7)

4.2 Factoring: 2y2 - 7

difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

2 • (2y2 - 7) = 0

5.1 Solve : 2 = 0

5.2 Solve : 2y2-7 = 0

Add 7 to both sides of the equation :

2y2 = 7

Divide both sides of the equation by 2:

y2 = 7/2 = 3.500

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

y = ± √ 7/2

The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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The treatments by the researcher are:

The new high-fiber diet and original diet

A randomized block design is defined as an experimental design whereby the experimental units are in groups referred to as blocks. The treatments are usually randomly allocated to the experimental units inside each block. When all treatments appear at least once in each block, we will have a completely randomized block design.

Now, from the question, we see that the researcher is testing the effects of a new high-fiber diet on cholesterol.

We also see that half are being tested on the original diet.

Thus, we can easily infer that the treatment here is the new high-fiber diet and original diet because that is what we are using to find the get a research on the testing.

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Answer:

G = (x+10) = 42 degrees

Step-by-step explanation:

G is equal to the angle across from it because of the lines being equal.

Then you plug in an equation to solve for all 180 degrees of a triangle            3x + x+10 + x+10 = 180

5x+20 = 180

5x=160

x=32

(32)+10 = 42

G = 42 degrees

Answer:

B

Step-by-step explanation:

Divide 323/17 = 19

if you multiply 17 x 19 = 323