in table 9.1, the marginal cost of producing the seventh unit of output is equal to _____.

Answer:

Bob could predict a 100%, as if he has studied for a long time, and has learnt the content, he should be able to get 100%!

Answer:

b

Step-by-step explanation:

Answer:

D.) y >= -2

Step-by-step explanation:

B is wrong; x > 0

C is wrong; y values are greater than or equal -2

Answer: 4

Step-by-step explanation: bc

A. The algebraic expression that represents the total number of miles Leah runs each week is 5*M.

B. The algebraic expression that represents the total number of miles Leah runs in a year is 260*M.

Leah runs M miles everyday during the week except for Wednesday or Sunday.

We need to write the algebraic expression that represents the total number of miles Leah runs each week. Leah runs for 5 days in a week. The total number of miles run in a week is 5*M.

We need to write the algebraic expression that represents the total number of miles Leah runs in a year. Leah runs 5*M miles in a week. The total number of miles run in a year is (5*M)*52 = 260*M.

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Answer:

0 solutions

Step-by-step explanation:

-6x+3y=18

  y=2x-2.   so substitute y in the first equation

-6x+3(2x-2)=18 distribute and combine like terms

-6x +6x-6=18 and we end up with

-6=18 witch is never true so the system of equation has 0 solutions

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Answer:

8

Step-by-step explanation:

The triangle is isosceles so the answer is either 3 or 8.

You might think there are 2 answers. There are not. The base is 3 inches and the two equal sides are 8 inches a piece.

If you say that there are 2 sides of 3 inches each, they add up to 6. They can't. Six is much smaller than 8 and so two sides of 3 don't even cover up the 8, let alone make a triangle.

Answer:

Step-by-step explanation:

Use the slope formula here along with the fact that the slope is equal to 1:

\(1=\frac{-6-1}{x-4}\) and

\(1=\frac{-7}{x-4}\)  and cross multiply to get x - 4 = -7 so

x = -3

Answer:

above sea level

Step-by-step explanation:

Answer:

58, 38 and 76

Step-by-step explanation:

(a)

The median is represented by the vertical line inside the box

median = 58

(b)

The interquartile range is the difference between the upper quartile and the lower quartile.

The upper quartile is the value at the right of the box, that is 72

The lower quartile is the value at the left of the box, that is 34

Interquartile range = 72 - 34 = 38

(c)

The range is the difference between the largest and smallest value

max value is the value at the right of the data, that is 86

min value is the value at the left of the data, that is 10

Range = 86 - 10 = 76

The variance for the given data set: Year 1 = 16%; Year 2 = 6%; Year 3 = -25%; Year 4 = -3% is 0.0344.

The variance given the following returns:

Year 1 = 16%, Year 2 = 6%, Year 3 = -25%, Year 4 = -3% is 0.0344.

In probability theory, the variance is a statistical parameter that measures how much a collection of values fluctuates around the mean.

Variance, like other statistical measures, is used to describe data.

A variance is a square of the standard deviation, which is a numerical term that determines the amount of dispersion for a collection of values.

Variance provides a numerical estimate of how diverse the values are.

If the data points are tightly clustered, the variance is small.

If the data points are spread out, the variance is large.For a given data set, we may use the following formula to compute variance:

\($$\sigma^2 = \frac{\sum_{i=1}^{N}(x_i-\mu)^2}{N-1}$$\)

Where \($$\sigma^2$$\) is variance, \($$\sum_{i=1}^{N}$$\) is the sum of the data set, \($$x_i$$\) is each data point, \($$\mu$$\) is the sample mean, and \($$N-1$$\) is the sample size minus one.

In the above question, we will calculate the variance for the given data set:

Year 1 = 16%; Year 2 = 6%; Year 3 = -25%; Year 4 = -3%.

\($$\mu=\frac{(16+6+(-25)+(-3))}{4}=-1.5$$\)

Using the formula mentioned above,

\($$\sigma^2 = \frac{\sum_{i=1}^{N}(x_i-\mu)^2}{N-1}$$$$\)

=\(\frac{[(16-(-1.5))^2 + (6-(-1.5))^2 + (-25-(-1.5))^2 + (-3-(-1.5))^2]}{4-1}$$\)

After solving this expression,

\($$\sigma^2=0.0344$$\)

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Based on the data collected from the 75 randomly selected students at CSUF, the average amount of sleep they obtained on a typical night was 6.9 hours, with a standard deviation of 1.482 hours. This means that the majority of students at CSUF are sleeping between 5.4 and 8.4 hours per night, as 68% of the data falls within one standard deviation of the mean.

To answer the question of whether the average amount of sleep is less than the recommended eight hours, we need to look at the lower end of the range. The data shows that 6.9 hours is significantly less than the recommended eight hours of sleep per night. This indicates that the average amount of sleep obtained by CSUF students is less than the recommended amount.

To estimate the average amount of sleep for all CSUF students, we can use the data collected from the 75 students and calculate a confidence interval. This interval will give us a range of values that we can be confident contains the true average amount of sleep for all CSUF students.

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Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0

Answer:

Her son is 10 years old.

Step-by-step explanation:

Let son be x

Ellie is 4x

In 5 years time: Her son = x + 5

Ellie = 4x + 5

Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)

Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15

x = 10

For the given situation, angle of depression is 18 degrees and the horizontal distance from the driver's eyes to the front of the car is 5 feet then the bumpers are 5.26 feet apart from the nearest foot.

As given in the question,

Angle of depression between driver's eye to bottom of 3 foot high back end of car front is equal to 18°

Horizontal distance from the driver's eyes to the front of the car = 5 feet

Let us consider 'x' be the distance between bumper and nearest foot .

For the given situation right angle triangle get formed,

x represents the hypotenuse of the triangle,

5 feet is the base of the triangle

Using cosine rule,

cos 18° = 5 / x

⇒ x = 5 / cos 18°

⇒ x = 5 / 0.9511

⇒ x = 5.26 feet (approximately)

Therefore, for the given situation, angle of depression is 18 degrees and the horizontal distance from the driver's eyes to the front of the car is 5 feet then the bumpers are 5.26 feet apart from the nearest foot.

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Answer:

-1

Step-by-step explanation:

(9 divided by 3) + 4 (6 - 7) =

(9 ÷ 3) + 4 (6 - 7) =

( 3 ) + 4 ( -1 ) =               Multiply 4 by -1

( 3 )  ( -4 ) =                   Subtract

-1

Explanation

8 x 5 means 8 in 5 places

Answer: 40

Answer:

Step-by-step explanation:

c i watch the show

The linear equation y = 3x - 7 has a data that is correlated because it has a linear relationship and we cannot determine if there's a causation between x and y

A. y causes a. is not applicable in this case, as there is no variable named "a" in the equation.

B. The equation y = 3x - 7 represents a linear relationship between two variables, x and y. As the equation has a slope of 3, it indicates that as the value of x increases by 1, the value of y increases by 3. Therefore, the data are correlated positively.

C. This is incorrect. As mentioned in B, the equation represents a linear relationship between two variables, x and y, which are positively correlated.

D. This is correct. Although the equation represents a linear relationship between x and y, it does not imply causation. It is possible that x causes y, y causes x, or some other variable or variables may be influencing both x and y. Therefore, we cannot determine if there is causation between x and y based on the equation y = 3x - 7 alone

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Answer:

13, 31

Step-by-step explanation:

Set the width as x.

Length: 2x + 5

Perimeter:

(x) + (2x + 5) + (x) + (2x + 5) = 88

Simplify.

6x + 10 = 88

Solve.

6x = 78

x = 13

Substitute this into the previous equations

Width: 13

Length: 31

Answer:

The length is 31m and the width is 13m.

Step-by-step explanation:

Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:

88 = 2(2w +5) + 2w

Then simplify by combining like terms and solve for the width (w).

88 = 6w + 10

78 = 6w

13 = w

Now that we have the width, we can plug it back into the equation we made for the length.

l = 2w + 5

l = 2(13) + 5

l = 26 + 5

l = 31

I hope this could help!

Answer:

b, d, e

Step-by-step explanation:

Answer:

B, D, E

Read explanation... it always helps...

Step-by-step explanation:

alrighty, we know that anything positive multiplied by anything negative results in a negative number....

with that said.... b, d, and e are the only answer choices that result in a negative number that matches the expression -5/19

i hope this helps!!!

Answer:

3

Step-by-step explanation:

The difference between the y coordinates is 6.

The difference between the x coordinates is 2

The slope is rise over run so in this case, the rise is 6 and the run is 2.

This makes our slope:

6/2

This can be simplified to 3/1 so the slope is 3.

Answer:

22.

x=35

y=8

23.

x=30

y=50

Step-by-step explanation:

The throughput time for the particular order was option (d) 39.1 hours.

Throughput time is the total amount of time required for a product or service to move through a production or service delivery system, including all the time spent in processing, waiting, inspection, movement, and queuing.

The throughput time can be calculated as the sum of all the times involved in the process, including the waiting time, processing time, inspection time, move time, and queue time. Therefore:

Throughput time = Wait time + Process time + Inspection time + Move time + Queue time

Throughput time = 20.0 + 2.8 + 1.8 + 3.7 + 10.8

Throughput time = 39.1 hours

Therefore, the correct option is (d) 39.1 hours

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The solutions of the quadratic equation z^2 + (4+6i)z + 20+12i = 0 can be found using the quadratic formula.

Using the quadratic formula, the solutions for the given equation are:

z = (-b ± √(b^2 - 4ac)) / (2a)

Here, a = 1, b = 4+6i, and c = 20+12i. Plugging in these values, we can calculate the solutions.

The quadratic formula is a method to find the solutions of a quadratic equation of the form az^2 + bz + c = 0, where a, b, and c are complex numbers. In this case, we have a = 1, b = 4+6i, and c = 20+12i.

To find the solutions, we substitute these values into the quadratic formula:

z = (-4-6i ± √((4+6i)^2 - 4(1)(20+12i))) / (2(1))

Simplifying further:

z = (-4-6i ± √(16+24i-24i-36i^2 - 80-48i)) / 2

z = (-4-6i ± √(-36-60i)) / 2

Now, we need to simplify the square root term:

√(-36-60i) = √((-36) - 60i) = √(-96(1+i)) = √(-96) √(1+i) = 4i √(1+i)

Substituting this back into the equation:

z = (-4-6i ± 4i √(1+i)) / 2

Simplifying further:

z = -2 - 3i ± 2i √(1+i)

Hence, the two solutions to the quadratic equation z^2 + (4+6i)z + 20+12i = 0 are:

z = -2 - 3i + 2i √(1+i) and z = -2 - 3i - 2i √(1+i).

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Based on the regression equation, we can predict the value of the dependent variable given a value of the independent variable.

The equation includes variables that represent the relationship between the dependent and independent variables, allowing us to estimate the dependent variable's value when provided with the independent variable's value. An equation is a mathematical expression that uses symbols and operations to represent a relationship between two or more variables.

Variables are factors that can change and affect the outcome of the equation. In a regression equation, one variable is considered the dependent variable, meaning that its value depends on the value of another variable, called the independent variable.

Regression analysis is a statistical method used to model the relationship between the dependent variable and one or more independent variables. The regression equation is the mathematical formula that represents this relationship. By inputting a specific value for the independent variable into the equation, we can predict the corresponding value of the dependent variable.

It is important to note that the regression equation only predicts the value of the dependent variable based on the values of the independent variable.

It does not necessarily imply causation between the two variables, nor does it measure the association between two variables directly. However, it can be a useful tool for analyzing data and making predictions based on that data.

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