the mean of a standard normal probability distribution

Answer:

100

Step-by-step explanation:

0.3n - 15 = 0.2n - 5

0.3n - 0.2n = - 5 + 15

0.1n = 10

10/0.1 = n

n = 100

Answer:

4 :)

Step-by-step explanation:

Answer:

2+2 is 4

Step-by-step explanation:

t's just words and symbols we use to explain things. ... It's just symbols we use to represent one plus one equaling two.

Answer:

\(x=18\)

Step-by-step explanation:

By rearranging and multiplying by 6 at the end:

\(\frac{1}{2}x - 7 = \frac{1}{3}(x-12)\\\frac{1}{2}-7 = \frac{1}{3}x - 4\\\frac{1}{2}x - \frac{1}{3}x = -4 + 7\\(\frac{3}{6} - \frac{2}{6})x = 3\\\frac{1}{6}x = 3\\x = 3 \cdot 6 = 18\)

The range for the following sets is:

{9.12, 9.33, 9.18, 9.12. 9.24} = 0.21

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2} = 29.6

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71} = 0.54

{6, 2, 14, 11, 28, 10, 19, 15, 11} = 26

The range is the difference between the highest value and the lowest value of a given set of data.

We have,

{9.12, 9.33, 9.18, 9.12. 9.24}

Range = 9.33 - 9.12

Range = 0.21

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2}

Range = 33.4 - 3.8

Range = 29.6

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71}

Range = 0.65 - 0.11

Range = 0.54

{6, 2, 14, 11, 28, 10, 19, 15, 11}

Range = 28 - 2

Range = 26

Thus,

The range of the given sets is as follows:

0.21, 29.6, 0.54, and 26.

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The average of the four random variables has a standard deviation of 0.969.

A random variable provides a rule that gives each result in a sample space a numerical value.

You must do the subsequent actions in order to determine the standard deviation for random variables:

Consider a case:

The likelihood of choosing a swimmer at random from each of the four stroke categories—1, 2, 3, and 4—is 0.2, 0.3, 0.5, and 0.1, respectively. Discover the total standard deviation of the four random variables.

This could be solved as;

First, we must determine the average value for each category.

In this case, the expected value serves as the mean.

We must multiply every value by its likelihood before summing the results to determine the expected value.

μ = E(x) = ∑xp(x)

Thus, (0.2x1) + (0.3x2) + (0.5x3) + (0.1x4) = 0.2 + 0.6 + 1.5 + 0.4 = 2.7

Mean = 2.7

The initial and second steps are now being taken.

(1 - 2.7)² x 0.2 = 2.89 x 0.2 = 0.578

(2 - 2.7)² x 0.3 = 0.49 x 0.3 = 0.147

(3 - 2.7)² x 0.5 = 0.09 x 0.5 = 0.045

(4 - 2.7)² x 0.1 = 1.69 x 0.1 = 0.169

The final stage is when we combine our products to acquire the variance V.

V = σ2 = ∑(x−μ)2P(x)

V = 0.578 + 0.147 + 0.045 + 0.169 = 0.939

The final step is to calculate the standard deviation (SD) by taking the variance's square root.

SD = σ = √σ2

Standard Deviation SD = √0.939

Standard Deviation SD = 0.969

Thus, the average of the four random variables has a standard deviation of 0.969.

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Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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Answer:

Step-by-step explanation: Volume of cylinder = 1/3 x π x r x h

= 1/3 x π x 4 x 3

= 1/3 x 12 x π

= 4 x π

= 4 x 3.142

= 12.568

The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

Answer:

87

Step-by-step explanation:

Answer:

x=91

Step-by-step explanation:

All angles of a quadrilateral can add up to 360.

360-87=273

273/3=91

x=91

I am not to sure, but I think this is the answer.

Answer:

y = 0

Step-by-step explanation:

the 2 points (- 1, 0 ) and (0, 0 ) both have the same y- coordinate.

this indicates the line is horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

both points have a y- coordinate of 0 , then

y = 0 ← equation of line

Answer:

x= 12

Step-by-step explanation:

3x-12=24

add 12 on both sides to get 36

-12+12=0 and 12+24=36

making the equation 3x=36

then, divide 3 into both sides to cancel out 3 and get x

3/3=1 or x and 36/3=12x

so, x=12

Answer:

The missing number (x) is 12

3 times 12 is 36, 36-12 is 24

Hope this helped!

The patterns of the sum and difference of two cubes can be used to factorize polynomial expressions. To utilize these patterns, we need to identify if the polynomial expression we want to factorize can be written in the form of a sum or difference of two cubes, and then apply the corresponding pattern to factorize it.

The sum and difference of two cubes are useful patterns that can be used to factorize polynomial expressions. To utilize these patterns, we need to identify if the polynomial expression we want to factorize can be written in the form of a sum or difference of two cubes. The sum of two cubes can be expressed as:

a³ + b³ = (a + b)(a² - ab + b²)

And the difference of two cubes can be expressed as:

a³ - b³ = (a - b)(a² + ab + b²)

To use these patterns, we need to look for polynomials in the form of a³ + b³ or a³ - b³, where a and b are integers or algebraic expressions. If we find such expressions, we can factorize them using the corresponding pattern.

For example, let's consider the polynomial expression x³ + 8. This can be written in the form of a sum of two cubes, where a = x and b = 2:

x³ + 8 = x³ + 2³

Now we can use the sum of two cubes pattern to factorize the expression:

x³ + 2³ = (x + 2)(x² - 2x + 4)

Similarly, if we have an expression in the form of a³ - b³, we can use the difference of two cubes pattern to factorize it. For example, let's consider the expression y³ - 27:

y³ - 27 = y³ - 3³

We can use the difference of two cubes pattern to factorize this expression:

y³ - 3³ = (y - 3)(y² + 3y + 9)

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How will you utilize the patterns in the sum and difference of two cubes in any case?

the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

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Given:

a.) A plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width.

b.) A farmer will only purchase the land if it measures 240 ft.

From the given description of the measurement of the land, we generate the following equations:

Width = w

Length = w - 8

Area of the Land = 240 ft.^2

Area = Width x Length

240 = (w)(w - 8)

240 = w^2 - 8w

w^2 - 8w - 240 = 0

Question 1: Create an equation in terms of w that models this situation.​

Answer: 240 = w^2 - 8w

Factoring out 240 = w^2 - 8w, we get:

240 = w^2 - 8w

w^2 - 8w - 240 = 0

w^2 - 8w - 240 = 0 → (w - 20)(w + 12) = 0

First possible measure of the width,

w - 20 = 0

w = 20 ft.

Second possible measure of the width,

w + 12 = 0

w = -12 ft.

A dimension must never be a negative value, therefore, the width must be equal to 20 ft.

Let's determine the length,

Length = w - 8

= 20 - 8

Length = 12 ft.

Summary:

The equation that models the situation: 240 = w^2 - 8w or w^2 - 8w = 240

The measure of the length = 12 ft.

The measure of the width = 20 ft.

Answer:

$5304

Step-by-step explanation:

One load of soil is 12 tons.

Multiply 34 with 12: 34 x 12 = 408 tonnes in all.

Next, multiply the cost per tonne with the amount of tonnes:

408 x 13 = 5304

$5304 is the total cost.

~

Answer:

X / 4 + 22

Step-by-step explanation:

22 more means we add 22. Then, we take x as our variable, in this case, it is "a number". We divide x by 4, and then we add 22. x / 4 + 22.

Answer:

First let's find the slope of the line through the points  and  

Note:  is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.

Also,  is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.

m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2

m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3

m=%283%29%2F%282%29 Subtract -2 from 0 to get 2

So the slope of the line that goes through the points  and  is m=3%2F2

Now let's use the point slope formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula

y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0

y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2

y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute

y-0=%283%2F2%29x%2B3 Multiply

y=%283%2F2%29x%2B3 Simplify

So the equation that goes through the points  and  is y=%283%2F2%29x%2B3

Notice how the graph of y=%283%2F2%29x%2B3 goes through the points  and . So this visually verifies our answer.

Graph of y=%283%2F2%29x%2B3 through the points  and

Step-by-step explanation:

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

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Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚

Answer:

x = -4/3

Step-by-step explanation:

Hope this helps

Answer:{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

Step-by-step explanation: hope this helps

Answer:

b=180°-69° (adj angles on a str line)

=111°

The standard score (z-score) for a data value 0.6 standard deviations above the mean is z = 0.6. The corresponding percentile is approximately 72.57, which can be rounded to 72.57%. Therefore, the correct answer is option B) z = 0.6; percentile 72.57.

The standard score (z-score) measures the number of standard deviations a data value is away from the mean. It is calculated using the formula:

z = (x - μ) / σ

Where x is the data value, μ is the mean, and σ is the standard deviation.

In this case, we are given that the data value is 0.6 standard deviations above the mean. So, we can substitute the values into the formula:

z = (0.6 - 0) / 1 = 0.6

Thus, the standard score (z-score) for the given data value is z = 0.6.

To find the percentile, we can use a standard normal distribution table or a calculator. The percentile represents the percentage of data values that are below a given value.

Since the z-score is positive (0.6), the percentile corresponds to the area under the standard normal distribution curve to the left of the z-score. Using a standard normal distribution table or calculator, we find that the percentile corresponding to z = 0.6 is approximately 72.57%.

Therefore, the correct answer is option B) z = 0.6; percentile 72.57.

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Answer:

6.58

Step-by-step explanation:

divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.

Answer:

1.88/2  0.94x7 for one week Kelly will pay $6.58 for a sonic drink

the answer is B

Step-by-step explanation:

1.88/2= 0.94

0.94x7=6.58

for one week Kelly will pay $6.58 for a sonic drink

hope this helps:) have a good day :)

Answer:

12xy+14x

Step-by-step explanation:

12xy+14x

Hope this helps :3

Answer:

12xy + 14x

Step-by-step explanation:

I believer this is correct

Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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Answer:

1. No, the shape has changed its size so it cannot be congruent.
2. Yes, shape was rotated but stayed the same shape and size so they are congruent.