I need help. I don’t understand what I have to do

Standard deviation variance squared is the measure of dispersion the most often used, along with the standard deviation, that is simply the square root of the variance.

In the standard deviation of squared variance, the variance is the mean squared difference between the each data point and the center of the distribution, measured by mean. The larger the squared value of the standard deviation variance, the more spread out the data.

It is calculated keeping in mind the square of standard deviation. And  provides measure of the dispersion that is more sensitive to extreme values ​​in the dataset than standard deviation alone.

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because, the quotient has an integer in its denominator

Explanation

A rational number is a number that is expressed as the ratio of two integers

hence

for

we can solve the root in the denominator, so we have

so, as the number can be expressed as the ratio of two integers ( 20 and 4) we can conclude

because, the quotient has an integer in its denominator

I hope this helps you

Answer:

  B.  6 per hour

Step-by-step explanation:

You want to know the arrival rate if the average time between arrivals is 10 minutes.

The rate is the inverse of the period.

  (1 arrival)/(10 minutes) = (1 arrival)/(1/6 h) = 6 arrivals/h

The arrival rate is 6 per hour.

<95141404393>

Therefore, the arrival rate is 6 per hour. Only option B has the same value as calculated, that is, 6 per hour.

A single-channel queuing system has an average service time of 8 minutes and an average time between arrivals of 10 minutes.

The arrival rate can be determined using the following formula:λ=1/twhere,λ is the arrival rate and t is the average time between arrivals. Substitute t=10 in the above equation, we getλ=1/10=0.1Now, let’s check which of the given options is equal to 0.1.5 per hour is equal to 5/60 per minute=1/12 per minute≠0.1.8 per hour is equal to 8/60 per minute=2/15 per minute≠0.1.6 per hour is equal to 6/60 per minute=1/10 per minute=0.1 (Correct)2 per hour is equal to 2/60 per minute=1/30 per minute≠0.1. Therefore, the correct answer is option B, 6 per hour. Explanation: Arrival rate=λ=1/tWhere t is the average time between arrivals. Given, the average time between arrivals =10 minutes, therefore,λ=1/10=0.1For the given options, only option B has the same value as calculated, that is, 6 per hour.

Therefore, the arrival rate is 6 per hour. Only option B has the same value as calculated, that is, 6 per hour.

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Step-by-step explanation:

We have AB = 7, Angle ABC = 70°

and Angle ACB = 90°.

Angle BAC = 180° - 70° - 90° = 20°

(Sum of angles in a triangle = 180°)

Using Trignometry,

AC = 7sin70° = 6.58.

BC = 7cos70° = 2.39.

To determine the fraction of a person that corresponds to one degree, we need to consider the total number of people who participated in Brian's survey and the total number of degrees (360). Based on the given data, the frequency of responses for each destination is provided.

To calculate the fraction of a person that represents one degree, we divide the frequency of each destination by the total number of participants and multiply it by 360 (total degrees in a circle).

Let's calculate the fraction for each destination:

- Destination UK: (60 / 282) * 360 = 77.03 degrees

- Destination Europe: (72 / 282) * 360 = 92.34 degrees

- Destination USA: (26 / 282) * 360 = 33.02 degrees

- Destination Africa: (48 / 282) * 360 = 61.28 degrees

- Destination Other: (60 / 282) * 360 = 77.03 degrees

To find the fraction of a person that corresponds to one degree, we sum up all the fractions calculated above and divide it by the total number of degrees:

(77.03 + 92.34 + 33.02 + 61.28 + 77.03) / 360 ≈ 0.5914

Therefore, one degree represents approximately 0.5914 fraction of a person.

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The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/π2 .

The piece of meat has a weight of 1,800g.

So, as the question says allow 30 minutes of cooking to each 450g.

Similarly,

Therefore, the piece of meat has a weight of 1,800g.

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Answer:

1800

Step-by-step-explanation:

Answer:

\(n=5-2p\)

Step-by-step explanation:

STEP 1: Rewrite the equation as  3 n + 6 p = 15 .

\(3n+6p=15\)

STEP 2: Subtract  6 p  from both sides of the equation.

\(3n=15-6p\)

STEP 3: Divide each term by  3  and simplify.

\(n=5-2p\)

Answer: $10.16

Step-by-step explanation:

This is quite simple. We do not need much explaining. All we need to do is:

Add the total cost together

$4.48 + $0.88 + $1.24 + $3.56 = $10.16

Therefore, Sharift spent 10.16 dollars at the grocery store.

Answer:

$16.42

Step-by-step explanation:

Find all your costs:

4.48* 2 1/4= 10.08

0.88* 1 3/4= 1.54

1.24

3.56

Then add:

10.08+1.54+1.24+3.56= 16.42

Hope this helps! :)

Using the hypergeometric distribution, it is found that there is a 0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.

The students are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

The formula is:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that this group of four students includes at least two of the top three geography students in the class is:

\(P(X \geq 2) = P(X = 2) + P(X = 3)\)

In which:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,28,4,3) = \frac{C_{3,2}C_{25,2}}{C_{28,4}} = 0.0440\)

\(P(X = 3) = h(3,28,4,3) = \frac{C_{3,3}C_{25,1}}{C_{28,4}} = 0.0012\)

Then:

\(P(X \geq 2) = P(X = 2) + P(X = 3) = 0.0440 + 0.0012 = 0.0452\)

0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.

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The probability of the spinner landing in region 4 on the first spin and region 2 on the second spin is 1/5 * 1/5, or 1/25. The probability of this sequence of spins occurring is thus 1/25.

The probability that a spinner has an equal chance of landing on each of its five numbered regions can be computed by dividing the number of favorable outcomes by the total number of possible outcomes.

For instance, the spinner in this case has five numbered regions with an equal chance of landing on each.

As a result, there are five possible outcomes when spinning the spinner.

On the first spin, the region that the spinner lands in is region 4.

As a result, there is only one possible outcome on the first spin that is favorable.

On the second spin, the region that the spinner lands in is region 2.

As a result, there is only one possible outcome on the second spin that is favorable.

Since each spin is independent, we can multiply the probability of each event to determine the probability of both events occurring together.

Therefore, the probability of the spinner landing in region 4 on the first spin and region 2 on the second spin is 1/5 * 1/5, or 1/25.

The probability of this sequence of spins occurring is thus 1/25.

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Answer:

Step-by-step explanation:

The given function is f(x) = 9x + 7.  To find the inverse function:

1.  Replace "f(x)  = " with "y = ":  y = 9x + 7

2.  Interchange x and y:  x = 9y + 7        

                                                                          x - 7

3.  Solve this result for y:  9y = x - 7, or y = ---------------

                                                                              9

This is the same result as given answer B.

The probabilities as follows:

A. P(F2|F1) = 0.3 (30%)

B. P(F1|F2) = 0.25 (25%)

C. P(F1 or F2) = 0.19 (19%)

D. P(not F1 and not F2) = 0.81 (81%)

To solve this problem, we can use the concept of conditional probability and the principle of inclusion-exclusion.

Given:

P(F1) = 0.10 (Probability of failing at Check Point 1)

P(F2) = 0.12 (Probability of failing at Check Point 2)

P(F1 and F2) = 0.03 (Probability of failing at both Check Point 1 and Check Point 2)

A. To find the probability that an item failed at Check Point 1 and also failed at Check Point 2 (F2|F1), we use the formula for conditional probability:

P(F2|F1) = P(F1 and F2) / P(F1)

Substituting the given values:

P(F2|F1) = 0.03 / 0.10

P(F2|F1) = 0.3

Therefore, the probability that an item failed at Check Point 1 and also failed at Check Point 2 is 0.3 or 30%.

B. To find the probability that an item failed at Check Point 2 given that it failed at Check Point 1 (F1|F2), we use the same formula:

P(F1|F2) = P(F1 and F2) / P(F2)

Substituting the given values:

P(F1|F2) = 0.03 / 0.12

P(F1|F2) = 0.25

Therefore, the probability that an item failed at Check Point 2 and also failed at Check Point 1 is 0.25 or 25%.

C. To find the probability that an item failed at either Check Point 1 or Check Point 2 (F1 or F2), we can use the principle of inclusion-exclusion:

P(F1 or F2) = P(F1) + P(F2) - P(F1 and F2)

Substituting the given values:

P(F1 or F2) =\(0.10 + 0.12 - 0.03\)

P(F1 or F2) = 0.19

Therefore, the probability that an item failed at either Check Point 1 or Check Point 2 is 0.19 or 19%.

D. To find the probability that an item failed at neither of the check points (not F1 and not F2), we can subtract the probability of failing from 1:

P(not F1 and not F2) = 1 - P(F1 or F2)

Substituting the previously calculated value:

P(not F1 and not F2) = 1 - 0.19

P(not F1 and not F2) = 0.81

Therefore, the probability that an item failed at neither Check Point 1 nor Check Point 2 is 0.81 or 81%.

In conclusion, we have calculated the probabilities as follows:

A. P(F2|F1) = 0.3 (30%)

B. P(F1|F2) = 0.25 (25%)

C. P(F1 or F2) = 0.19 (19%)

D. P(not F1 and not F2) = 0.81 (81%)

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The equation represents Donnovan's total earnings for the day, which is solely based on his hourly wage of $12.57 multiplied by the number of working hours 'z.'

The given system of equations represents the amount of money earned, denoted as 'm,' each day based on the number of working hours, denoted as 'z,' for two individuals: Thomas, who works at the beach chair service, and Donnovan, who works at the bookstore.

For Thomas, the equation is:

m = 8.15z + 35.50

For Donnovan, the equation is:

m = 12.57z

By plugging in the appropriate values for 'z,' the number of working hours, into the respective equations, one can calculate the total amount of money earned, 'm,' by each individual for a given day.

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Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

x to the power of 2

over

3125

Answer:

0.0000625

Step-by-step explanation:

\(10^{-5}=0.00001\)

\(6.25*10^{-5}=6.25*0.00001=0.0000625\)

Answer:

So we need to express \(6.25 * 10^{-5}\).

What is being used here is scientific notation, and when the exponent is negative, that means the number is less than 1.

As the exponent is -5, we have to move the coma 5 positions to the left (if it was positive we would have done that put to the right), so:

\(6.25 * 10^{-5}=0.0000625\)

If you don't understand what does it mean to move the coma to the left, see this example to understand it:

We move it one time from 6.25 --> 0.625

We move it two times from 6.25 --> 0.0625

We move it three times from 6.25 --> 0.00625

We move it four time from 6.25 --> 0.000625

What we are doing is adding 0 to the left and if the exponent was positive, we would add 0 to teh right.

So now we know that \(\boxed{6.25 * 10^{-5}=0.0000625}\)

Answer:

57

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A is incorrect because z=155, not 115

B is incorrect because angle y is not a right angle

C is incorrect because the sum is supposed to be 180, not 120

D is correct because vertical angles have the same measurement

Answer:

7x^5

Step-by-step explanation:

just is

Answer:

The answer is -\(-7x^{2}\)

Step-by-step explanation:

By finding alike terms and combing them, you can figure out that -\(-7x^{2}\) is the correct answer.

Answer:To find out how many pizzas Mrs. Smith should order, you need to divide the total number of slices of pizza needed by the number of slices in one pizza.

Since there are 1224 students in the grade 4 and 5 class and Mrs. Smith wants to give each student three slices of pizza, she will need 1224 students * 3 slices/student = <<1224*3=3672>>3672 slices of pizza.

If a medium pizza comes with eight slices, Mrs. Smith will need to order 3672 slices / 8 slices/pizza = <<3672/8=459>>459 medium pizzas.

Therefore, Mrs. Smith should order 459 medium pizzas for her pizza party.

The point of intersection for the two lines are P = 3i + 2j + 4k - 1/20(i + j + k). The size of the angle between the two lines is 52.29 degrees.

a) The point of intersection for the two lines can be found by setting their position vectors equal to each other and solving for lambda. The point of intersection (P) is given by:

P = 3i + 2j + 4k + lambda(i + j + k)

we can equate the corresponding components of the two position vectors:

3 + lambda = 2 + 21lambda

2 + lambda = 3 + lambda

4 + lambda = 1 + lambda

Simplifying the equations, we get:

lambda = -1/20

Plugging this value of lambda back into the equation for P, we find the point of intersection:

P = 3i + 2j + 4k - 1/20(i + j + k)

b) The angle between the two lines, we can use the dot product. The dot product of two vectors is given by the equation:

dot product = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| are the magnitudes of the vectors, and theta is the angle between them.

The direction vectors for the lines:

Direction vector for line 1 (d1) = i + j + k

Direction vector for line 2 (d2) = 2i + 3j + k

Calculating the magnitudes of the direction vectors:

||d1|| = sqrt(1^2 + 1^2 + 1^2) = sqrt(3)

||d2|| = sqrt(2^2 + 3^2 + 1^2) = sqrt(14)

Now, we can calculate the dot product of the direction vectors:

d1 · d2 = (1)(2) + (1)(3) + (1)(1) = 2 + 3 + 1 = 6

Using the dot product formula, we can find the angle:

6 = sqrt(3) sqrt(14) cos(theta)

cos(theta) = 6 / (sqrt(3) sqrt(14))

theta = arccos(6 / (sqrt(3) sqrt(14)))

theta= 52.29 degrees

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Answer:

The revised probabilities are;

The probability of finding soil with oil  = 0.8  

The probability of finding soil with good oil = 0.16

The probability of finding medium quality oil =  0.64

Step-by-step explanation:

The given probability of finding soil with high quality oil, P(QO) = 0.20

The probability of finding soil with medium-quality oil, P(OM) = 0.80

The probability of finding soil with no oil, P(ON) = 0.2

Therefore, given that the probability of finding soil with no oil = 0.2, we have;

The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil

P(OP) = 1 - 0.2 = 0.8

Which gives;

The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;

P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16

The probability of finding good oil = 0.16

Similarly;

The probability of finding medium quality oil P(FM) =  P(OM) × P(OP) = 0.8 × 0.8 = 0.64

Which gives the revised probability as follows;

The probability of finding soil with oil, P(OP) = 0.8  

The probability of finding soil with good oil, P(FG) = 0.16

The probability of finding medium quality oil, P(FM) =  0.64.                

Answer:

3 cm.

Step-by-step explanation:

Let's use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.In this case, we have:P = 16 cm (given)

l = k cm (given)

w = 5 cm (given)Substituting these values into the formula, we get:

16 cm = 2(k cm) + 2(5 cm)

Simplifying, we get:

16 cm = 2k cm + 10 cm

Subtracting 10 cm from both sides, we get:6 cm = 2k cm

Dividing both sides by 2, we get:

3 cm = k

Therefore, the value of k is 3 cm.

The number of people who prefer eggs is 35.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.

Let the number of people who prefer eggs be x.

21 people said they prefer oatmeal.

The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.

∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)

Thus, the number of people who prefer eggs is 35.

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Answer:

25 times 58

Step-by-step explanation:

guessed

-6 = 3x - 6y

4x = 4 + 5y

ok

x = (4 + 5y)/4

Substitution

-6 = 3[(4 + 5y)/4] - 6y

-6 = [12 + 15y]/4 - 6y

-6 + 6y = [12 + 15y]/4

-24 + 24y = 12 + 15y

24y - 15y = 12 + 24

9y = 36

y = 36/9

y = 4

x = (4 + 5(4))/4

x = [4 + 20)/4

x = 24/4

x = 6

Solution x = 6, y = 4

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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The region of the rectangle shape will be 52812.5 square meters.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A farmer with 650 meters of fencing wants to enclose a rectangular plot that borders a river.

The dimensions are x and 650 - 2x.

A = x(650 - 2x)

A = 650x - 2x²

Differentiate the function, then we have

A' = 0

650 - 4x = 0

x = 650 / 4

x = 162.5

Then the maximum area of the rectangle will be

A = 650 (162.5) - 2 (162.5)²

A = 52812.5 square meters

The maximum area of the rectangle will be 52812.5 square meters.

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The estimate of the mean number of hours worked by all university students within a 90% confidence interval is (21.25 hours, 24.75 hours). The error window is 1.25 hours.

We can use the formula below to determine the estimate with a 90% confidence interval:

Margin of error + sample mean equals Confidence Interval.

Information disclosed:

Student sample size (n): 64

Mean sample: 23 hours

5 hours is the population standard deviation.

Level of confidence: 90%

Let's begin by computing the margin of error using the following formula:

The margin of error is calculated as Critical Value * (Standard Deviation / Sample Size).

We may utilise the Z-distribution to get the crucial value since we are aware of the population standard deviation. The essential value for a 90% degree of confidence is 1.645 (found in the Z-table).

Margin of Error = 1.645 * (5 / 64) = 1.645 * (5 / 8), etc. Margin of Error = 1.645 * 0.625, etc.

As a result, the error window is roughly 1.03 hours.

Next, we may determine the confidence interval's lower and upper bounds:

Lower Bound is equal to Sample Mean - Margin of Error, or 23 - 1.03 = 21.97.

Upper Bound is equal to Sample Mean plus Margin of Error, which is 23 + 1.03 = 24.03.

The estimate for the mean number of hours worked by all university students within a 90% confidence interval is thus (21.97 hours, 24.03 hours). There is a 1.03 hour inaccuracy in the calculation.

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