Prove that if G is a cyclic group of order m and d | m, then G must have a subgroup of

order d

:Answer: $90000

i = prt (interest = principle x rate x time)

i = 60000 x 0.025 x 20

i = $30000 interest

b = p + i (balance = principle + interest)

b = 60000 + 30000

b = $90000 balance

Considering the given graphs, the ordered pair that represents (f + g)(6) is given by:

C. (6,14)

This value is given by:

(f + g)(6) = f(6) + g(6).

The ordered pair is: (6, f(6)).

Looking at the graphs, we have that:

Then:

(f + g)(6) = f(6) + g(6) = 6 + 8 = 14.

Which means that option C is correct.

More can be learned about functions at https://brainly.com/question/25537936

#SPJ1

The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

To know more about triangles, refer:

https://brainly.com/question/1675117

#SPJ4

To determine the number of units that should be ordered, we need to consider the lead time, demand, and the desired probability of not stocking out.

1. First, let's calculate the demand during the lead time. Since the lead time is 7 days and the average daily demand is 20 units, the demand during the lead time is 7 days * 20 units/day = 140 units.

2. Next, we calculate the safety stock needed to achieve the 95% probability of not stocking out. The safety stock is the product of the standard deviation and the Z-score corresponding to the desired service level. For a 95% probability, the Z-score is 1.65. So, the safety stock is 1.65 * 5 units = 8.25 units (rounding up to 9 units).

3. Now, we calculate the reorder point, which is the sum of the demand during the lead time and the safety stock. Reorder point = 140 units + 9 units = 149 units.

4. Finally, we subtract the current on-hand units and the units sold today from the reorder point to determine the number of units to be ordered. Units to be ordered = 149 units - 180 units + 20 units = -11 units.

Since we cannot order a negative number of units, we conclude that no units should be ordered in this scenario.

Based on the given information and calculations, no units should be ordered in this case as there is no need to replenish the stock.

To know more about probability , visit ;

https://brainly.com/question/30884104

#SPJ11

Answer: $1225.50

Step-by-step explanation:

Purchase price = $1075

Discount Percent = 14%

Discount = 14% × $1075

= 0.14 × $1075

= $150.50

Marked price = Purchase price + Discount

= $1075 + $150.50

= $1225.50

Answer:

∠PMN; ∠M

Hope this helps!:)

Answer:

A. Sample space = 6

B. 0.17

C. No

D. Yes

Step-by-step explanation:

A. The sample space of an experiment is the set of all possible outcomes of that experiment.

since there are three colours and 2 outcomes for a coin toss,

sample space = 3 * 2 = 6

B. Probability of picking a green first = 4/12 = 1/3

probability of a tail = 1/2

Probability of a green and a tail, P(A) = 1/3 * 1/2 = 0.17

C. No.

Considering the two events;

A; green card is picked first

C ; a green or red card is picked

There is an intersection point for the two events.  Therefore, they are not mutually exclusive.

D. Yes.

Considering the two events;

A; green card is picked first

B ; a blue or red card is picked

There is no intersection point for the two events. Therefore, they are mutually exclusive.

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

Learn more about Surveys here:

brainly.com/question/13532910

#SPJ4

Answer:

7 Hours

Step-by-step explanation:

Because it takes Ryan 10hrs to finish the job, and with both Ryan and Molly it takes 3hrs to finish the job, so subtract 10 minus 3 and you get 7, therefore it takes Molly 7hrs to finish the job

Hope it's right

Answer:

y=3
x=14

Step-by-step explanation:

2x - 8y = 4

x = 3y + 5
2(3y + 5) - 8y = 4
expand
6y+10-8y=4
simplify, collecting like terms
-2y+10=4
take away 10 to get y on its own
-2y=-6
divide -2
y=3
x=3(3)+5
9+5=14

Answer:

x = 14

y = 3

Step-by-step explanation:

\(2x-8y=4\\2(3y+5)-8y=4\\6y+10-8y=4\\-2y+10=4\\-2y=-6\\y=3\\\\x=3y+5\\x=3(3)+5\\x=9+5\\x=14\)

Answer:

Step-by-step explanation:

she runs 1 lap every 4 min so:

4min = 1lap

24min = n lap

24÷4=6

so n=6

One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

Learn more about rate of change here:

https://brainly.com/question/24873957

#SPJ4

Answer:

You did not include the graphs, but I can explain how the graph is and so you can recognize it.

1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.

2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.

3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π

That means that the values repeat every 4π interval (which is the same that 720°)

4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).

That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...

5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).

Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

The average speed would be 10.1 kilometers per hour.

Step-by-step explanation:

If we convert both times into minutes, it will make solving this much easier. After finding the speed for both legs, we can find the average by adding the two values together and dividing by 2. This results in 10.11430568 or can be rounded to 10.1.

On its December 31, 2020 statement of financial position, Eastern Inc. should report a lease liability of $303,264.

To calculate the lease liability, we need to determine the present value of the lease payments. The annual lease payment is $80,000, and the lease term is 6 years. We are given two discount rates: the incremental borrowing rate of 11% and the interest rate implicit in the lease payments of 10%.

Using the present value of an annuity due formula, we can calculate the present value of the lease payments at both discount rates:

Present value of annuity due = Annual lease payment x Present value factor

At a discount rate of 10%:

Present value factor = 4.7908 (given)

Present value of annuity due = $80,000 x 4.7908 = $383,264

At a discount rate of 11%:

Present value factor = 4.6959 (given)

Present value of annuity due = $80,000 x 4.6959 = $375,672

Since the lease is accounted for as a finance lease, the lease liability will be the lower of the two present values, which is $375,672.

Rounding this amount to the nearest dollar, the lease liability to be reported on Eastern's December 31, 2020 statement of financial position is $303,264.

To know more about lease accounting under IFRS, refer here:

https://brainly.com/question/30237246#

#SPJ11

The mean exam score of student 2 for all four exams is 87.5.  Based on the information provided, you have a spreadsheet containing the scores of 50 students on 4 different exams. To calculate the mean exam score for Student 2 across all four exams, you need to follow these steps:

1. Locate the scores for Student 2 on all four exams. They should be on the first sheet of the spreadsheet and likely in a row or column corresponding to Student 2.

2. Add the scores of Student 2 for all four exams together. For example, if their scores were 80, 85, 90, and 95, the total would be 80 + 85 + 90 + 95 = 350.

3. To calculate the mean, divide the total score (from step 2) by the number of exams (which is 4 in this case). Using the example scores above, the mean would be 350 / 4 = 87.5.

So, the mean exam score for Student 2 for all four exams is 87.5. Keep in mind that this example assumes hypothetical exam scores; you will need to replace them with the actual scores found in the spreadsheet to obtain the correct mean score for Student 2.

Learn more about spreadsheet here:

https://brainly.com/question/8284022

#SPJ11

Answer:

7. 225, 315

Step-by-step explanation:

The correct answer is option 1: 8.46 g and 8.80 g. The given information is: The weights of certain machine components are normally distributed with a mean of 8.61 g and a standard deviation of 0.07 g. We need to find the two weights that separate the top 3% and the bottom 3%.Solution:The given distribution is a normal distribution, which is continuous and symmetric about its mean µ= 8.61 g. The standard deviation is given as σ= 0.07 g. Here, it is required to calculate the two weights that separate the top 3% and the bottom 3%.

Here, we can use the Z-score formula which is given by: Z = (X - µ)/σWhere, Z is the standardized score; X is the raw score or variable, µ is the mean of the population, and σ is the standard deviation of the population.Using the Z-score formula, we can find the Z-scores for the given data as follows: For top 3%, the Z-score is Z₃ = 1.88 (approx.)For bottom 3%, the Z-score is Z₁ = -1.88 (approx.)

The value of Z is calculated using the Z-table, which gives the area to the left of the Z-score. Since the area required is in the tails of the distribution, we can calculate it using the following relation:area in the tail = (100% - desired area)/2area in the tail = (100% - 3%)/2 = 48.5%Using the Z-score formula, we can find the two weights that separate the top 3% and the bottom 3% as follows:X = Zσ + µFor top 3%: X₃ = Z₃σ + µ = 1.88(0.07) + 8.61= 8.80 g (approx.)X₁ = Z₁σ + µ = -1.88(0.07) + 8.61= 8.46 g (approx.)Therefore, the two weights that separate the top 3% and the bottom 3% are 8.46 g and 8.80 g.

To know more about distributed visit:-

https://brainly.com/question/29332830

#SPJ11

Answer:

I honestly don't understand what is being asked

Answer:

25

Step-by-step explanation:

B is second in the English alphabet and E is on the 5th positions on this same English alphabet

Answer:

Parallelogram

Step-by-step explanation:

Answer:

(x-3)^2 = 3

Step-by-step explanation:

Answer:

The function y=-(x+5)^2+4 is a transformation of the parent function y=x^2. There are three transformations that have been applied to the parent function to obtain the new function:

1. Reflection about the x-axis: The negative sign in front of the function means that the graph of the function has been reflected about the x-axis. This means that every point on the original graph has been reflected across the x-axis to create a new point on the transformed graph.

2. Horizontal shift: The function has been shifted left by 5 units. This means that every point on the original graph has been moved 5 units to the left to create a new point on the transformed graph.

3. Vertical shift: The function has been shifted up by 4 units. This means that every point on the original graph has been moved 4 units up to create a new point on the transformed graph.

Together, these transformations result in a new graph that is a reflection of the parent function about the x-axis, shifted 5 units to the left, and shifted 4 units up. The vertex of the parabola has moved from the origin (0,0) to the point (-5,4). The shape of the parabola remains the same, but its position and orientation have been altered by the transformations.

The mean fluoride concentration in the sample is approximately 0.6024 mg/l, and the 90% confidence interval for the average fluoride concentration is (0.5498, 0.6549) mg/l.

To determine the mean and 90% confidence interval for the average fluoride concentration in the sample, we can calculate the sample mean and the margin of error.

First, calculate the sample mean:

Mean = (0.611 + 0.591 + 0.611 + 0.589 + 0.611) / 5 = 0.6024 mg/l

Next, calculate the standard deviation of the sample:

Standard Deviation = sqrt(((0.611-0.6024)^2 + (0.591-0.6024)^2 + (0.611-0.6024)^2 + (0.589-0.6024)^2 + (0.611-0.6024)^2) / (5-1))

= sqrt(0.0002744 + 0.0006272 + 0.0002744 + 0.0007928 + 0.0002744)

= sqrt(0.0022432)

= 0.0473 mg/l (approximately)

Next, calculate the margin of error using the formula:

Margin of Error = (Critical Value) * (Standard Deviation / sqrt(n))

Since we want a 90% confidence interval, the critical value can be obtained from the t-distribution table for n-1 degrees of freedom. For a sample size of 5 and a 90% confidence level, the critical value is approximately 2.776.

Margin of Error = 2.776 * (0.0473 / sqrt(5))

= 0.0526 mg/l (approximately)

Finally, calculate the confidence interval:

Confidence Interval = (Mean - Margin of Error, Mean + Margin of Error)

= (0.6024 - 0.0526, 0.6024 + 0.0526)

= (0.5498, 0.6549)

Therefore, the mean fluoride concentration in the sample is approximately 0.6024 mg/l, and the 90% confidence interval for the average fluoride concentration is (0.5498, 0.6549) mg/l.

Learn more about sample mean here:

https://brainly.com/question/31736853

#SPJ11

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

Visit here to learn more about Inflection point:

brainly.com/question/30763521

#SPJ11

Answer:

8

Step-by-step explanation:

apples are  2 x

bananas are  x -3

Oranges are  x

Total number of  Fruits  = 2 x + x + x -3 =29

3x+x = 29 +3

4x =32

x = 32/4

  =8 Oranges

Answer:

is this the exact question

Answer:

25y+27x

Step-by-step explanation:

You cannot factor this any further