Help I don’t know these

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

The answer is 3450

Step-by-step explanation:

I=Prt

P=??

I=115

r=5%

t=8 months which is two thirds of a year

115=P×5%×2/3

115=1/30P

P=3450

The width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Let's represent the width of the pool as x. Then, the length of the pool would be x + 6.

The total area of the pool and walk is given by:

Total area = (length + 2(4)) × (width + 2(4))

Total area = (x + 6 + 8) × (x + 4)

Total area = (x + 14) × (x + 4)

The area of the pool itself is given by:

Pool area = length × width

Pool area = x(x + 6)

Pool area = x² + 6x

We're told that the total area is 272 more than the area of the pool:

Total area = Pool area + 272

(x + 14) × (x + 4) = x² + 6x + 272

Expanding the left side of the equation:

x² + 18x + 56 = x² + 6x + 272

Simplifying the equation:

12x = 216

Solving for x:

x = 18

So the width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

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Full Question: A rectangular pool is surrounded by a walk 4 feet wide. The pool is six feet longer than its wide. If the total area is 272 ft² more than the area of the pool,what are the dimension of the pool?

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Reason:

There are 9 goals in 12 games, which produces the ratio 9:12. The order of the values is important since we list the goals first (because we have "goals" before "games" mentioned).

After setting up 9:12, we divide both parts by the GCF 3

9/3 = 3

12/3 = 4

The ratio 9:12 fully reduces to 3:4 as the final answer

The dominant strategy of Farmer Jones is to buy 10 cows.

To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:

buying either 10 cows or 20 cows.

Let's analyze the potential outcomes for each case:

Buying 10 cows:

If Farmer Smith buys 10 cows:  

The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

Buying 20 cows:

If Farmer Smith buys 10 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).

From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.

In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.

Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.

Formally, we can express this as follows:

For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.

Hence, Farmer Jones' dominant strategy is to buy 10 cows.

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Answer:

Step-by-step explanation:

I hate algebra personally so here's an easier to understand explanation. A ratio is a percent split.

Your ratio is 5:3. To find the percent you'll add the 2 numbers then put the originals over the sum to find the denominator for your fractions. 5+3 = 8 so for one side it is 5÷8 and the other is 3÷8 ---or--- 62.5%:37.5%

So all you do is multiply 240 on each side to find the new ratio.

For example …

62.5% × 240 ---or--- 0.625×240 = 150

And

32.5% × 240 ---or--- 0.325×240 = 90

Now quick tip for 2 number ratios is they ALWAYS add up to the original number. So you diddnt even have to do the second half. You can just find the difference.

Answer:

5.1

Step-by-step explanation:

Before we calculate  the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given P(−2, 7), and R(1, 0)

RP = √(1-(-2))²+(0-7)²

RP = √3²+(-7)²

RP = √9+49

RP =√58

To get the y value for point Q that is located two thirds the distance from point P to point R, this will give

PQ = y = 2/3 of √58

= 5.1

Answer: I Believe its 2.3

Step-by-step explanation:

P is located at (-2,7)

R is located at (1,0)

Look at the y coordinates

P(-2,7)  R(1,0)

7 to 0= distance of 7

multiply 2/3 by 7 = 4.7      (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)

Now plug in the info we know:

.y axis = 7 - 4.7 = 2.3

Hope this helped! Im taking the test and ill be back if this is wrong

Answer:

900

Step-by-step explanation:

There are 50(8/2) = 200 sheep.

So, there are 200(9/2) = 900 cows.

Answer:

20%

Step-by-step explanation:

if the 100% of the price is $250 and the discount is $50 then to find what percent $50 we multiply 100 by 50 then divide it with 250

100 × 50 ÷ 250 = 20

One water tank can be rented for 160 dollars, according to the provided statement.

The radius of a circular is the separation between its centre and perimeter. Always, the circumference is twice the radius.

The volume of the cylinder-shaped water tank is given by the formula

V = πr²h, where

r is the radius

h is the height.

Substituting the given values, we get:

V = π(4 feet)²(2 feet) = 32π cubic feet

The cost of renting the water tank is given by the product of the volume and the cost per cubic foot:

Cost = 5 dollars/cubic foot × 32π cubic feet

Multiplying these values, we get:

Cost = 160π dollars

Therefore, it costs 160π dollars to rent one water tank.

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Answer:

10cm, 5cm, 7cm.

Step-by-step explanation:

So basically what I did was I pretended the line was a ruler that was in centemeters, and all the lines were centimeters, so then I added it up to get my answer, as you can see in the picture

Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

When we divide 1/2 by 1/8, we get the answer as 4

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division

Here two fractions are given.

We need to divide  1/2 by 1/8

1/2 ÷ 1/8

(1/2)/(1/8)

(1/2)x (8/1)

4

Therefore, upon dividing 1/2 by 1/8 we get the answer as 4

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Answer:

.3750

Step-by-step explanation:

sorry if this is wrong. I don't understand

The value of the ratio x : y : z is 1/2 : /3 : 5/18

From the question, we have the following parameters that can be used in our computation:

x:y = 1/2:1/3 and y:z = 1/5:1/6

Express the ratio properly

So, we have the following representation

x : y = 1/2 : 1/3 and y : z = 1/5 : 1/6

Multiply the ratio y : z = 1/5 : 1/6 by 5/3

So, we have

y : z = 1/3 : 5/18

So, we have

x : y : y : z = 1/2 : 1/3 : 1/3 : 5/18

Remove the repetition

This gives

x : y : z = 1/2 : /3 : 5/18

Hence, the ratio is 1/2 : /3 : 5/18

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Answer:

5.5 pounds

Step-by-step explanation:

20.35/3.70=5.5

Using Linear Approximation, the estimate of cos(62°) - cos(60°) is approximately 0.530153 - 0.5 = 0.030153 (rounded to six decimal places).

To use Linear Approximation to estimate cos(62°) - cos(60°), we'll follow these steps:

1. Choose a point near 62° where the cosine function is easier to compute, such as 60° (which is in radians, π/3).
2. Find the derivative of the cosine function: d/dx(cos(x)) = -sin(x).
3. Evaluate the derivative at the chosen point (60°): -sin(60°) = -sin(π/3) = -√3/2.
4. Use the linear approximation formula: Δy ≈ f'(x0)Δx, where Δy is the change in y (cosine values), f'(x0) is the derivative at the chosen point, and Δx is the change in x (angle).
5. Compute Δx: 62° - 60° = 2° (convert to radians: 2° * π/180 ≈ 0.0349 radians).
6. Plug the values into the linear approximation formula: Δy ≈ (-√3/2)(0.0349) ≈ -0.030153.
7. Now, subtract the linear approximation from the original cosine value at 60°: cos(60°) - Δy = cos(π/3) - (-0.030153) = 1/2 + 0.030153 ≈ 0.530153.

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The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer:

28.095 cm^2

Explanation:

To determine the area of the given shape, we have to determine the area of the complete rectangle, then subtract the areas of each of the cut-out semi-circles as seen below;

From the shape, let's determine the length and width of the rectangle;

Length(l) = 2 cm + 5 cm + 2 cm = 9 cm

Width(w) = 1 cm + 4 cm + 1 cm = 6 cm

So the area of the complete rectangle will be;

Let's now determine the area of the top semi-circle given that the radius is 2cm (radius = diameter/2 = 4/2 = 2cm);

Given that the two semi-circles by the side of the rectangle have the same radius(r) which is 2.5cm (r = diameter/2 = 5/2 = 2.5cm), let's go ahead and determine their area;

So the area of the shape will be;

Therefore, the area of the shape is 28.095 cm^2

Perimeter is the sum of all the sides of a figure. For a rectangle with width 2cm and perimeter 40cm, the length will be 18 cm

For rectangle there are four sides. The opposite sides are equal. If length is denoted as l and width is denoted as b, the perimeter will be l+l+b+b

So perimeter = 2l + 2b = 2(l +b)

Here perimeter is given as 40cm and width is 2cm.

Substituting in the equation for perimeter

 p = 2 (l +b)

40 = 2( l + 2)

40/2 = l +2

20 = l + 2

l = 20-2 = 18

So, the length of the rectangle will be 18 cm

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Answer:

16 weeks

Step-by-step explanation:

Set up a proportion with the equation.

a = 2w

8

2 x 8= 16 then 16/1=16

so she was at school for 16 weeks.

Viktor is in the 60th percentile, which is 85, while the percentile for 71 is 26.666.

Percentile is defined as the value below which a given percentage falls under. Ben, for instance, is the fourth tallest child in a group of 20, and eighty percent of the kids are shorter than you. As a result, Ben is in the 80th percentile.

We have the data

Sort the data as follows: 58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96

employing the percentile formula,

Percentile is calculated as follows: 71 Percentile

(4 / 15)*100 Percentile

26.666 Percentile = (Number of Values Below "x" / Total Number of Values) 100

Consequently, 71's percentile is equal to 26.666.

Identifying the rank

Thus, the ranking is 0.6.

To find the rank for viktor

Find the percentile using the formula,

Percentile = Rank × Total number of the data set

Percentile = 0.6 × 15

Percentile = 9

Now, counting 9 values from left to right we reach 85, and we can say that all the values below 85 will come under the 60th percentile. In other words, 60% of the values are below 85.

The 60th percentile is 85

Thus viktor is in 60th percentile is 85

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According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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Inequality is 2x+178 >=2000. and Solution set is x>=911 i.e., the no: of cans that Shane should have collected

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has different meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are shared.

Lifetime Inequality (the distribution of incomes across households or individuals over a person's lifetime), Inequality of Wealth (the distribution of wealth across households or individuals at a particular point in time), and Inequality of Opportunity (the impact on income of factors that people cannot control) are all related concepts.

Let the number of cans collected by Shane = x and the number of cans collected by Abha = y.

It is given that, Abha collected 178 cans more than Shane.

So, we have, .

Since, they both have to collect cans no less than 2000 i.e. greater than or equal to 2000.

So, the equation representing the situation is,

Shane + Abha ≥ 2000

i.e. y + x ≥ 2000

Thus, by substitution we have,

Inequality for the number of cans Shane collected is .2x+178 >=2000.

Solution set of the inequality is x>=911.

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The given function f(x) = (x^2 - 16) / (\(x^2 + 16\)) simplifies to f(x) = 1 / (\(x^2 + 16\)).

To analyze the given function f(x) = \((x^2 - 16) / (x^2 + 16),\) we will simplify the expression and perform further calculations:

First, let's factor the numerator and denominator to simplify the expression:

f(x) =\((x^2 - 16) / (x^2 + 16),\)

The numerator can be factored as the difference of squares:

\(x^2 - 16\)= (x + 4)(x - 4)

The denominator is already in its simplest form.

Now we can rewrite the function as:

f(x) = [(x + 4)(x - 4)] / (\(x^2 + 16\))

Next, we notice that (x + 4)(x - 4) appears in both the numerator and denominator. Therefore, we can cancel out this common factor:

f(x) = (x + 4)(x - 4) / (\(x^2 + 16\)) ÷ (x + 4)(x - 4)

(x + 4)(x - 4) in the numerator and denominator cancels out, resulting in:

f(x) = 1 / (\(x^2 + 16\))

Now we have the simplified form of the function f(x) as f(x) = 1 / (\(x^2 + 16\)).

To summarize, the given function f(x) simplifies to f(x) = 1 / (\(x^2 + 16\)) after factoring and canceling out the common terms.

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Answer:

Step-by-step explanation:

If it is irrational, it can never be rational unless it is acted upon by something else like a power.

Pi, no matter what is done to it, can never be rational.  Once a number is declared as irrational, that is what it remains.