i dont understand how to do this

Answer:

Yes it is a rational number

There is 0.25 or 25% of probability that a senior is going to college and plays sports

We can start by using the given information to construct a probability table:

College   Work  Gap    year  Total

Sports team    50    30      5      85

Not on sports team  90     10     55      155

Total     140    40        60     200

From the table, we see that there are 50 seniors going to college who are on their school's sports teams. Therefore, the probability that a senior is going to college and plays sports is:

P(college and sports) = number of seniors going to college and on sports team / total number of seniors

= 50 / 200

= 0.25

Therefore, the probability that a senior is going to college and plays sports is 0.25 or 25%.

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First convert 4.5 hours to minutes

4.5 hours = 270 minutes

6:30 = ?:270

Divide 270 and 30

270/30 = 9

Then multiply 6 and 9

9*6 = 54

The event planner can set up 54 tables in 4.5 hours(270 minutes)

54 tables

If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x) = log_b(x),\) where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x) = log_b(x)\) is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x)=log_b(x)\). where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x)=log_b(x)\). is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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The number of children and adults using the swimming pool is x=318, and y=235 respectively.

Given that,

Swimming pool on a certain hot summer day 553 people use the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1085.25.

Here,
let the number of children be x and the number of adults be y,
According to the conditions,
x + y = 553,  - - - - - - (1)
1.75x + 2.25y = 1085.25 - -- - - - - -(2)
Solving the above equations by substitution of x from 1 in equation 2.
1.75[y - 553] + 2.25y = 1085.25
x = 318
Now,
x = 553 - 318
x = 235

Thus, the number of children and adults using the swimming pool is x=318, and y=235 respectively.

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24.07 rounded to the nearest tenth is 24.1

Answer:

-(10/7)

Step-by-step explanation:

See attached graphic. The slope of the Green Line is cut off in the problem photo, but can be calculated from the graph to find the slope of the Red Line. The answer options are on drugs; pick the one that looks closest.

Answer:

-4/3

Step-by-step explanation:

Answer:

her speed in still water = 11 km/hour

the speed of the current = 9 km/hour

Step-by-step explanation:

x = Ritu's speed of rowing.

y = the sites of the river water flowing

x + y = 20 km / 2 hours = 10 km / hour

x - y = 4 km / 2 hours = 2 km / hour

x = 2 + y

2 + y + y = 20

2y = 18

y = 9 km/hour

x = 2 + y = 2 + 9 = 11 km/hour

Speed of water while upstream is (x + y) km/hr,

downstream is (x – y) km/hr,

2(x + y) = 20 x + y = 10 ………… (i)

2(x – y) = 4 x – y = 2 …………… (ii)

x + y = 10

x - y = 2

_______________

x = 12

\(x = \frac{12}{2} = 6\)

(ii), Substituting the value,

(i), x + y = 10 6 + y = 10 y = 10 – 6

∴ y = 4

∴ Speed of Ritu in still water, x = 6 km/hr. in current water, y = 4 km/hr.

Step-by-step explanation:

what do u mean about this question

The equation relating L to D will be L = 12 + D.

From the information, the construction crew is lengthening a road that originally measured 12 miles and the crew is adding one mile to the road each day.

Let L be the length (in miles) after D days of construction.

Therefore, the equation will be:

L = 12 + D

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Answer:

The diameter of a circle is twice the length of its radius.​

Step-by-step explanation:

Or you can say double

Answer:

1

Step-by-step explanation:

a//b is the correct answer plz add this as brainliest

Answer:

A ll B. hope this helps

Step-by-step explanation:

- Zombie

Answer:

17^2 or 289

Step-by-step explanation:

Answer:

Hope it helps if its wrong I'm really sorry for getting you the wrong answer

Step-by-step explanation:

1.= 3x+2

2.= 4x+2

3.=5x+11

4.=12x+10

5.=4x+21

The correct answer is b. The Shewart Xbar Control chart parameters are as follows: Center Line (CLX): 780.5. Upper Control Limit (UCLX): 817.46.

Lower Control Limit (LCLX): 743.54

These control chart parameters are used to monitor the process mean (Xbar) over time. The center line represents the average of the sample means, while the upper and lower control limits define the acceptable range of variation. If any sample mean falls outside these limits, it suggests that the process may be out of control and requires investigation.

In this case, the given data shows that the sum of the 10 samples is ΣX = 7805, which means the average of the sample means (CLX) is 780.5. The control limits (UCLX and LCLX) are calculated based on the historical data and provide boundaries within which the process mean should typically fall. By monitoring the Xbar control chart, one can identify any potential shifts or trends in the process mean and take appropriate actions to maintain control and quality.

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The option that generates the maximum time delay is `preascaling =1024`.

In electronics, a prescaler is a circuit that divides a signal's frequency by a specific value. As a result, it is used to calculate frequency measurements. The prescaler is capable of dividing the input frequency to a programmable lower frequency that can be more easily dealt with by a counter circuit.

To configure the preascaling, the corresponding bits in the TCCR1B register must be set in CTC mode. The delay formula is as follows:

Delay = Timer resolution x Preascaling value

The maximum time delay is the time required to wait before the signal can be processed. It is the largest time that a system may delay the signal.

The option that generates the maximum time delay is `preascaling =1024`.

Since the delay formula is Delay = Timer resolution x Preascaling value.

When the Preascaling value is set to 1024, the maximum delay is achieved, according to the formula.

This implies that the maximum time delay will be generated by the `preascaling =1024` option. Therefore, option c is correct.

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The regular polygon has 18 sides.

To find the number of sides of a regular polygon given the relationship between the measures of its exterior and interior angles, we can set up an equation using the properties of polygons.

Let's assume the measure of each interior angle of the regular polygon is represented by "x" degrees. According to the given information, the measure of each exterior angle is 1/8 times the measure of the interior angle. Therefore, the measure of each exterior angle is (1/8)x degrees.

In any polygon, the sum of all exterior angles is always 360 degrees. Since our regular polygon has "n" sides, the sum of all the exterior angles will be equal to 360 degrees.

We can now set up an equation using the information:

(1/8)x * n = 360

To solve for "n," we can multiply both sides of the equation by 8 to eliminate the fraction:

x * n = 8 * 360

x * n = 2880

Since "x" represents the measure of each interior angle and "n" represents the number of sides, we know that the sum of the interior angles in any polygon is given by the formula (n-2) * 180 degrees.

Therefore, we can set up another equation using this formula:

x * n = (n-2) * 180

Substituting the value of x * n from the previous equation:

2880 = (n-2) * 180

Now, we can solve for "n" by dividing both sides of the equation by 180:

2880/180 = n - 2

16 = n - 2

Adding 2 to both sides:

16 + 2 = n

18 = n

Hence, the regular polygon has 18 sides.

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The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

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Answer:

Step-by-step explanation:

a = b - 7000

0.05a + 0.07b = 1690

Since we have a "value" for a, we can substitute that "value" in place of a.

0.05(b - 7000) + 0.07b = 1690

0.05b - 350 + 0.07b = 1690

0.12b = 2040

b = $17,000

Answer:

a

Step-by-step explanation:

The answer to the given question about radius of the cylinder is 5 in.

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. In this problem, we are given that the volume of the cylinder is 169πin^3 and the height is 1 in. We can substitute these values into the formula and solve for the radius:

V = πr^2h

169π = πr^2(1)

169 = r^2

r = ±√169

r = ±13

Since the radius cannot be negative, the only valid solution is r = 13. However, we are asked to simplify our answer, so we can take the positive square root of 169 to get:

r = √169

r = 13

Therefore, the radius of the cylinder is 5 in.

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The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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the quotient of the division operation is 2x² + 10x - 5. This can be solved using the concept of synthetic division.

The term "synthetic division" refers to a streamlined method of dividing a polynomial with another polynomial equation of degree 1, which is typically used to find the zeroes of polynomials. This division method is carried out manually and requires less calculation effort than the long division method.

The equation (2x³+4x²-35x+15) divided by (x-3).

To find the division to solve the given equation following all the steps given below.

Step 1: Divide 2x³ by x, we obtain a quotient value of 2x²; multiply the quotient value by the divisor and Subtract to obtain a dividend of 10x² - 35x + 15.

Step 2: Divide 10x² by x, we obtain a quotient value of 10x; multiply the quotient value by the divisor and Subtract to obtain a dividend of - 5x + 15

Step 3: Divide - 5x by x, we obtain a quotient value of - 5; multiply the quotient value by the divisor and add to obtain 0.

Hence, the quotient of the division operation is 2x² + 10x - 5.

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With the help of two variable equations, the two numbers are 8 and 16.

There are three ways to solve equations-

1. Substitution method

2. Elimination method

3. Graphing method.

Now, let the number be x and y.

Therefore, the sum of two numbers is twenty-four,  x+y= 24

Now, given that,

3x-4=2y-12

3x-2y=-8

2y-3x=8

Now, substituting the value of y in the equation

2(24-x)-3x=8

40=5x

x=8

Therefore, the two numbers are 8 and 16.

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Answer:

80 feet

Step-by-step explanation:

60+20=80

Answer:

The simple answer, "Yes"

Answer:

Point slope form of the equations:

y = -3x + 8

y = 2x - 2

Solution to the system of equations:

(x, y) ==> (2, 4)

Step-by-step explanation:

6x + 2y = 16

2x - y = 2

6x + 2y = 16

2(2x - y = 2)  ==> 4x - 2y = 4

6x + 2y = 16

4x - 2y = 4

10x = 20

/10     /10

x = 2

Now, we solve for y:

6x + 2y = 16

6(2) + 2y = 16

12 + 2y = 16

-12         -12

2y = 4

/2   /2

y = 2

(x, y) ==> (2, 2)

Point-slope forms:

6x + 2y = 16

-6x          -6x

2y = -6x + 16

/2        /2

y = -3x + 8

2x - y = 2

-2x      -2x

-1y = -2x + 2

/-1       -1

y = 2x - 2

Hope this helps!

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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The Probability of reverse alphabetical order is 1.04x10^-26, Probability of z being the first letter is 0.0385, Probability of z preceding a is 0.5, Probability of a preceding z is 0.0385, Probability of a, m, z in order is 0.00274, Probability of m, n, o in original positions is 0.00274.

The probability that the permutation consists of the letters in reverse alphabetic order is 1/(26!), which is approximately 1.04 x 10^-26. This is because there is only one permutation out of the 26! possible permutations that satisfies this condition.

The probability that z is the first letter of the permutation is 1/26, which is approximately 0.0385. This is because there is only one way to select z to be the first letter out of the 26 possible choices.

The probability that z precedes a in the permutation is 1/2, which is 0.5. This is because in any permutation of the 26 letters, z and a are equally likely to appear before or after each other.

The probability that a immediately precedes z in the permutation is (24!)/(26!), which is approximately 0.0385. This is because once the positions of a and z are fixed in the permutation, there are 24! ways to arrange the remaining 24 letters, out of the 26! possible permutations.

The probability that a immediately precedes m, which immediately precedes z in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of a, m, and z are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.

The probability that m, n, and o are in their original places in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of m, n, and o are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.

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The time it takes to empty the tank is given as follows:

1.85 minutes.

The volume of a cylinder of radius r and height h is given by the equation presented as follows, which the square of the radius is multiplied by π and the height.

V = πr²h.

The parameters for this problem are given as follows:

Hence the volume of the cylinder in ft³ is given as follows:

V = π x 0.7² x 3

V = 4.62 ft³.

Oil is drained at a rate of 2.5 ft³ per minute, hence the time it takes to drain the oil is given as follows:

4.62/2.5 = 1.85 minutes.

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