Brian can run 15 miles per hour. He ran 15 minutes yesterday. How many miles did brian run?

Answer:

mean is the average value in the list.

first you add all number, then divide that value by the total number in the list

lets say (2,3,4,5)

you add 2+3+4+5 = 15 / 4

4 is the count

you'll get the average.

medium is the middle value in the list, but you should list from least to greatest

mode is repeated value in the list

Answer:

Step-by-step explanation:

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Answer:

6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer: (2x-1)(x+3)

Step-by-step explanation:

(2x-1)(x+3)

Use the crossmethod to find the solution

Answer:

9.323 units

Step-by-step explanation:

radius = 29.76

https://www,omnicalculator,com/math/height-of-cone

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

The perimeter is the sum of the lengths of the sides of a closed plane figure.

The total distance from the outside of the closed figure is called the perimeter. Sum of all sides of a closed figure. The formula is: perimeter = sum of all sides

The units for the perimeter of a polygon remain the same as the units for each side. If the sides have different units, convert them to the same units and then find the perimeter.

A regular polygon has all equal sides. So if the polygon has 'n' sides, add the same length 'n' times. Perimeter of regular polygon = (length of one side) × number of sides

Example: Perimeter of regular hexagon is 6 × length of side

Total distance around polygon is. It can be found by summing all the sides of the polygon. Rectangle perimeter = 2( length + width)

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\(\boxed{B.\:5x\:+\:12}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\(4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

The first problem is asking for the number of combinations which is 20, while the second problem is asking for the number of permutations which is 336.

In the first problem, the homeowners' association needs to form a committee of 3 people from a board of 6 supervisors. Here, the order in which the committee members are selected does not matter, and only the combination of individuals is important. Therefore, the problem is asking for the number of combinations, and the formula to calculate it is nCr = n! / (r!(n-r)!), where n is the total number of items (6 supervisors) and r is the number of items to be selected (3 committee members). Thus, the answer to the first problem is the number of combinations: 6C3 = 6! / (3!(6-3)!) = 6! / (3!3!) = (6x5x4) / (3x2x1) = 20.

In the second problem, the director needs to cast the male roles of Romeo, Mercutio, and Benvolio from a pool of 8 actors. Here, the order in which the actors are selected matters, as each actor will be assigned to a specific role. Therefore, the problem is asking for the number of permutations, and the formula to calculate it is nPr = n! / (n-r)!, where n is the total number of items (8 actors) and r is the number of items to be selected (3 roles). Thus, the answer to the second problem is the number of permutations: 8P3 = 8! / (8-3)! = 8! / 5! = (8x7x6) / (3x2x1) = 336.

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Answer:

Step-by-step explanation:

In calculator the answer is 1703.66666667

Answer:

1,703.6

Step-by-step explanation:

Therefore, we have indirectly proven that if n is an odd number, and its negation is false, then the original statement "if n is an odd number" is true.

To construct an indirect proof of the statement "if n is an odd number," we assume the negation of the statement, which is "n is not an odd number" or "n is an even number."

In an indirect proof, we aim to derive a contradiction from this assumption. Therefore, we will show that assuming n is an even number leads to a contradiction.

Assume n is an even number. By definition, an even number can be written as 2k, where k is an integer.

Since n is an even number, we can write it as n = 2k for some integer k.

Now, we can consider the parity of n. If n is an even number, it can be divided by 2 without a remainder, which means n is divisible by 2.

However, this contradicts the initial assumption that n is an odd number. By definition, an odd number cannot be divided by 2 without a remainder.

Since assuming n is an even number leads to a contradiction, we can conclude that the negation of the statement "n is not an odd number" is false.

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Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

Answer:

12 + 3x - 4 I think

Step-by-step explanation:

The volume of the rectangular prism is 386.1 cubic meters.

To find the volume of a rectangular prism, we need to multiply its length, width, and height. In this case, the length is 22 m, the width is 5.5 m, and the height is 3.1 m. Therefore, we can write:

Volume = length x width x height

Volume = 22 m x 5.5 m x 3.1 m

Volume = 386.1 cubic meters

Therefore, the volume of the rectangular prism is 386.1 cubic meters.

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Answer:

Step-by-step explanation:

The GCF of 8 and 9 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

9 ÷ 1 = 9

The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 9 = 8 : 9

The measure of RS to the nearest hundredth is 23.09 m

From the given figure, we have the following parameters

Adjacent to <R = RS

hypotenuse = 20cm

Using the theorem;

cos theta = opp/hyp

cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30

RS =23.094 m

Hence the measure of RS to the nearest hundredth is 23.09 m

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To solve this problem, we can use the concept of the sampling distribution of the sample mean. The mean number of cups of coffee consumed in a day by all occupants is 2.0 with a standard deviation of 0.6.  Since the sample size is large (125 employees) and the population standard deviation is known, we can approximate the sampling distribution of the sample mean as a normal distribution.

The mean of the sampling distribution is equal to the population mean, which is 2.0 cups per day  Now, we need to calculate the z-score for the value of 240 cups per day using the formula:

z = (x - μ) / σ,

where x is the desired value (240 cups per day), μ is the mean of the sampling distribution (2.0 cups per day), and σ is the standard deviation of the sampling distribution (0.6 / sqrt(125)).

Plugging in the values, we have:

z = (240 - 2) / (0.6 / sqrt(125)) ≈ 58.01.

Finally, we can use a standard normal distribution table or a calculator to find the probability of obtaining a z-score greater than 58.01. However, since this z-score is extremely large, the probability will be very close to zero.

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To solve inequalities with fractions and variables in the denominator, multiply both sides of the inequality by the least common multiple (LCM) of the denominators and solve the resulting equation.

To solve inequalities with fractions and variables in the denominator, follow these steps:

1. Clear the denominator: Multiply both sides of the inequality by the least common multiple (LCM) of the denominators to eliminate the fractions. This step helps in simplifying the inequality.

2. Simplify and combine terms: Distribute and simplify any terms resulting from multiplying through by the LCM. Combine like terms if necessary.

3. Solve as a regular inequality: Treat the resulting inequality as a regular inequality without fractions. Use algebraic techniques to isolate the variable on one side of the inequality sign.

4. Determine the direction of the inequality: Determine the direction of the inequality by considering the signs of any coefficients or variables in the simplified inequality. If the coefficient of the variable is positive, the direction of the inequality remains the same. If the coefficient is negative, the direction of the inequality is reversed.

5. Express the solution: Write the solution as an inequality or as an interval, depending on the context of the problem.

It's important to note that when multiplying both sides of an inequality by a negative number, the direction of the inequality needs to be reversed.

Example: Solve the inequality (3/x) - (2/5) ≥ 1

1. Clear the denominator: Multiply both sides by 5x, which is the LCM of the denominators:

5x * [(3/x) - (2/5)] ≥ 5x * 1

Simplifying, we get:

15 - (2x) ≥ 5x

2. Simplify and combine terms:

15 - 2x ≥ 5x

3. Solve as a regular inequality:

Add 2x to both sides to isolate the variable:

15 ≥ 7x

4. Determine the direction of the inequality:

Since the coefficient of x is positive (7), the direction remains the same.

5. Express the solution:

Divide both sides by 7 to solve for x:

15/7 ≥ x

The solution is x ≤ 15/7.

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At the critical frequencies in Figure 17-69, the phase angle between the applied voltage and the current can be determined. Additionally, the phase angle at resonance can also be determined.

The phase angle between the applied voltage and the current at the critical frequencies can be determined by examining the impedance characteristics of the circuit in Figure 17-69. At critical frequencies, the reactance of the circuit elements is equal to the resistance. This results in a condition where the circuit is purely resistive.

At a purely resistive condition, the phase angle between the voltage and current is zero degrees. This means that the current is in phase with the voltage, and they reach their maximum and minimum values simultaneously.

At resonance, the phase angle between the applied voltage and the current is also zero degrees. Resonance occurs when the frequency of the applied voltage matches the natural frequency of the circuit. At resonance, the reactive components cancel out, leaving only the resistive component. As a result, the current and voltage are in phase with each other.

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Answer:

The mean height is 3.2 feet and thestandard deviation 0.6 feet. A… ... A forest ranger has data on the heights of a large growth ... mately what fraction of the trees should we expect to be.

The  fraction of the trees that is between 4.0 and 4.4 feet is 7%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma}\)

x is the raw score, μ is mean and σ is standard deviation

Given that μ = 3.2, σ = 0.6, hence:

\(For\ x = 4:\\\\z=\frac{4-3.2}{0.6} =1.33\\\\\\For\ x = 4.4:\\\\z=\frac{4.4-3.2}{0.6} =2\)

From the normal distribution table, P(4 < x < 4.4) = P(1.33 < z < 2) = P(z < 2) - P(z < 1.33) = 0.9772 - 0.9082 = 7%

The  fraction of the trees that is between 4.0 and 4.4 feet is 7%

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The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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Answer: 2m^4 n^2 it’s option D

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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The equation of the line through the points (-5,2) and (0,3) is y = (1/5) * x + 3

The equation of the line through the points (-5,2) and (0,3) can be found using the slope-intercept form of a line, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept, or the point where the line crosses the y-axis.

To find the equation of the line through the points (-5,2) and (0,3), we need to first calculate the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the points (-5,2) and (0,3) gives us:

m = (3 - 2) / (0 - (-5)) = 1 / 5

Next, we need to find the y-intercept of the line. We can do this by plugging the slope (m) and one of the points (-5,2) into the slope-intercept form of a line:

y = mx + b

= (1/5) * (-5) + b

= -1 + b

= 2

Solving for b gives us:

b = 2 + 1 = 3

So, the y-intercept of the line is (0,3).

Finally, we can plug the slope (m) and y-intercept (b) into the slope-intercept form of a line to get the equation of the line through the points (-5,2) and (0,3):

y = (1/5) * x + 3

This is the answer to the question.

Answer:

20,315.00

Step-by-step explanation:

hope this helps not sure if right though

don't put my answer I'm so confused sorry.

The amount that will be in his account after 72 months is $15487.5.

We have given that,

Principal = $15,000

Amount = Principal + Interest

Principal = $15,000

Get the interest

Interest = PRT/100

Interest = 15000*13/4 * 3/100 (72months = 3years)

Interest = 195000/400

Interest = $487.5

Amount = 15000 + 487.5

Amount= $15487.5

Hence he will have $15.

Therefore, The amount will be in his account after 72 months.

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The distance from the pole to the equator, measured along the surface of the Earth, is approximately 10,002 km. The distance from the pole to the equator, measured along a straight line passing through the Earth, is equal to the diameter of the Earth, which is approximately 12,740 km.

To calculate the distance from the pole to the equator along the surface of the Earth, we can use the circumference formula for a circle:
C = 2πr
Given that the radius of the Earth is 6.37 x 10^6 m, the distance along the surface of the Earth from the pole to the equator is:
C = 2π(6.37 x 10^6 m) ≈ 40,074 km
However, since we are measuring along the surface of the Earth, we need to consider only half of the circumference, which gives us:
Distance = 1/2 * C ≈ 20,037 km
To calculate the distance from the pole to the equator along a straight line passing through the Earth, we use the diameter of the Earth. The diameter is twice the radius, so:
Distance = 2 * (6.37 x 10^6 m) ≈ 12,740 km
Therefore, the distance from the pole to the equator, measured along the surface of the Earth, is approximately 10,002 km, while the distance measured along a straight line passing through the Earth (the diameter) is approximately 12,740 km.

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Explanation

We are given the following:

We are required to determine the exact value of sin 2Θ.

We know that the trigonometric identity for sin 2Θ is thus:

Since Θ is between 180° and 270° as given above, we know that this angle falls in the third quadrant, and sine and cosine are negative in this quadrant.

Therefore, we have:

Now, we can determine the value of sin 2Θ as:

Hence, the answer is:

For average number of sunflowers that bloomed over a period ( in months) in Timothy's greenhouse, the number of sunflowers increase linearly because the increasing rate is same for each month. So, option (d) is right one.

We have Timothy's greenhouse where he is growing sunflowers. The table represents the average number of sunflowers that bloomed over a period of four months. We have to check number of sunflowers increase linearly or exponentially. See the table carefully, the number of sunflowers increase with increase of number of months. That is first month number of sunflowers are 15 then 17.2 in next month.

The increasing rate of number of flowers per month = 17.2 - 15 = 2.2 or 19.4 - 17.2 = 2.2 or 21.6 - 19.4 = 2.2

So, the answer is Linearly, because the table shows that the sunflowers increased by the same amount each month. Another way to check is graphical method, if we draw the graph for table data it results a linear graph. Hence, the number of sunflowers increase Linearly.

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Complete question:

Question 2 Multiple Choice Worth 1 points) (03. 08 MC)

Timothy has a greenhouse and is growing sunflowers. The attached table shows the average number of sunflowers that bloomed over a period of four months. Did the number of sunflowers increase linearly or exponentially?

a)Linearly, because the table shows a constant percentage increase in orchids each month

b)Exponentially, because the table shows that the sunflowers increased by the same amount each month

c)Exponentially, because the table shows a constant percentage increase in sunflowers each month

d)Linearly, because the table shows that the sunflowers increased by the same amount each month