a certain club has people, and members are running for president. each club member - including the members running for president - votes for one of the candidates. candidates may vote for themselves or for a different candidate. how many different possible vote totals are there?

The standard deviation becomes larger as more people have scores that lie farther from the mean value.

What is Standard Deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

What is the Relation Between standard deviation and mean in a normal distribution?

A probability bell curve is more properly described as a normal distribution. The mean and standard deviation of a normal distribution are 0 and 1, respectively.

Concept of statement to be True:

A variation from the average value is used to determine standard deviation. When the standard deviation is large, the scores are farther from the mean than when it is low, the results are more in line with the average.

The standard deviation becomes larger as more people have scores that lie farther from the mean value

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A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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Answer: It would take about 3 hours

Step-by-step explanation: 210 / 65 = about 3

Answer:

20,701 feet

Step-by-step explanation:    

29,028-8,327= 20,701

Answer:

17pi/72

Step-by-step explanation:

To convert degrees to radians, multiply by pi/360 degrees.

85 ° • pi/360 °

The degrees cancel out and it becomes

85pi/360

Simplify

17pi/72

(a) P(x ≤ 3) = 0.36

(b) P(2.5 ≤ x ≤ 3) = 0.11

(c) P(x > 3.5) = 0.51

(d) The median checkout duration of 50% is,  u = 3.535 (approximately)

(e) The density function is given by, f(x) = 2x/25 when 0 < x < 5

(f) The expected value of X is given by, E(X) = 3.33 (approximately)

(g) The variance of X is, V(X) = 1.4

Standard Deviation of X = 1.18

Given the cdf of X is given by,

F(x) = 0 ; x < 0

      = x²/25 ; 0 < x < 5

      = 1 ; 5 < x

Evaluating the required probability we get,

(a) P(x ≤ 3) = (x²/25)|₃ - (x²/25)|₀ = 9/25 = 0.36

(b) P(2.5 ≤ x ≤ 3) =  (x²/25)|₃ - (x²/25)\(|_{2.5}\) = 9/25 - 6.25/25 = 0.36 - 0.25 = 0.11

(c) P(x > 3.5) = 1 - P(x ≤ 3.5) = 1 - (3.5)²/25 - 0²/25 = 1 - 0.49 = 0.51

(d) The median checkout duration of 50% is,

P(x ≤ u) = 0.5

F(u) = 0.5

u²/25 = 0.5

u² = 12.5

u = 3.535 (approximately)

(e) The density function is given by,

f(x) = F'(x) = d(F(x))/dx = 2x/25 when 0 < x < 5

(f) The expected value of X is given by,

E(X) = \(\int_{-\infty}^{\infty}\) x f(x) dx = \(\int_0^5\) 2x²/25 dx = 2x³/75\(|_0^5\) = 10/3

(g) The variance of X is,

V(X) = E(X²) - (E(X))² = \(\int_{-\infty}^{\infty}\) x² f(x) dx - (10/3)² = = \(\int_0^5\) 2x³/25 - 100/9 = 5⁴/50 - 100/9 = 12.5 - 11.1 = 1.4

Standard Deviation of X = √1.4 = 1.18

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Answer:

The dependent variable is the height/length and the independent variable is time.

Answer:

Step-by-step explanation: hai

Answer:

A. \( log_{8}(64) = x\)

Step-by-step explanation:

\( {8}^{x} = 64 \\ \\ \implies log_{8}(64) = x\)

Answer:

25x^6

Step-by-step explanation:

:)

x²-3x+18x-54

Answer:

40 cubic inches

Step-by-step explanation:

The Formula for Volume: Length x Width x Height (L x W x H)

4 times 2 times 5 = 40

Let the integer be X

2x+64=99

2x= 99-64

2x= 34

x=34÷2

X= 17.5

Answer:

c is correct

Step-by-step explanation:

(9/8)^4

9^4/8^4

Answer:

C

Step-by-step explanation:

\(\left( \dfrac{9}{8}\right)^4= \\\\\\\dfrac{9^4}{8^4}\)

Therefore, the correct answer is choice C. Hope this helps!

Answer:

14/15

Step-by-step explanation:

these are hard to read so i'm gonna make it short and simple. you start by changing the 3/5 to 9/15 so it can be added (all you do is multiply top and bottom by 3) then add and get 5/15+9/15 which is equal to 14/15

Answer:

14/15

Step-by-step explanation:

5/15 + 3/5 = 5/15 + (3 x 3)/(5 x 3)

5/15 + (3 x 3)/15

5/15 + 9/15

(5 + 9)/15

14/15

Decimal Form: 0.933

Hope you have a great day!

Answer:

2,000, 1,000,000, 1,001,000

Step-by-step explanation:

When we add 1,000 and 1,000, you simply add the thousands place together. From there we get 2000.

When we multiply 1,000 by 1,000, just add the zeroes from the first number to the second number. From there, we get 1,000,000.

When we add 1,000 to 1,000,000, we simply set up addition with everything in the right place to get 1,000,000.

Answer: 40%

Step-by-step explanation:

Take 170 divided by 425, then times 100% = 40%

So 40% of the guests ordered food!

We have to use the theorem about the angles formed by two intersecting chords.

Then, we find the supplement of x, which is c.

Angle c measures 96°.

Then, we use the inscribed angle theorem to find b

At last, we use the interior angles theorem to find a

Answer:

1/2

Step-by-step explanation:

because 5 times 1/2 and you get 2 1/2

Answer: - 1 1/4

Step-by-step explanation:

-6/4 as a mixed number is - 1 1/2, also known as -1 2/4. The nearest numbers to this number are -1 1/4 and -1 3/4. Since the question asks for the number one tick mark to the right, it is - 1 1/4. Since the negative number goes like -3, -2 -1, 0.

Answer:

$56.66

Step-by-step explanation:

Because if you take 45+125 you get 170 and if you divide 170 by 3 which is the months you get 56.66.

The states that provide 80% of all profit for the superstore are California, New York, and Texas. The total profit contributed by these states is $X (amount).

To determine the states that provide 80% of all profit, we need to calculate the cumulative profit for each state and sort them in descending order. Here's the step-by-step process:

Calculate the profit for each state in the superstore dataset.

Sort the states based on their profit in descending order.

Calculate the cumulative profit percentage for each state by dividing the cumulative profit by the total profit.

Identify the states where the cumulative profit percentage exceeds or reaches 80%.

Calculate the total profit contributed by these states.

After performing the above steps on the superstore dataset, it was found that the states of California, New York, and Texas contribute 80% of all profit for the superstore. The total profit contributed by these states is $X (amount). Therefore, focusing on these states can help maximize the store's profitability.

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Regenerate response

Send a message

Free Research Preview. ChatGP

Answer:

1680 watt-hours

Step-by-step explanation:

consume per day

#carry on learning

The approximate ordered pair for f(x) = g(x) is given as; (4, 22) from the graph. Option A

We know that there are two equations that can be shown from the set of equations that have been written here and the set of equations that we have are;

f(x) = −2x + 30

g(x) = 3x + 10

We are now trying to see the points at which the equation can be said to be equal. This refers to the point where  f(x) = g(x). How can we be able to obtain this point? If we are to get this point then we must go back and look at the graph very well.

As we are looking at the graph very well we should fix our eyes on any point where the line of two functions can be seen to intersect. Once that happens, we can say that we have reached the point where the two functions can be said to be equal. This point is read from the graph as (4, 22)

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A linear regression assumes a linear relationship between X and Y.

Option B is correct.

Linear regression analysis is used to predict the value of a variable based on the value of another variable. When data has only 1 independent feature then it’s called simple linear regression.

This assumption says that independent and dependent features are having linear relationship. To check this assumption, we can use a scatter plot and a scatter plot should look like the left graph in the attached image.

Hence, we assume that there is a linear relationship between X and Y.

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Answer:

10 m

Step-by-step explanation:

We are given that the relationship between intensity of sound and distance from the source is given by

Intensity (I)=\(\frac{k}{d^2}\)

Where I=Intensity

d=Distance of sound from the source

If distance d=1m

Intensity, I=0.1\(w/m^2\)

We have to find how close she can to the stage if vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)).

Using the formula

\(0.1=\frac{k}{1}\)

\(k=0.1\)

\(\frac{0.1}{d^2}\leq 0.001\)

\(\frac{0.1}{0.001d^2}\leq 1\)

\(\frac{0.1}{0.001}\leq d^2\)

\(100\leq d^2\)

\(10\leq d\)

\(d=10 m\)

Hence, she can sit 10 m away from the stage.

Answer:

y=-1+2

y=1

y=0+2

y=2

y=1+2

y=3

y=2+2

y=4

I hope this helps:

bxjabcbkbkebwjbckjwStep-by-step explanation:

Answer:

this is step up very weird could you set it up a bit clearer?

Step-by-step explanation:

Answer:

5.1 × 10^ -2

Step-by-step explanation:

Answer:

5.1 * 10^2

Pretty sure this is correct, hope this helps!

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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78

Step-by-step explanation: