Find the volume of the cylinder to the nearest tenth. d = 15 in 11 in​

To find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values: P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Given that the probability that a fluorescent light has a useful life of at least 1000 hours is 0.8, we can use the binomial distribution formula to find the probabilities that among 20 such lights, a certain number will have a useful life of at least 1000 hours. The formula is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the number of lights that have a useful life of at least 1000 hours, n is the total number of lights (20 in this case), k is the number of lights with a useful life of at least 1000 hours, p is the probability that a single light has a useful life of at least 1000 hours (0.8), and (n choose k) is the binomial coefficient.

For example, to find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values:

P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Using a calculator or a statistical software, we can find that this probability is approximately 0.202. Similarly, we can find the probabilities for other values of k, such as P(X = 10), P(X = 5), or P(X = 0). The probabilities will follow a binomial distribution, which is a discrete probability distribution that models the number of successes in a fixed number of trials.
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The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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Answer:

x=14,-14

hope this is fast enough!

Answer:

Last option, "y is greater than or equal to -1/3 x + 1"

Step-by-step explanation:

y represents any value in the shaded region, and since the region is above the line, that's how you know it's greater than the line. You also know the sign is greater than or equal to (rather than just greater than), because the line on the graph is solid, instead of dotted.

Hope this makes sense :)

Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.

In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:

In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:

Assuming the ordered pair (1, 2), we have:

y ≥ 6

2 ≥ 6 (False).

5x+3y ≤ 15

5(1) +3(2) ≤ 15

5 + 6 ≤ 15

11 ≤ 15 (True).

Therefore, it is not a feasible solution.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

{x,y} = {-2, -2}

Step-by-step explanation:

To prove Euler's Rotation Theorem using orthogonal properties, we will follow these steps:

Step 1: Consider a sphere with center O and radius R. Let A and A' be the initial and final positions of a point on the sphere after rotation.

Step 2: Since the sphere is rotated about its center, the distance between O and A remains equal to the radius R in both the initial and displaced positions (OA = OA' = R).

Step 3: Let B and B' be the initial and final positions of another point on the sphere after the same rotation. Again, the distances OB and OB' both equal the radius R.

Step 4: Euler's Rotation Theorem states that there exists a diameter of the sphere whose direction is the same in both the initial and displaced positions. Let C and C' be the endpoints of this diameter in the initial and displaced positions, respectively.

Step 5: Now, consider the plane formed by the points A, B, and C in the initial position, and the plane formed by the points A', B', and C' in the displaced position. These two planes are called "orthogonal planes" as they are perpendicular to the diameter CC'.

Step 6: Since the rotations of points A and B are both orthogonal to CC', the rotation axis must be along the diameter CC'. Therefore, the direction of the diameter CC' remains unchanged during the rotation.

In conclusion, we have proven Euler's Rotation Theorem using orthogonal properties. When a sphere is moved about its center, it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position.

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Answer:

5r + 75 > 300

Hope this helps :)

They need more than $300, so the inequality sign is >. They already have 75 so we will add that to the total amount of raffle tickets sold afterwards. Lastly, the raffle tickets are $5 each, so r will be the number of tickets sold.

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

i think its B

Step-by-step explanation:

There is sufficient evidence to conclude that the population standard deviation is different from 0.1.

What is test statistic?

A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

Given,

            \(H_0:\sigma =0.1\\H_a:\sigma \neq 0.1\)

Test statistic:

Chi square=(20-1)*0.25^2/0.1^2=118.75

df=20-1=19

p-value=CHIDIST(118.75,19)=0.0000

Reject the null hypothesis.

Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.

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Answer:

c3

Step-by-step explanation:

c4

Answer:

9

I hope this helps and have a good day

Answer:

5x - 2y = 16

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = (4, 2 )

m = \(\frac{2-(-3)}{4-2}\) = \(\frac{2+3}{2}\) = \(\frac{5}{2}\) , then

y = \(\frac{5}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 2 )

2 = \(\frac{5}{2}\) (4) + c = 10 + c ( subtract 10 from both sides )

- 8 = c

y = \(\frac{5}{2}\) x - 8 ← equation in slope- intercept form

multiply through by 2 to clear the fraction

2y = 5x - 16 ( subtract 5x from both sides )

- 5x + 2y = - 16 ( multiply through by - 1 )

5x - 2y = 16 ← equation in standard form

Answer:

P(basketball and baseball)= 3/28

It helps if you make a two way table, but I cant do that on here

Answer:

Area of the triangle = 19.8 = 20 sq. Units (approx.)

Dialogue can be used today to foster understanding and reconciliation between Indigenous and non-Indigenous Canadians by providing a platform for sharing perspectives, addressing historical truths, and promoting empathy and mutual respect.

Dialogue plays a crucial role in facilitating communication and understanding between different groups. In the context of Indigenous and non-Indigenous Canadians, dialogue can help bridge the gap between their beliefs and histories. By engaging in open and respectful conversations, both groups can share their perspectives, beliefs, and experiences, leading to a deeper understanding of each other's truths.

Dialogue provides an opportunity to address historical truths and the impacts of colonization and assimilation policies on Indigenous communities. Through dialogue, non-Indigenous Canadians can gain a better understanding of the injustices and systemic issues faced by Indigenous peoples. It allows for the acknowledgement of past wrongs, promoting healing and reconciliation. Furthermore, dialogue encourages the development of empathy and mutual respect. By actively listening and engaging in dialogue, both Indigenous and non-Indigenous Canadians can develop a greater appreciation for each other's beliefs, values, and cultural heritage. It creates space for building connections, fostering trust, and working towards a more inclusive and equitable society.

Dialogue serves as a powerful tool to facilitate understanding, truth-telling, and reconciliation between Indigenous and non-Indigenous Canadians. It allows for the sharing of perspectives, addressing historical truths, and promoting empathy and mutual respect. Through dialogue, both groups can move forward in building stronger relationships and working towards a more just and inclusive society.

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There were 21 children who were older than 7 years.

A histogram is a graph that depicts the frequency distribution of a few data points from a single variable. Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.

The bar graph graphically represents category data. A histogram is a graph that represents quantitative data. Each pair of consecutive bars is separated by an equal amount of space.

The data from the Histogram can written as

Age group   Number of Children

 1 - 3                         5

 3 - 5                         3

 5 - 7                         6

 7 - 9                        8

 9 -11                        9

 11 - 13                      4

So, the number of children who were older than 7 years

= 8 + 9 + 4

= 21 children

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Answer:

4^30

Step-by-step explanation:

multiply the exponent

The value of x the function when x = -7.5 is 34.5

Functions are written in terms of variables

Given the expression  –3.8x + 6, when the value of x is -7.5, hence;

f(x) =  –3.8x + 6

f(-7.5) = -3.8(-7.5) + 6

f(-7.5) = 28.5 + 6

f(-7.5) = 34.5

Hence the value of x the function when x = -7.5 is 34.5

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Answer:

Nadine walked 1 4 of a mile, Janet walked 3 8 of a mile, and Perry walked 5 6 of a mile. Perry walked the farthest. Nadine = 6/24, Janet = 9/24, Perry = 20/24; Perry walked 7/12 miles more than Nadine.

Answer:

30

Step-by-step explanation:

\(500\times\left(60-12\right)\div\left(300+500\right)\)

Calculate

\(\frac{500\times\left(60-12\right)}{300+500}\)

Calculate the sum or difference

\(\frac{500\times48}{300+500}\)

Calculate the sum or difference

\(\frac{500\times48}{800}\)

Cross out the common factor

\(\frac{5\times48}{8}\)

Cross out the common factor

\(5\times6\)

Calculate the product or quotient

\(30\)

Answer:

honestly i got 273.6 so i'm thinking that he would have to pay about 273 times........

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

Answer:

Economy: 260

Business: 100

Step-by-step explanation:

For each 13 seats in economy there are 5 seats in business.

13 + 5 = 18

We need a sum of 360, not 18.

Multiply both numbers in the ratio by 2:

For each 26 seats in economy there are 10 seats in business.

Add: 26 + 10 = 36.

We need a sum of 360, so the number that multiplies both numbers in the ratio must be much greater than 2. We don't know that number, so we call it x.

Multiply both numbers in the ratio by x.

We get: 13x and 5x

Add them:

13x + 5x

The sum must equal 360.

13x + 5x = 360

Now we solve for x.

18x = 360

x = 20

Economy: 13x = 13(20) = 260

Business: 5x = 5(20) = 100

Add them: 260 + 100 = 360 which is the number wee need.

Answer:

Step-by-step explanation:

1. 500

2. 10

3. 25000

Answer:

3,600

Step-by-step explanation:

well, there is 60 in a minute and 60 minutes in a hour, so multiply 60 x 60

The sequence converges to 0 as the limit.

The sequence is defined as sin\((2^n)\) / √(n), where n is a positive integer. As n increases, the term \(2^n\) grows exponentially, while the denominator √(n) grows at a slower rate. The sine function, sin\((2^n)\), oscillates between -1 and 1 as \(2^n\) increases.

However, the denominator √(n) becomes larger and larger. As a result, the ratio sin\((2^n)\) / √(n) approaches zero as n approaches infinity. This indicates that the sequence converges to 0. In other words, as more terms of the sequence are calculated, the values become increasingly closer to 0.

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Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, \(h_A\) = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, \(h_B\) = 60 feet

Therefore, we have;

The height of A, \(h_A\)  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, \(h_A\) = 110 feet

By Pythagoras theorem, the distance between their tops = √((\(h_A\) - \(h_B\))² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

Variance is described as the average of the squared deviations of the observations from the mean. It is a measure of the spread or dispersion of a dataset, indicating how much the individual data points deviate from the mean value.

Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance is a measure of dispersion, or how far apart from the mean a group of data are from one another. Descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling are just a few of the concepts that make use of variance. In the sciences, where statistical data analysis is widespread, variance is a crucial tool.

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