A ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How long is theladder?

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Answer 1
Answer:

Answer:

390 because 78 is the width and 5 is length of the building so you need to 78x5 to get your answer


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-5 1/2 + 6 3/4 + (-4 1/4)
Evaluate the expression b/2-3 if b=8.​
Consider the diagram and the proof below.Given: In △ABC, AD ⊥ BCProve: StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFractionTriangle A B C is shown. A perpendicular bisector is drawn from point A to point D on side C B forming a right angle. The length of A D is h, the length of C B is a, the length of C A is b, and the length of A B is c.A 2-column table has 7 rows. The first column is labeled Statement with entries In triangle A B C line segment A D is perpendicular to line segment B C, In triangle A D B sine (uppercase B) = StartFraction h Over c EndFraction, c sine (uppercase B) = h, In triangle A C D, sine (uppercase C) = StartFraction h Over b EndFraction, b sine (uppercase C) = h, question mark, StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction. The second column is labeled Reason with entries given, definition of sine, multiplication property of equality, definition of sine, multiplication property of equality, substitution, and division property of equality.What is the missing statement in Step 6?b = cStartFraction h Over b EndFraction = StartFraction h Over c EndFractioncsin(B) = bsin(C)bsin(B) = csin(C)
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5. Taking a cruise is a costly discretionary expense. In a recent year, the top fivecruise lines in the world had this many passengers:
4,133,000 2,369,000 1,295,000 928,000 679,000
Round your answers to the nearest integer.
a. The computations will be easier to work if you view this problem in terms
of thousands of passengers. Represent each number in terms of thousands
of passengers.
b. What is the mean number of passengers for these five cruise lines? (Give
the full number.)
c. What is the range? (Give the full number.)
d. What is the standard deviation? (Give the full number.)

Answers

Final answer:

The numbers in thousands are: 4133, 2369, 1295, 928, 679. The mean is 1881 thousand passengers, the range is 3454 thousand passengers, and the standard deviation is approximately 1218 thousand passengers.

Explanation:

Part A: To represent each number in terms of thousands of passengers, we simplify them as follows: 4,133,000 is 4,133 thousands of passengers, 2,369,000 is 2,369 thousands, 1,295,000 is 1,295 thousands, 928,000 is 928 thousands, and 679,000 is 679 thousands.

Part B: To calculate the mean number of passengers, you would add up all the passenger numbers and then divide by the number of values (5 in this case). This adds up to 9,404,000 passengers or, in terms of thousands, 9,404. Divided by 5, this gives a mean of 1,880,800 passengers, or 1,881 thousands of passengers.

Part C: The range is calculated by subtracting the smallest number from the largest. In this case, that would be 4,133,000 - 679,000 = 3,454,000, which is also 3,454 thousands of passengers.

Part D: Calculating the standard deviation involves multiple steps. First, for each value, subtract the mean and square this result. Then, calculate the mean of these squared differences. Finally, take the square root of this mean. Doing so, the standard deviation is approximate 1,217,982 passengers, or 1,218 thousands of passengers.

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How many grains of sand are there in 6300kg of sand? Give your answer in standard from

Answers

Answer:

5 g

Step-by-step explanation:

Answer:

16,191,000,000

Step-by-step explanation:

1 kg= 2.57 millions grains of sand

2.57 million*6300= 16,191,000,000

Write an equation in point-slope from for a line that passes through the given set of points. (3,5) and (-6,-4)

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y-y1=m(x-x1)

does this help or do you need help plugging in and finding slope?

Can someone help me with this

Answers

Answer: 28 hours and 5 min

Step-by-step explanation:

So there are 60 min in hour so the fourmula would be 60x=1683 and when you solve you get 28.05

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 36843684 grams and a standard deviation of 448448 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 43564356 grams. Round your answer to four decimal places.

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Answer:

93.32% probability that the weight will be less than 4356 grams.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3684, \sigma = 448

If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4356 grams.

This is the pvalue of Z when X = 4356. So

Z = (X - \mu)/(\sigma)

Z = (4356 - 3684)/(448)

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

93.32% probability that the weight will be less than 4356 grams.

Slope = 3/2, (2,7) is on the line

Answers

Answer:

The answer would be 4.5