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4 years ago

12

A building that is 25 meters tall casts a shadow that is 6 meters long. At the same time, a tree cast a shadow that is 4 meters

long. How tall is the tree?
(Freshman highschool math problem)

1 answer:

Kamila [148]4 years ago

3 0

God I remember when I had to that last year in 7th grade honors. I know you have to set up a proportion.

25/6. X/4. Find x and you get your answer

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There are 50 runners in a race. How many ways can the runners finish first, second, and third?

Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : $P(n,r) = \frac{n!}{(n-r)!}$ where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n = 50 , r= 3

⇒ $P(n,r) = \frac{n!}{(n-r)!}$

⇒ $P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}$

⇒ $P(50,3) = 50(49)(48)$

⇒ $P(50,3) = 1,17,600$

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0

3 years ago

Please answer number 1 and 2.

zavuch27 [327]

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

The common difference between two consecutive terms is 3.
And the given difference is A.P.

2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

For finding its nth term we can use the formula: a(n) = a + (n-1) x d.

2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.

7 0

2 years ago

A set of test scores are normally distributed. The mean is 100 and the standard deviation is 20. These scores are converted to s

Whitepunk [10]

Answer:

The z-scores of both the mean and the median are zero.

Step-by-step explanation:

In a normal distribution, the mean and median values will be the same, in this case, 100. Therefore, both the mean and median will have the same score.

The z-score is given by:

$z=\frac{X-\mu}{\sigma}$

For X = 100:

$z=\frac{100-100}{20}\\ z=0$

The z-scores of both the mean and the median are zero.

5 0

3 years ago

The equation 3x - 5 = x + 3, rewrite this as TWO equations to solve<br> graphically.

baherus [9]

Answer:

y= 3x - 5

y= x + 3

Step-by-step explanation:

i hope this is right

3 0

3 years ago

Read 2 more answers

Over the last 5 business days, Ross made the following numbers of sales calls: 7,9,6,10, and 8. On average, how many calls

amid [387]

Answer : 8

7 + 9 + 6 + 10 + 8 = 40
40/5 (5 is the number of sales calls) = 8

5 0

3 years ago