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bekas [8.4K]
3 years ago
7

A tree that is 5 feet tall is growing at a rate of 1 foot per year. A 6 foot tall tree is growing at a rate of 0.5 foot per year

. In how many years will the tree height be the same?
Mathematics
2 answers:
vovangra [49]3 years ago
8 0

Both trees would be the same in 2 years at 7 feet.

Hope this helps.

erastovalidia [21]3 years ago
5 0
Let’s call the tree in which is growing at a rate of 1 foot per year Tree A, and the tree growing 0.5 feet a year Tree B. In 2 years Tree A will be 7 feet high. Tree B, in two years will be 7 feet, because .5 x 2 is equal to 1 foot. Therefore making Tree B 7 feet.

ANSWER:
In two years Tree A (1 foot per year), and Tree B (0.5 feet per year) will grow to 7 feet.

Hope this helped. Have a great day. And a thank you or brainliest is very appreciated.
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Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone
Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of each system working:

4 components, which means that n = 4

Each has a 30% probability of failing, so p = 1 - 0.3 = 0.7

For the system to work, all 4 components have to work. This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so n = 7

0.2401 probability of a system working.

We have to find P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615

16.15% probability that exactly 3 of them would function

5 0
3 years ago
Is -1 part of the set of whole numbers
s2008m [1.1K]

No.  The whole numbers are the natural numbers (counting numbers, 1, 2, 3...), but starting with zero instead of one.   -1 is an integer but not a whole number.

5 0
3 years ago
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Blababa [14]

Answer:

Poorly formated. Please fix the question so it is more understandable!

8 0
3 years ago
Let P = 0.5 0.1 0.5 0.9 be the transition matrix for a Markov chain with two states. Let x0 = 0.5 0.5 be the initial state vecto
max2010maxim [7]

Answer:

Complete solution is given in the images attached below for better demonstration

7 0
3 years ago
Find the volume of this cone.
Andrews [41]

Answer:

V = 180 ft^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6

The height is 5 and we are using 3 for pi

V = 1/3 (3) *6^2 *5

V = 180 ft^3

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3 years ago
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