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3 years ago

Which equation can be used to find the unknown length, a, in this triangle?

Mathematics

2 answers:

laila [671]3 years ago

4 0

A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)

Mkey [24]3 years ago

4 0

A is the answer. Hope it helps!!!

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victus00 [196]

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3 years ago

16% of 150 is what number plz show work

bazaltina [42]

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 150 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 150 is 100%, so we can write it down as 150=100%. 
4. We know, that x is 16% of the output value, so we can write it down as x=16%. 
5. Now we have two simple equations:
1) 150=100%
2) x=16%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
150/x=100%/16%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 16% of 150

150/x=100/16
(150/x)*x=(100/16)*x - we multiply both sides of the equation by x
150=6.25*x - we divide both sides of the equation by (6.25) to get x
150/6.25=x 
24=x 
x=24

now we have: 
16% of 150=24

4 0

3 years ago

Read 2 more answers

Use the distributive property to find the product mentally. Show the steps you used.

Licemer1 [7]

I believe this is what is wanted

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3 years ago

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

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.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

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

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

What is 33 1/3 of 51 equals what please show work

Leona [35]

If ur asking for it in percent, it is 17. 33 1/3 percent is the same thing as 1/3 of a number. therefore, u multiply 51 by one third or divide 51 by 3

7 0

3 years ago

Read 2 more answers