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2 years ago

I have no idea how to do this.

Mathematics

1 answer:

Alex17521 [72]2 years ago

3 0

Answer:

<2 = 133°

Step-by-step explanation:

< beside <2 = 47

<2 + < beside <2 =180 (straight line)

<2 + 47 =180

<2 = 180-47

<2 = 133°

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The Statue of Liberty weighs about 2.04 x 105 kg. The Washington Monument weighs about 9.07 x 107 kg. About how many more kilogr

Misha Larkins [42]

Answer:

756.29

Step-by-step explanation:

2.04 x 105 = 214.2

and 9.07 x 107 = 970.49

970.49 - 214.2 = 756.29

6 0

2 years ago

The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase & Co. JP Morgan Chase & Co.'s r

svetlana [45]

Answer:

a. 53.4

b. 24.4

Step-by-step explanation:

a+j=77.8

j=a-29

a+j=77.8

-a+j=-29

2j=48.8

j=24.4

a+24.4=78.8

a=53.4

5 0

2 years ago

Y+5=x+3 in standard form

podryga [215]

Answer: x-y=2

Step-by-step explanation:

y+5=x+3; move variable (x) to the left-hand side and change the sign.

y-x+5=3; move the constant to the right-hand side & change the sign

y+x=3-5; reorder the terms

-x+y=3-5; calculate

-x+y=-2; change the signs on both sides

x-y=2 is your answer! hope this helps!

7 0

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

How to solve -2(x+3)=8

Shtirlitz [24]

-2(x + 3) = 8

Multiply -2 with x and 3

-2x -6 = 8

Now add 6 to both sides

-2x -6 = 8
+6 +8

-2x = 16

Lastly divide -2 from both sides to find x

-2x = 16
—— —-
-2x -2x

X = -8

5 0

2 years ago

Read 2 more answers