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2 years ago

Come get a brainliest

Mathematics

1 answer:

vfiekz [6]2 years ago

3 0

The schools is loacted at <u>(1, -8)</u> and the park is loacted at <u>(-6,-8)</u>

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What is the exact value of the expression √72 - √8 + √128? Simplify if possible.

emmasim [6.3K]

√72 can be written as 3√8 , √128 as 4√8.. Here, we have to solve √72 -√8 +√128 .. i.e, 3√8 - √8 + 4√8.. which is equal to 6√8 or can be written as 12√2 //

4 0

3 years ago

what is the slope of a line is PARALLEL to the line with this equation y=<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%

Gwar [14]

Our line equation is

$y=\frac{1}{2}x+7$

where the slope m=1/2 and the y-intercept b is b=7.

Parallel lines has the same slope. Hence, their slope is always

$m=\frac{1}{2}$

in this case.

6 0

1 year ago

How much money would a person have 8 years after they invested $2,000 into an account that has an annual interest rate of 3% tha

madam [21]

The amount of money the person would have in 8 years s $2541.74.

<h3>How much would the person have in 8 years? </h3>

The formula for calculating future value is:

FV = P (1 + r)^nm]

Where:

FV = Future value

P = Present value = $2000
R = interest rate = 3% / 12 = 0.25%
m = number of compounding = 12
N = number of years = 8 years

Value of the account in 8 years with monthly compounding = $2000(1.0025)^(12 x 8) = $2541.74

To learn more about future value, please check: brainly.com/question/18760477

4 0

2 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

This set of 3 numbers are measurements of a right triangle. 10,8,6<br><br>True<br>False

arlik [135]

Answer:

True

Step-by-step explanation:

**plug it in using the Pythagorean Theorem**

6^2+8^2= 10^2

36+64=100

100=100 (true)

7 0

3 years ago

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