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2 years ago

X-intercept of 5y=6x-5

Mathematics

1 answer:

Alexxx [7]2 years ago

4 0

-5
because it is y=mx+b form so the b is -5 so that makes it the x intercept

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Help with these two math questions thank u :)

Tju [1.3M]

Answer:

1.) - (4, 4) 2.) - (3,5) Hope this helps!!

4 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

The number of cats increased from 1650650 to 2250015. What is the percentage change to the nearest tenth?

Luden [163]

First you have to subtract 2250015 by 1650650 and the answer is 599365

The you add 2250015 to 1650650 and the answer is 3900665 so you divide

599365 by 3900665 and multiply by 100 and the final result is 517.325002

And to the nearest ten is 517.3 because 2 is below five to round up

Final answer— 517.3

Hope this helps

7 0

3 years ago

Type an expression using words to represent each of the given algebraic expressions. Enter your answer in the box

poizon [28]

Answer:

3 whole multiply by M subtracted from 7

Step-by-step explanation:

8 0

2 years ago

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5? Put your answer in slope-intercept form. y

zubka84 [21]

Answer:

Y=3/5x -4/5

Step-by-step explanation:

3/5 is the slope so you do 3/5x

-4/5 is negative because the line passes two negative coordinates

Hope this helps!

4 0

3 years ago