All categories

3 years ago

3/5 (10+5x)−1/3(6x+3)=9 ok answer fast

Mathematics

1 answer:

Anton [14]3 years ago

6 0

Answer: x = 4

Step-by-step explanation:

$\dfrac{3}{5}(10 + 5x) - \dfrac{1}{3}(6x + 3)=9$

$\dfrac{3}{5}(10 + 5x)(15) - \dfrac{1}{3}(6x + 3)(15)=9(15)$ multiplied by common denominator

3(10 + 5x)(3) - 1(6x + 3)(5) = 9(15) reduced all fractions

90 + 45x - 30x - 15 = 135 distributed

15x + 75 = 135 simplified (added like terms)

15x = 60 subtracted 75 from both sides

x = 4 divided 15 from both sides

You might be interested in

A light bulb consumes 3600 watt-hours per day. How long does it take to consume 17100 watt-hours?

Alexus [3.1K]

It will take 4.75 days, or 4 and 3/4's of a day if that's what you're looking for

4 0

3 years ago

Find the measures of the numbered angles for each parallelogram.

notka56 [123]

Can anyone else figure this out

8 0

3 years ago

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi

iogann1982 [59]

Answer:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=12, p=0.2)$

And we want to find this probability:

$P(X > 3)$

And we can use the complement rule and we got:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

4 0

3 years ago

Read 2 more answers

Write 508/1000 as a decimal

natka813 [3]

Answer:

0.508

Hope this helps!

4 0

3 years ago

What is the expression equal to 6?3n-(2+n)

Brilliant_brown [7]

Answer:

n=3 then open bracket

Step-by-step explanation:

3n-(2+n)

=3x4-(2+4)

=12-6

3 0

3 years ago