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3 years ago

What is the value of n when 8n - 8 = 6n+ 6

1 answer:

4 0

To solve for this, we need to get n by itself on one side, then solve from there.
Currently, our equation is 8n - 8 = 6n + 6.
Get n on one side, subtract 6n from both sides.
2n - 8 = 6
Add 8 to both sides.
2n = 14
Divide by 2 to get n.
n = 7.
I hope this helps!

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2 years ago

Anya’s team won 5 out of every 7 games this season.

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20 out of 28 games.

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1 year ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

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

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

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:

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

And we want to find this probability:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

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2 years ago

How do I solve this question? <br> What number is 5% of 860?

Serggg [28]

Answer:

Step-by-step explanation:

You would take 5% as a decimal (0.05) and multiply 860 by the decimal.

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2 years ago

if there are four trucks parked in line and after the first truck each truck weighed 2 more tons than the one before. They all w

algol13

Each truck weighs five tons.

1st truck: n
2nd truck: n + 2
3rd truck: n + 4
4th truck: n + 6

n + n + 2 + n + 4 + n + 6 = 32
4n + 12 = 32
- 12 - 12
--------------------
4n = 20
---- ------
4 4

n = 5

6 0

3 years ago