All categories

3 years ago

1/2 (n + 4) = 6 whats n?

Mathematics

1 answer:

madreJ [45]3 years ago

7 0

Answer:

n=8

Step-by-step explanation:

1/2 (n + 4) = 6

n+4=12

n=8

You might be interested in

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

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:

$X \sim Binom(n=5, p=0.4)$

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 mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

2 years ago

Find −914+27. Write your answer as a fraction in simplest form.

vfiekz [6]

Answer:

- +=_

914-27=887

887 answer this fraction

5 0

3 years ago

| What is the product? (2x-1)(x +4) O 2x2-4 O 2x2+4 O 2x2 +78-4 O 2x2–7x-4

zubka84 [21]

The last one is that correct answer.
2x^2 +7x -4

3 0

2 years ago

A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed

Allisa [31]

Answer:

B. 2

Step-by-step explanation:

We have been given that a worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip.

Since worker has made 17 trips, so total number of hugs of liquid soap would be 17 times number of jugs carried per trip.

$17\times 4=68$ .

Since each carton holds 7 jugs, so number of cartoons would be $\frac{68}{7}$ .

$\frac{68}{7}\Rightarrow \frac{63+5}{7}=9\frac{5}{7}$

We can see that there are 9 completely filled cartoons and there are 5 jugs remaining, so we need $7-5=2$ jugs.

Therefore, we need 2 jugs to fill the 10th cartoon and option B is the correct choice.

7 0

2 years ago

how much would $150 invested at 8% interest compounded anually be worth after 13 years? A(t)=P(1+r/n)^

PIT_PIT [208]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$150\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &13
\end{cases}
\\\\\\
A=150\left(1+\frac{0.08}{1}\right)^{1\cdot 13}\implies A=150(1.08)^{13}\implies A\approx 407.9435589$

3 0

3 years ago