30% of what number equals 9

Mathematics

1 answer:

Bumek [7]2 years ago

5 0

Answer:

The number is 30

Step-by-step explanation:

Of means multiply and is means equals

30% * N = 9

Change to decimal form

.3 * N = 9

Divide each side by .3

.3/.3 *N = 9/.3

N = 30

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HELP FAST PLEASE<br> Find u*v, if u=13j and v=i+3j

Flauer [41]

$\bf \begin{cases}
u=13j\implies 0i+13j\implies \ \textless \ 0,13\ \textgreater \ \\
v=i+3j\implies 1i+3j\implies \ \textless \ 1,3\ \textgreater \ 
\end{cases}
\\\\\\
\ \textless \ 0,13\ \textgreater \ \cdot \ \textless \ 1,3\ \textgreater \ \implies (0\cdot 1)+(13\cdot 3)\implies 39$

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2 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$