3 years ago

I hope this uploaded sorry still having a hard time with this one

Mathematics

1 answer:

Shkiper50 [21]3 years ago

8 0

No problem 72 cubic squares

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Suppose the population of all public universities shows the annual parking fee per student is $110, with a standard deviation of

vampirchik [111]

The probability would be 0.9738.

We first find the z-score for each end of this interval:

z = (x-μ)/(σ/√n) = (100-110)/(18/√49) = -10/(18/7) = -3.89

z = (x-μ)/(σ/√n) = (115-110)/(18/√49) = 5/(18/7) = 1.94

Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0. The probability under the curve to the left of, less than, the second z-score is 0.9738. Subtracting these we find the area between them:
0.9738 - 0 = 0.9738.

3 0

3 years ago

Prove that for all n in the naturals, n(n+1)(n+2) is divisible by 3

DerKrebs [107]

By induction:

It's true for $n=1$ , since $1\cdot2\cdot3$ clearly contains a factor of 3.

Suppose it's true for $n=k$ , that $k(k+1)(k+2)$ is divisible by 3. Then

$(k+1)(k+2)(k+3)=\dfrac{k(k+1)(k+2)(k+3)}k=\dfrac{3m(k+3)}k$

where $m$ is an integer. This reduces to

$\dfrac{3m(k+3)}k=3m+9\dfrac mk$

and both terms are clearly multiples of 3. We know that $\dfrac mk$ is an integer since we had set $m=k(k+1)(k+2)$ previously, which implies $m$ is a multiple of $k$ . So the statement is true.

6 0

3 years ago

Plz help ASAP <br> I need it yo

Natali [406]

Answer:

c!!

Step-by-step explanation:

5 0

3 years ago

HEY I NEED HELP (sorry in advance for my terrible handwriting)

chubhunter [2.5K]

< This is the answer!!!!!!