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2 years ago

What is ∑n=17(10n+90) equal to? Enter your answer in the box.

Mathematics

1 answer:

Illusion [34]2 years ago

6 0

Answer:

910

Step-by-step explanation:

$\sum_{n=1}^{7}(10n+90)\\\\=\sum_{n=1}^{7}(10n)+\sum_{n=1}^{7}(90)\\\\=10\sum_{n=1}^{7}(n)+90(7)\\\\=10(\frac{7(7+1)}{2})+630\\\\=10(28)+630\\\\=280+630\\\\=910$ <u />

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Need some help with this

kramer

Answer:

Step-by-step explanation:

The total number of outcomes the two fair number cubes are thrown is 36. This can be seen by counting the outcomes shown on the table.

a) for a sum of 4, there are only 3 possible outcomes. They are 3,2 2,2 and 1,3

Therefore, the probability of getting a sum of 4 will be

3/36 = 1/12

b) for a sum of 5, there are only 4 possible outcomes. They are 4,1 3,2 2,3 and 1,4

Therefore, the probability of getting a sum of 4 will be

4/36 = 1/9

c)for a sum of 6, there are only 5 possible outcomes. They are 5,1 4,2 3,3 2,4 and 1,5

Therefore, the probability of getting a sum of 6 will be

5/36 = 5/36

The probability that the sum of the results of the throw is 4,5 or 6 would be

1/12 + 1/9 + 5/36 = (3 + 4 + 5)/36 = 12/36 = 1/3

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3 years ago

The quantity q varies inversely with the square of m and directly with the product of r and x. When q is 2.5, mis 4 and the

saveliy_v [14]

Answer:

The constant of proportionality is 5.

Step-by-step explanation:

If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

$q=k\frac{rx}{m^2}$

When q=2.5, m= 4 and the

product of rx = 8.

We plug in this values to get;

$2.5=k(\frac{8}{4^2})$

$2.5=k(\frac{8}{16})$

$2.5=\frac{1}{2}k$

Multiply both sides by 2

$k=2.5\times 2=5$

The constant of proportionality is 5.

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