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andreyandreev [35.5K]
3 years ago
8

I need help finding the answer to this question on edge.

Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

6

Step-by-step explanation:

We need to evaluate :-

\rm\implies \displaystyle\rm\sum^4_n   (-1)^n (3n + 2 )

Here the \Sigma is the sum operator . And here we need to find the sum from n = 1 to n = 4 . We can write it as ,

\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2)

Now we know that for odd powers of -1 , we get -1 and for even powers we get 1 . Therefore ,

\rm\implies -1 ( 3 + 2 ) + 1 (6+2)+-1(9+2)+1(12+2)

Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,

\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}

<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>6</u><u>.</u>

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1) 1, 4, 16, 64, ...<br>CR=L<br>Next 3 Terms:​
avanturin [10]

Answer:

256, 1024, 4096.

Step-by-step explanation:

The rule is x*4.

--> 1*4 = 4.

--> 4*4 = 16.

-->  16*4 = 64.

--> 64*4 = 256.

--> 256*4 = 1024.

--> 1024*4 = 4096.

4 0
3 years ago
Read 2 more answers
Please help I will give brainliest
yKpoI14uk [10]

Answer:

x < -4

I have attached the graph of the equation below and it looks exactly the same to the graph given!

Hope this helps!

Here is the graph of the equation above:

6 0
2 years ago
A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs
Vilka [71]

Answer: 22,084,920 different clubs

Step-by-step explanation:

The club must have 6 juniors and 8 seniors

We have a total of 13 juniors and 16 seniors.

Now, we know that the possible combinations of N objects into a group of K is equal to:

C = \frac{N!}{(N-K)!*K!}

For the juniors we have N = 13 and K = 6

Cj = \frac{13!}{7!*6!} = \frac{13*12*11*10*9*8}{6*5*4*3*2*1} = 1716

For the seniors we have N = 16 and K = 8

Cs = \frac{16!}{8!8!}  = \frac{16*15*14*13*12*11*10*9}{8*7*6*5*4*3*2*1} = 12870

Now, as the group consist on both combinations togheter, the number of different clubs that can be formed are:

C = Cj*Cs = 1,716*12,870 = 22,084,920

5 0
3 years ago
construct a 90% confidence interval of the population proportion using the giver information x=74 n=150
FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

\hat p=\frac{X}{n}=\frac{74}{150}=0.493

Compute the critical value of <em>z</em> for 90% confidence level as follows:

z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0
3 years ago
Point P is graphed at(-5,7) on the coordinate plane. Point Q has the same y-coordinate as point P, but is on the other side of t
Sindrei [870]
Point Q is located in the 1st quadrant
point Q's coordinates are (5,7)
6 0
3 years ago
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