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Troyanec [42]
3 years ago
10

What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HEL

P
Mathematics
2 answers:
Serggg [28]3 years ago
7 0
It is d because I know it guys trust me it is easy.

iogann1982 [59]3 years ago
6 0

Answer:

The sum of 8 terms of series is 959,780

D is correct

Step-by-step explanation:

Given: -4, 24, -144, ......

There are 8 terms.

We need to find the sum of 8 terms.

First term, a=-4

Common ratio, r=-6

a_n=-4\cdot(-6)^{n-1}

Sum of 8 term

Sum=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8

Sum=\sum_{n=1}^{8}a_n

Sum=-4+24-144+864-5184+31104-186624+1119744

Sum=959,780

Hence, The sum of 8 terms of series is 959,780

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A distribution of values is normal with a mean of 165.6 and a standard deviation of 18.7. Find the probability that a randomly s
SVETLANKA909090 [29]

Answer: the probability that a randomly selected value is greater than 161.9 is 0.977

Step-by-step explanation:

Since the distribution of values is normal, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = randomly selected values.

µ = mean value

σ = standard deviation

From the information given,

µ = 165.6

σ = 18.7

We want to find the probability that a randomly selected value is greater than 161.9.. It is expressed as

P(x > 161.9) = 1 - P(x ≤ 161.9)

For x = 161.9

z = (161.9 - 165.6)/18.7 = - 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

P(x > 161.9) = 1 - 0.023 = 0.977

6 0
3 years ago
A student wants to simulate 31 ​birthdays, but she does not have a calculator or software program​ available, so she makes up 31
mihalych1998 [28]

Answer:

No, it is not okay to conduct the simulation this​ way.

Step-by-step explanation:

In statistics, simulation refers to a technique that is employed to model random events so that the results obtained from using the simulation is significantly similar to the results obtained from observing the real-world.

Researchers are therefore able to understand the real world when they observe the simulated outcomes.

From the description above, it can be seen that simulation is about studying random events. Therefore, a sample of the population that will be used in the simulation must be selected through a random sampling.

Random sampling refers to the sampling method that gives equal opportunity of being selected to each member of the population. This makes the sample selected through random sampling technique to be an unbiased representation of the total population.

As a result, making up 31 numbers between 1 and 365 by the student is not a random sampling, because his method may favor some numbers over others. It is therefore a defective method of carrying out simulation.

 Therefore, the it is not okay to conduct the simulation this​ way.

I wish you the best.

6 0
3 years ago
I can't figure out how to do this question. simplify the imaginary number in the picture above please
Alona [7]

Answer:

  -i(6/7)√2

Step-by-step explanation:

\displaystyle -\sqrt{-\frac{72}{49}}=-\sqrt{-1}\sqrt{\frac{36}{49}}\sqrt{2}\\\\=-i\frac{6}{7}\sqrt{2}

3 0
3 years ago
Ten people from a local youth group went to black hills whitewater rafting tour company for a one day rafting trip. the group pa
ICE Princess25 [194]

42.5p=c

You get you get the number 42.5 since you know 10 people paid 425, you would divide 425 by 10 to know how much every person paid.

M is representing the amount of money each person paid

(M)10=425
M=425/10
M=42.50 <- since it’s about money

Each person paid $42.50


The cost for 15 people is $637.50.

42.5p=c
42.5(15)=637.5
6 0
3 years ago
What answer to 1+7v+9
Sveta_85 [38]

Hey There!

In order to simplify this expression, you would have to combine the like terms.

9+1 = 10

Nothing else could be done, therefore the answer would be.

7v + 10

Hope this helped!

8 0
3 years ago
Read 2 more answers
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