Answer:
i believe its the third one don't quote me on that though
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
3 (2x - 5) = 21
=> 6x - 15 = 21
=> 6x = 21 + 15
=> 6x = 36
=> x = 36 / 6
=> x = 6
OR
3 (2x - 5) = 21
=> 2x - 5 = 21 / 3
=> 2x - 5 = 7
=> 2x = 7 + 5
=> 2x = 12
=> x = 12 / 2
=> x = 6
Hope it helps :)
Please mark my answer as the brainliest
Answer:
D. is used to reveal an underlying pattern in the data.
Step-by-step explanation:
Smoothing a time series is achieved when a computer uses some pre-programmed calculation methods to remove noise from large volumes of data. Smoothing helps a user detect patterns in a set of data, thus making it possible to make future predictions. For example, smoothing can be used in the prediction of the rise and fall of stock prices. This helps the traders to have an idea of what to expect in the cost of trading.
Although smoothing reveals the patterns in a set of data, it provides no explanation as to why it is so. It is left to the researcher to draw conclusions as to the reasons for the patterns.
Using the Central Limit Theorem, the correct option is:
(c) Average number of miles put on a rental car per day across 25 customers.
--------------------------
The Central Limit Theorem states that, for a normally distributed variable X, with mean 
and standard deviation 
, the sample means of size m are approximated to a normal distribution with mean and standard deviation 
.
- The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
- Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.
A similar problem is given at brainly.com/question/23088374
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
