Answer:
D
Step-by-step explanation:
<span>|4x + 12| = 16
As it is in modulus function, it could be either +ve or -ve
4x+12 = 16 OR 4x - 12 = 16
4x = 16-12 OR 4x = 16 + 12
4x = 4 OR 4x = 28
x = 4/4 OR x = 28/4
x = 1 OR x = 7
In short, Your Answer would be either 1 or 7
Hope this helps!</span>
Answer:
The 95% confidence interval is 
A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as
=> 
=> 
Next we obtain the critical value of 
from the normal distribution table , the value is
Generally the margin of error is mathematically represented as
substituting values
The 95% level of confidence interval is mathematically represented as
substituting values
The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Answer:
(1, 4) and (1,3), because they have the same x-value
Step-by-step explanation:
For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.
In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.
Therefore, the relation is not a function anymore if both ordered pairs are included.
<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>
In the given series, we see that the first term is 3 and
the common ratio between the succeeding terms is -3. To solve for the sum of
the first 8 terms, we use the equation,
Sum = (a1)(1 – r^n) / (1 – r)
Substituting the known terms,
Sum
= (3)(1 – (-3)^8)/(1 - -3) = -4920
<span>Thus, the answer is -4920.</span>
