2k^2+3k-13=k^2+15
subtract k^2 -15 from each side
k^2 +3k -28=0
(k+7)(k-4)=0
k=-7 k=4
Answer: k= -7,4
Answer:
19/72
Step-by-step explanation:
To calculate the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
We already know the number that liked chess only which is 10, we have to solve for those that liked swimming only which is
8+7+16+x = 40
x which represent swimming only is
40-31 = 9
Thus probability = 10/72 + 9/72 = 19/72
Answer:
The margin of error for the 94% confidence interval is 0.6154.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean is:

The margin of error of this interval is:

The critical value of <em>z</em> for 94% confidence level is, <em>z</em> = 1.88.
Compute the margin of error for the 94% confidence interval as follows:


Thus, the margin of error for the 94% confidence interval is 0.6154.