Answer:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The mean for the binomial distribution is given by:
And the variance is given by:
And the deviation is just the square root of the variance so we got:
2x + x + 33 = 90
3x + 33 = 90
3x = 57
x = 19
Angle 1 = 38°
Angle 2 = 52°
Answer:
0.399
Step-by-step explanation:
The key to doing this problem properly lies in knowing and following order of operations rules.
Here we must perform mult. and div. before addition and subtr., but even before that we must do all work enclosed in parentheses first.
(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:
(228-3) = 225
and
(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:
(570-6) = 564.
Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).
Answer:
(2x +30) and (3x -5) (they're opposite to eachother, so they're equal)
2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)
-1x = -35 (divide both sides by -1 to isolate x)
x = 35 or B (this is your answer)
Step-by-step explanation:
I hope this helps :))
