There are pens on sale for 3 pens for 6 dollars. Sasha bought 3 pens. Malachi bought 1 pen. How much more did Sasha spend than M
2 answers:
Answer:
Sasha spent $4 more than Malachi.
Step-by-step explanation:
Pens are selling at the rate of 3 pens for 6 dollars.
Therefore, cost of one pen =
= $2
Now Sasha bought 3 pens so the cost of 3 pens = 3×2 = $6
Malachi bought 1 pen so Malachi spent for one pen = $2
Difference between Sasha and Malachi expenditure = $6 - $2
= $4
Therefore, Sasha spent $4 more than Malachi.
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Answer:
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Step-by-step explanation:
Let , the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all
, roots are determined by:
(1)
Where ,
,
are coefficients of the polynomial.
If we know that ,
and
, then roots of the polynomial are, respectively:
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Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.