Given that S<span>am's distribution of meal costs has a mean of $9 and a standard deviation of $3, this means that the range of Sam's meal cost that are within one standard deviation is given by ($9 - 3, $9 + 3) = ($6, $12).
Given that Sam </span><span>always tips the server $2 plus 10% of the cost of the meal, this means that when the cost of the meal is $9, Sam tips $2 + (0.1 x 9) = $2 + $0.9 = $2.90
Therefore, the mean of the distribution of Sam's tips is $2.90
Similarly, the </span><span>range of Sam's tips that are within one standard deviation is given by ($2 + 0.1(6), $2 + 0.1(12)) = ($2 + 0.6, $2 + 1.2) = ($2.6, 3.2) = ($2.9 - $0.3, $2.9 + $0.3)
Therefore, </span><span>the standard deviation of the distribution of Sam's tips is $0.3</span>
I guess you mean the derivative of:
√7x + √2x, if so then:
Remember that the derivative of √u = 1/(2√u) . u'
if 7x = u, then u' = 7 , hence the derivative of √7x is 7/(2√7x)
Use same logic for √2x and you will find:
y' = 7/(2√7x) + x/√2x
<h3>
Answer: 36.04 dollars</h3>
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Explanation:
He gets a 15% discount, so he pays the remaining 85%. The two percentages add to 100%.
85% in decimal form is 0.85
The 6% sales tax means we also have the multiplier 1.06 to indicate a 6% increase.
The two factors 0.85 and 1.06 multiply to 0.85*1.06 = 0.901
This tells us that Andrew's father pays 90.1% of the original bill
0.901*40 = 36.04 dollars
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An alternative method:
15% of $40 = 0.15*40 = 6
Andrew's father saves $6
The bill of $40 drops to 40-6 = 34 dollars before tax.
6% of $34 = 0.06*34 = 2.04
The father pays $2.04 in tax to get a total bill of 34+2.04 = 36.04 dollars
Answer:
Step-by-step explanation:
If I read this correctly...
5 1/5^3= 5.20^3=140.608
5(5)^3=625
If this isn't the correct problems, sorry. it was kind of hard to decipher the last one.
