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>
Answer:
y = -5/6x-5
Step-by-step explanation:
because the slopes need to be the same for parallel lines
The answer of the question is 12
"for each hour that she works over 40hrs in a week" key words "for each hour" in that section of the sentence. so we take 489.85 divide that by 9.7 = 50 and then we divide 489.85 by 5 so that we can get 1/5 of 50, then we take 9.7 times 1.5 = 14.55 and divide that by 97.97
489.85/5 = 97.97/14.55 = 6.73 + 40hrs = 46.73hrs
Not sure why it's a decimal.. but I'm 100% sure that's how you solve it
Functions are written in terms of variables. The value of the function given if x = -4 is 50
<h3>Functions and values</h3>
Functions are written in terms of variables. Given the function shown;
f(x) = 3x^2 - x
If the value of x is -4, hence;
f(-4) = 3(-4)^2 - (-2)
f(-4) = 3(16) + 2
f(-4) =48 + 2
f(-4) = 50
Hence the value of the function given if x = -4 is 50
Learn more on function here: brainly.com/question/25638609
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