Answer:
$10.52 tip should be given to the waiter.. The total bill including tax is $67.33
Step-by-step explanation:
We are given the following in the question:
Pre-tax amount = $52.60
Tip percentage = 20%
Tax percentage = 8$
Tip value =

Thus, $10.52 tip should be given to the waiter.
Tax value =

Total bill =
Pre tax amount + Tip + Tax

Thus, the total bill including tax is $67.33
Step-by-step explanation:
Note: Question does not indicate if probability required is for weight to exceed or below 3000 lbs. So choose appropriate answer accordingly (near the end)
Using the usual notations and formulas,
mean, mu = 3550
standard deviation, sigma = 870
Observed value, X = 3000
We calculate
Z = (X-mu)/sigma = (3000-3550)/870 = -0.6321839
Probability of weight below 3000 lbs
= P(X<3000) = P(z<Z) = P(z<-0.6321839) = 0.2636334
Answer:
Probability that a car randomly selected is less than 3000
= P(X<3000) = 0.2636 (to 4 decimals)
Probability that a car randomly selected is greater than 3000
= 1 - P(X<3000) = 1 - 0.2636 (to 4 decimals) = 0.7364 (to 4 decimals)
Hello from MrBillDoesMath!
Answer:
-5, 0 (multiplicity 2), +4
Discussion:
Let f(x) = x^4 + x ^3 - 20 x^2
Factor x^2 from each term:
f(x) = x^2 ( x^2 + x - 20) = x^2 ( x +5) (x-4)
f = 0 when x = 0 (multiplicity 2) and x = -5 or x = 4
Regards,
MrB
Answer: 283 cm2
Step-by-step explanation:
The formula for finding the surface area of a cone is:
A=
Where r is the radius and h is the height.
Replacing: 
Solving: 282,7 ≈ 283cm2