Answer:
Luis wants to buy a skateboard that usually sells for $79.99
all merchandise is discounted by 12% = 0.12
Discount amount = sale price * discount percentage
= 79.99 * 0.12 = 9.5988
Selling price after discount = 79.99 - 9.5988 = 70.3912
Now we apply sales tax for the price after discount
sales tax of 6.75 % = 0.0675
Tax amount = price after discount * tax percentage
= 70.3912 * 0.0675= 4.751406
the total cost of the skateboard = Price after discount + tax amount
=70.3912 + 4.751406 = 75.142606
$75.14 is the total cost of the skateboard
Step-by-step explanation:
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
Answer:
100ft
Step-by-step explanation:
5 × 2 = 10
2 × 2 = 4
10 × 10 = 100
Answer:
75°
Step-by-step explanation:
180°-105°=75°
Hope this helps!
If not I am sorry.
Answer:
5.877
Step-by-step explanation: