Answer:
The estimate of the proportion of oil tankers that had spills is 0.25.
Step-by-step explanation:
Proportion of oil tankers that had spills:
1036 tankers.
777 did not have spills.
So 1036 - 777 = 259 had spills.
The proportion is:
The estimate of the proportion of oil tankers that had spills is 0.25.
Answer:
(16√75)/(5√12) = 8
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
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<span>Let a_0 = 100, the first payment. Every subsequent payment is the prior payment, times 1.1. In order to represent that, let a_n be the term in question. The term before it is a_n-1. So a_n = 1.1 * a_n-1. This means that a_19 = 1.1*a_18, a_18 = 1.1*a_17, etc. To find the sum of your first 20 payments, this sum is equal to a_0+a_1+a_2+...+a_19. a_1 = 1.1*a_0, so a_2 = 1.1*(1.1*a_0) = (1.1)^2 * a_0, a_3 = 1.1*a_2 = (1.1)^3*a_3, and so on. So the sum can be reduced to S = a_0 * (1+ 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) which is approximately $5727.50</span>
