Answer:
A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?
Answer:
1/6
Step-by-step explanation:
P(8) = number of 8's / total = 1/3
Then keeping the card so we have 7 and 9
P(7) = number of 7's / total = 1/2
P(8, keep, 7) = 1/3 * 1/2 = 1/6
Answer:
-x³ + 5y + 3
Step-by-step explanation:
It helps to rewrite the given polynomial according to its degree (exponent), in <u>descending</u> order. Also, for variables without a coefficient, it helps to include "1" with it to make it less confusing when combining like terms.
- x³ + 3y + ( 1 )y + ( 1 )y + 5 + 2 - 4
One way to simplify a polynomial is to combine the like terms if there are any. Two or more terms in a polynomial are like terms if they have the same variable(s) with the same exponent.
- x³ is the only term with an exponent of 3, so we wouldn't have to combine it with other terms. We need to combine the terms with the variable "y," as they have the same degree of 1.
- x³ + 5y + 5 + 2 - 4
Lastly, combine the constants (5 + 2 - 4):
- x³ + 5y + 3
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