Answer:
see explanation
Step-by-step explanation:
A recursive formula allows us to calculate any term in the sequence from the previous term.
These are the terms of a geometric sequence with r being the common ratio between consecutive terms.
r = 4 ÷ - 2 = - 8 ÷ 4 = 16 ÷ - 8 = - 2
Multiplying a particular term by - 2 gives the next term in the sequence.
Hence recursive formula is
= - 2 with a₁ = - 2
Answer:
(a) (b)
Step-by-step explanation:
GIVEN: Suppose that two cards are randomly selected from a standard card deck.
TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without replacement? (b) What is the probability that the first card is a club and the second card is a club if the sampling is done with replacement.
SOLUTION:
(a)
Probability that first card is club
As sampling is done without replacement.
probability that second card is club
Probability that first card is club and second card is club
(b)
Probability that first card is club
As sampling is done with replacement.
probability that second card is club
Probability that first card is club and second card is club
1/5 because you can't have 0/5
Answer:
a) 236/100 = 2.36
b) 101/100 = 1.01
c) 814/100 = 8.14
Step-by-step explanation:
The divisor in each case is already a factor of 100, so multiply the numerator and denominator by the number that will make the denominator 100. Then add 100 times the integer to the numerator of the fraction.
a) 2 9/25 = (200 +9·4)/(25·4) = 236/100 = 2.36
b) 1 1/100 = (100 +1)/100 = 101/100 = 1.01
c) 8 7/50 = (800 +7·2)/(50·2) = 814/100 = 8.14
____
Since each of these fractions has a denominator of 100, the decimal can be written by putting the least significant digit of the numerator in the hundredths place of the decimal number.
For example, for 236/100, putting 6 in the hundredths place puts 3 in the tenths place and 2 in the units place for a decimal number of 2.36.
Answer:
5,597 nickels and 4 pennies
Step-by-step explanation:
First, we can take away 4 cents since we know 4 isn't divisible by 5.
Our new number would be 279.80
Then, we divide 279.80 by 0.05 since 0.05 is what a nickel equals>
279.85/0.05 = 5597
Therefore, he would have 5,597 nickels and 4 pennies.