Answer:
Last one:
The probability of the spinner not landing on A and rolling a prime number is 1/3
Step-by-step explanation:
The probability of the spinner not landing on A: 2/3
Prime outcomes on a dice:
2, 3, 5
The probability of rolling a prime number: 3/6 = 1/2
The probability of the spinner not landing on A and rolling a prime number is:
2/3 × 1/2
1/3
= 9n + 63
generate the first few terms using the recursive equation
f(1) = 72
f(2) = 72 + 9 = 81
f(3) = 81 + 9 = 90
f(4) = 90 + 9 = 99
the sequence is 72, 81, 90, 99, .....
This is an arithmetic sequence whose n th term formula is
=
+ (n - 1 )d
where
is the first term and d the common difference
d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and
= 72
= 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula
$9 per hour for 14 hours the first week can be found by doing 9 • 14, which equals 126.
In the first week, Erika earned $126.
$9 per hour for 20 hours for the second week can be found by doing 9 • 20, which equals 180.
In the second week, Erika earned $180.
To find the total amount Erika earned in both weeks, add how much she made in week 1 to how much she made in week 2.
126 + 180 = 306
Erika made $306 during these 2 weeks.
The answer to number 1 is B