The outcomes on rolling a 5-sided die are : {1,2,3,4,5,6}
The factors of these outcomes are:
1 = 1 x 1
2 = 1 x 2
3 = 1 x 3
4 = 2 x 2
5 = 1 x 5
6 = 2 x 3
1 is not a prime number. So the numbers which have 2 prime factors are 4 and 6.
Thus, number of favorable outcomes = 2
The probability of rolling a number with exactly 2 prime factors = 2/6 = 1/3
Answer:
B. 548926
Step-by-step explanation:
Given
SYSTEM => '131625', and KARMA => '94854'
Required
MARKET is coded as?
To solve this, we simply map out each letter to the given characters;
This is done as follows:
S-> 1
Y-> 3
S-> 1
T-> 6
E -> 2
M-> 5
K-> 9
A-> 4
R-> 8
M-> 5
A -> 4
Remove repetitions
S-> 1
Y-> 3
T-> 6
E -> 2
M-> 5
K-> 9
R-> 8
A -> 4
Now, we can code MARKET using the same system
M-> 5
A -> 4
R-> 8
K-> 9
E -> 2
T-> 6
MARKET => 548926
Answer:
$151,257.12
Step-by-step explanation:
7.5% is the annual interest rate, the monthly interest rate is:

The amount (P) that must be deposited into an account at a rate 0.625% per month for 7 months in order to obtain $158,000 is given by:

$151,257.12 must be deposited into the account today.
Answer:
s + 3w = 64
Step-by-step explanation:
s represents the amount of strawberry juice
w represents the amount of water
then,
s + 3w = 64
We are given the set of points
<span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)}
If w is the function name and t is the input variable, then the equation has the form
w = k a^t
Plugging in any two of the points to solve for k and a
Choosing </span>(1, 60) and (2, 240)<span>
60 = k a
k = 60 / a
240 = k a^2
Substituting
240 = 60/a (a^2)
a = 4
and
k = 60 / 4 = 15
The function is
w = 15 (4^t)</span>