Answer:
10^-5 or 1/100,000
Step-by-step explanation:
That probability of 5 events in a row is the 5th power of the probability of one of them, assuming they are independent.
0.1^5 = (10^-1)^5 = 10^-5
Answer:
10
Step-by-step explanation:
do prime factorizations of each number and multiply the common factors
20 = 2 · 2 · 5
30 = 2 · 3 · 5
common factors are 2 and 5
multiply them to get 10
The following table shows the probabilities for rolling a certain number with a two-dice roll. If you want the probabilities of rolling a set of numbers (e.g. a 4 and 7, or 5 and 6), add the probabilities from the table together. For example, if you wanted to know the probability of rolling a 4, or a 7:
3/36 + 6/36 = 9/36.
Answer:
Option a:
a=79
b=1.002
r=0.2%
Step-by-step explanation:
Q = 79 (1.002)^t
Q = a b^t = a (1+r)^t
Comparing with the formulas:
a=79
b=1.002
1+r=1.002
Solving for r: Subtrating 1 both sides of the equation:
1+r-1 = 1.002 - 1
r = 0.002
Writting r as percent:
r = (0.002) 100%
r = 0.2%
Answer:
the cost of brand x dog food is $2
Step-by-step explanation:
Let brand X dog food be represented as A
Let Brand Y dog food be represented as B
3 bags of Brand X dog food and 4 bags of Brand Y dog food costs $18,
3A+4B=18
4 bags of Brand X dog food and 3 bags of Brand Y dog food costs
$17.
4A+3B= 17
Using Elimination method
Multiply
- 3A+4B=18 by coefficient of B in equ ii (3) = 9A+12B=54
- 4A+3B= 17 by coefficient of B in equ i (4) = 16A+12B=68
- subtract equation i from equation ii, since sign is the same in both equations
- 9A+12B-(16A+12B)= 54-68
- open bracket
- 9A+12B-16A-12B= 54-68= -14
- 9A-16A+12B-12B= -14
- -7A= -14
- divide both sides by -7
A = -14/-7= 2
Since the brand X dog food is represented as A
the cost of brand x dog food is $2
