Answer:
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Probability of the five numbers matching:
Desired outcomes: 1 -> the matching numbers
Total outcomes: 5 from a set of 47. So
Probability:
Probability of the mega number matching:
1 from a set of 27. So
Probability of both matching:
Independent events, so we multiply the probabilities:
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Answer:
$1348.07
Step-by-step explanation:
Hello!
<h3>Compound Interest Formula:
</h3>
- A = Account Balance
- P = Principle/Initial Amount
- r = Rate of Interest (decimal)
- n = Number of times compounded (per year)
- t = Number of Years
<h3>Given Information</h3>
- Account Balance = ?
- Principle Amount = $1000
- Rate of Interest = 0.02
Why is the Rate 0.02?
This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.
- Number of times compounded per year = 6
This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.
<h2>Solve </h2>
Solve by plugging in the given values into the formula.
This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.
The answer is $1348.07.
Answer:
-12
Step-by-step explanation:
the opposite of 12 is -12
Answer:
A and B
Step-by-step explanation:
Since these both only have one term and number/variable, making it a monomial.
Answer:
(B) Subtract 3x from both sides of the equation, and then divide both sides by 2.
Can't read the second question fully.
(A) 0.53
Step-by-step explanation:
Number 1:
If we have the equation 
, our first goal is to get rid of the x term on one side.
To do this we can subtract 3x from both sides. This leaves our equation to 
. To find x, we want to divide both sides by 2 since 2x divided by 2 is just x. Our goal is to isolate x. This leaves 
.
<em>I couldn't read Number 2 fully - I'm sorry :c</em>
<em></em>
Number 3:
Given the equation 
, we want to isolate x on one side.
To do this, we first apply the distributive property to the left side.
Now subtract 0.6 from both sides:
And divide both sides by 3.
This rounds to 0.53.
Hope this helped!
