A number cube is rolled 120 times. The number 4 comes up 47 times.
We have to determine the experimental probability of rolling a 4.
The formula to evaluate probability of an event is given by:
Probability = 
So, Probability of rolling a 4 = 
= 
Now, we have to find the theoretical probability of rolling a 4.
Total number of outcomes of number cube = {1,2,3,4,5,6}
Probability of rolling a 4 = 
So, Option B is the correct answer.
Answer: r= 1.22
Step-by-step explanation:
Formula for amount with simple interest = 
, where
P= principal value , r= rate of interest , t = time.
Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

Formula to compute compound amount : 

When both have same worth then

taking log on both sides , we get

Hence, Value of r= 1.22
Answer: the answer is 10%
Step-by-step explanation: 1/10. You have to get the denominator to 100 so, you would x10 the debonair. You do the same to the top and get 10/100. So, 10%
Answer: -0.729
Step-by-step explanation:
Here we want to analyze the given exponential equation. The answers are:
- initial value = 7500
- Rate of growth = 1.03
- Percent of change = 3%
<h3>
General exponential equation:</h3>
The general exponential equation is just:
y = A*(r)^x
Where:
- A is the initial value
- r is the rate of growth or decay
- (r - 1)*100% gives the percent of change.
Now that we know the general form, we can look at our equation:
y = 7500*(1 + 0.03)^x
Using the above information, we can see that:
- initial value = 7500
- Rate of growth = 1 + 0.03 = 1.03
- Percent of change = (1.03 - 1)*100% = 3%
If you want to learn more about exponential equations, you can read:
brainly.com/question/11832081