Answer:
Probability that you get more than $500 on your first spin and then go bankrupt on your second spin is:
0.02
Step-by-step explanation:
There are 24 segments on the wheel in total.
6 segment are of more than $500 and 2 are the bankruptcy spaces.
P(more than $500 on first spin and bankrupt on second spin)
=P(more than $500 on first spin)×P(bankrupt on second)
=
Hence, probability that you get more than $500 on your first spin and then go bankrupt on your second spin is:
0.02
Answer:
4 hours
Step-by-step explanation:
Given
Car 1:
Car 2:
--- i.e. 2 hours after car 1
Required
Determine the time car 1 will meet car 2
To do this, we calculate the distance of both cars using:
For Car 1:
For Car 2:
Open bracket
When car 2 meets up with car 1, they are at the same distance.
So:
Collect Like Terms
Solve for h
<em>Car 2 will catch car 1; 4 hours from the start</em>
Answer:
-185.75297
Step-by-step explanation:
Solution:-
- We are testing whether the population mean u is equal to 100 as per claim.
Null hypothesis: u = 100
- Where a alternate hypothesis suggest that the population mean ( u ) may be lower:
Alternate hypothesis: u < 100
- We are given sample data parameters which are assumed to be normally distributed:
sample mean, x_bar = 9
sample standard deviation, s = 2.4
- A sample of n = 24 observation was taken from a population of ( N ) with unknown population standard deviation ( σ ).
- The conditions of standard normal distribution are no longer applicable i.e:
n = 24 < 30
unknown population standard deviation ( σ )
- We will model the sample using t-distribution with ( n - 1 ) = 23 degrees of freedom.
- The t-statistics of the sample mean x_bar can be determined from standard t-distribution:
- The t-test value for mean ( u ) is -185.75297