Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:
The 3*2*1 cancels out and leaves us with:
So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.
32.96, to get this answer, you have the divide 890 by 27
Answer:
a) P(X≥143)=0
b) This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Step-by-step explanation:
If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):
Then, we can calculate the probability of X being equal or more than 143 using the z-score:
This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Answer:
-(-4)(-6)*3/5(10+15)
when there is a (-) in front of an expression in parentheses, change the sing of each term in the expression.
4*(-6)*3/5*(10+15)
Add the numbers (10+15)
4(-6)*3/5*25
multiplying an odd number of negative terms makes the product negative
-4*6*3/5*25
reduce the number with the greatest common factor 5
-4*6*3*5
calculate the product
solution
-360
Answer:
x=6, y=75
Step-by-step explanation:
Since the diameter of the circle is a perpendicular bisector to the chord, x and 6 must be equal and therefore x=6. It also bisects the arc, meaning that y=75. Hope this helps!
