There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.
We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3
Overall, there are 10*9*8 = 90*8 = 720 different permutations
Answer: 720
Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer
Answer:
a) (x+2)(x+3)
b) (x+2)(x+3)=0, x=-2 and x=-3
Step-by-step explanation:
Step-by-step answer:
standard deviation (sigma) = 12 inches
mean (mu) = 90 inches.
For 36 years, the standard error of the mean is
e = sigma / sqrt(n) = 12" / sqrt(36) = 2".
Deviation from the mean
= 92.8 -90 = 2.8
Since the standard error of the mean follows the normal distribution, we have
Z=(92.8-90)/2 = 1.4
Looking up the normal distribution tables, or check R, we find
P(Z>1.4) = 1-P(Z<1.4) = 1-0.9192433 = 0.08075666
Answer: P(snowfall>92.8) = 0.0808 (to four decimal places)
Answer:
3/4 of the area of the circle is of 
squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
In which the center is 
and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:
Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:
Area of the circle:
What is 3/4 of its area?
3/4 of the area of the circle is of squared units.
Dalia had an average airspeed of ⇒ 42 miles per hour.
The average wind speed was ⇒ 12 miles per hour.
