26 total letters, 10 total digits
with repeated letters/numbers:
26 * 26 *26 * 10* 10*10 = 17,576,000 ways
without repeats:
26 *25*24 *10 *9*8 = 11,232,000 ways
Answer:
Step-by-step explanation:
P(A) = 0.70
P(B) = 0.20
P(A n B) = P(A) x P(B)
P(A n B) = 0.70 x 0.20
P(A n B) = 0.14
"Or" means that they are mutually exclusive, which it does not specifically mention, therefore B and C are out.
So this is trig, and when it comes to right (90°) triangles, it's imperative that you know:
SOH-CAH-TOA
Sine (x) = Opposite/Hypotenuse
Cosine (x) = Adjacent/Hypotenuse
Tangent (x) = Opposite/Adjacent
*hypotenuse is always the largest side, and the one opposite the 90° angle in right triangles
therefore we'll use SOH, because the opposite of x (O) and the hypotenuse (H) are given:
Sine (x) = Opposite/Hypotenuse
Sine (x) = 32/58 = 16/29 = 0.552
Sine (x) = 0.552
now we use something called arc-sine, or

it's basically a fancy function of most advanced calculators, so we'll plug it in as:

x = 33.49° --> answer B) is correct
Answer:
The ratio of green apples to red apples is
.
Step-by-step explanation:
Given,
Number of red apples = 21
Number of green apples = 18
We have to find out the ratio of green apples to red apples.
Solution,
For finding the ratio we have to divide the number of green apples to the number of red apples.
So, we can frame the above sentence as;

Now substituting the values, we get;

Hence The ratio of green apples to red apples is
.