Vowels = {a, e, i, o, u}
There are 5 vowels out of 26 letters in the English alphabet. This leaves 26-5 = 21 consonants.
The theoretical probability of getting a consonant is 21/26 = 0.8077 = 80.77% approximately
Wayne found the empirical probability of a consonant as 60% which is quite a distance away from the 80.77% mentioned. The discrepancy is likely because vowels are tended to be used quite often in many words.
Words that are composed of consonants only are quite rare, but they do happen. Example: "fly" is a word with only consonants. I'm considering y to be a consonant.
The answer should be -6 because i substitute the ‘x’ for 2
2(2)-5(2)
4-10
-6
Answer:
First way: change in the 4 in dimension to 8 in
Second way: change in the 5 in dimension to 10 in
Third way: change in the 6 in dimension to 12 in
Step-by-step explanation:
The volume of a rectangular prism can be calculated by multiplying all the 3 dimensions:
Volume = 4 * 5 * 6 = 120 in3
To make a prism of 240 inches changing 1 dimension, Cole can choose any of the three dimensions to change.
First way: change in the 4 inches dimension:
Volume = x * 5 * 6 = 240
x = 8 inches
Second way: change in the 5 inches dimension:
Volume = 4 * x * 6 = 240
x = 10 inches
Third way: change in the 6 inches dimension:
Volume = 4 * 5 * x = 240
x = 12 inches
Answer:
The quantity demanded is 32 and the quantity supplied is 2.
There is a shortage of product by 30 quantity.
Step-by-step explanation:
Let demand for a product be given by the function qd = 80 - 3p and supply be given by qs = 2p - 30 where p is the market price of the product.
If p = $16 for any product then, qd = 80 - 3 × 16 = 32 and qs = 2 × 16 - 30 = 2.
Therefore, the quantity demanded is 32 and the quantity supplied is 2.
So, there is a shortage of product by (32 - 2) = 30 quantity. (Answer)