Answer:
a) 122,523,030
b) 72,930,375
c) 223,149,655
d) 100,626,625
Step-by-step explanation:
Consider that there are 5 vowels and 21 consonants in the English alphabet
a) exactly one vowel?
There a 6 possible positions for that vowel (6)
There are 5 ways to choose 1 vowel. (5)
There are 5 other positions to place one of the 21 consonants. (21^5)
b) exactly two vowels?
There are C(6,2) possible positions for both vowels (C(6,2))
There are 2 positions to choose a vowel out of 5 vowels. (5^2)
There are 4 other positions to place one of the 21 consonants. (21^4)
c) at least one vowel?
The number of possibilities that the string contains at least one vowel is the number of total possible outcomes minus the number of outcomes with only consonants:
d) at least two vowels?
The number of possibilities that the string contains at least two vowels is the number of possibilities that the string contains at least one vowel minus the number of possibilities that the string contains exactly one vowel:
Answer:The roots of any quadratic equation is given by: x = [-b +/- sqrt(-b^2 - 4ac)]/2a. Write down the quadratic in the form of ax^2 + bx + c = 0. If the equation is in the form y = ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y axis is equal to 0.
Step-by-step explanation:
The answer would be 13.6
You can find out by setting this up as a proportion
Now cross multiply 5 x 1 = 5 and now divide 68/5 = 13,6 and we can check this by multiplying 13.6 x 5 = 68 so we know our 13.6 is correct
I hope it is right. So just learn from it and do. Thank you.
Answer:
dude this was last year stuff
Step-by-step explanation: