Answer:
KL = 4
Step-by-step explanation:
JL = 4
Answer:
The probability that a randomly chosen code starts with M and ends with E is 0.05 ....
Step-by-step explanation:
According to the given statement we have to make five letter code from A, F, E, R, and M without repeating any letter. We have to find that what is probability that a randomly chosen code starts with M and ends with E.
Thus the probability of picking the first letter M = 1/5
After that we require the sequence (not E, not E, not E) which is equal to:
= 3/4 * 2/3* *1/2
= 1/4
Now multiply 1/5 and 1/4
1/5 * 1/4
= 1/20
= 0.05
Therefore the probability that a randomly chosen code starts with M and ends with E is 0.05 ....
Answer:
The least amount of numbers that he can work at his job to have enough for the headphones he wants is 17 hours.
Step-by-step explanation:
To find the number of hours you could divide the cost of the headphones by the amount he earns each hour so you would do $119/ 7 to get 17 and then you could check your answer with multiplication by multiplying 7 * 17 to get 119 which shows that he has to work at least 17 hours to get the headphones he wants.
$119 / 7 = 17
17 * 7 = 119
Answer:
(a) 350
(b) 175
(c) 21
(d) 196
Step-by-step explanation:
Number of females = 7
Number of males = 5
Total ways of selecting r items from n items is
(a)
Total ways of selecting 3 females and 2 males.
(b)
Total ways of selecting 4 females and 1 male.
(c)
Total ways of selecting 5 females.
(d)
Total ways of selecting at least 4 females.
Total ways = 4 females + 5 females
Cross multiply the expression so that we can get
(1+sinx)(1-sinx) = cos^2 x
1 - sin^2 x = cos^2 x
cos^2 x + sin^2 x = 1
since
cos^2 x + sin^2 x = 1
therefore
1 = 1
the two expressions are identical in a trigonometric sense
