There are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
<u>Explanation:</u>
FRIDAY is a six letter word.
To form all combinations of letters, we would have six choices of letters to fill the first spot. Whatever letter you choose for the first spot, you then have five choices of letters to fill the second spot. Four choices of letters to fill the third spot. And so on.
So, the total number of different combinations of the six letters would be 6!
6! = 6 X 5 X 4 X 3 X 2 X 1
= 720
DAY could appear consecutively starting in 4 different spots: the 1st, 2nd, 3rd, and 4th spots of all combinations. DAY will appear consecutively 6 times in each of those 4 starting spots.
6 X 4 = 24.
So, there are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h .
In the question ,
a figure is given ,
From the figure we can see that 2 parallel lines are cut by a transversal .
So ,
angle a = angle d .......because vertically opposite angles .
angle a = angle e ...because corresponding angles are equal in measure
also
angle e = angle h .... because vertically opposite angles .
Therefore , If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h , the correct option is (a) .
Learn more about Angles here
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Answer: It's 35.5 and 38.5
Step-by-step explanation:
First, subtract 74 by 3 giving you 71.
Next, divide 71 by 2; it gives you 35.5 (that's your first number).
Then, add the 3 that you took away to 35.5 and get 38.5 (that's your second number).
Answer: Pt= 3/256
Step-by-step explanation:
For each round the probability of winning is:
Pw = number of blue dotted ducks/ total number of ducks
Pw= 5/20 ( since the duck is being replaced)
The probability of losing is:
Pl= number of ducks without blue dotted belly/ total number of ducks
Pl = 15/20
Therefore the probability of winning 3 times out of 4 is:
Pt= Pw× Pw×Pw×Pl
Pt= (5×5×5×15)/(20×20×20×20)
Pt= 1875/160000
Pt= 3/256
Goodluck...
