Help with math hw please
1 answer:
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<h2>Answer:</h2>
1. A coin is tossed four times. What is the probability of getting four heads?
Each toss has a 1/2 chance of getting a head.
So the chance of getting all four heads can be calculated as :
2. A coin is tossed four times. What is the probability of getting two heads?
Each toss can have 2 results, so 4 flips will have or 16 results.
Getting two heads means getting two tails also. So, we can get the number of times two heads come = = 6
We can write the groups like - {HHTT,HTHT,HTTH,THHT,THTH,TTHH}
So, the required probability is : 6/16 or 3/8.
3. Not getting two heads means getting 3 tails and 1 head or all tails.
Probability of having all tails =
Probability of one head(1st trial) and three tails = 1/16
Probability of one head (2nd trial) and three tails (the 1st, 3rd and 4th trials) = 1/16
Probability of one head (3rd trial) and three tails (the 1st, 2nd and 4th trials) = 1/16
Probability of one head (4th trial) and three tails (the 1st, 2nd and 3rd trials) = 1/16
So, the total probability showing only one or none head and at least three tails =
Answer:
Step-by-step explanation:
A = (-3,0) , B = (1,3) , and C = (1,-3)
We're going to use the distance formula to find the length of the sides:
we can use the cosine law to find the angle:
it is to be noted that:
the angle CAB is opposite to the BC.
the angle ABC is opposite to the AC.
the angle BCA is opposite to the AB.
to find the CAB, we'll use:
Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!
To find the angle ABC
finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.
this can also be checked using the fact the sum of all angles inside a triangle is 180