Combine like terms 3b + 7c + 2 - b + 2c - 7
2 answers:
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Answer:
a) 0.0256 = 2.56% probability of 4 heads.
0.1296 = 12.96% probability of 4 tails.
b) The probability is 0.0576 = 5.76%.
c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses
Step-by-step explanation:
For each throw, we have these following probabilities:
0.4 = 40% probability of heads.
0.6 = 60% probability of tails.
(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.
4 heads:
4 throws, each with 0.4 probability of heads. So
0.0256 = 2.56% probability of 4 heads.
4 tails:
4 throws, each with 0.6 probability of tails. So
0.1296 = 12.96% probability of 4 tails.
(b) Determine the probability of H T H T in 4 tosses.
H = 0.4, T = 0.6. So
The probability is 0.0576 = 5.76%.
(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Number of outcomes:
The possible outcomes are:
H - H - T - T
H - T - H - T
H - T - T - H
T - H - H - T
T - H - T - H
T - T - H - H
6 outcomes given 2 heads in 4 tosses.
Each with probability 0.0576, as found in b)
6*0.0576 = 0.3456
0.3456 = 34.56% probability of 2 heads in 4 tosses
Answer:
is 171.8 degrees
Step-by-step explanation:
Length of arc subtended by any angle with a radius r is given by
.
For example
to calculate length of circumference
angle subtended by whole circle is 2
Therefore length of circumference is
Similarly we can see that for semicircle angle at center is
hence length of arc is
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Given in the problem length of arc = 3r
radius= r
let the value of angle be
Plug in the value of length of arc in formula to calculate length of arc we have
3r =
= 3r/r = 3
This value of angle subtended is in radian, we need to convert radian into degrees.
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We know that is equivalent to 180 degrees.
Also value of is 3.14
hence 3.14 radian= 180 degrees
=>3.14/3.14 = 180/3.14 ----degrees dividing both side with 3.14
=> 1 radian = 57.325 degrees
=> 1*3 radian = 57.325 * 3 degrees( multiplying both side with 3 as we need to find value of 3 radian into degrees
=> 3 radian = 171.8 degrees.
the measurement of the angle that subtended by the arc is 171.8 degrees or in radian 3 radian