Answer:
B 125.6
Step-by-step explanation:
We can use the formula for the circumference to solve.
C=2
r
C=2
(20)
C=(6.28)(20)
C=125.6
51 + 3x+5 = 107
Simplify the left side:
3x + 56 = 107
Subtract 56 from both sides:
3x = 51
Divide both sides by 3:
x = 51 / 3
x = 17
Angle F and the outside angle of 107, need to equal 180 degrees.
F - 180 - 107 = 73 degrees.
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 9 rolls, hence
.
- Of the six sides, 2 are 3 or 4, hence

The desired probability is:

In which:

Then



Then:


0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
Answer:0.8413
Step-by-step explanation:
Mean= 188, Std Dev. =20.8, Z=(x-mean)/Std Dev
P(X less than 167.2)= P(Z less than (167.2-188)/20.8)
=P(Z less than (-20.8/20.8))
=P(z less than -1)= P(Z less 1)
The value of 1 in the normal distribution table is 0.3413
So we add 0.5 to 0.3413 =0.8413