Average speed the others are categorical.
Answer:
A= 30
Step-by-step explanation:
This requires several steps.
First, you need to find the 2 other missing angles.
One can be found easily by substracting 130 from 180
so 180-130 = 50
The other angle is the same as 8x+4
Now set up your equation
180=3x-6 + 8x+4 +50
180 = 3x + 8x -6 + 4 +50
180+6-4-50 = 11x
132 = 11x
132/11 = x
12 = x
Now plug in 12 for x in your angle A
A=3x-6
A=3 * 12 - 6
A=36 - 6
A= 30
Overtime is over 40 so subtract 40 from 54 and get
54-40=14
14 hours hovertime
so multipliy usuall pay by 40 (since worked 40 normal hours) then add to overtime pay by 14 hours so
(13.5 times 40)+(13.5 times 1.5 times 14)=
540+283.5=823.5
answer is $823.50
The simulation of the medicine and the bowler hat are illustrations of probability
- The probability that the medicine is effective on at least two is 0.767
- The probability that the medicine is effective on none is 0
- The probability that the bowler hits a headpin 4 out of 5 times is 0.3281
<h3>The probability that the medicine is effective on at least two</h3>
From the question,
- Numbers 1 to 7 represents the medicine being effective
- 0, 8 and 9 represents the medicine not being effective
From the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two
So, the probability is:
p = 23/30
p = 0.767
Hence, the probability that the medicine is effective on at least two is 0.767
<h3>The probability that the medicine is effective on none</h3>
From the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none
So, the probability is:
p = 0/30
p = 0
Hence, the probability that the medicine is effective on none is 0
<h3>The probability a bowler hits a headpin</h3>
The probability of hitting a headpin is:
p = 90%
The probability a bowler hits a headpin 4 out of 5 times is:
P(x) = nCx * p^x * (1 - p)^(n - x)
So, we have:
P(4) = 5C4 * (90%)^4 * (1 - 90%)^1
P(4) = 0.3281
Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281
Read more about probabilities at:
brainly.com/question/25870256
Answer:
The mean of X is 122.5 and the standard deviation is 7.9.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
So
The mean of X is 122.5 and the standard deviation is 7.9.
