Answer:
a) It can be used because np and n(1-p) are both greater than 5.
Step-by-step explanation:
Binomial distribution and approximation to the normal:
The binomial distribution has two parameters:
n, which is the number of trials.
p, which is the probability of a success on a single trial.
If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.
In this question:
So, lets verify the conditions:
np = 201*0.45 = 90.45 > 5
n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5
Since both np and n(1-p) are greater than 5, the approximation can be used.
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
<h3>How to determine the possible length of the third side?</h3>
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
brainly.com/question/2403556
Answer:
3/112
Step-by-step explanation:
you take 3/4 and divide it between how many workers you have so that equals 3/112
J is your answer.
Slope is rise over run + your Y intercept.
Your y- intercept is the point in the graph in which the line passes through, the line passes through -2, so you know -2 is going to be your answer at the end. And slope is rise/run.
From one point to another, you rise 1 time , and run over 3 so you know your answer is
y = 1/3x - 2
hope this helps :)
Answer:
565.2
Step-by-step explanation:
Cone=1/3bh
B is pir^2
so that means b=pi36 (6*6 =36)
36*15/3 is 565.2
