Answer:
81.86%
Step-by-step explanation:
We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.
First of all we will find z-score using z-score formula.
Now let us find z-score for 86.
Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.
Using normal distribution table we will get,
We will use formula 
to find the probability to find that a normal variable lies between two values.
Upon substituting our given values in above formula we will get,
Upon converting 0.81859 to percentage we will get
Therefore, 81.86% of final exam score will be between 68 and 86.
Answer is B
4 square root of 2i
Answer:
x= 12.9 (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
1. Label the hypotenuse, adjacent and opposite side of the triangle.
2. Look at the given information.
3. Decide if you should use sine, cosine or tangent.
sine angle= opp/hyp
cosine angle= adj/hyp
tangent angle= opp/adj
Answer:
Step-by-step explanation:
21 is the side opposite the angle you want.
67 is the hypotenuse. Those two sides define the Sin
Sin(theta) = opposite / hypotenuse
Sin(theta) = 21 / 67
Sin(theta) = .313432
theta or x = sin-1(0.313432)
x = 18.27
Sorry, I must have hit the wrong key the first time.
Answer:
a
Step-by-step explanation:
ur basically just saying that uts increasing by the same amount when one variable in the equation changes
