Answer:
2/3
1
3/2
Step-by-step explanation:
We have been given that the test scores on a final exam are normally distributed with a mean of 74 and a standard deviation of 3. We are asked to find the probability that a randomly selected test has a score higher than 77.
First of all, we will find z-score corresponding to sample score 77.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we need to find .
We will use formula to find the probability greater than a z-score of 1.
Using normal distribution table, we will get:
Therefore, the probability that a randomly selected test has a score higher than 77 would be 0.15866.
The figure suggests that the two sub-triangle are similar, because they are both right and the angle at the top is the same.
If that is the case, we can claim that the correspondent sides are in proportion:
Solving for x we have
Answer:
7
Step-by-step explanation:
The remainder from division by (x+1) is the value of f(-1). That remainder is the number at the lower right of the synthetic division tableau, 7.
PEMDAS
add 14 to 6
5*(20)+4
multiply
100+4
104