Answer:
- (27n^3 - 12n - 1) over 3n
Step-by-step explanation:
Answer:
u= 144
Step-by-step explanation:
Answer:
0.3520
Step-by-step explanation:
We have been given that the pulse rates among healthy adults are normally distributed with a mean of 80 beats/second and a standard deviation of 8 beats/second. We are asked to find the proportion of healthy adults have pulse rates that are more than 83 beats/sec.
First of all, we will find z-score corresponding to sample score of 83 as:
, where,
z = Z-score,
x = Sample score,
= Mean,
= Standard deviation.
Upon substituting our given values in z-score formula, we will get:

Now, we need to find the probability that a z-score is greater than 0.38.
Using formula
, we will get:

Using normal distribution table, we will get:



Therefore, 0.3520 of healthy adults have pulse rates that are more than 83 beats/sec.
Answer:9=d, 10=a, and 11=c
Step-by-step explanation:
Hello,
Here i am using vectors

==> AB//DC and AD//BC (definition of a translation)
The quadrilater ABCD is a parallelogram:
so
1) his diagonals have the same length;
2) his diagonals are cutting in the middle.
(these are proprieties of a parallelogram)