Answer:

Step-by-step explanation:
We have a certain expression and are asked to find its equivalent with the answers provided :

Remove the parenthesis around 3m^5 :

Do the exponent rule for outside and inside exponent parenthesis :


Apply addition exponent rule :

Add :

Apply the addition rule for -12 + 5 :

Apply negative exponent rule for m^-7 :

Multiply the fractions :


An ecosystem is a geographic area where plants, animals, and other organisms, as well as weather and landscape, work together to form a bubble of life.
Given:
The limit problem is:

To find:
The value of the given limit problem.
Solution:
We have,

In the function
, the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.
So, the function approaches to positive infinity as x approaches to negative infinity.

Therefore,
.
Answer:
A score of 150.25 is necessary to reach the 75th percentile.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.
This means that 
What score is necessary to reach the 75th percentile?
This is X when Z has a pvalue of 0.75, so X when Z = 0.675.




A score of 150.25 is necessary to reach the 75th percentile.
Answer:
B
Step-by-step explanation:
(1/2) * (2 x - 6) (x - 2)
is equivalent to
x^2 - 5 x + 6