Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:

What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.




The score that cuts off the bottom 2.5% is 48.93.
Simple.....
always remember the y-intercept is where your line hits the y-axis... or where it hits the vertical axis...
As we can see this line hits the y-axis at (0,3)-->> y-intercept=3
Thus, your answer.
<h2>
Hello!</h2>
The answer is:
In 2036 there will be a population of 32309 rabbits.
<h2>
Why?</h2>
We can calculate the exponential decay using the following function:

Where,
Start Amount, is the starting value or amount.
Percent, is the decay rate.
t, is the time elapsed.
We are given:

Now, substituting it into the equation, we have:






Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.
Have a nice day!
Answer:
<u>a) 100m</u>
<u>b) 2m/s</u>
Step-by-step explanation:
a)==>> <u>2+4</u>+<u>6+8</u>+10(8) = 100m
b)==>> Variable "a" = change OVER time (
) = 8m/4s = 2m/s