Answer:
3
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 1, 2 ] , then
h(b) = h(2) = 0 ← from table for x = 2
h(a) = h(1) = - 3 ← from table for x = 1 , then
average rate of change =
=
= 3
Answer:
see below.
Step-by-step explanation:
1st row has four small boxes
2nd row has three big boxes
big box 1 has no items ragged in it.
big box 2 has small box 1 and also small box 1 dragged into it.
big box 3 has small box 3 and small box 4 dragged into it.
The polynomial graph crosses the x-axis at two points and touches x-axis at one point. It indicates the graph has four roots:




The last two roots have equal value as the graph touches the x-axis (not crosses it)
The graph has three unique roots
Answer:
71.57% of student heights are lower than Darnell's height
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:

Darnell has a height of 161.4 centimeters. What proportion of student heights are lower than Darnell's height?
This is the pvalue of Z when X = 161.4.



has a pvalue of 0.7157
71.57% of student heights are lower than Darnell's height
To get the perimeter, you get the sum of all the sides.
Therefore, the perimeter of the park here is 7+3+10+5 = 25 yards.