Answer:
Step-by-step explanation:
The standard form of this exponential function is
where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

Answer:
15.87% probability that a randomly selected individual will be between 185 and 190 pounds
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 problem, we have that:

What is the probability that a randomly selected individual will be between 185 and 190 pounds?
This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So
X = 190



has a pvalue of 0.8944
X = 185



has a pvalue of 0.7357
0.8944 - 0.7357 = 0.1587
15.87% probability that a randomly selected individual will be between 185 and 190 pounds
Check the picture below. You can pretty much just count the units off the grid.
In parallelogram LMNO, NO = 10.2, and LO = 14.7. The basic property of a parallelogram that the opposite sides in a parallelogram are equal; so, two sides are 10.2 (NO=LM=10.2), and two sizes are 14.7, = (LO=MN=14.7).
The perimeter of the parallelogram LMNO is:
P= 2NO + 2LO.
P= (2 x 10.2)+(2 x 14.7).
P= 20.4 + 29.4.
So, P= 49.8.