Answer:
It takes 10 years approximately for the population to reach 22,500
Step-by-step explanation:
Given:
Initial population = 8000
Population growth rate 4.5 %
Future population = 22500
To Find:
Time taken to reach a population of 22500
Solution:
The population growth can be identified by using
where
N is future popluation
is the initial population
t is the time taken
r is the rate of the growth
Here we have to find the time t, rephrasing the formula
Substituting the values we get,
t = 9.97
t=10(approx)
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall
A means an area
s side of the square, because of all sides are equal
then Area=s*s or Area=s²
so
A=9*9=81yd²
Answer:
41.94% probability that a worker earned between $400 and $500.
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:
What is the probability that a worker earned between $400 and $500?
This is the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 400. So
X = 500
has a pvalue of 0.7422
X = 400
has a pvalue of 0.3228
So there is a 0.7422 - 0.3228 = 0.4194 = 41.94% probability that a worker earned between $400 and $500.
