a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.
b) Using the function, the estimate for the population in 2020 is of 26,400.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:
m = -2400/12 = -200.
Hence the equation is:
P(t) = -200t + 29600.
2020 is 16 years after 2004, hence the estimate is:
P(16) = -200(16) + 29600 = 26,400.
More can be learned about linear functions at brainly.com/question/24808124
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X^2+5^2=7^2
x^2+25=49
(49-25)
x^2=24
sqrt(24)=4.89897948557
Answer:
The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 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 minimum weight for a passenger who outweighs at least 90% of the other passengers?
90th percentile
The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So
The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Hello there!
2(x - 3) = 2x + 5
Let's start by using the distributive property for the left side.
(2)(x) + (2)(-3) = 2x + 5
2x - 6 = 2x + 5
Then we need to add 6 to both sides
2x - 6 + 6 = 2x + 5 + 6
2x = 2x + 11
We need to transfer 2x on the left side, we gonna do that by subtracting 2x from both sides
2x - 2x = 2x + 11 - 2x
0 = 11
Thus,
There are no solutions.
I hope this helps!
Good luck with your career!
Answer:
the second one
Step-by-step explanation:
it is not 2/3 because it is 1/2
