(40 POINTS)

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

7 0

Answer:

1. f(0) = 501170

2. decreasing

3. 2% decrease

4. 302438

Step-by-step explanation:

In 1995 x=0

f(x) = 501170(0.98)^0

f(0) = 501170

The population is decreasing since we are multiplying by .98 ^x

.98 is less than 1 so it is getting smaller each time.

1 -.98 = .02

It is decreasing by 2 % each year

2020-1995 =25 years

f(25) = 501170(0.98)^25

=302438.41862

Rounding to the nearest whole number

302438

You might be interested in

Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 o

zhenek [66]

Answer:

The p-value would be 0.0939

Step-by-step explanation:

We can set a standard t-test for the Null Hypothesis that $H_0: 18.2\geq 17$

The test statistic then takes the form

$t=\frac{18.2-17}{3.9/\sqrt{15}}=1.317$

with this value we then can calculate the probability that is left to the right of this value $P(X>1.317)$ . From theory we know that t follows a standard normal distribution. Then $P(X>1.317)=0.0939$ which is smaller than the p-value set by Breyers of 0.10