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dimaraw [331]
2 years ago
11

The population of a city is 40,000 and the annual growth rate is 1.6%. Write an equation to model the population y after x years

.
Mathematics
1 answer:
Anestetic [448]2 years ago
5 0

Y=40,000(1.016)^x

Explanation:

years= x

Predicted population= y

Initial population= 40000

you can find the population y after x years with the help of this function

For example:

If we want to know the population after 5 years, put x=5 and find y

 

Y after 5 years= 40000(1.016)^5

                      =43304

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love history [14]
(m+4)(m+1)

=m^2+5m+4........
3 0
3 years ago
The measure of the supplement of abc equals 180 minus m Abc this is the definition of supplement or complement angle
Veseljchak [2.6K]

Complement: The sum of two angles equals 90°

Supplement: The sum of two angles equals 180°

Answer: Supplement

8 0
3 years ago
g A psychic was tested for extrasensory perception (ESP). The psychic was presented with cards face down and asked to determine
diamong [38]

Answer:

Step-by-step explanation:

Hello!

The objective is to test ESP, for this, a psychic was presented with cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, square.

Be X: number of times the psychic identifies the symbols on the cards correctly is a size n sample.

p the probability that the psychic identified the symbol on the cards correctly

You have to calculate the sample size n to estimate the proportion with a confidence level of 95% and a margin of error of d=0.01

The CI for the population proportion is constructed "sample proportion" ± "margin of error" Symbolically:

p' ± Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )

Where  d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } ) is the margin of error. As you can see, the formula contains the sample proportion (it is normally symbolized p-hat, in this explanation I'll continue to symbolize it p'), you have to do the following consideration:

Every time the psychic has to identify a card he can make two choices:

"Success" he identifies the card correctly

"Failure" he does not identify the card correctly

If we assume that each symbol has the same probability of being chosen at random P(star)=P(cross)=P(circle)=P(square)= 1/4= 0.25

Let's say, for example, that the card has the star symbol.

The probability of identifying it correctly will be P(success)= P(star)= 1/4= 0.25

And the probability of not identifying it correctly will be P(failure)= P(cross) + P(circle) + P(square)= 1/4 + 1/4 + 1/4= 3/4= 0.75

So for this experiment, we'll assume the "worst case scenario" and use p'= 1/4 as the estimated probability of the psychic identifying the symbol on the card correctly.

The value of Z will be Z_{1-\alpha /2}= Z_{0.975}= 1.96

Now using the formula you have to clear the sample size:

d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )

\frac{d}{Z_{1-\alpha /2}} = \sqrt{\frac{p'(1-p')}{n} }

(\frac{d}{Z_{1-\alpha /2}})^2 =\frac{p'(1-p')}{n}

n*(\frac{d}{Z_{1-\alpha /2}})^2 = p'(1-p')

n = p'(1-p')*(\frac{Z_{1-\alpha /2}}{d})^2

n = (0.25*0.75)*(\frac{1.96}{0.01})^2= 7203

To estimate p with a margin of error of 0.01 and a 95% confidence level you have to take a sample of 7203 cards.

I hope this helps!

5 0
3 years ago
Read 2 more answers
Can someone please help me!
vladimir1956 [14]
Hello!

To find the circumference of a circle you do 2 \pi r where r is the radius of the circle

So we do 2\pi 72

Then we substitute pi for 3.14

2 * 3.14 * 72 = 452.16 yds

Then we multiply this by 5 since he runs 5 laps

Which gives us the answer of 2260.8 yds

Hope this helps! 
6 0
3 years ago
What is the remainder when the sum 10 to the power of 3 + 4 to the power of 2 divided by 8?
Basile [38]

Answer:

-76 is the remainder

Step-by-step explanation:

hope helps

7 0
3 years ago
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