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exis [7]
3 years ago
12

In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

and is increasing by a rate of approximately 2.1%.If this trend continues, approximately how many million gallons of water will be used by Lee County by the year 2025? Round to the nearest million
Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

62 million gallons

Step-by-step explanation:

To get the amount of water to be used, we approximate it using an exponential equation.

Mathematically;

A = I( 1 + r)^t

where A is the volume of water by the year 2025

I is the volume of water in the year 2019 which is 55 million

r is the rate of increase in water demand which is 2.1% or simply 2.1/100 = 0.021

t is the number of years which is 2025-2019 = 6 years

Now plugging these values into the exponential equation, we have;

A = 55,000,000(1 + 0.021)^6

A = 55,000,000(1.021)^6

A = 62,304,173.899295434 gallons

To the nearest million, this is equal to 62,000,000 gallons

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Suppose the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water tend to be approximately n
Irina-Kira [14]

Answer: 0.0475

Step-by-step explanation:

Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.

Given: \mu=85,\ \ \sigma=9

The probability that a given 1-ml will contain more than 100 bacteria will be:

P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z

∴The probability that a given 1-ml will contain more than 100 bacteria

0.0475.

3 0
3 years ago
7/10 - 1/2 whats the answer
Serjik [45]
To find the answer, we can use expansion to turn the fraction’s denominator to be the same:

1/2
= 1×5 / 2×5
=5/10

We can then proceed to find the answer:

7/10 - 5/10
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Therefore the answer is 1/5.

Hope it helps!
7 0
3 years ago
Read 2 more answers
Line with a slope 6 passes through the points (2,-10) and (5,g)
Irina-Kira [14]

Answer:

8 =g

Step-by-step explanation:

We have two points so we can use the slope formula

m = ( y2 -y1)/(x2-x1)

6 = ( g - -10)/(5-2)

6 = (g+10)/(5-2)

6 = (g+10)/3

Multiply each side by 3

6*3 = g+10

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4 0
3 years ago
What is the answer to 1 3 x + 5 x = -6
mixer [17]

Answer:      

x2-6=5x

Step-by-step explanation:

4 0
3 years ago
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Hey (; I'm taking this rigorous AP Stat course and I've mastered Binomial Sampling but this Geometric Sampling just has me stump
chubhunter [2.5K]

Answer:

1) It is geometric

a) In each trial you can obtain 11 or obtain something else (and fail)

b) Throw 2 dices and watch if the result is 11 or not

c) The probability of success is 1/18

2) It is not geometric, but binomal.

Step-by-step explanation:

1) This is effectively geometric. When you see the sum of 2 dices, you can separate the result in two different outcomes: when the sum is 11 and when the sum is different from 11.

A trial is constituted bu throwing 2 dices and watching if the sum of the dices is 11 or not.

In order to get 11 you need one 5 in one dice and 1 six in another. As a consecuence, you have 2 favourable outcomes (a 5 in the first dice and a 6 in the second one or the other way around). The total amount of outcomes is 6² = 36, and all of them have equal probability. This means that the probability of success is 2/36 = 1/18.

2) This is not geometric distribution. The geometric distribution meassures how many tries do you need for one success. The amount of success in 10 trias follows a binomial distribution.

4 0
3 years ago
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