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Misha Larkins [42]
3 years ago
12

The number of fish in a lake can be modeled by the exponential regression equation y = 14.08 • 2.08x, where x represents the yea

r. Which is the best prediction for the number of fish in year 7? Round your answer to the nearest whole number.
Mathematics
2 answers:
lorasvet [3.4K]3 years ago
5 0

Answer:

2372 fish

Step-by-step explanation:

Given:

y = 14.08 • 2.08^x

where y represents the number of fish in a lake and x represents the year.

In order to predict the number of fish in year 7, just replace x = 7 in the above equation,  to get:

y = 14.08 • 2.08^(7)

y = 2371.6 ≅ 2372

Naily [24]3 years ago
4 0

Answer:

2372

Step-by-step explanation:

Filling in a 7 for x gives you

y=14.08(2.08)^7

Raise 2.08 to the power of 7 to get

y = 14.08(168.4392677) and multiply to get

y = 2371.62489

Since we cannot have a decimal amount of fish, the population will round to 2372 as a whole number

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A coach divided his team into two groups of equal size.
DerKrebs [107]

Applying the percentages, and considering that 70% of the first group drinks at least 2 glasses of water a day, it is found that 0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

The team is divided into two equal groups, hence, each represents 50%.

The <em>percentages </em>associated with drinking at least 2 glasses of water a day is:

  • 70% of 50%(first group)
  • 75% of 50%(second group)

Hence, applying the weighed percentage, the total percentage is:

T = 0.7(0.5) + 0.75(0.5) = 0.725

0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

A similar problem is given at brainly.com/question/1517088

4 0
3 years ago
The table shows the number of games a chess player won in professional competitions, based on the number of games played.
AfilCa [17]

slope  = (25-4)/(30-10)

 slope = 21/20

slope =21/20  

using point slope form

y-y1 = m(x-x1)

y-4 = 21/20 (x-10)

y = 21/20x -21/2 +4

y = 21/20 x -21/2 +8/2

y = 21/20x -13/2


let x=40

y = 21/20 (40) -13/2

y = 42-13/2

y = 35.5 games


If we round the slope to 1

slope =1

using point slope form

y-y1 = m(x-x1)

y-4 = 1 (x-10)

y = 1x -10 +4

y =  x -6


let x=40

y = 40-6

y = 34 games


4 0
3 years ago
Help on the second graph?
patriot [66]

Answer:

The 2nd Graph is a function.

Step-by-step explanation:

You can tell it's a function because if you flatten the individual line segments along the x-axes, they all connect to form one long line.

HOWEVER, if some of the dots at the end of each line segment were empty circles instead, then it would not be considered a function. You can think of these as holes, not allowing the line to connect in those or that area.

Did that help? ;-;

7 0
3 years ago
Solve using any method. All work must be shown and handwritten.
Rashid [163]

Answer:

x =  - 3

y = 1

Step-by-step explanation:

Write the system

3x - y =  - 10

x + y =  - 2

Solve by Elimination.

multiply the second equation by -3.

3x - y =  - 10

-3x   - 3y =  6

Add the Equations.

- 4y =  - 4

y = 1

Plug this back in one of the equations.

x + 1 =  - 2

x =  - 3

8 0
2 years ago
Read 2 more answers
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
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