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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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the average starting salary for this year's graduates at a large university (lu) is $55,000 with a standard deviation of $6,000.
alexira [117]

0.84% of the graduates will receive the tax break

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = x - μ / σ

Z-scores are used to measure how far a measure is from the mean. We find the p-value associated with this Z-score by looking at the z-score table after finding the Z-score. The p-value represents the probability that the measure is smaller than X, which is the percentile of X. The probability of the measure being greater than X is calculated by subtracting 1 from the pvalue.

μ = $55,000 σ = $6,000

This is the pvalue of Z when X = $39,600. So

z = 39600 - 55000 / 6000

z = -2.5

z = -2.5 has a o value of 0.0084

0.84% of the graduates will receive the tax break.

To learn more about similar tax break:

brainly.com/question/15563518

#SPJ4

7 0
1 year ago
Which polynomial represents the area of the rectangle?
wel
Answer:

4x2 - 2x - 6
5 0
2 years ago
What are the integer solutions to the inequality below?<br><br> 4x+1&lt;5x≤3(x+2)
Sindrei [870]

Answer:

1<x≤3

Step-by-step explanation:

7 0
2 years ago
Good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6. what was the price of good x in 1999 dollar
andrey2020 [161]

Answer:

the price of good x in 1999 dollars is 370.89 dollars

Step-by-step explanation:

Given that good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6.

We have cpi and sale price have direct variation

In other words S = kC where C = CPi and S = sales price

In 1945, 40 = 18k or K = 20/9

Using this we can say

Sales price in 1999 would be k (166.6)

=\frac{20}{9} (166.6)\\= 370.89

the price of good x in 1999 dollars is 370.89 dollars

5 0
3 years ago
Identify the slope and y-intercept of the line whose equation is given. write the y-intercept as an ordered pair. y = negative 2
PSYCHO15rus [73]

The line having the equation, y = -2x + 5, has a slope = -2, and y-intercept = (0, 5). Thus, <u>option A</u> is the best choice.

The slope of a line is the tangent of the angle that the line makes with the positive side of the x-axis.

The y-intercept of a line is the point at which the line intersects the y-axis.

The standard form of a line is <u>y = mx + b</u>, where m represents the slope of the line, and b represents its y-intercept.

In the question, we are asked to identify the slope and the y-intercept of the line whose equation is y = -2x + 5.

Comparing the given equation of the line, y = -2x + 5, with the standard equation of a line, y = mx + b, we can say that,

m = -2, and b = 5.

Representing b as an ordered pair, we get (0, 5), as b represents the y-intercept which is a point on the y-axis, where the x-coordinate is always equal to zero.

Thus, we get the slope = -2, and the y-intercept = (0, 5).

The option representing the answer is <u>option A</u>.

Learn more about the slope and the y-intercept of a line at

brainly.com/question/1479018

#SPJ4

3 0
1 year ago
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