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never [62]
3 years ago
12

The number of fish in a lake decreased by 25% between last year and this year.

Mathematics
2 answers:
Talja [164]3 years ago
7 0
The population would be 45 fish
Softa [21]3 years ago
6 0

Answer: This population, the population is 45 fish.

Step-by-step explanation: This problem can be solved by a rule of three.

Last year there were 60 fish in the lake. That was 100, that is, decimal 1.

This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So

60 fish - 1

x fish - 0.75

This population, the population is 45 fish.

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The interest on an investment varies directly as the rate of interest. If the interest is $43 when the interest rate is 4%, find
Sonbull [250]

9514 1404 393

Answer:

  $86

Step-by-step explanation:

Since the interest varies directly, doubling the rate will double the interest.

The interest is $86 when the rate is 8%.

8 0
3 years ago
An estimated regression equation that was fit to estimate ductility in steel using its carbon content was found to be significan
AnnZ [28]

Answer:

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

Step-by-step explanation:

Hello!

Considering the dependent variable:

Y: Ductility in steel.

And the independent variable:

X: Carbon content of the steel.

The linear regression was estimated and a prediction interval was calculated.

The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=x_{0}]

In this case 95% prediction interval for Y/X=0.5

At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.

I hope it helps!

6 0
3 years ago
The graph of ƒ(x) = -√x is shifted to the right five units. The domain of the function represented by this graph is x ≥>≤<
Mars2501 [29]

Answer:

Domain = [5,∞)

Step-by-step explanation:

Given: f(x)=-\sqrt{x}

We are given that f(x) is shifted right by 5 units.

Rule : f(x)→f(x-b)

The graph f(x) shifted b units right

So, using rule : -\sqrt{x} →   -\sqrt{x-5}

So, g(x)=-\sqrt{x-5}

Now to find domain:

x-5>0

x>5

So, Domain = [5,∞).

8 0
3 years ago
What is 11183333.3 in scientific notation
umka2103 [35]
11183333.3/10^7 = 1.11x10^-7.
8 0
3 years ago
What is the difference
azamat

Answer:

4

Step-by-step explanation:

6 0
3 years ago
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