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Greeley [361]
4 years ago
8

Four students have applied to a special program and only one can be accepted. they have taken a battery of 12 tests and all have

exactly the same average score. the standard deviations of their test scores are: student a= 3.12, student b= 0.27, student c= 13.45, student d= 6.45. if consistency of performance is a criteria for acceptance, which of the four students should be selected?
Mathematics
1 answer:
ser-zykov [4K]4 years ago
7 0
Student b=0.27 should be selected
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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
3 years ago
Solve for n<br><br> 5 5/6 +n = 10 1/12
Kobotan [32]

Answer:

Exact form:

N = 17/4

Decimal form:

N = 4.25

Mixed Number form:

N = 4 1/4

Step-by-step explanation:

Solve for N by simplifying both sides of the equation, then isolating the variable.

4 0
3 years ago
Evaluate what is the answer to<br> 3.4<br> +<br> 5.14
Ymorist [56]
3.4
5.14
______

8.54

If we round the answer
We get 8.5

Guess I gave you the correct answer
7 0
2 years ago
Which linear equation BEST represents the line of best fit for the scatterplot?
cluponka [151]
It is D. it has a negative slope and is not as steep as -3
7 0
3 years ago
Read 2 more answers
Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).
katrin [286]
The factored form is (y^2+9)(y^2-9).

Plug the two terms into the equation by finding the root of both.
√y^4= y^2
√81= 9

From here, you plug the terms into the form (x+y)(x-y)
(y^2+9)(y^2-9)

Hope this helps!
6 0
3 years ago
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