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WINSTONCH [101]
2 years ago
15

Find the range of the following list of numbers: 16, 23, 12, 12, 20, 21, 16, 33, 21, 16.

Mathematics
2 answers:
yulyashka [42]2 years ago
3 0
Add all the numbers together then divide by the amount there is so the answer is B
Pepsi [2]2 years ago
3 0
It’s A because 33-12 is 21
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20 points!~ And thanks if you help me.
katovenus [111]

Answer:

the answer is b

-18              -18

x6              x-6

____       _____

-108           108

3 0
2 years ago
Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t
Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53  is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) =  2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53  is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0
3 years ago
29. Family income in the middle class: Bauer et al. (2011) identified the median income of a middle-class family in their sample
GREYUIT [131]

Answer:

No it is not

Step-by-step explanation:

The median is 84200

The mean is 85300

Low income is 65100

High income is 103400

From this information, we can see a skewed data. The mean would not be a good estimate value. Rather the center (median) would be more appropriate.

When we calculate the middle value for this data

65100+103400 = 168500/2 = 84250

84250 is closer to the median score of 84200. The median is best in the presence of outliers.

8 0
2 years ago
Reduce the fraction -20t5u2v3 / 48t7u4v .
kondor19780726 [428]
Deal with the numbers and variables step by step 

-20/48  = -5/12
t5 / t7 = t^-2 = 1 /t2
u^2 / u^4 = u^-2 = 1/u^2
v^3 / v = v^2

so answer is      -5v^2 / 12t^2u^2
6 0
3 years ago
Mario purchases a prepaid phone plan for $50. Each minute he uses costs $0.13. How many minutes can Mario talk on this plan? Wri
Mekhanik [1.2K]
0.13 cents per minute

$50 per month

13 goes into 5,000 = 384

384 minutes per month
6 0
3 years ago
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