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azamat
3 years ago
14

Marine biologists study the number of manatees killed by powerboats in Florida and warn that the growing number of powerboats re

gistered in Florida threatens the existence of manatees. Here are the data where powerboat numbers are in thousand.
Y ear 1982 1983 1984 1985 1986 1987 1988 1989
Manatee killed 13 21 24 16 24 20 15 34
Powerboat 447 460 481 498 513 512 527 559
Year 1990 1992 1993 1994 1995 1996 1997 1998
Manatee killed 33 33 39 43 50 47 53 38
Powerboat 585 614 646 675 711 719 716 716

Mean Standard deviation Correlation coefficient (r)
Manatee killed 42.7826 23.1143 0.9461
Powerboat 672.7391 166.3188

What are the explanatory and response variables in this study?
Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0
Wow okay that’s a lot...gimme a sec
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What is number 61 and a step by step explaination please?
astra-53 [7]

1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3

Recall that m\log_b(n)=\log_b(n^m), so

ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

\log_b(m)+\log_b(n)=\log_b(mn)

\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)

Then

ln(2/3 <em>x</em> ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)

exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)

Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to

2/3 <em>x</em> ¹ʹ³ = exp(3)

Now solve for <em>x</em>. Multiply both sides by 3/2 :

3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)

<em>x</em> ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³

<em>x</em> = 3³/2³ exp(3×3)

<em>x</em> = 27/8 exp(9)

which is the same as

<em>x</em> = 27/8 <em>e</em> ⁹

3 0
3 years ago
The weights (in pounds) of 30 preschool children are listed below. which weights are below the 25th percentile? 25 25 26 26.5 27
Leto [7]

from the first 35 through 25

6 0
3 years ago
Find the area of the circle r = 3 ft
pav-90 [236]

Answer:

9π ft² or approximately 28.26 ft²

Step-by-step explanation:

The area of a circle is A=πr².

Plug 3 in for the radius.

A=π(3²)

A=9π ft²,

or using 3.14 for pi,

Approximately 28.26 ft².

5 0
2 years ago
If u dont know dont worry about it
zhuklara [117]

Answer:

4/15

Step-by-step explanation:

The total number of spins completed is 6+8+7+9 = 30

The letter B came up 8 times

P(B) = number of B's over total

P(B) = 8/30 = 4/15

5 0
3 years ago
"If the probability of an event is observed repeatedly during independent repetitions than the ratio of the observed to the tota
PIT_PIT [208]

Answer:

This is the Law of <u>large</u> Numbers.

Step-by-step explanation:

The Law of Large numbers states that as the sample size is increased the sample mean value gets closer to the population mean.

That is, as <em>n</em> → ∞ the value of \bar x → μ.

For instance, the theoretical probability of getting a Heads in a toss of a coin is, 0.50.

To check this perform an experiment whether the coin is tossed 20 times.

The probability of heads will be somewhere near 0.50.

Now toss the coins 50 times.

The probability of heads will be now closer to 0.50.

Now toss the coins 100 times.

The probability of heads will be approximately equal to 0.50.

Thus, as the number of tosses was increased the probability of getting a head is closer tot he theoretical probability.

Thus, the complete statement is:

This is the Law of <u>large</u> Numbers.

3 0
2 years ago
Read 2 more answers
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