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4vir4ik [10]
3 years ago
11

To track the reptile population around a lake, researchers marked 36 turtles. A few weeks later, they counted 400 turtles, of wh

ich 20 were marked. To the nearest whole number, what is the best estimate for the turtle population?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer: 720

Step-by-step explanation:

From the question, we are informed that cthe researches counted 400 turtles, of which 20 were marked. This implies that 20/400 = 1/20 were marked.

If the researchers wanted to track the reptile population around a lake, and the researchers marked 36 turtles, the estimate of the total population will then be:

1/20 × x = 36

x/20 = 36

x = 20 × 36

x = 720

The turtle population is 720

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What is the probability that 6 rolls of a fair die will show four exactly 5 times?
storchak [24]

Answer:

very less

Step-by-step explanation:

When rolling a fair 6 sided die 5 times there are 6^5 possible combinations.

Of those, there are 5 ways to roll exactly four sixes, and each of those ways have 5 possible results on the die which has not rolled a six, plus there is 1 way to roll five sixes. 5*5+1=26 combinations with at least four sixes.

Now, take the number of results which fit your conditions, divide by the number of possible results and you get your answer: 26/7776 which can be reduced to 13/3338, a bit less than 0.4%

6 0
3 years ago
Calculate the premiums for the following insurance policies. Mary pays $417.25 for automobile insurance, of which $32 is for com
jek_recluse [69]
Answer: $609.88

Explanation:

Since Mary has two accidents in one year, we will use the note in the problem to compute for the new annual premium.

Using the note in the problem, we have the following steps:

- Subtract $32 from the original premium:

Result = $417.25 - $32 = $<span>385.25

- Then, get 150% of the resulting number in the previous step. First, convert 150% to decimal. So, 150% = 1.5

Result = </span>150% of $385.25 = 1.5 × $385.25 = $<span>577.875

- Finally to get the new premium, we add $32 to the resulting number in the previous step:

New Premium = </span>$577.875 + $32 = $<span>609.875
</span><span>
Since there is no half cents that exists today, we round-off the new premium to the nearest cent. Hence, the new premium is $</span><span>609.88.</span><span>
 
</span>
6 0
3 years ago
Read 2 more answers
A square garden has an area of 100 square feet. What is the perimeter of the garden? show your work.​
rusak2 [61]

Answer: 40

Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.

4 0
3 years ago
How does 4 × 1/2 = 1 explain
iragen [17]

Answer: The answer is not 1 it's 2

Step-by-step explanation:

Multiply 4*1 to get 4

Multiply 1*2 to get 2

Your answer should be 4/2 which equals 2

7 0
3 years ago
Read 2 more answers
When you last balanced your checkbook, you had $463.76. You then wrote checks for $12.56, $52.11 and $26.03. You deposited $101.
Sonja [21]

Add your checks: 12.56 + 52.11 + 26.03 = 90.70

Subtract that from starting balance:

463.76 - 90.70 = 373.06

Add the deposits:

373.06 + 101.32 + 10.98 = 485.36

Your balance is correct.

Subtract your balance from the bank balance:

511.39 - 485.36 = 26.03

The difference is the amount of one of the checks you wrote, which means that check has not been cashed yet.

You did not do anything wrong.

5 0
3 years ago
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