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fenix001 [56]
2 years ago
11

g A zoologist spots what might be a rare subspecies of beetle, due to the pattern on its back. In the rare subspecies, 98% have

the pattern. In the common subspecies, 5% have the pattern. The rare subspecies accounts for 1% of the population. Given that a beetle has the pattern, what is the probability that it belongs to the rare subspecies
Mathematics
1 answer:
Mumz [18]2 years ago
4 0

Answer:

Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies

Step-by-step explanation:

Probability of having a pattern in rare subspecies = 0.98\\

Percentage of rare subspecies = 1 % = 0.01

Probability of a beetle with pattern belonging to rare subspecies is

=0.01 * 0.98 \\= 0.098

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A cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,46
mart [117]

The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.

<h3>How to illustrate the inequality?</h3>

From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.

Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.

Learn more about inequalities on:

brainly.com/question/13051739

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8 0
1 year ago
3.8(6.5r -7.4) = 45.9
tino4ka555 [31]

Step-by-step explanation:

6.5r - 7.4= 12.1

6.5r = 19.5

r = 3

6 0
3 years ago
What is b in terms of a and c?
aev [14]

Answer:

b=\sqrt{c^2-a^2}

Step-by-step explanation:

The given relation is

c=\sqrt{a^2+b^2}

To make b the subject, we square both sides of the equation to get;

c^2=(\sqrt{a^2+b^2})^2

c^2=a^2+b^2

Isolate b on one side of the equation;

c^2-a^2=b^2

Or

b^2=c^2-a^2

We take the positive square root of both sides to get;

b=\sqrt{c^2-a^2}

6 0
3 years ago
The total mass of raisins in a package is Normally distributed, with a mean of 520 grams and a standard deviation of 5 grams.
alexira [117]

Answer:1.41

Step-by-step explanation:

5 0
2 years ago
C=2(3.14)r; c=14(3.14) solve for r
tekilochka [14]

Answer:

c=2(3.14)r

given c=14(3.14), then r

make r the subject formula and substitute given c=14(3.14)

r=c/2(3.14)

r=14(3.14)/2(3.14)

r=7

Step-by-step explanation:

7 0
3 years ago
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