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ludmilkaskok [199]
4 years ago
7

. A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged

Mathematics
1 answer:
lana66690 [7]4 years ago
7 0

Answer:

250 tagged 5500 total = 15 tagged x total x=330 fish were sampled.

Step-by-step explanation:

A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged. A ranger collected a sample in which there were 15 tagged fish. Approximately how many fish were in the sample the ranger collected?

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Which function rule describes the pattern in the table?
lakkis [162]

The correct answer is B.

In order to prove which of the function rules provided is the one corresponding to the schedule represented by the table, the different y-values need to be sustituted in the function rules. <u>Only the correct function rule will yield the corresponding x-value. </u>

<u>Let's prove that option B is the correct one</u>

FUNCTION B y= 5x - 14

  • If x= -4 --> substituting: 5(-4) - 14= -20 - 14= -34 therefore, y= -34 <u>CORRECT</u>
  • If x= -1 --> 5(-1)-14 = -5 - 14= -19 therefore y= -19 <u>CORRECT</u>
  • If x= 2 --> 5(2) - 14=  10-14= -4, therefore y= -4 C<u>ORRECT</u>
  • If x= 4 --> 5(4)-14= 20-14= 6, therefore y=6<u> CORRECT</u>
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8 0
3 years ago
what is the answer I need help
torisob [31]
The selected answer is correct
6 0
3 years ago
Let X be the mean of a random sample of size n = 64 from the uniform distribution on the interval (0, 3), i.e. f(x) = ( 1 3 , 0
allochka39001 [22]

Answer:

P ( 1.2 < X < 2.1 ) = 0.3

Step-by-step explanation:

Given:

Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)

f(x) = 1 / (b - a)

Where a < x < b is the domain at which function is defined:

f(x) = 1 / (3) = 1 / 3

Where, X - U ( u , δ )

u = ( a + b ) / 2 = (0 +3) / 2 = 1.5

δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866

Hence,

X - U ( 1.5 , 0.866 )

There-fore calculating P ( 1.2 < X < 2.1 ):

P ( 1.2 < X < 2.1 ) = \int\limits^b_a{f(x)} \, dx

Where, a = 1.2 and b = 2.1

P ( 1.2 < X < 2.1 ) = x / 3 |

P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3

Answer: P ( 1.2 < X < 2.1 ) = 0.3

6 0
3 years ago
Solve the inequality. <br> 2x-5&lt;9 <br> The solution is:
natali 33 [55]

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

8 0
3 years ago
Gabrielles age is three times Mikes age. The sum of their age is 88 what is Mikes age?
WINSTONCH [101]

Answer:

22

lets say that mike's age is x.

then gabrielle's age is 3x

that means that

x+3x=88

4x=88 /:4

x=22

8 0
3 years ago
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