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sergiy2304 [10]
3 years ago
5

A pond is freshly stocked with 6 brown trout and 18 lake trout. The first fisherman in the area catches and releases a trout. He

catches another trout a while later. What is the probability that the fisherman caught lake trout each time?
A.1/16

B.1/8

C.5/92

D.5/96
Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Number of brown trout = 6

Number of lake trout = 18

Total number of trouts = 6+18=24

Probability to catch a lake trout first time = \frac{18}{24}

As the fisherman let the trout go, so probability for the second time is =

\frac{18}{24}

Hence, the probability becomes=

\frac{18}{24}\times\frac{18}{24}=\frac{324}{576}

= \frac{9}{16}

The probability to find the brown trout is \frac{1}{16}

as , \frac{6}{24}\times\frac{6}{24}=\frac{36}{576}

= \frac{6}{96}=\frac{1}{16}

Jet001 [13]3 years ago
5 0

Answer:

9/16

Not given in the options.

Step-by-step explanation:

Probability is the number of possible outcome expressed as a fraction of the total outcome.

Number of brown trout = 6

Number of lake trout = 18

Total number of trout = 18 + 6 = 24

Probability of picking a brown trout = 6/24

Probability of picking a lake trout = 18/24

The probability of picking a lake trout twice (with replacement)

= 18/24 × 18/24

= 9/16

Not given in the options.

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Which function corresponds to the table of inputs and outputs?
Anarel [89]

Answer:

f(x) = 3x + 2

Step-by-step explanation:

That's easy to find out.  You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).

All you have to do is see if each of the proposed answer works for ALL entries in the data set.

f(x) = 3x + 2  

for x = 3 ===>  11 = 3 (3) + 2 = 11 YES

for x = 5 ===>  17 = 3 (5) + 2 = 17 YES

for x = 7 ===>  23 = 3 (7) + 2 = 23 YES

for x = 9 ===>  29 = 3 (9) + 2 = 29 YES

f(x) = 2x + 5  

for x = 3 ===>  11 = 2 (3) + 5 = 11 YES

for x = 5 ===>  17 = 2 (5) + 5 = 15 NO - we stop here for this function

f(x) = x + 7  

 for x = 3 ===>  11 = (3) + 7 = 10 NO - we stop here for this function

f(x) = 3x + 1

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7 0
3 years ago
1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and se
Sladkaya [172]

The content of care package would be a board game and several snack packs.

Given is the weight of board game = 4 pounds.

The weight of one snack pack = \frac{1}{2} \;pounds = 0.5 \;pounds

The total weight would be less than 25 pounds.


Solving for part A :

Let 'x' represents the number of snack packs.

So the weight of all snack packs would be 0.5x pounds.

Now weight of care pack = weight of board game + weight of all snack packs.

weight of care pack = 4 + 0.5x

But total weight must be less than 25 pounds.

So the inequality would be: 4 + 0.5x < 25


Solving for part B :

Solving the inequality 4 + 0.5x < 25

⇒ 4 + 0.5x - 4 < 25 - 4

⇒ 0.5x < 21

⇒ x < 42


Solving for part C :

Since x < 42 and x is an integer number, so x = 41.

She can include maximum of 41 snack packs in the care package.

7 0
3 years ago
If f(x) = 2x + 1 and g(x) = x2 - 2, find f(g(3)).
padilas [110]

Answer:

15

Step-by-step explanation:

g(3)=(3)^2-2=7

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7 0
3 years ago
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(I'm helping someone else) Is a triangle with sides of length 6 ft., 21 ft., 23 ft. a right triangle? Show how you know.
MaRussiya [10]
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4 0
3 years ago
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Help me please it’s due today
Zolol [24]

Answer:

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We must solve the equation to find the time (t) when the ball reaches its maximum height (h).  

The coefficient of t² is negative, so the parabola opens downward, and the vertex is a maximum.

One way to solve this problem is to convert the equation to the vertex form.

We do that by completing the square.

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h = -16t² + 56t  

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(-1/16)h = t² - ⁷/₂t

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Add and subtract it on the right-hand side

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Write the first three terms as the square of a binomial

(-1/16)h = (t - ⁷/₄)² - 49/16

Multiply both sides by -16

h = -16(t - ⁷/₄)² + 49

You have converted your equation to  the vertex form of a parabola:

y = a(t - h)² + k = 0,

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h = ⁷/₄ and k = 49, so the vertex is at (⁷/₄, 49).

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The graph below shows that the ball reaches a maximum height of 49 ft after 1.75 s.

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