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igor_vitrenko [27]
3 years ago
13

A team of biologist tagged and then released 72 salmon in lake Ontario, Canada. Later they captured a sample of salmon from the

same area around 20% of them had tags. estimate the number of salmon in the lake round to the nearest whole number
Mathematics
1 answer:
ioda3 years ago
3 0

Number of salmon in lake is 360 salmon

<u>Given</u>:

Total number of fish released = 72 salmon

Number of salmon catch with tag = 20%

<u>Find:</u>

Number of salmon in lake

<u>Computation:</u>

Number of salmon in lake = Total number of fish released / Number of salmon catch with tag

Number of salmon in lake = 72 / 20%

Number of salmon in lake = 72 / 0.2

Number of salmon in lake = 360 salmon

Learn more:

brainly.com/question/2724587?referrer=searchResults

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Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
Airida [17]

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425

The manager can select a team in 61425 ways.

7 0
3 years ago
Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the
melisa1 [442]

Answer:

C) 1/6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We have 8 + 10 + 4 + 2 = 24 coins

Of those, 4 are nickels. So

p = \frac{4}{24} = \frac{1}{6}

The correct option is given by option C.

3 0
3 years ago
The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimens
Nadusha1986 [10]

to solve  for the dimensions (x+7)(x+2)=66,

we can first use the foiling method to simplify the left side.

x^2 + 2x + 7x + 14 = 66

x^2 + 9x + 14 = 66

now, subtract 66 from both sides.

x^2 + 9x - 52 = 0

now, split this into two parentheses.

(x + 13)(x - 4)

since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.

7 0
3 years ago
The data set shown below has an outlier. Determine the outlier and then answer the questions as to what happens to the median, m
Pachacha [2.7K]

The mean is the average value of the given data set. When the outlier is removed the mean and the median of the data set are changed.

<h3>What are mean, median, and mode?</h3>
  • The mean is the average value of the given data set.
  • The median is the middle value of a given data set when the data is arranged in increasing order.
  • The mode is the number that is repeated the most number of times in a given data set.

The data set can be arranged as 12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35, 48. Now, The means, median and mode for the data set is,

Mean = (29+19+35+27+21+48+23+12+24+26+20+28+30+22+19+32+22) / 17

Mean = 25.7

Median(The middle value when the data is arranged in increasing order) = 24

Mode = 19,22

The outlier in the data set is 48, therefore, the mean median and mode now will be,

12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35

Mean = 24.3125

Median = 23.5

Mode = 19, 22

Hence, when the outlier is removed the mean and the median of the data set are changed.

Learn more about Mean, Median, and Mode:

brainly.com/question/15323584

#SPJ1

4 0
3 years ago
If f(x) = 4х2 +1 and g(x) = х2 – 5, find (f-g)(x).
liq [111]

Answer:

The answer is B

Step-by-step explanation:

f(x) = 4x² + 1

g(x) = x² - 5

(f-g)(x) = 4x² + 1 - (x²-5)

= 4x² + 1 - x² + 5

= 3x² + 6

7 0
3 years ago
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