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ICE Princess25 [194]
3 years ago
7

elephant sanctuary contains adult and baby elephants the ratio of adult elephants to baby elephants is 5 find and interpret the

value of the ratio

Mathematics
1 answer:
Butoxors [25]3 years ago
3 0
That means for every 5 adult elephants there is 1 baby elephant, that also means that there are 5 times more adults than babies

If you were looking for a more specific answer just let me know in comments and i will do it
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There are 3 red marbles, 5 green marbles, and 2 blue marbles in a jar. Event A is defined as drawing a red marble from the jar o
Anastaziya [24]

P(B/A) is \frac{5}{9} in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

  • P(B|A) is called the "Conditional Probability" of B given A
  • Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
  • The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)

∵ There are 3 red marbles, 5 green marbles, and 2 blue

   marbles in the jar

∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

   replacement

- That means red is already occurred when green is happened,

  so it is a "Conditional Probability" of green given red

  P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

   the first draw

∴ P(A) = P(red)

∵ P(red) = \frac{3}{10}

∴ P(A) = \frac{3}{10}

∵ Event B is defined as drawing a green marble on the second draw

∴ P(B) = P(green)

- The number of marbles after the red is chosen is 9

∵ P(green) = \frac{5}{9}

∴ P(B) = \frac{5}{9}

- Find P( A and B)

∴ P(A and B) = ( \frac{3}{10} ) . ( \frac{5}{9} )

∴ P(A and B) = \frac{15}{90}

- Simplify the fraction by divide up and down by 15

∴ P(A and B) = \frac{1}{6}

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) = \frac{\frac{1}{6}}{\frac{3}{10}}

- Simplify the fraction

∵ \frac{1}{6} ÷ \frac{3}{10} = \frac{1}{6} × \frac{10}{3} = \frac{10}{18}

- Divide up and down by 2

∴ P(B/A) = \frac{5}{9}

P(B/A) is \frac{5}{9} in the simplest form

Learn more:

You can learn more about probability in brainly.com/question/10744457

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
If g(x)= x+1/x-2 and h(x)=4-x, what is the value of (g times h)(-3)
Alchen [17]

g(-3)=\frac{-3+1}{-3-2}=\frac{2}{5} \\ \\ h(-3)=4-(-3)=7 \\ \\ (g\times h)(-3)=7\left(\frac{2}{5} \right)=\boxed{\frac{14}{5}}

6 0
2 years ago
Housing costs are what percentage of monthly net income? Use the budget sheet to calculate. Round your answer to the nearest who
schepotkina [342]

Answer:

See below  

Step-by-step explanation:

The formula for calculating percent is

% = (cost of item/total cost) × 100 %

% = (cost of item/1875) × 100 %

% = (cost of item/18.75) %  

You can use the same formula to calculate the percent for each item in the budget. For example,

Housing: % = 420/18.75 = 22 %

You can do this for each budget item and get the table below.

\begin{array}{lrr}\text{Expense} & \text{Cost} & \%\\\text{Housing} & 430 & 22\\\text{Food} & 300 & 16\\\text{Utilities} & 125 & 7\\\text{Transportation} & 320 & 17\\\text{Savings} & 500 & 27\\\text{Other} & 200 & 11\\\text{TOTAL} & 1875 & 100\\\end{array}

4 0
3 years ago
A rectangular field is enclosed by 600 feet of fencing. What is the length, in feet, of the field if its length is 10 feet more
erastova [34]

Answer:

60

Step-by-step explanation:

8 0
3 years ago
The managers of 21 supermarkets counted the number of cars in their parking lots on the same day. The results are shown in the l
mixer [17]

The IQR is 42.5

Step-by-step explanation:

Interquartile range is the difference of third and first quartile.

First of all we have to find the median for that purpose the data has to be arranged in ascending order. The data is already in ascending order.

As the number of values are odd

n=21

The median will be: (\frac{n+1}{2}) th\ term

Putting n=21

(\frac{21+1}{2})th\ term\\=(\frac{22}{2})th\ term\\= 11th\ term

The 11th term is 133

So median = 133

Now the data is divided into two halves

One is: 98, 100, 101, 102, 108, 109, 111,118, 129, 132

2nd is: 135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q1 will be the median of first half and Q3 will be the median of 2nd half.

As now the halves contain even number of values, the medians will be the average of middle two values

<u>For First Half:</u>

98, 100, 101, 102, <u>108, 109</u>, 111,118, 129, 132

Q_1 = \frac{108+109}{2}\\Q_1 = \frac{217}{2}\\Q_1 = 108.5

<u>For Second Half:</u>

135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q_2 = \frac{146+156}{2}\\Q_2 = \frac{302}{2}\\Q_2 = 151

Now

<u>Interquartile Range:</u>

IQR = Q_3-Q_1\\= 151-108.5\\=42.5

Hence,

The IQR is 42.5

Keywords: Median, IQR

Learn more about median at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrianly

7 0
3 years ago
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