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Varvara68 [4.7K]
3 years ago
6

22/110 to its lowest terms

Mathematics
2 answers:
Dmitrij [34]3 years ago
3 0
Find the GCF, in this case 11, and divide both the numerator and denominator by it. Here, it turns out to be 2/11 because 22÷11 is 2 and 110÷11 is 11.
lys-0071 [83]3 years ago
3 0

22/110 =

divide 22 and 110 by 22

and your answer is:

1/5 as fraction or 0.2 as decimal

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Simplify the rational expression by rationalizing the denominator √15/√6x
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√10/2x

Step-by-step explanation:

Multiply by √6 on the top and bottom to rationalize the denominator.

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While traveling to the office, dolly drives her car at a speed of 60 kmph and then suddenly the car stopped on half of her dista
lisabon 2012 [21]

The average speed of Dolly is 33.33kmph.

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The average speed is defined as the total distance travelled by the object in a particular interval of time. It can be calculated by dividing the total distance travelled by the total time taken.

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There are
maria [59]
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4 years ago
In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 g
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Answer:

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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)!}

All girls from the first group:

20 students, so N = 20

10 girls, so k = 10

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163

All girls from the second group:

20 students, so N = 20

5 girls, so k = 5

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006

All girls from the third group:

20 students, so N = 20

8 girls, so k = 8

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

7 0
3 years ago
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