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10 people always get on a bus in the same order and sit on the same places. what is the probability that, if the 1st person has

kap26 [50]

The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7

From the above observations,

The probability that the 10th will be able to sit on his/her original seat

= 7 / 9

Learn more about Probability at

brainly.com/question/13659160

#SPJ4

8 0

11 months ago

Please answer the question in the photo, thanks!

belka [17]

Answer:

$\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}$

Step-by-step explanation:

The question relates to dividing a fraction by proper and another fraction

The given expression is presented as follows;

$2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )$

We rearrange the fractions as improper fractions for easier division as follows;

$2\dfrac{1}{3} = \dfrac{7}{3}$

$-3\dfrac{2}{3} = -\dfrac{11}{3}$

Therefore, we have;

$2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}$

$\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}$

4 0

2 years ago

A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece. If a

3241004551 [841]

The length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Further explanation:

In the question it is given that if an object is viewed under a microscope then the object appears $100$ times large than its original size.

It is given that the length of a insect is $0.095$ centimeter.

This question is based on the concept of multiplication of decimals.

Consider the length of the insect as $x\text{ cm}$ .

Since, the length of insect is $0.095$ centimeter so, trhe value of $x$ is $0.095$ .

As per the question the size of the final image is $100$ times large as the original size so, the size of final image is calculated as follows:

$\boxed{S=x\times 100}$

Substitute $0.095$ for $x$ in the above equation.

$\boxed{\begin{aligned}S&=x\times 100\\&=0.095\times 100\\&=9.5\end{aligned}}$

From the above calculation it is concluded that the length of the insect in the final image is $9.5\text{ centimeter}$ .

Therefore, the length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Learn more:

1. Learn more about numbers brainly.com/question/4736384

2. Learn more about scientific notation of numbers brainly.com/question/4736384

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.

5 0

3 years ago

Read 2 more answers

Which choice does NOT match the shape with its correct number of sides?

Usimov [2.4K]

The answer is heptagon because a heptagon is a shape with 7 sides, not 6. :)

7 0

3 years ago

Which of the binomials below is a factor of this trinomial?<br> 4x2 + 21x + 5

guapka [62]

Answer:

B. 4x + 1

Step-by-step explanation:

4x^2 + 21x + 5

= (4x + 1)(x + 5)

Factors of this trinomial are (4x + 1) and (x + 5)

Answer

(4x + 1)

8 0

3 years ago