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Answered on 19 Apr Learn Areas related to circles
Sadika
To find the radius of the circle formed by bending a wire into an arc subtending an angle of 60∘, we can use the formula for the length of an arc of a circle:
Answered on 19 Apr Learn Probability
Sadika
To find the probability of drawing a card with a number less than 10, we need to determine the total number of favorable outcomes (cards with numbers less than 10) and divide it by the total number of possible outcomes (total number of cards).
read lessAnswered on 19 Apr Learn Probability
Sadika
In a standard deck of 52 playing cards, there are 2 black kings: the king of spades and the king of clubs.
Total number of possible outcomes (total number of cards): There are 52 cards in a standard deck.
Total number of favorable outcomes (black kings): There are 2 black kings in the deck.
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Answered on 19 Apr Learn Probability
Sadika
To find the probability that two different friends have different birthdays, we can consider the total number of possible combinations of birthdays and the number of combinations where the birthdays are different.
In a non-leap year, there are 365 days. Therefore, the probability that two friends have different birthdays is the complement of the probability that they have the same birthday.
Total number of possible combinations of birthdays: Each friend can have their birthday on any of the 365 days of the year. So, the total number of possible combinations of birthdays for two friends is 365×365365×365.
Number of combinations where the birthdays are different: If one friend has their birthday on a specific day, the other friend can have their birthday on any of the other 364 days of the year. So, the number of combinations where the birthdays are different is 365×364365×364.
Now, let's calculate the probability that two different friends have different birthdays:
Probability=Number of combinations where the birthdays are differentTotal number of possible combinations of birthdays
read lessAnswered on 19 Apr Learn Probability
Sadika
To find the probability of not drawing a white marble, we need to consider the total number of marbles in the box and the number of marbles that are not white.
Given:
Answered on 19 Apr Learn Probability
Sadika
In a standard deck of 52 playing cards, there are 2 black queens: the queen of spades and the queen of clubs.
Total number of possible outcomes (total number of cards): There are 52 cards in a standard deck.
Total number of favorable outcomes (black queens): There are 2 black queens in the deck.
Now, let's calculate the probability of drawing a black queen:
Probability=Number of favorable outcomesTotal number of possible outcomes
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Answered on 19 Apr Learn Statistics
Sadika
If each observation in a continuous frequency distribution is increased by 5, the median of the new data set will also increase by 5. This is because the median is the middle value of the data set, and adding the same constant to every observation simply shifts the entire data set by that constant.
read lessAnswered on 19 Apr Learn Statistics
Sadika
Let's denote:
Given:
Answered on 19 Apr Learn Statistics
Sadika
To find the correct mean, we first need to adjust the sum of the observations by adding the difference between the correct value of 125 and the wrongly noted value of 25. Then we can divide this adjusted sum by the total number of observations.
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Answered on 19 Apr Learn Statistics
Sadika
To find the mean of the 32 numbers, we can use the concept of weighted averages.
Given:
Let's denote:
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