MATHEMATICS HIGH SCHOOL

You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of the letters in the word 'MATH'?A)
1
676

B)
2
13

C)
2
26

D)
3
26

Answers

Answer 1
Answer:

The probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that you have 26 cards, each labelled with a letter of the alphabet.

The probability of drawing a card that contains one of the letters in the word 'MATH' is calculated as:-

Probability = Number of favourable outcomes / Number of samples

Probability = 4 / 26

Probability = 2 / 13

Therefore, the probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

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Answer 2
Answer: B) 2 13 because there are 4 letters in the word "math" meaning 4 probabilities af drawing one of those cards. 4/26 is simplified to 2/13

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I’m sure it’s only A/E, apologies if wrong

6358 was rounded to the nearest one.

What is the lower bound?

Answers

The lower bound of the number 6358 when rounded to the nearest one (nearest whole number) remains 6358 since it is already a whole number.

Rounding a number to the nearest one implies that we are rounding it to the nearest whole number or integer. In this case, the number 6358 was rounded to the nearest whole number, which means we want to find the lower bound of this rounded value.

When we round 6358 to the nearest whole number, we find that it becomes 6358 itself because it is already a whole number. Therefore, the lower bound of the rounded value is the same as the original value, which is 6358.

In summary, when 6358 is rounded to the nearest one (nearest whole number or integer), the lower bound of the rounded value is also 6358 because the original number is already a whole number. There is no change in the value when rounding to the nearest one in this case.

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3 is the lowest in that bound

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Cecil is buying almonds and cashews. A bag of almonds costs $7.00 and a bag of cashews costs $9.00. Cecil has $60 to spend on the nuts. Cecil wants to purchase at least 2 bags of almonds. Cecil does not want the cost of the cashews to exceed the cost of the almonds. What is the maximum number of bags of cashews that Cecil can buy?

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Answers

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Answers

x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}
x² -12x  = 13                       way to obtain 36   >       (-12/2)²  =  36    
x²  -12x + 36 =13 +36      since we add 36 to the left,we must also add 36 to the right
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x =  -1    or    13
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