MATHEMATICS MIDDLE SCHOOL

There are ten cards, each has a different number on it, from 1 to 10. Sam took one card, and it was 5 on it. If he takes one of the remaining cards without looking, what is the probability that the sum of the numbers on his two cards will be smaller than 8?

Answers

Answer 1

Answer:

there are 9 cards left

1,2,3,4,6,7,8,9,10

the only cards that will make the sum less than 8 is 1 and 2

2/9

Answer: 2/9

Answer 2

Answer:

Answer:

2/9

Step-by-step explanation:

The original group of cards consisted of: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

He took a 5.

The current group of cards consists of: 1, 2, 3, 4, 6, 7, 8, 9, 10

Which cards can he take and have a sum less than 8?

5 + 1 = 6 good

5 + 2 = 7 good

5 + 3 = 8 not good

Only the cards with 1 or 2 are good.

There are 9 cards remaining, and he gets the desired outcome from only 2 of those cards.

p(sum less than 8) = 2/9

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A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s position?

Answers

The change in the turtle's position is $11 (5)/(12)$ inches

From the question,

We are to determine the change in the turtle's position

From the given information

A turtle is 20 5/6 ( $20(5)/(6)$ ) inches below the surface of a pond

and

The turtle dives to a depth of 32 1/4 ( $32(1)/(4)$ ) inches

To determine the change in the turtle's position, we calculate the difference between the initial position of the turtle and its final position.

∴ The change in the turtle's position = $32(1)/(4) -20(5)/(6)$

= $(129)/(4) -(125)/(6)$

= $(387-250)/(12)$

= $(137)/(12)$

= $11 (5)/(12)$ inches

Hence, the change in the turtle's position is $11 (5)/(12)$ inches

Learn more here: brainly.com/question/18591446

Amanda sells T-shirts at a market for $15 each. Her costs are $6 per T-shirt and $540 per month rent. How many T-shirts must Amanda sell per month to equal her monthly costs?