MATHEMATICS MIDDLE SCHOOL

What is the probability of losing 6 times in a row playing Heads or Tails flipping a coin?

Answers

Answer 1
Answer: The probability of losing per flip is 1/2. Multiply 1/2 by itself 6 times since the condition is asking for the probability for the person to lose 6 times in a row. 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/64. The answer is 1/64.
Answer 2
Answer: A coin has 2 sides so you have a 50% chance at getting the side you choose. If you flip it 6 times you multiply 1/2 by itself 6 times.

(1)/(2) * (1)/(2) * (1)/(2) * (1)/(2) * (1)/(2) * (1)/(2) = {\boxed{(1)/(64)}

Answer: (1)/(64)

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John gets paid $6 for each of the first 40 toy cars he makes in a week. For any additional cars beyond 40 his pay increases by 50%. How much is he paid if he makes 48 cars?

Answers

I'm not sure but i think it is $9

You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make?Trail Mix Recipe:
2 3/4 cups granola
1 1/3 cups peanuts

Please help and show how to solve..

Answers

The correct answer is:


4 full batches.


Explanation:


To solve this, we need to see how many "servings" (the amount needed for the recipe) of granola and peanuts we have.


We have 12 cups of granola. We need 2 3/4 cups. We need to see how many 2 3/4 cup-sized "servings" there are in 12 cups. We do this by dividing:


12 ÷ 2 3/4


Write both of these as improper fractions:

12/1 ÷ 11/4


To divide fractions, flip the second one and multiply:

12/1 × 4/11 = 48/11 = 4 4/11


This means we have 4 full servings of granola.


We have 8 1/2 cups of peanuts. We need 1 1/3 cups. We need to see how many 1 1/3 cups-sized "servings" there are in 8 1/2 cups. We do this by dividing:


8 1/2 ÷ 1 1/3


We need to write both of these as improper fractions:

17/2 ÷ 4/3


To divide fractions, flip the second one and multiply:

17/2 × 3/4 = 51/8 = 6 3/8


We have 6 full servings of peanuts.


The greatest number of full batches we can make will be the smaller of the two full servings we have. We have 4 full servings of granola and 6 full servings of peanuts; we cannot make 6 full batches of trail mix, since we don't have enough granola. This means we can only make 4 full batches.
So for the granola, you divide 12 by 2.75 (2 3/4), and you get 4.36, but you can only make full batches, so its just 4. Then, for the Peanut, you divide 8.5 (8 1/2) by 1.3333 (1 1/3) and you get 6.4, so you round that to 6. But, you need the full recipe, so it can't be 6, because you only have enough granola for four batches. so the answer is four. Am I making any sense?

PLEASE HELP ME JUST THREE QUESTIONS

Answers

reason 1 and 2 are the best answers 

Sammy has 2 dozen video games. He gives 3/4 of the games to Geoff. How many games does Sammy give to Geoff?

Answers

18 because 6times 3 equals 18 /ilzerh v;IYO3U4TF8C;TWws:l
simplify 3/4 = .75
2 dozen =24
.75*24=18

The mean temperature change is 3.2 fahrenheit per day for 5 days. What is the total change over the 5-day period?

Answers

mean = total change/ number of days
3.2 = total change/ 5
total change = 3.2 x 5 = 16 fahrenheit

Give an example of linear equation that is parrell to the y-axis

Answers

Answer: x = 5

You can pick any number you want, as long as it's not zero. The equation x = 5 has all points on this line that have an x coordinate of 5. The y coordinate can be anything you want

Example points on this line are: (5,1) and (5,2)

Note: this is a vertical line with the slope undefined. There is no y intercept. This is not a function because it fails the vertical line test.
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