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masha68 [24]
3 years ago
15

1.) Six people share 3/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? There aren't an

y multiple choices. I think 10 or 18/5.
2.) If one honeybee makes 1/12 teaspoon of honey during its lifetime, how many honeybees are needed to make 1/2 teaspoon of honey?
Mathematics
1 answer:
Natalka [10]3 years ago
8 0
1)~  \frac{3}{5} \times  \frac{1}{6} =\boxed { \frac{1}{10} } \\  \\ 2)~ \frac{1}{2} \times 12 = \boxed {6}
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g Suppose you have $100 of endowment, and you are offered a chance to buy a lottery which costs $36. The lottery has 18% of chan
vlabodo [156]

Answer:

$301.23

Step-by-step explanation:

We have that the function of wealth is U (w) = w ^ (1/2)

So, since what you have at the start is 100, we replace:

U (w) = 100 ^ (1/2)

U = 10

Now we have two cases:

the first one we win, then the winnings would be 100 minus the cost of the lottery, that is 36 and to that add G of the prize:

100 - 36 + G = 64 + G

In the second case, where we lose, the subtraction of 100 that we have minus the cost of the lottery would be equal 36

100 - 36 = 64

Therefore, we have to win with an 18% probability, therefore losing would be 82% (100% - 18%)

0.18 * (64 + G) ^ (1/2) + 0.82 * 64 ^ (1/2)

solving:

0.18 * (64 + G) ^ (1/2) + 6.56

Now this is equal to U which is equal to 10:

10 = 0.18 * (64 + G) ^ (1/2) + 6.56

(10 - 6.56) /0.18 = (64 + G) ^ (1/2)

(64 + G) ^ (1/2) = 19.11

(64 + G) = 365.23

G = 365.23 - 64

G = 301.23

Therefore, the smallest G prize size that the lottery will be willing to buy is $ 301.23

8 0
3 years ago
You have seven cards, numbered 3 through 9, and you pick one at random. If you pick a card with a prime number, you get 1 point;
Roman55 [17]

Answer:

He has \frac{-1}{7} number of points

Step-by-step explanation:

We have given that numbers from 3 to 9

So numbers will be 3,4,5,6,7,8,9

Here prime numbers are 3,5,7

And composite numbers are 4,6,8,9

So probability of getting prime number = \frac{3}{7}

And probability of getting composite number =\frac{4}{7}

It is given that if he gets prime number then he get 1 point and if he get composite number then he loss 1 point '

So value of number of point he has = 1\times \frac{3}{7}-1\times \frac{4}{7}=\frac{-1}{7}

4 0
3 years ago
Hi.i need help with this.i will apreciate the answer:)))
Anvisha [2.4K]
Here is how to work 2, 3 , and 4.

7 0
4 years ago
A free falling object increases speed by a little over 22 miles per hour each second. The arithmetic sequence 22,44,66..., repre
dimulka [17.4K]

Answer:

176 mph after 8 seconds

5 0
4 years ago
The side lengths of △JKL are 60 cm, 80 cm, and 100 cm.
Alekssandra [29.7K]

Answer:

2nd option

Step-by-step explanation:

using the converse of Pyhagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 100 , then 100² = 10000

60² + 80² = 3600 + 6400 = 10000

then

60² + 80² = 100²

thus the triangle is right

4 0
2 years ago
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