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Zolol [24]
3 years ago
10

If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product

will be of the form of x2 – (by)2, where b is an integer?
Mathematics
1 answer:
storchak [24]3 years ago
8 0

Answer:

  1/6

Step-by-step explanation:

The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).

For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.

So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.

The probability is 1/6.

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If a jar contains 3 blueberry, 4 ginger, 1 green, and 6 regular tea bags, what is the probability that a regular tea bag will be
Nezavi [6.7K]
I love blueberries so 10+y is not right answer
3 0
2 years ago
A box of oat cereal costs $3.90 for 15 ounces. A box of rice of cereal costs $3.30 for 11 ounces. Which box of cereal costs less
Firlakuza [10]

Answer:

The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

Step-by-step explanation:

Given:

Cost of 15 ounces of oat cereal box = $3.90

Cost of 11 ounces of rice box = $3.30

To compare the unit prices of the the boxes.

Solution:

Using unitary method to find the unit prices:

If 15 ounce of oat box cost =$3.90

∴ 1 ounce of oat cereal would cost = \$\frac{3.90}{15}=\$0.26

∴ Per ounce cost of oat cereal = $0.26

If 11 ounce of rice box cost =$3.30

∴ 1 ounce of rice would cost = \$\frac{3.30}{11}=\$0.3

∴ Per ounce cost of rice = $0.3

Difference in unit costs of oat and rice = \$0.3-\$0.26=\$0.04

On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

3 0
3 years ago
Determine the value of x.<br><br>A. 4√2<br><br>B. 2/√2<br><br>C. 2√2<br><br>D. 2
ZanzabumX [31]

Answer:

\huge\boxed{\sf C.}

Step-by-step explanation:

sin 45 = opposite / hypotenuse

<u>Where opposite = x , hypotenuse = 4</u>

sin 45 = x / 4

\sf \frac{\sqrt{2} }{2 } = \frac{x}{4} \\\\x = \frac{4\sqrt{2} }{2} \\\\x = 2\sqrt{2} \\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
3 0
3 years ago
Connie the fruiterer sells two fruit packs.
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8 0
3 years ago
Ted bought a fishing pole for $35.99, and a pair of shorts for 14.99. He had a coupon for 25% off the shorts only. What was the
NeX [460]

Answer: I think it is 47.23


Step-by-step explanation: Because 25% of 14.99 = 11.2425 But 35.99+11.2425 dose not seem right so I pretty sure it would be 35.99+11.24= 47.23

-Alissa

Hopefully this is right.... sorry if it is wrong


4 0
3 years ago
Read 2 more answers
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