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3 years ago

2. Does the set of numbers form a Pythagorean triple? Explain.

1 answer:

7 0

So Pythagorean triples will always work with Pythagoras theorem which is a^2 + b2 = c^2 where c is the hypotenuse. So the biggest number (15) will be the hypotenuse so you must do (9^2) + (12^2) and if it is a triple you will get 15^2 so you do 81 + 144 which is 255 and 15^2 is 255 so therefore it is a Pythagorean triple because the numbers satisfy the equation. Hope this helps :)

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A sociologist wants to know the opinions of employed adult women about government funding for day care. The women were asked to

Zarrin [17]

Answer:

The correct option is C 20.1%.

Step-by-step explanation:

The probability distribution chart representing the opinions of employed adult women about government funding for day care is as follows:

Rating (<em>X</em>) Probability (<em>p</em>)

1 0.110

2 0.206

3 0.464

4 0.201

5 0.119

The ratings are defined as follows:

1: too little

2: helpful but not enough

3: make a difference but insufficient

4: sufficient

5: generous

The probability of women who think that the support is sufficient is, 0.201.

The percentage is: 0.201 × 100 = 20.1%

Thus, the percentage of women who think that the support is sufficient is 20.1%.

The correct option is C.

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3 years ago

Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

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3 years ago

Help pls, answer choices listed!

weeeeeb [17]

Answer:

I believe it is answer B if it's wrong I'm very sorry/

Step-by-step explanation:

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2 years ago

Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for

snow_tiger [21]

Answer:

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Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

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3 years ago

20 to 8 in simpliest form

Mashcka [7]

Answer:

in it's lowest form its 5/2

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2 years ago