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3 years ago

Which of the following are Pythagorean triples? Check all that apply.

1 answer:

4 0

A Pythagorean triple is a triple that describes the three positive integer side lengths of a right triangle. It fits the rule a^2 + b^2 = c^2. From the given sets of numbers above, the following are the Pythagorean triples: Option C: 12, 16 and 20 (144 + 256 = 400); Option E: 8, 15 and 17 (64 + 225 = 289); and Option F 32, 60 and 68 (1,024 + 3600 = 4,624).

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Find the measure of each unknown angle

Aleks [24]

. The sum of angels in the triangle must be 180
Therefore
1) 180 - (40+85)= 55
2)180-(14+30)= 136

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3 years ago

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Bob hiked 16 miles each day on a 12 day hiking trip. Lola hiked 14 miles each day on her 16 day hiking trip. how many more miles

bija089 [108]

Bob hiked 16*12=192 miles total.
Lola hiked 14*16=224 miles total.

Lola hiked 224-192=32 more miles than Bob. Girl power!

Hope this helps!

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3 years ago

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radio gives local weather updates every 18 minutes. the first update is at 2:00pm. you turn the radio on at 5:30pm. how long wil

nekit [7.7K]

Youll have to wait 10 mins

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3 years ago

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Find surface area of a rectangular prism 3 ft 2 ft 6 ft

Sever21 [200]

Answer:

72 ft ^2

Step-by-step explanation:

Surface area = 2 * ( 3x6 + 6x2 + 2x3) = 72 ft^2

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2 years ago

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The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu

Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that $p = 0.7$

20 adults

This means that $n = 20$

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144$

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

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3 years ago