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timofeeve [1]
2 years ago
15

State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28

Mathematics
2 answers:
Pavlova-9 [17]2 years ago
6 0
I think the answer is one triangle not for sure though
Rom4ik [11]2 years ago
4 0
Well, we can find c with the equation c^2=a^2+b^2
c^2=25^2+28^2    c^2=625+784   c^2=1409    square root both sides to isolate c. c=√1409   c=37.53664876

A = 58°
Tan B=b/a   Tan B=28/25  Tan B=1.12   B=tan^-1(1.12)  B=48.2397003° or B=48°

All triangles have a total of 180° internal angel measurements. 180°-58°-48°=74°
This works because angle C would be the largest angle anyways.
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Answer:

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A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly
Keith_Richards [23]

Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used 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.

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And p is the probability of X happening.

4% rate of defects

This means that p = 0.04

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This means that n = 26

What is the probability that this whole shipment will be accepted?

Probability that at most one tablet does not meet the specifications, which is:

P(X \leq 1) = P(X = 0) + P(X = 1)

Thus

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

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0.7208 = 72.08% probability that this whole shipment will be accepted.

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3 years ago
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<u>Answer</u>:- No.

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<u>Substitute these numbers in pythagoras theorem to check if the set of numbers is a pythagorean triplet.</u>

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Since, LHS is not equal to RHS, this set of numbers is not a pythagorean triplet.

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