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Nataliya [291]
4 years ago
13

QF Q1.) Solve the triangle.

Mathematics
2 answers:
Norma-Jean [14]4 years ago
4 0
C=180-A-B=180-69-40=71deg.

by sine rule

b/sinB=a/sinA
b=a/sinA*sinB
=15/sin(69)*sin(40)
= 10.33

c/sinC=a/sinA
c=a/sinA*sinC
=15/sin(69)*sin(71)
= 15.19

sergiy2304 [10]4 years ago
3 0

Sum of interior angles in a triangle is 180 deg.


so angle C = 180 - A - B


=180 - 69 -  40


=71deg.



Use the sine rule in a triangle - sinA / a = sinB / b


b = a * sinB / sinA


=15 * sin(40) / sin(69)


=10.3



Similarly sinC / c = sinA / a


c = a * sinC / sinA


=13 * sin(71) / sin(69)


=15.2


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7 0
3 years ago
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Using the binomial distribution, it is found that you could expect the product to be a multiple of 6 about 39 times.

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<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem:

  • When two cubes are tossed and their products multiplied, there are 36 possible outcomes. Of those, (1,6), (2,3), (2,6), (3,4), (3,6), (4,3), (4,6), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6), that is, 14 result in a multiplication multiple of 6, hence p = 14/36.
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Then, the <em>expected value</em> is given by:

E(X) = np = 100 \times \frac{14}{36} = 38.89

Rounding up, you could expect the product to be a multiple of 6 about 39 times.

More can be learned about the binomial distribution at brainly.com/question/24863377

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