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2 years ago

Trigonometry please help thank youuuu

Mathematics

1 answer:

DerKrebs [107]2 years ago

7 0

Answer:

x=6.3m

Step-by-step explanation:

Let the opposite side be y in 2nd triangle.

tan 27° = y/9

=> tan 27° X 9 = y

∴ y = 4.585m ≈ 4.59m

cos 43° = y/x

=> cos 43° = 4.59/x

=> cos 43° X x= 4.59

=> x = 4.59/cos 43°

∴ x = 6.276m ≈ 6.3m (corrected to 1 dp)

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$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$