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Alchen [17]
3 years ago
8

What is the value of x? Enter your answer, as a decimal, in the box.

Mathematics
2 answers:
Alex Ar [27]3 years ago
4 0
22/71.5 = 4/13
BP = 97.5 * 4/13
BP = 30
MB = MP - BP
MB = 67.5 ft
iragen [17]3 years ago
3 0

Answer:

x = 67.50 ft

Step-by-step explanation:

Consider, ΔMAB and ΔMNP,

∠M = ∠M (Common)

Given AB║NP and let MN as transversal,

∠MAB = ∠MNP (alternate angle)

Also, Given AB║NP and let MP as transversal,

∠MBA = ∠MPN (alternate angle)

Therefore, ΔMAB ≅ ΔMNP (By AAA similarity )

Thus, by CPCT,

\frac{MA}{MN}=\frac{MB}{MP}=\frac{AB}{NP}

consider first two ratios,

\frac{MA}{MN}=\frac{MB}{MP}

Substitute the values, MA = MN - AN = 49.5 ft

\frac{49.5}{71.5}=\frac{x}{97.5}

On solving for x , we get, x = 67.50 ft

Thus, value of x is 67.50 ft


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P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)

And using the probability mass function we got:

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Step-by-step explanation:

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

X \sim Binom(n=10, p=0.5)

The probability mass function for the Binomial distribution is given as:

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Where (nCx) means combinatory and it's given by this formula:

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For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

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And using the probability mass function we got:

P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205

P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117

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P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977

And adding the values we got:

P(X\geq 6) = 0.377

The best answer would be:

D. 0.377

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