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3 years ago

What is the value of x? A) 12 B) 39 C) 45 D) 33

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

3 0

x^2 = 15^2 + 36^2

X^2 = 225 + 1296

X^2 = 1521

x = sqrt(1521)

x =39

andreyandreev [35.5K]3 years ago

3 0

This is a right triangle, so we can use the Pythagorean Theorem to find x; the Pythagorean Theorem is a^2 + b^2 = c^2, where c is the hypotenuse. In this case, x is the hypotenuse. Let's set up an equation:

15^2 + 36^2 = c^2
225 + 1296 = c^2
1521 = c^2
39 = c

Answer:
x = 39

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Step-by-step explanation:

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2 years ago

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xxTIMURxx [149]

Answer:

x = 13

∠F = 28°

∠S = 28°

y = 9

DE = 38 ft

Step-by-step explanation:

We are told that △DEF = △QRS

Looking at both triangles and by comparison, it is clear that;

∠R = ∠E = 123°

∠Q = ∠D = 29°

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From earlier we deduced that ∠S = 28°

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3 years ago

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3 years ago

The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.

Zielflug [23.3K]

Answer:

The value is $P(X \ge 15) = 0.5$

Step-by-step explanation:

From the question we are told that

The probability of the device failing during the warranty period is $p = 0.005$

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The random variable considered is x = 15

Generally this is distribution is binomial given the fact that there is only two out comes hence

X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

$X \~ \ B(n , p)$

Now the mean is mathematically evaluated as

$\mu = n * p$

=> $\mu = 3000 * 0.005$

=> $\mu =15$

The standard deviation is mathematically represented as

$\sigma = \sqrt{np(1 -p )}$

=> $\sigma = \sqrt{3000 * 0.005 * (1 - 0.005 )}$

=> $\sigma = 3.86$

Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution

$P(X \ge 15) = P( \frac{X - \mu}{\sigma } \ge \frac{x - \mu}{\sigma } )$

Now applying Continuity Correction we have

$P(X \ge (15-0.5)) = P( \frac{X - \mu}{\sigma } > \frac{(15 -0.5) - 15}{3.86 } )$

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7 0

3 years ago

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makkiz [27]

Step-by-step explanation:

(4s + 2) × (5s² + 10s +3)

we know immediately the first and the last term of the result, because there is only one operation to build them :

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so, the first answer option is already eliminated.

let's multiply

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so, the last answer option is correct.

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