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bija089 [108]
2 years ago
5

Find the value of x.

Mathematics
1 answer:
romanna [79]2 years ago
7 0

Answer:

20

Step-by-step explanation:

V_{right\: square \: pyramid}  =  \frac{1}{3}  {a}^{2} h \\  \\ \therefore \: 1500  =  \frac{1}{3}  {(15)}^{2} (x)\\  \\ \therefore \: 1500  =  \frac{1}{\cancel 3}  \times  \cancel {225} (x) \\  \\ \therefore \: 1500  =  75x \\  \\ \therefore \: x  =   \frac{1500}{75}  \\  \\ \therefore \: x  =  20

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Answer:

0.969

Step-by-step explanation:

Given that:

Mean lifetime (m) = 520 hours

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Hence, standard deviation (s) = √900 = 30

Probability that bulb will last for at most 576 hours

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Obtain the standardized score :

Using the relation :

Zscore = (x - m) / s

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erma4kov [3.2K]
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When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

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