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3 years ago

What is the missing length of the rectangle

Mathematics

1 answer:

leonid [27]3 years ago

4 0

Area/12= Answer

192/12=16, 12*16=area

Missing length= 16

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Non example of complex fraction.

Law Incorporation [45]

Answer:

42/6

Step-by-step explanation:

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3 years ago

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What is the reference angle for 7 pi/6?

Mademuasel [1]

Answer:

$\frac{\pi }{6}$

Step-by-step explanation:

$\frac{7\pi }{6}$ is an angle in the third quadrant

To find the reference angle subtract π from it

reference angle = $\frac{7\pi }{6}$ - π = $\frac{\pi }{6}$

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3 years ago

−11 − 15 Group of answer choices -26 26 -4 4

kirill115 [55]

-26 is ur answer. hope this helps!

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3 years ago

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A small airline overbooks flights on the assumption that several passengers will not show up. Suppose that the probability that

olchik [2.2K]

We have 22 tickets sold, and 20 seats. This means that at least 2 passengers must not show up (otherwise, at least 21 passengers will be present, and there wouldn't be space for them).

Considering each passenger as independent, you can think of this experiment. Suppose you toss a coin for each passenger. If the coin lands on heads, the passenger shows up. If it lands on tails, the passenger doesn't show up.

But the coin is unfair: it has a 0.91 probability of landing on heads, and thus 0.09 probability of landing on tails.

This implies that the probability of having exactly $k$ tails is

$\binom{22}{k} \cdot 0.09^k \cdot 0.91^{22-k}$

We already concluded that at least two passengers must not show up. So, if our coins lands on tails less than twice, we've lost. So, the losing probability is

$\displaystyle\binom{22}{0}\cdot 0.09^0 \cdot 0.91^{22} + \binom{22}{1}\cdot 0.09^1 \cdot 0.91^{21} \approx 0.39$

Finally, remember the rule to negate events:

$P(E) = 1-P(\lnot E)$

So, if we lose with probability 0.39, we win with probability

$1-0.39 = 0.61$

6 0

3 years ago

Freddie is walking for a charity at a constant rate. After two hours, Freddie has walked 4 miles. At 4 hours, he had walked 8 mi

lesantik [10]

Answer:

Freddie would have walked 25 miles after 12 and a half hours.

Step-by-step explanation:

Given that Freddie is walking at a constant speed, and after 2 hours he walked 4 miles, while after 4 hours he walked 8 miles, to determine how long he walked 25 miles, the following calculation must be performed:

4/2 = Miles per hour

2 miles per hour

2X = Y

2X = 25

X = 25/2

X = 12.5

Therefore, Freddie would have walked 25 miles after 12 and a half hours.

8 0

3 years ago