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4 years ago

Evaluate 8 ÷ -2 · 4² + 9

Mathematics

2 answers:

Kaylis [27]4 years ago

8 0

Answer:

-55

Step-by-step explanation:

8/-2=-4

-4x(4x4)= -64

-64 + 9= -55

scoray [572]4 years ago

5 0

Answer: -55

Step-by-step explanation: 8/-2 to get -4, then multiply by 4^2 or 16 to get -64, finally add 9 to get -55.

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8 0

4 years ago

At what values of the variable a is the value of the expression a (a + 5) greater than the value of the expression a (a - 4)?

ser-zykov [4K]

Answer:

every number that is less than -1

Step-by-step explanation:

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3 years ago

Name the values of the 4s in the number 3,441.

Mnenie [13.5K]

Answer:

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Step-by-step explanation:

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3 years ago

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The m

marshall27 [118]

Answer:

1. 0.0000454

2. 0.01034

3. 0.0821

4. 0.918

Step-by-step explanation:

Let X be the random variable denoting the number of passengers arriving in a minute. Since the mean arrival rate is given to be 10,

$X \sim Poi(\lambda = 10)$

1. Requires us to compute

$P(X = 0) = e^{-10} \frac{10^0}{0!} = 0.0000454$

2. We need to compute $P(X \leq 3) = P(X =0) + P(X =1) + P(X =2) + P(X =3)$

$P(X =1) = e^{-10} \frac{10^1}{1!} = 0.000454$

$P(X =2) = e^{-10} \frac{10^2}{2!} = 0.00227$

$P(X =3) = e^{-10} \frac{10^3}{3!} = 0.00757$

$P(X \leq 3) =0.0000454+ 0.000454 + 0.00227 + 0.00757 = 0.01034$

3. The expected no. of arrivals in a 15 second period is = $10 \times \frac{1}{4} = 2.5$ . So if Y be the random variable denoting number of passengers arriving in 15 seconds,

$Y \sim Poi(2.5)$

$P(Y=0) = e^{-2.5} \frac{2.5^0}{0!} = 0.0821$

4. Here we use the fact that Y can take values $0,1, \dotsc$ . So, the event that "Y is either 0 or $\geq$ 1" is a sure event ( i.e it has probability 1 ).