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3 years ago

Change the following military times to regular times. a. 0215 b. 0532 c. 0045 d. 1842

Mathematics

2 answers:

just olya [345]3 years ago

8 0

Answer:

A- 2:15 AM

B- 5:32 AM

C- 12:45 AM

D- 6:42 PM

Hope this helps!

-Payshence

slavikrds [6]3 years ago

5 0

Answer:

A = 2:15

B = 5:32

C= 12:45

D = 6:42

Step-by-step explanation:

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The 1st option is correct.

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) Determine the probability that a bit string of length 10 contains exactly 4 or 5 ones.

yanalaym [24]

Answer: 0.4512

Step-by-step explanation:

A bit string is sequence of bits (it only contains 0 and 1).

We assume that the 0 and 1 area equally likely to any place.

i.e. P(0)= P(1)= $\dfrac{1}{2}$

The length of bits : n = 10

Let X = Number of getting ones.

Then , $X \sim Bin(n=10,\ p=\dfrac{1}{2})$

Binomial distribution formula : $P(X=x)=^nC_x p^x q^{n-x}$ , where p= probability of getting success in each event and q= probability of getting failure in each event.

Here , $p=q=\dfrac{1}{2}$

Then ,The probability that a bit string of length 10 contains exactly 4 or 5 ones.

$P(X= 4\ or\ 5)=P(x=4)+P(x=5)\\\\=^{10}C_4(\dfrac{1}{2})^{10}+^{10}C_4(\dfrac{1}{2})^{10}$

$=\dfrac{10!}{4!6!}(\dfrac{1}{2})^{10}+\dfrac{10!}{5!5!}(\dfrac{1}{2})^{10}$

$=(\dfrac{1}{2})^{10}(\dfrac{10!}{4!6!}+\dfrac{10!}{5!5!})$

$=(\dfrac{1}{2})^{10}(210+252)$

$=(0.0009765625)(462)$

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Hence, the probability that a bit string of length 10 contains exactly 4 or 5 ones is 0.4512.

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4 years ago

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Aneli [31]

Answer:

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Step-by-step explanation:

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4 years ago

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An architect is designing an office building with n floors that will have an FM radio antenna 15.85 m tall on its roof. Each flo

sveticcg [70]

Answer:

h=3.9x+15.85 meters

Step-by-step explanation:

Let's say that the height of the floor just before the roof to the highest point of the roof is also 3.9 m, perhaps, we have an almost flat roof

Since the FM radio antenna is fixed on top of roof, the total height is that of previous floors and the antenna

Taking the building to have x number of floors with each floor having 3.9 m height, the function of height will be

h=3.9x + 15.85 meters

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4 years ago