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Natali5045456 [20]
3 years ago
6

Please show all work with the answers please

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0
Part A

The angle of elevation of the staire case is given by

Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o



Part B:

<span>If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

</span><span>Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o</span>
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Total area of the hospital to be replaced = 1000 ft.² + 300 ft.² + 500 ft.² = 1800 ft.²
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Joe has 5 rabbits one fifth is white the rest is black. How many rabbits are white and how many rabbits are black
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A number cube is tossed 8 times. What is the probability that the cube never lands on 3?.
tino4ka555 [31]

The probability that the cube never lands on 3 is (D) 23.3%.

<h3>What is probability?</h3>
  • A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

To find the probability that the cube never lands on 3:

Given -

  • Number cube toss = 8

Required

  • Probability of not landing on 3.

First, we need to get the probability of landing on 3 in a single toss.

For a number cube,

  • n(3) = 1 and n(total) = 6

So, the probability is P(3) = 1/6

First, we need to get the probability of not landing on 3 in a single toss.

Opposite probability = 1.

  • So, P(3) = P(3') = 1.

Make P(3') the subject of the formula.

  • P(3') = 1 - P(3)
  • P(3') = 1 - 1/6
  • P(3') = 5/6

In 8 toss, the required probability is (P(3'))⁸

This gives:

  • P = (5/6)⁸
  • P = 390625/1679616
  • P = 0.23256803936

Approximate to 1 decimal place, P = 23.3%.

Therefore, the probability that the cube never lands on 3 is (D) 23.3%.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?

A. 6.0%

B. 10.4%

C. 16.7%

D. 23.3%

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Answer:

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