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2 years ago

Part of the area under this ramp serves for storage. Items can be stored only in the unshaded part of the ramp

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

7 0

Answer:

48.1 m³ available, 2.5m³ not available

Step-by-step explanation:

Tan(X) = 4.5/(5.8+1.7)

Tan X = 3/5

Hypotenuse² = 3² + 5² = 34

Sin X = 3/sqrt(34)

X = 30.96

1/sinX = 1.7/SinY

Y = 61.003°

Third angle: 180 - X - Y = 88.037

Volume

= ½ × 1.7 × 1 × sin(88.038) × 3

= .

= 2.548

= 2.5m³

Available for storage:

½×4.5×7.5×3 - 2.548

= 48.077 = 48.1 m³

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In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently

Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Each resident randomly chooses one of the two plumbers.

This means that $p = \frac{1}{2} = 0.5$

Three residents:

This means that $n = 3$

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125$

$P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125$

$p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25$

25% probability that all three residents will choose the same plumbe

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2 years ago

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liraira [26]

Answer:

271

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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PSYCHO15rus [73]

Answer:

Step-by-step explanation:

y = 3x - 5

y = 1/3x + 3

3x - 5 = 1/3x + 3....multiply everything by 3 to get rid of the fraction

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9x - x = 9 + 15

8x = 24

x = 24/8

x = 3

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y = 3(3) - 5

y = 9 - 5

y = 4

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