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IrinaK [193]
3 years ago
13

I have a rectangular prism with a height of 30cm, a length of 15cm, and a width of 10cm. What is the volume of my prism? V= Bh B

= area of the base of the rectangular prism a= L x W
Mathematics
2 answers:
ivanzaharov [21]3 years ago
4 0

Answer: V = 4500 cubic units or units^3

Step-by-step explanation:

So far, we know that the givens are:

a height of 30cm, a length of 15cm, and a width of 10cm

So we have to find the volume. The formula for volume is just V = lwh which means that the volume equals the length times the width times the height.

V  = (l)(w)(h)

Now, all you have to do is to substitute the given numbers into the equation:

V = (15)(10)(30)

Simplify that:

V = 4500

Put it in the terms:

V = 4500 cubic units or units^3

Hence your answer!

3241004551 [841]3 years ago
4 0
V=4500 cubic units or units^3
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An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a
sasho [114]

Answer:

Step-by-step explanation:

Use the normal approximation to the binomial distribution

mean µ = np

standard deviation σ = √npq

Where,

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Given that

q = 6% =0.06

Then, p = 1-q = 1-0.06 = 0.94

Therefore:

µ = pn

µ = 0.94n

Also

σ = √npq

σ = √(n)(0.94)(0.06)

σ = √(.0564n)

Using z-scores:

z = (x — µ )/σ

Using the data above

1.645 = (160 — 0.94n)/√(0.0564n)

Cross multiply

1.645√0.0564n = 160—0.94n

Square both sides

1.645²× 0.0564n = (160-0.94n)

0.153n=25600— 300.8n + 0.8836n²

0.8836n²-300.8n-0.153n +25600=0

0.8836n² — 300.953n + 25600 = 0

Using quadratic formula method.

a = 0.8836 b = -300.953 c = 25600

n = [-b±√(b²-4ac)]/2a

n = [--300.953±√((-300.953)²-4×0.8836×25600)] / (2 × 0.8836)

n = [300.953±√(92.07)]/1.7672

n = (300.953±9.6)/1.762

n = (300.953-9.6)/1.762

n = 168.22

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n = (300953+9.6)/1.762

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The maximum number of reservation is approximately 168.

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ElenaW [278]

Answer:

The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease

Step-by-step explanation:

The number of persons in 10,000 people that have the disease = One

The percentage of people with the disease that test positive = 99.6%

The percentage of people who do not have the disease test positive = 0.05%

The probability that someone who tests positive has the genetic disease

P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}

P(disease) = 0.01% = 0.0001

P(positive disease)  = 99.6% = 0.996

P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999

P(positivenodisease) = 0.05% = 0.0005

Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.

Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5

Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive

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