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Mariulka [41]
3 years ago
7

Each morning Paul has a mug of coffee with cream (the mug will hold 16oz) the amount of coffee is random between 12 and 15 oz. a

nd the amount of cream is random between 1 and 2 oz. write the functions that will generate the distribution of combined coffee and cream the distribution. Write the functions that determine the probability that the mug will overflow. Calculate the probability.
Mathematics
1 answer:
Romashka [77]3 years ago
5 0
>>.......................
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PQRS is a diameter of a circle of radius 6cm. the lengths PQ , QR , and RS are equal .Semicircles are drawn on PQ and QS as diam
velikii [3]
r=6
\\d=2r=12
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\\P= \frac{1}{2}\times 2r\pi+\frac{1}{2}\times 2\times QR\times\pi+\frac{1}{2}\times 2 \frac{PQ}{2} \pi
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ANSWER FAST PLEASE!!!!<br> Which one is closer to 3?<br> 2.5 2 1/5
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Step-by-step explanation:

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Write an exponential growth function with an asymptote of y = -5
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2 years ago
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Read 2 more answers
. Among all the income tax forms filed in a certain year, the mean tax paid was $2000, and the standard deviation was $500. In a
Anarel [89]

Answer:

a) 0.8413

b) 0.6293

Step-by-step explanation:

Data provided:

Mean tax paid = $2000

Standard deviation = $500

Sample size, n = 625

n=625

Now,

a) P( average tax paid on the sample forms is greater than $1980)

⇒ P(X > 1980)

or

⇒ P(\frac{(X-mean)}{\frac{s}{\sqrt n}})

or

⇒ P(\frac{(1980-2000)}{\frac{500}{\sqrt{625}}})

or

⇒ P(Z > -1)

or

= 0.8413 (From standard normal table)

b) P(more than 60 of the sampled forms have a tax of greater than $3000)

given:  p = 10% = 0.1

Now, by using CLT

mean = n × p

= 625 × 0.1

= 62.5

Standard deviation, s =\sqrt{n\times p\times(1-p)}

=\sqrt{625\times0.1\times(1-0.1)}

= 7.5

Thus,

P(X > 60)

= P(\frac{(X-mean)}{s} > \frac{(60-62.5)}{7.5})

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