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malfutka [58]
1 year ago
8

3. Consider the following information.P(Z) = 0.73P(A) = 0.25P(Z and A) = 0.15Part A: Determine P(Z|A).Part B: Determine P(AZ).I

Mathematics
1 answer:
krok68 [10]1 year ago
4 0

Ok, so:

For Part A, we have: P(Z|A)=P(Z and A)/P(A)

And if we replace, we got:

P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.

For Part B, we have: P(A|Z)=P(Z and A)/P(Z)

P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.

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Find the exact length of the curve. x = 9 + 9t2, y = 6 + 6t3, 0 ≤ t ≤ 4
andrew11 [14]

ANSWER

=102 \sqrt{ 17}

EXPLANATION

The equation of the curve is:

x = 9 + 9 {t}^{2}

y = 6 + 6 {t}^{3}

We differentiate to obtain:

\frac{dx}{dt}  = 18t

\frac{dy}{dt}  = 18t

The length of the arc

l =  \int _0 ^{4}  \sqrt{  {( \frac{dx}{dt} )}^{2} + {( \frac{dy}{dt} )}^{2} } dt

This implies that:

=  \int _0 ^{4}  \sqrt{  {( 18t )}^{2} + {(  {18 {t}^{2} } )}^{2} } dt

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3 years ago
If a light bulb manufacturing company wants to​ estimate, with 99​% ​confidence, the mean life of compact fluorescent light bulb
Reptile [31]

Answer:

We need at least 217 compact fluorescent light bulbs

Step-by-step explanation:

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Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many compact fluorescent light bulbs need to be​ selected?

We need at least n bulbs, in which n is found when M = 175, \sigma = 1000

So

M = z*\frac{\sigma}{\sqrt{n}}

175 = 2.575*\frac{1000}{\sqrt{n}}

175\sqrt{n} = 2575

\sqrt{n} = \frac{2575}{175}

\sqrt{n} = 14.71

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n = 216.5

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4 0
3 years ago
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I don't know help please
Iteru [2.4K]

Answer:

huh

Step-by-step explanation:

did you add anything?

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