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Veronika [31]
3 years ago
7

We perform an experiment that consists of independent trials where the probability of success is p = 0.25. (a) Let X be the numb

er of successes in 800 trials. Using the appropriate approximation, calculate P{X > 220}.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0

Answer:

0.0482

Step-by-step explanation:

Given the following :

Probability of success : p(success) = 0.25

Number of trials = 800

X = number of successes

Calculate P(X > 220)

The problem above can be solved using the binomial probability formula:

P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)

To save computation time, we coild use the online binomial probability calculator :

P(X > 220) = 0.0482

The binomcdf function of a graphing calcukatur can also be used :

1 - binomcdf(800, 0.25, 220)

1 - (0.95177363855) = 0.04822

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Leviafan [203]
Using the Order of Operations, this simplifies to 10+8+600 because you multiply before adding. Then you would simply add up the remaining numbers, making it 618.
The answer is 618.

I hope this helps!
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3 years ago
What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

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We substitute one of the points and find "b":

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ANswer:

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4 0
3 years ago
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Viefleur [7K]
The simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.

First we must simplify the expression:
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Then we factor the rational parts and cancel it out:
\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }

Then we rationalize the expression:
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<span>Finally, the simplified expression by rationalizing the denominator is (C)\frac{4 \sqrt{15x} }{15x}.</span>
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scZoUnD [109]

Answer:

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Step-by-step explanation:

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