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andre [41]
3 years ago
11

A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Use a table to find the prob

ability the surgery is successful for exactly five patients.
Mathematics
1 answer:
kiruha [24]3 years ago
5 0

Answer:

31.77% probability the surgery is successful for exactly five patients.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. 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.

A surgical technique is performed on seven patients.

This means that n = 7

You are told there is a 70% chance of success.

This means that p = 0.7

Find the probability the surgery is successful for exactly five patients.

This is P(X = 5).

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

P(X = 5) = C_{7,5}.(0.7)^{5}.(0.3)^{2} = 0.3177

31.77% probability the surgery is successful for exactly five patients.

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Two trains leave New York at the same time heading in opposite directions. Train A travels at 4/5 the speed of train one. After
grandymaker [24]
<h3>Answer:  </h3><h3>speed of train A = 44 mph</h3>

=============================================

Work Shown:

x = speed of train A

y = speed of train B

"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y

distance = rate*time

d = x*7

d = (4/5)y*7 = (28/5)y represents the distance train A travels

d = y*7 = 7y represents the distance train B travels

summing those distances will give us 693

(28/5)y + 7y = 693

5*(  (28/5)y + 7y ) = 5*693

28y + 35y = 3465

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y = 3465/63

y = 55

Train B's speed is 55 mph

4/5 of that is (4/5)y = (4/5)*55 = 4*11 = 44 mph

Train A's speed is 44 mph

8 0
3 years ago
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Kay [80]

Answer:

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Step-by-step explanation:

The equation used to solve this is yz-y1/x2-x1.

This applied to the problem would look like 9-2/3--5

Simplified this would be, 7/8 as your slope

4 0
3 years ago
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8 0
3 years ago
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b. (18 ÷ 6) ÷ 3 = 3 ÷ 3 = 1
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4 0
3 years ago
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Answer:

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Step-by-step explanation:

Given: Store manager have predicted that 150 blanket can be sold at $32 each.

Also he has predicted sales of 2 blanket will decrease with $1 increase in price.

Now, finding price at which 120 blanket can be sold.

As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.

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Using unitary method to find correct price.

For 2 decrease in sales = $1 increase in price                

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∴ $47 should be the price for at least 120 blanket to be sold.

7 0
3 years ago
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