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vfiekz [6]
3 years ago
6

A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob

ability of contracting the disease is two sevenths ​, what is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing.
Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

The probability that 8 mice are​ required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

P(X=r)=^nC_r p^rq^{n-r}

Where, p is the probability of success p=\frac{2}{7}

q is the probability of failure q=1-p, q=1-\frac{2}{7}=\frac{5}{7}

n is total number of trials n=8

r=3

Substitute the values,

P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}

P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}

P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}

P(X=3)=0.2428

Therefore, the probability that 8 mice are​ required is 0.2428.

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nordsb [41]

Answer:

Step-by-step explanation:

let    pickle bought by alexa =x

then according to given condition ,

pickle bought by Tom= (1/3) of Alexa

pickle bought by Tom= (1/3) x

hence also given

totall pickle cost = Tom cost + alexa cost = 56p

(1/3)x+x=56

taking L.C.M

(4/3)x=56

x=56*3/4

x=42 p

so it means,

<h2>Alexa cost = x = 42p</h2><h2>Tom cost = (1/3)x= (1/3)*42 = 14 p</h2>
7 0
2 years ago
Justine earned $28,000 during the first year of her job at city hall. After each year she received a 6% raise. Find her total ea
Verdich [7]

Answer:

$ 157838.60  in 5 years

Step-by-step explanation:

r = 1.06

sum of geometric seq =  a1 ( 1-r^n)/(1-r)    n = 5

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2 years ago
Which is the correct label of this line? <br><br> A/ ac<br><br> B/ cd<br><br> C/ d<br><br> D/ a
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It would be line cd, so b
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3 years ago
I need answers for Question 1 and 2
Xelga [282]

Answer:  The answer to your first question would be A. 1.  This is simply because anything raised to the power of 0 is 1 no matter what.  The answer to your second question would be B. 1, for the same reason as above, anything to the power of 0 is 1.  Hope this helped and make sure to remember that rule, it is important and easy to remember!

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Lina20 [59]

Answer:

y = 4/3x - 12

Step-by-step explanation:

To find the slope of the line, we do (y2 - y1) / (x2 - x1)

If we put in the values, we'll get

(-4 - -8) / (6 - 3)

Simplify and get

(-4 + 8) / 3

4 / 3

Your slope is now 4/3, so you can put it into your equation y = mx + b

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To find b, we can plug in the values from one of your points. Lets use (3, -8)

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Now solve the equation

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Now that you have b, your equation is complete:

y = 4/3x - 12

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