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Ksivusya [100]
2 years ago
12

PLZ ASAP

Mathematics
1 answer:
morpeh [17]2 years ago
4 0

Answer:

2/3

Step-by-step explanation:

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A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob
UkoKoshka [18]

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.

5 0
3 years ago
What is the slope of the line that goes through the points (-4,2) and (8,5)?
trapecia [35]

Hello,

y = ax + b where a is the slope

We have A(-4 ; 2) and B(8 ; 5)

a =  \frac{yb - ya}{xb - xa}  =  \frac{5 - ( - 4)}{8 - 2}  =  \frac{9}{6}  =  \frac{3 \times 3}{3 \times 2}  =  \frac{3}{2}

→ Slope : 3/2

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The necklace is 19 dollars a piece
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