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Maslowich
3 years ago
12

-4x + 7y = 20 y= 3x + 15

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

What’s the question

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
Equivalent expression for 4(a+5) by modeling and using distributive property
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

to use distributive property

you have to put the 4 inside the paranthese and multiply

4a+20 is your answer

pls mark me brainliest

5 0
3 years ago
Read 2 more answers
Yolanda bought 12 pounds of rice for $5 . How many pounds of rice did she get per dollar?
defon
<h3>Answer:  2.4 pounds per dollar</h3>

Explanation:

We can set up the ratio

12 pounds : 5 dollars

Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"

  • 12/5 = 2.4
  • 5/5 = 1

The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar

4 0
3 years ago
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if you have an accurate, complete scale drawing and the scale, which measurements of the objects of the drawing can you find
devlian [24]
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7 0
3 years ago
Estimate each product 5/7×1/9=
Cerrena [4.2K]
Multiply it out to get 5/7*1/9=5/63.  This is an exact value of the product.
8 0
3 years ago
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