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Ivanshal [37]
4 years ago
5

What is the solution for -6(1-5v)=54 ?

Mathematics
2 answers:
Svetradugi [14.3K]4 years ago
5 0

First, expand the equation (multiplication) . Then, Put the unknown at one side. You'll get the answer as 2.

-6(1-5v)=54
-6(1) -6(-5v)=54
-6+30v=54
30v=54+6
30v=60
v=60/30=2
snow_tiger [21]4 years ago
4 0

Isolate the variable by dividing each side by the factors that don't contain the variable

v=2

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5/52

Step-by-step explanation:

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Find the equationof a circle whose centre is (-3-15) and passing point (5,-1) find the equation of circle..​
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Answer: (x+3)^{2} +(y+15)^{2}=260

Step-by-step explanation:

The centre is (-3,-15), so we can say the equation of circle is (x+3)^{2} +(y+15)^{2}=r^{2}. put (5,-1) at this equation.

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You are playing a game called Tsunami Duck Pond. In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves. You
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Answer:

a) W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.

b) 0.2013 = 20.13% probability that you win exactly 3 times.

Step-by-step explanation:

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. Explain why W is a binomial random variable.

For each time a duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.

b. Find the probability that you win exactly 3 times.

Let W=the number of times you win if you play this game 10 times.

This means that n = 10

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This means that p = \frac{20}{100} = 0.2

We have to find P(X = 3). So

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

P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013

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