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2 years ago

Please explain and solve 2/3 = m/42

1 answer:

4 0

Whatever you do to the numerator you must do to the denominator so 3 goes into 42 14 times so 3x14=42 2x14=28 so 2/3is equivalent to 28/42

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If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul

Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, $\mu = \frac{3}{20} = 0.15$

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607$

$P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898$

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0

2 years ago

How do you solve 39 equal to 1 3/10b

elena-s [515]

If 39 = (1 3/10)b, we could simplify this by writing 39 - (13/10)b.

Solve this for b by mult. both terms by (10/13):

(10*39)
----------- = (10/13)(13/10)b. Then b = 30 (answer)
13

5 0

2 years ago

Hue is arranging chairs. She can form 2 rows of a given length with 2 chairs left over, or 6 rows of that same length if she get

Nady [450]

There are 7 chairs in each row length.
Step-by-step explanation:
Let number of chairs in 1 row be 'x'.
Let total number of chairs be 'y'.
Given:
Hue can form 6 rows of a given length with 3 chairs left over.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.
Framing in equation form we get.

Also Given:
Hue can form 8 rows of that same length if she gets 11 more chairs.
It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.
Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.
So according to law of transitivity we get;

Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.

Hence there are 7 chairs in each row length.

8 0

2 years ago

How can I delete a question?

faltersainse [42]

Do you still need help?

8 0

2 years ago

Read 2 more answers

Which shows the quotient of g and 7?

egoroff_w [7]

The answer is d because quotient means the outcome of a division between two numbers. So therefore it has to be a division equation, which is d.

4 0

2 years ago