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What is 1/5 divided by 1/2

Len [333]

The answer to your question is 0.1

4 0

3 years ago

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2b=6a-14,3a-b=7 how to work it out

pshichka [43]

So, since there are two equations, we can substitute one of them into the other. In this case, it would be easiest to substitute 2b=6a-14 into the other equations. But first, simplify by dividing both sides by 2. You bet b=3a-1

We can now plug this into the other equation
Sine the equation b=3a-1 results in the value of b, we have to plug in for the value of b in the other equation

So this is what we get after plugging in:
3a-(3a-1)=7
Now, simplify. 3a-3a+1=7
Since 3a-3a = 0, this equation results in a no solution

Answer:
The result is a no-solution, or Ф

Hope this helped!! :D

5 0

3 years ago

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Write an equation that models the sequence 400, 200, 100, 50, ...

Julli [10]

You're starting at 400. Each time you're cutting in half.

So the common ratio is 1/2 which means the equation is

$\Large y = 400(1/2)^{x-1}$

which is in the geometric sequence format. So the answer is choice D

3 0

3 years ago

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a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive

Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let X = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, λ = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable X is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable X follows a Poisson distribution with parameter λ = 3.

The probability mass function of X is given by:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0$

Compute the probability of X = 2 as follows:

$P(X=2)=\frac{e^{-3}3^{2}}{2!}=\frac{0.0498\times 9}{2}=0.2241$

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

6 0

3 years ago

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What natural disaster would pose the most serious threat to buildings were

ryzh [129]

Answer:

The answer is "floods"

Step-by-step explanation:

It is a natural phenomenon or occurrence if an area of land, which is typically desert country immediately gets dissolved covered in water.
There are several other floods, that suddenly and a wide gap, the other will take weeks or even months to construct and release.
This cause is the most major threat to building structures, in which New York City to first be destroyed.

5 0

3 years ago