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3 years ago

Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24

Mathematics

1 answer:

Alexus [3.1K]3 years ago

5 0

Answer:

16/24

Step-by-step explanation:

2 x 8 = 16

3 x 8 = 24

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What describes the components of the arithmetic sequence formula?

AVprozaik [17]

$a_{n}=a_{1}+d(n-1)$

an is the 'nth' term
a1 is first term
d=common difference (found by doing $a_{n}-a_{n-1}$ )
n=numerical representation of which term

6 0

3 years ago

Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

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.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

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

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

3 years ago

If A denotes some event, what does Upper A overbar denote? If P(A)equals0.999, what is the value of P(Upper A overbar)? Wh

meriva

Answer:

<h3>The event $P(\overline{A})$ denotes the complement of event A.</h3><h3>The value of $P(\overline{A})$ is 0.001</h3>

Step-by-step explanation:

Given that A denotes some event .

And also given that P(A)=0.999

<h3>To find the value of $P(\overline{A})$ :</h3>

Here the event $P(\overline{A})$ denotes the complement of event A Therefore $P(\overline{A})$ contains all the events that does not occur in A.

We know that the total probability is 1

So we have that

$P(A)+P(\overline{A})=1$

$P(\overline{A})=1 -P(A)$

$=1-0.999$

$=0.001$

Hence the complement of event A is $P(\overline{A})=0.001$

<h3>Therefore the value is $P(\overline{A})=0.001$ </h3>

6 0

3 years ago

How many solutions does the equation -3(2x+5)=-15 have?

Mamont248 [21]

Answer:

Step-by-step explanation:

-3(2x+5)=-15

-6x-15= -15

-6x=0

No solutions

4 0

2 years ago

Answer<br> Question for me please

Bingel [31]

Answer:

y=8/11x-2

Step-by-step explanation:

in y=mx+b, the m= the slope, and the b=the y-intercept

5 0

1 year ago