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Vikentia [17]
3 years ago
5

A circle is centered on point B. Points A, C and D lie on it's circumference.

Mathematics
2 answers:
kvasek [131]3 years ago
8 0

Answer:

20

Step-by-step explanation:

i just did this one

IrinaVladis [17]3 years ago
3 0

The measure of the angle ADC is 20°

<u>Explanation:</u>

Given:

∠ABC = 40°

∠ADC = ?

We know:

Angle subtended at the center is twice the angle subtended at the circumference.

Thus,

∠ABC = 2 x ∠ADC

On substituting the value we get:

40° = 2 X ∠ADC

∠ADC = 20°

Therefore, the measure of the angle ADC is 20°

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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
HELP ASAPPPP!!!BRAINLEST WILL BE GIVEN!!! ​
liraira [26]

Answer:

30 days

Step-by-step explanation:

The common multiples of 15 and 6 are 30, 60, 90 etc and because it increases by 30 each time we can find out that he will play both football and basketball together in thirty days!

8 0
3 years ago
Please help with this question!!
barxatty [35]

Answer:

  -29/20

Step-by-step explanation:

The cosecant function is the inverse of the sine function. Both sine and cosecant are odd functions, meaning csc(-x) = -csc(x) = -1/sin(x).

  csc(-θ) = -1/sin(θ) = -1/(20/29) = -29/20

6 0
3 years ago
Find the unknown side length, x. Write your answer in simplest radical form.
velikii [3]
The answer should be 16√5
8 0
3 years ago
SISTEMA DE ECUACIONES
Zina [86]

4

Step-by-step explanation:

5 0
3 years ago
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