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defon
3 years ago
8

What is the missing angle measure?

Mathematics
1 answer:
Darya [45]3 years ago
5 0
It is 120 im pretty sure
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Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter
sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events <em>A</em> and <em>B</em> are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

P(A\cap B)=0

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, P(A\cap B)=0.

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, P(A\cap B)=P(A)\times P(B).

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that P(A\cap B)=0.

Now compute the value of P(A)\times P(B) as follows:

               P(A)\times P(B)=0.30\times 0.40=0.12\neq 0

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0
3 years ago
Find the volume of a cone with a diameter of 5.5 km
vagabundo [1.1K]

Answer:

volume =  \frac{1}{3} \pi {r}^{2} h \\  =  \frac{1}{3}  \times  \frac{22}{7}  \times  {( \frac{5.5}{2}) }^{2}  \times 11.2 \\  = 88.7 \:  {km}^{3}

4 0
2 years ago
Write the expression in simplest form.<br><br> (-11/2 x + 3) - 2 (- 11/4 x - 5/2) = ___
Yuki888 [10]
I think the answer is 8, not sure though
3 0
3 years ago
There are two cubes, one smaller than the other. The two cubes combined has a volume of 118.125in. Find the side length of each
Sunny_sXe [5.5K]

Step-by-step explanation:

let the big cube side be b

small cube side be s

s = 2/3 * b

bv + sv = 118.125

b^3 + 8/9 b^3= 118.125

17 b^3/8 = 118.125

b^3 = 55.58

b = 3.816in

s = 2.544in

6 0
2 years ago
Please help! posted picture of question
o-na [289]
C. 5x - 2y = 16 is your answer

plug in each point into the equation.

(2, -3)

x = 2, y = -3

5(2) - 2(-3) = 16
10 + 6 = 16
16 = 16 (True)

(4,2)

x = 4, y = 2

5(4) - 2(2) = 16
20 - 4 = 16
16 = 16 (True)


hope this helps
4 0
3 years ago
Read 2 more answers
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