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2 years ago

Help y’all!! it’s gradpoint!! this is the last question & i’ve failed this test so many times :(

Mathematics

1 answer:

scoray [572]2 years ago

5 0

Answer:

just study study study

Step-by-step explanation:

you will learned

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If A, B, and C are mutually exclusive events with P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4, determine the following probabilities:

fiasKO [112]

a. The events are mutually exclusive, so

$P(A\cup B\cup C)=P(A)+P(B)+P(C)=\boxed{0.9}$

b. For the same reason,

$P(A\cap B\cap C)=\boxed0$

Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:

$P(A\cap B\cap C)=P(A)+P(B)+P(C)-P(A\cup B\cup C)$

and the right side reduces to 0.

c. Same as (b),

$P(A\cap B)=\boxed0$

d. Same as (b),

$P((A\cup B)\cap C)=\boxed0$

We can also use the distributivity rule for unions and intersections to write

$P((A\cup B)\cap C)=P((A\cap C)\cup(B\cap C))=P(A\cap C)+P(B\cap C)=0$

e. If the $A'$ is the complement of $A$ , then by DeMorgan's law,

$P(A'\cap B'\cap C')=P(A\cup B\cup C)'=1-P(A\cup B\cup C)=\boxed{0.1}$

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3 years ago

1. Ilove ordering cookies from Tiff's Treats (not

agasfer [191]

c = cost

h = # of half-dozens ordered

c = $8.50h + $1 is the correct answer.

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3 years ago

a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s

vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) = $x^2$ ...equation (i)

Length of the rectangle = $(x+4)$

Width of the rectangle = $(x-2)$

Area of the rectangle =Length * Width

⇒ $(x+4)(x-2)=x^2-2x+4x-8$

⇒ $x^2+2x-8$ ...equation (ii)

Equating both the equation as area of both the figure are equal.

⇒ $x^2+2x-8=x^2$

⇒ $2x-8=0$ ...subtracting $x^2$ both sides

⇒ $2x=8$ ...dividing both sides with 2

⇒ $x=\frac{8}{2}=4$ inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒ $(x+4)=(4+4)=8$

So the length of the rectangle = 8 inches.

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3 years ago

According to the given Information, AB II DC and BC II AD . Using a straightedge, extend segment AB and place point P above poin

Novay_Z [31]

Angles ABC and CDA are accurate

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3 years ago

Inequality in words X > 9

yarga [219]

Answer:

Step-by-step explanation:

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3 years ago

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