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2 years ago

Triangle FEGis similar to triangle IGJ. Find the value of y.

Mathematics

1 answer:

LenaWriter [7]2 years ago

6 0

Answer:

y=10

IHJ is just a smaller size, the angles are the same.

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1) Given P(A) = 0.3 and P(B) = 0.5, do the following.

Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

$P(A) = 0.3$ and $P(B) = 0.5$

Let us learn about a formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)$

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

$P(A\ and\ B)$ = $P(A \cap B)$ = 0

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}$

(b) P(A and B) = 0.2

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}$

*************************************

1) Given

$P(A) = 0.4$ and $P(B) = 0.2$

Let us learn about a formula:

$P(A\ and\ B) = P(B) \times P(A/B)$ for dependent events

$P(A\ and\ B) = P(A) \times P(B)$ for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

$P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}$

(b) $P(A / B) = 0.7$

Using above formula:

$P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}$

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2 years ago

50 POINTS HELP ASAP

natta225 [31]

Its 10 points not 50 Gzz

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2 years ago

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Part C

nika2105 [10]

Answer:

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Step-by-step explanation:

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2 years ago

What is the slope of this graph

telo118 [61]

Answer: positive I think

Step-by-step explanation:

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2 years ago

Need help ASAP! Thanks

Alex Ar [27]

Answer:

A = 1, B = 1

Step-by-step explanation:

From the question

(2x+1)/(x²+x) = A/x + B/(x+1)

(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)

Equation the numerator

2x+1 ≡ A(x+1) +Bx

2x+1 ≡ Ax+A+Bx

From the above,

A = 1.

And,

2x = Ax+Bx................ Equation 1

A+B = 2

Substitute the value of A into Equation 1

1+B = 2

B = 2-1

B = 1

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3 years ago