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Ganezh [65]
3 years ago
14

Given independent events A and B such that P(A) = 0.3 and P (B) = 0.5, which of the following is a correct statement?

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

(D) P(AUB) = 0.65

Step-by-step explanation:

Since A and B are independent:

P(A ^ B)

= P(A) × P(B)

= 0.3 × 0.5 = 0.15

P(AUB) = P(A) + P(B) - P(A^B)

= 0.3 + 0.5 - 0.15

= 0.65

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Answer:

The life expectancy of a circulating coin is 25 years. The life expectancy of a circulating dollar bill is only 1/20 as long.

Step-by-step explanation:


3 0
3 years ago
Which steps transform the graph of
vitfil [10]

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of y = x ^ 2 into y = -2(x - 2) ^ 2 + 2 the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let y = f (x-2) then y =(x-2) ^ 2 Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do y = -f(x) Then f (x) = -(x-2) ^ 2

3) Stretch according to factor 2.

For this we do y = 2f(x)

Then we have f(x) = -2 (x-2) ^ 2

4) Move up the graph in two units:

We do y = f(x) +2

Then y = -2(x-2) ^ 2 +2.

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0
3 years ago
HELP<br>What is the volume of this figure?
Damm [24]

Answer:

It’s 850

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. Scientist B dissolved 20 pounds of salt in 7.0 pints of water
Lilit [14]

scientist A dissolved 1 kg of salt in 3 litres.

scientist B dissolved 20 pounds of slat in 7 pint of water.

we know that 1 pound =0.543 g

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so 7 pints =3.5 litres

so dissoving 1 kg of salt in 3 litres of water and 9.07 kg in 3.5 litres of water

we know that for concentration kg/l units is used .

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and B=9.07/3.5=2.59 kg/l.

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3 0
3 years ago
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Please help! Given the function problem
dedylja [7]

Answer:

B

Step-by-step explanation:

So we have the function:

f(x)=\frac{9}{5}x+32

To find the inverse, flip f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:

x=\frac{9}{5}f^{-1}(x)+32

Subtract 32 from both sides:

x-32=\frac{9}{5}f^{-1}(x)

Multiply both sides by 5/9. The right side will cancel. Thus:

f^{-1}(x)=\frac{5}{9}(x-32)

Our answer is B.

And we're done!

7 0
4 years ago
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