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3 years ago

Given that events A and B are independent with P(A) = 0.75 and

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

<h2>Answer:</h2><h2>The value of P (B) = 0.22</h2>

Step-by-step explanation:

The probability of event A, P (A) = 0.75

The probability of events A and B, P (A ∩ B) = 0.165

The probability of event B, P (B) = ?

Independent events are those where the probability of A event occurring doesn't affect the probability of B event. In other words, they don't depend upon each other and are independent.

By formula,

P (A ∩ B) = P (A) . P (B)

By substituting the values to the above equation, we get

0.165 = 0.75 * P (B)

P (B) = 0.22

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Express the polynomial 7x + 3x + 5 in standard form

frosja888 [35]

<u><em>The equation is already in the standard form. </em></u>

= 10 x + 5

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2 years ago

Solve by taking the square too of both sides.<br> 3(c+3)^2-81=0

Norma-Jean [14]

Answer:

x = -3 ±3sqrt(3)

Step-by-step explanation:

3(x+3)^2-81=0

Add 81 to each side

3(x+3)^2=81

Divide each side by 3

3/3(x+3)^2=81/3

(x+3)^2=27

Take the square root of each side

sqrt ((x+3)^2)=±sqrt(27)

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x+3 =±sqrt(9)*sqrt(3)

x+3 =±3sqrt(3)

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3 years ago

Which of the following is a solution of x^2 + 2x + 4?

Kaylis [27]

Answer:

$\displaystyle x_1=-1+\sqrt{3}i$

$\displaystyle x_2=-1-\sqrt{3}i$

Step-by-step explanation:

<u>Second-Degree Equation</u>

The second-degree equation or quadratic equation has the general form

$ax^2+bx+c=0$

where a is non-zero.

There are many methods to solve the equation, one of the most-used is by using the solver formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

The equation of the question has the values: a=1, b=2, c=4, thus the values of x are

$\displaystyle x=\frac{-2\pm \sqrt{2^2-4\cdot 1\cdot 4}}{2\cdot 1}$

$\displaystyle x=\frac{-2\pm \sqrt{-12}}{2}$

Since the square root has a negative argument, both solutions for x are imaginary or complex. Simplifying the radical

$\displaystyle x=\frac{-2\pm 2\sqrt{-3}}{2}=-1\pm\sqrt{3}i$

The solutions are

$\displaystyle x_1=-1+\sqrt{3}i$

$\displaystyle x_2=-1-\sqrt{3}i$

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3 years ago

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s

umka2103 [35]

I remember doing this question. The question went like:
<span>1.25x + 1.49 = 100
What error did Barbara make in writing the equation?
And the answer would be that Barbaras equation did not consider the number of ice tea drinks. Hence, </span>She put the correct price in the equation but she didn't put the (x) number of iced tea drinks. In other words,This is because she has added 1.25 X the number of water bottles sold to 1.49, the cost of one iced tea.
So, the correct equation would be:
1.25x +1.49y = 100
Would really appreciate if you would put me as Brainliest answer.

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3 years ago

If Sarah rents a washer and dryer for $52 per month for 13 months how much will she pay for 13 months?

Vikki [24]

Answer:

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Step-by-step explanation:

52x13= 676

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3 years ago

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