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FromTheMoon [43]
3 years ago
11

P (A or B ). P(A or B) indicates​ _______. Choose the correct answer below. A. the probability that A and B both occur in the sa

me trial. B. the probability that in a single​ trial, event A​ occurs, event B​ occurs, or they both occur. C. the probability that event A occurs in one trial followed by event B in another trial. D. the probability that event A or event B does not occur in a single trial.
Mathematics
1 answer:
Leokris [45]3 years ago
5 0

Answer:

Option B is right

Step-by-step explanation:

P(A or B)

In set theory if A and B are two sets we have either A occurs or B occurs or both as

P(A or B) = P(AUB)

This implies that A occurs or B occurs

Probability is calculated as P(A)+P(B)-P(AB)

P(AB) here represents both occurring and this is subtracted as this was added two times

Option A is wrong because this is AB

Option C is wrong because it is not necessary A occurs first

D is wrong because this is A'UB' where A' represents the complement of A

So correct answer out of four options is

B. the probability that in a single​ trial, event A​ occurs, event B​ occurs, or they both occur.

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Step-by-step explanation:

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The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri
emmainna [20.7K]

Answer:

a. i. x + y = 180  (1) and  x - 4y = 5   (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180  (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5   (2)

x - 4y = 5   (2)

So, our system of equations are

x + y = 180  (1) and  x - 4y = 5   (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180  (1) and  x - 4y = 5   (2)

Subtracting (2) from (1), we have

x + y = 180  (1)

-

x - 4y = 5   (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0
3 years ago
What is the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34 Round yo
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We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.

The probability of a data score between two z-scores is given by formula P(a.

Using above formula, we will get:

P(-1.32

Now we will use normal distribution table to find probability corresponding to both z-scores as:

P(-1.32

P(-1.32

Now we will convert 0.27351 into percentage as:

0.27351\times 100\%=27.351\%

Upon rounding to nearest tenth of percent, we will get:

27.351\%\approx 27.4\%

Therefore, our required probability is 27.4% and option C is the correct choice.

5 0
3 years ago
Please help<br> A) y&lt; 2x+4<br> B) y&lt; 1/2x+3<br> C)y&gt; 1/2x+3<br> D) y&gt; 2x+3
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Answer:

B

Step-by-step explanation:

if it is shaded under than it is <

the slope is 1/2x so that is the answer

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3 years ago
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