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andrezito [222]
3 years ago
10

There are 12 boys and 8 girls in a class, including a brother and a sister. If one boy and one girl are selected at random from

the boys and girls respectively , what is the probability that the brother and sister are both selected?
kindly write the procedure
Mathematics
1 answer:
kupik [55]3 years ago
7 0

I think the answer is 1/10.

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Although the rules of probability are just basic facts about percents or proportions, we need to be able to use the language of
netineya [11]

Answer:

a) Option D is correct for this question.

That is, A or B is the event that the person is overweight or obese.

But for other questions whose sets aren't disjoint, event A or B usually means all the elements that are in either A or B or both sets.

b) Option C.

P(A or B) = 0.71

c) Option A

P(C) = 1 - P(A or B) = 0.29

Step-by-step explanation:

b) Event B specifically rules out obesity, meaning, set A and set B have no elements in common.

In a normal probability question, event A or B usually means all the elements that are in either A or B and elements that are in the two sets.

But for this question, since, it has been made clear that there are no common elements in the two sets, event A or B is event that the person is overweight or obese. Option D.

b) For disjoint sets, P(A or B) = P(A) + P(B) = 0.38 + 0.33 = 0.71. Option C.

c) P(C) is the set of all elements that are not in either A or B.

P(C) = 1 - P(A or B) = 1 - 0.71 = 0.29. Option A.

6 0
3 years ago
Write parametric equations of the line -3x+4y=7
trapecia [35]

Answer:

x = 1 + t and y = 2.5 + 0.75t

Step-by-step explanation:

Parametric equations are the equations in which the all the variables of the equation are written in terms of a single variable. For example in 2-D plane, the equation of the line is given by y=mx+c, there x is the independent variable, y is the dependent variable, m is the slope, and c is the y-intercept. The equation of the given line is -3x + 4y = 7. The goal is to convert the variables x and y in terms of a single variable t. First of all, take two points which lie on the line. By taking x=1, y comes out to be 2.5 and by taking x=0, y comes out to be 2.5. The general form of the straight line is given by:

(x, y) = (x0, y0) + t(x1-x0, y1-y0), where (x, y) is the general point, (x0, y0) is the fixed point, t is the parametric variable, and (x1-x0, y1-y0) is the slope.

Let (x0, y0) = (1, 2.5) and (x1, y1) = (0, 1.75). Substituting in the general equation gives:

(x, y) = (1, 2.5) + t(1, 0.75). This implies that x = 1 + t and y = 2.5 + 0.75t!!!

6 0
3 years ago
Read 2 more answers
together, jason and mara have $74. jason has $6 more than 1/3 as much money as Mara has. how much does each person have?
alina1380 [7]
Make an equation system based on the problem
<span>Jason and Mara have $74
</span>⇒ j + m = 74
<span> Jason has $6 more than 1/3 as much money as Mara has
</span>⇒ j = (1/3)m + 6
<span>
Then, solve the equation by subtitution
j + m = 74
(1/3)m + 6 + m = 74
(1/3)m + m = 74 - 6
(1/3)m + (3/3)m = 68
(4/3)m = 68
m = 68 </span>÷ 4/3
m = 68 × 3/4
m = 51
Mara has $51

j + m = 74
j + 51 = 74
j = 74 - 51
j = 23
Jason has $23
6 0
3 years ago
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?  i ne
tatiyna

Answer:  The answer is AB = CD.

Step-by-step explanation: We are given a quadrilateral ABCD with AB ║ CD.

We know that a quadrilateral is said to be a parallelogram if any one of the following conditions is satisfied:

(i)  If both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram.

(ii) If one pair of opposite sides of a quadrilateral is both equal and parallel, then it is a parallelogram.

(iii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

We are given that AB is parallel to CD, so by the condition (ii), if we get the additional information that AB = CD, then ABCD will be a parallelogram.

Thus, the answer is AB = CD.

4 0
3 years ago
Read 2 more answers
A circle has a circumference of 42 in.what is the area of the circle
Solnce55 [7]

Answer:

140.37 in²

Step-by-step explanation:

C = 2πr

42 = 2πr

21 = πr

r = 21/π

A = πr²

A = π × (21/π)²

≈ 140.37 in²

3 0
3 years ago
Read 2 more answers
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