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Mice21 [21]
4 years ago
15

the contrapositive of the following statement is true: if two angles are both right, then they are congruent. True or false

Mathematics
1 answer:
Alona [7]4 years ago
7 0
False, because right angles are always going to be 90` while congruent angles are 110`
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Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind
Gemiola [76]

Answer:

(a)

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

(b)

i.

1\ girl = \{GBB, BBG, BGB\}

P(1\ girl) = 0.375

ii.

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

P(Atleast\ 2 \ girls) = 0.5

iii.

No\ girl = \{BBB\}

P(No\ girl) = 0.125

Step-by-step explanation:

Given

Children = 3

B = Boys

G = Girls

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

n(S) = 8

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

1\ girl = \{GBB, BBG, BGB\}

And the number of the list is;

n(1\ girl) = 3

The probability is calculated as;

P(1\ girl) = \frac{n(1\ girl)}{n(S)}

P(1\ girl) = \frac{3}{8}

P(1\ girl) = 0.375

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

7 0
3 years ago
What is the slope of the line that passes through the pair of points (2,12 and (6,11?
Sedaia [141]

slope = difference in y / difference in x

slope = 12 -11 / 2 -6

slope = 1 / -4

slope = -1 / 4 or

-.25

7 0
4 years ago
Greatest president ~ A Gallup Poll of American adults in February 2009 asked the following question. "Which of the following pre
Anastasy [175]

Answer:

The sample proportion is 0.19815

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound. The sample proportion is the halfway point between these two bounds, that is, the sum of the bounds divided by 2.

In this problem, we have that:

Lower bound: 0.1759

Upper bound: 0.2204

Sample proportion:

(0.1759 + 0.2204)/2 = 0.19815

The sample proportion is 0.19815

6 0
3 years ago
Which algebraic of an transformation on a coordinate grid does not preserve congruence
Karo-lina-s [1.5K]

Answer:

rotation

Step-by-step explanation:

6 0
3 years ago
Write 3 rational number whose value is less than 1/2
fredd [130]
1/3, 1/4, 1/5. I didn’t really understand your question so see if that helps?
6 0
3 years ago
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