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boyakko [2]
2 years ago
13

Pls help me find answer​

Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer:

m = 3/4

Step-by-step explanation:

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A fair 6-faced die is tossed twice. Letting E and F represent the outcomes of the each toss (which are independent), compute the
andreyandreev [35.5K]

Answer:

(a)  \frac{1}{18}            (d)  \frac{1}{9}

(b) \frac{1}{2}               (e) \frac{1}{3}

(c) \frac{4}{9}               (f)  \frac{1}{12}

Step-by-step explanation:

On tossing a 6-face die twice the outcomes of E and F are:

{1, 2, 3, 4, 5 and 6}

And there are total 36 outcomes of the form (E, F).

(a)

The sample space of getting a sum of 11 is: {(5, 6) and (6, 5)}

The probability  of getting a sum of 11 is:

P(Sum 11) =\frac{2}{36} \\=\frac{1}{18}

(b)

The sample space of getting an even sum is:

{(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6) (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6) (5, 1), (5, 3), (5, 5), (6, 2), (6, 4), (6, 6)}

The probability  of getting an even sum is:

P(Even Sum)=\frac{18}{36}\\ =\frac{1}{2}

(c)

The sample space of getting an odd sum more than 3 is:

{(1, 4), (1, 6), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4),     (5, 6), (6, 1), (6, 3) and (6, 5)}

The probability of getting an odd sum more than 3 is:

<em>P</em> (Odd Sum more than 3) =

=\frac{16}{36}\\=\frac{4}{9}

(d)

The sample space of (E, F) such that E is even and less than 6, and F is odd and greater than 1 is:

{(2, 3), (2, 5), (4, 3) and (4, 5)}

The probability such that E is even and less than 6, and F is odd and greater than 1 is:

P(Even E1) =\frac{4}{36} \\=\frac{1}{9}

(e)

The sample space of E and F such that E is more than 2, and F is less than 4 is:

E = {3, 4, 5 and 6}     F = {1, 2 and 3}

Then the total outcomes of (E, F) will be 12.

The probability such that E is more than 2, and F is less than 4 is:

P(E>2, F

(f)

The sample space of (E, F) such that E is 4 and sum of E and F is odd is:

{(4, 1), (4, 3) and (4, 5)}

The probability such that E is 4 and sum of E and F is odd is:

P(E=4, E+F = Odd)=\frac{3}{36} \\=\frac{1}{12}

6 0
3 years ago
Hannah is experimenting with a new drawing program on her computer. She created quadrilateral MATH with coordinates M(1, 2). A(-
Dovator [93]

Answer:

It is a square, Hannah is a G.

Step-by-step explanation:

You can plug it in for visual, see attachment. You can see that it is a bit rotated square.

But real proof should be done with the points.

For it to be square all sides need to equal each other.

What's the x distance of M and A?

It is 1-(-5) = 1+5 = 6

What is the x distance of H and T?

It is 0-(-6) = 0+6 = 6

What is the y distance of M and H?

It is 2-(-4) = 2+4 = 6

What is the y distance of A and T?

It is 3-(-3) = 3+3 = 6

All are 6 so all sides are equal so it is a square.

8 0
2 years ago
Find the upper quartile for the data. {9, 6, 13, 8, 8, 10, 9.5, 8, 7.5, 8.5}
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Answer:

the answer is 9.5 (B)

Step-by-step explanation:

4 0
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