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3 years ago

Probability of rolling factors of 20

1 answer:

3 0

If you are rolling a single six sided die numbered 1-6, you find that only 1,2,4, and 5 are factors of 20. Now the theoretical probability of an event is the ratio comparing the number of desired outcomes to the total outcomes possible.

In this case: we have 4 desired outcomes out of a total 6 outcomes possible with a single roll the die.. therefore, the probability you seek is $\frac{4}{6} = \frac{2}{3}$ or approximately 67%.

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2x - y + 3 = -1<br> What is y & x?

SpyIntel [72]

Answer:

Slope=2

x−intercept=−

=−2

y−intercept=

=4.00000

Step-by-step explanation:

6 0

2 years ago

Consider the proof for the identity csc(x)+sin(x)=(2-cos^(2)(x))/(sin(x)).

spin [16.1K]

1. given:

csc(x) + sin(x)

2. definition of csc(x) :

1/sin(x) + sin(x)

3. combining fractions with a common denominator:

(1 + sin²(x))/sin(x)

4. expanding 1 = cos²(x) + sin²(x) :

(cos²(x) + sin²(x) + sin²(x))/sin(x)

5. simplifying:

(2 sin²(x) + cos²(x))/sin(x)

6. employing the same identity as in (4) :

(2 (1 - cos²(x)) + cos²(x))/sin(x)

7. expanding 2 (1 - cos²(x)) :

(2 - 2 cos²(x) + cos²(x))/sin(x)

8. simplifying:

(2 - cos²(x))/sin(x)

8 0

2 years ago

Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and

Ahat [919]

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

5 0

3 years ago

35 more than twice the value of e is 65

almond37 [142]

here is what I think since 2 multiplied by 15 equals 30 you at 35 more to that 30 and you get the answer 60. Is that how it is supposed to go?

5 0

3 years ago

Pleaseeeeeeeeeeeee help me!!!!!

Aneli [31]

Answer is 150/x see photo for solution

4 0

3 years ago