Answer:
the probability is 1/12
Step-by-step explanation:
The probability, P(Tails) to get tails is equal to:

Because a penny have two possible options heads or tails and tails is one option.
Additionally, the probability P(3) that the number cube get a 3 is equal to:

Because the cube have 6 possible options and 3 is one option.
Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:
P(tails and 3) 
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872
Answer:
(1.7x10^13)+(0.8x10^13)
=(1.7x1e+13)+(0.8x1e+13)
=1.7e+13+0.8e+13
=2.5e+13
in actual number it would be 25,000,000,000,000
Step-by-step explanation:
Answer:
2) d. 60°
3) a. AB
Step-by-step explanation:
<u>Question 2</u>
ΔABC and ΔCDA are <u>congruent</u> because:
- they are both <u>right triangles</u>
- they <u>share one side</u> (AC)
- their hypotenuse are <u>parallel</u> (marked by the arrows)
This means the corresponding side lengths and angles are equal.
Therefore,
∠CDA = ∠ABC
⇒ x = 60°
<u>Question 3</u>
The <u>hypotenuse</u> is the <u>longest side</u> of a <u>right triangle</u> - the side opposite the right angle (the right angle is shown as a small square).
Therefore, the hypotenuse of ΔABC is the line AB.
Answer:
7 wrong answers.
Step-by-step explanation:
We know that when you answer a question well, you earn 8 points and a bad one loses 5 points, this means that when you answer 1 good and 1 bad, there is a total of 3 points (8-5).
This means that when answering 5 good and 5 bad, in total it would be 3 * 5 points, that is to say 15 points, that is, it goes through 2 points. To subtract 2 points, you would have to answer 1 good and 2 bad, (8 - 2 * 5), which turns out to be -2 points.
In total there would be 6 questions right and 7 questions wrong, like this:
8 * 6 + 5 * 7 = 13
13 points, in 13 questions (6 correct + 7 incorrect)
The rest of the questions were not answered so that the score does not go up or down.
Which means you got 7 wrong answers.