The probability is P = 0.135
<h3>
How to find the probability?</h3>
First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.
- P(head) = 1/2
- P(odd number) = 3/6 (there are 3 odd numbers on the dice)
- P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).
The joint probability is given by the product between the individual probabilities, so we get:
P = (1/2)*(3/6)*(28/52) = 0.135
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Answer:
Step-by-step explanation:
We have to use absolute value notation to express the given statement.
Absolute value function:
- It is a function that contains absolute value symbol.
![|x| = x, ~x > 0\\~~~~=-x, ~x < 0](https://tex.z-dn.net/?f=%7Cx%7C%20%3D%20x%2C%20~x%20%3E%200%5C%5C~~~~%3D-x%2C%20~x%20%3C%200)
is used to express the distance between two points a and b on a number line.
We want to write a absolute value function for all numbers x whose distance from 6 is no more than 7.5 units.
Thus, we can write:
![|x-6| \leq 7.5](https://tex.z-dn.net/?f=%7Cx-6%7C%20%5Cleq%207.5)
This can be interpreted as the absolute value of difference between x and 6(both in positive sense and negative sense) is less than equal to 7.5 that is not more than 7.5 units.
Answer:
90degrees
Step-by-step explanation:
To get the measure of angle C, we will use the cosine rule as shown;
AB² = AC²+ BC² - 2(AC)(BC)cos C
85² = 13²+ 84² - 2(13)(84)cos C
7225 = 169 + 7056 - 2184cosC
7225 - 7225 = -2184cosC
0 = -2184cosC
cosC = -0/2184
cosC = 0
C = arccos0
C = 90degrees
Hence the measure of angle C is 90degrees
The height of the trapezoid is 3cm. Let me know if you would like an explanation!