Answer:
The probability is
.
Step-by-step explanation:
There are 7 democrats and 6 republicans
Number of ways in which 4 democrats and 2 republicans can be selected=
Number of ways in which 5 democrats and 1 republican can be selected=
Number of ways in which 6 democrats can be selected =
So, favourable outcomes are
Total possible outcomes =
Now, probability=
Learn more about probability:
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Answer:
41.04 meters
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:
BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).
The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:
BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).
Simplifying gives:
BC^2 = 1684.091844.
Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).
Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!
A) and translate figure A 11 units left and 5 units down
It will take Carlos 4 hours to walk 16 miles.
Any of the 4 people can take the first seat
since it gets occupied by one person , the next seat can be occupied by any of the remaining 3
similarly, the next one has 2 possibilities and the last seat can only be occupied by the man who is left
so by the principal of multiplication, no. of ways equals 4! = 4×3×2×1 = 24 ways