Find the value of x. Round your answer to the nearest tenth.
2 answers:
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Answer:
0.27
Step-by-step explanation:
To solve this problem, we will use Set Theory Approach to Probability.
Let U = the Sample Space which consists of all possible tests.
Of course U = {1,2,3 .... ,30}
So, no elements in that.
U = n = 30
Let Q = the event bearing a multiple of 4 No winning ticket, and,
R = the case that has the No. 19 winning ticket
∴
Q = { 4, 8, 12 , 16 , 20, 24 , 28} , and
R = {19} , so that
Q ∩ R = ϕ
P(Q ∩R ) = 0
As, n(Q) = 7 , n(R) = 1 , we have,
P (Q) = =
, and P (R) =
P
(Q∪R) = P(Q
) + P(R) − P(A∩B) = +
− 0 =
≅ 0.27 .
Answer:
The shortest altitude is 6.72 cm
Step-by-step explanation:
Given that the side lengths are
24 cm, 25 cm, 7 cm
The area of a triangle =
Where;
s = Half the perimeter = (24 + 25 + 7)/2 = 28
A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²
We note that 84/7 = 12
Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7
To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude
Altitude = A/(1/2 ×base)
Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;
We set the base to 25 cm to get;
Area of the triangle A = 1/2 × base × Altitude
84 = 1/2 × 25 × Altitude
Altitude = 84/(1/2 × 25) = 6.72 cm
The shortest altitude = 6.72 cm.
Answer:
Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.