# of sailboats : # of rowboats = 7:4
# of sailboats = 56
56 / 7 = 8
8 * 4 = # of rowboats
# of rowboats = 32
Area of the circle = pi r^2
So 6 to 0 is 6
The radius is 6
pi = 3.14 approximately
So area = 3.14 x 6^2
= 36 x 3.14
=<u>113.04</u>
Answer:
x= 52°
Step-by-step explanation:
the sum of entire angles in a trapezium is 360. it the same for any four sided figure whether it's a square of rectangle.
we are given 2 sides with corresponding values. in this trapezium it is important to note that the top 2 angles(left and right) are the same and the bottom 2 angles (left and right)are the same.
we know that the top left is (97-3x)° so the top right will also be (97-3x)°
we know that the bottom left is (69+5x)° so the bottom right is also (69+5x)°
so the total sum of angle is;
2 x (97-3X) + 2 x (69+5x) = 360°
194-3x + 138 + 5x = 360
8x - 56 = 360
8x = 416; x = 416/8 = 52°
Answer:
The probability of 10 or more cars experiencing the fault, 0.00813 is less than 0.01, hence, the manager will not issue a recall for this engine fault.
Step-by-step explanation:
This is Poisson distribution problem
Poisson distribution formula is given by
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 4 cars developing faults per year.
x = variable whose probability is required = 10 or more cars
Meaning we require
P(X ≥ x) = Σ (e^-λ)(λˣ)/x! (Summation From x to the end of the variables)
But Mathematically,
P(X ≥ 10) = 1 - P(X ≤ 9) (since only whole number values are allowed for X)
Therefore,
P(X ≥ 10) = 1 - P(X ≤ 9) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) +.......+ P(X=9)]
P(X ≥ 10) = 1 - P(X ≤ 9) = 1 - 0.99187 = 0.00813
P(X ≥ 10) = 0.00813 < 0.01, Hence the manager will not issue a recall for this engine fault.
The theoretical probability of a yellow marble would be 8/24 or 33.3%. (this is found by adding all possibilities so 10+4+2+8 and dividing it by the yellow). The experimental probability was 8/16 or 50% so a 16.67% higher probability than the expected
