Answer: (a) P(no A) = 0.935
(b) P(A and B and C) = 0.0005
(c) P(D or F) = 0.379
(d) P(A or B) = 0.31
Step-by-step explanation: <u>Pareto</u> <u>Chart</u> demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.
The Pareto chart below shows the number of people and which category they qualified each public school.
(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:
P(no A) = 
P(no A) = 1 - 0.065
P(no A) = 0.935
b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:
P(A and B and C) = 
P(A and B and C) = 
P(A and B and C) = 0.0005
c) Probability of an D or an F is the sum of probabilities of an D and of an F:
P(D or F) = 
P(D or F) = 
P(D or F) = 0.379
d) Probability of an A or B is also the sum of probabilities of an A and of an B:
P(A or B) = 
P(A or B) = 
P(A or B) = 0.31
Answer: The angle through which the pendulum travels =
.
Step-by-step explanation:
Formula: Length of arc:
, where r= radius ( in radians) ,
= central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get

In degrees ,
![\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctimes%5Cdfrac%7B180%7D%7B%5Cpi%7D%3D%5Cdfrac%7B110%5Ctimes7%7D%7B22%7D%20%5C%20%5C%20%5C%20%5C%20%20%20%20%5B%5Cpi%3D%5Cdfrac%7B22%7D%7B7%7D%5D)

Hence, the angle through which the pendulum travels =
.
Answer:
1.75
Step-by-step explanation:
0.009÷0.004-
=
2.25-0.5=
1.75
Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
You would start by figuring out the distance the turtle swims every second by dividing 24 by 16.
24➗16=1.5
From this we can take the numbers from either T: 1, ___, 24, 45 or D: ___, 10, 16, ___ to figure out the blank spaces for the other using multiplication or division. Divide T by 1.5, or multiply D by 1.5 to find the other
T: 1, 15, 24, 45
D: 1.5, 10, 16, 30