1/2 is the same as .5 and 4 is a whole number, so the decimal form would be 4.5
Answer:
(a)0.34
(b)0.5
(c)0.185
(d)0.544
(e)0.655
(f)Not disjoint events
(g)Independent events
Step-by-step explanation:
The summary of education levels among party lines is given in the table below
(a)Probability a randomly selected participant has a college degree.
The probability a randomly selected participant has a college degree is:
(b)The probability that a randomly selected participant is a democrat.
(c)The probability that a randomly selected participant is a democrat and has a college degree.
(d)Probability of being a democrat given that the participant has a college degree.
(e)The probability of begin a democrat or having a college degree
Number of Democrats =100
Number of Those with College degrees = 68
Number of democrats with College degrees =37
Therefore:
Probability of begin a democrat or having a college degree
(f)The event of having a college degree and being a democrat are not disjoint events as there are some democrats who have a college degree.
(g)The event of having a college degree and being a democrat are independent events as the outcome of one does not affect the other.
Answer:
<h2>SA = 5645cm²</h2>
Step-by-step explanation:
We have three pairs of congruent rectangles
9cm × 4m; 9cm × 5cm and 4m × 5cm
We know 1m = 100cm, therefore 4m = 400cm
The formula of an area of a rectangle l × w:
A = l · w
Substitute:
A₁ = 9cm · 4m = 9cm · 400cm = 3600cm²
A₂ = 9cm · 5cm = 45cm²
A₃ = 4m · 5cm = 400cm · 5cm = 2000cm²
Calculate the surface area:
SA = A₁ + A₂ + A₃
SA = 3600cm² + 45cm² + 2000cm² = 5645cm²
Answer:
1692.5 ft³
Step-by-step explanation:
Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.
14 ft ÷ 2 = 7 ft
h = 11 ft
r = 7 ft
Now plug it in the equation.
In the equation you have this sign above. Remember this is the pi sign which is 3.14.
V = 3.14r²h
V = 3.14<u>(7)</u><u>²</u> × 11
V = <u>3.14(49)</u> × 11
V = <u>153.86 × 11</u>
V = 1692.5 ft³
Hope this helps, thank you :) !!
Answer:
The answer is: y = -3x + 10
Step-by-step explanation:
Given point: (4, -2)
Given slope: m = -3
Use the point slope form of the equation and substitute:
y - y1 = m(x - x1)
y - (-2) = -3(x - 4)
y + 2 = -3x + 12
y = -3x + 10
Proof:
f(4) = -3(4) + 10
f(4) = -12 + 10
= -2, giving the point (4, -2)
Hope this helps! Have an Awesome Day!! :-)