Μ = 500, population mean
σ = 110, population stadard deviation
The given table is
z 0.00 0.25 0.35 0.45 1.00 1.26 1.35 1.36
P 0.5000 0.5987 0.6368 0.6736 0.8413 0.8961 0.9115 0.9131
Range of random variable is X = [350, 550].
Calculate z-score for x = 350.
z = (350 - 500)/110 = -1.364
From the given tables,
The probability at x = 350 is
1 - 9131 = 0.0869
Calculate the z-score for x = 550.
z = (550 - 500)/110 = 0.454
From the given tables,
The probability at x = 550 is 0.6736
The probability that x =[350,550] is
0.6736 - 0.0869 = 0.5867
Answer: 0.5867 (or 58.7%)
<h2>
Answer with explanation:</h2>
Given : An urn contains 2 red marbles and 3 blue marbles.
Total marbles = 2+3=5
a) The general ways in which the person could get a red marble and a blue marble are :
1) He draws red marble first and then second marble as blue.
2) He draws blue marble first marble and then second marble as red.
b) The number of ways to get one red and one blue marble is given by :-
(i)
c) Number of ways to get 2 marbles from 5 is given by :-
(ii)
Now, The probability the person gets a red and a blue marble will be :-
[Divide (i) by (ii)]
Hence, the probability the person gets a red and a blue marble= 0.6
It is true that bad road condition does have a direct impact
on the physical, emotional and economic aspects to the family, the community
and the country. Bad roads can cause accidents which directly impacts a person
physically. Mentally it is very stressful for a person to drive on bad roads. He
or she has to be extra careful regarding potholes and other damages that have
happened to the road. Economically bad roads can be the reason for price rise
of products as time required to move a product via road is more. Also the cost
of transport increases drastically.
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split
into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
<span>(√2+√6)
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