Elga’s age is 40 and Alvin’s age is 54
Answer:

Step-by-step explanation:
GIVEN: Suppose that in a certain county
of voters are registered as Democrats,
as Republicans,
as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.
TO FIND: Probability that the first call will be to either a Democrat or a Republican.
SOLUTION:
Lets total population of county be
.
voters registered as Democrats 
voters registered as Republicans 
voters registered as Green party 

Probability that first call will be to Democrats

Probability that first call will be to Republican

probability that the first call will be to either a Democrat or a Republican



Hence the probability that the first call will be to either a Democrat or a Republican is 
He has 87 cards then he gets 9 more which is 96, he then gives 16 away which is 80, then he is given 3 which is 83 he sells all 83 cards to the collector & the collector gives him $124.50 each card is worth $1.50
Answer:
a) 0.283 or 28.3%
b) 0.130 or 13%
c) 0.4 or 40%
d) 30.6 mm
Step-by-step explanation:
z-score of a single left atrial diameter value of healthy children can be calculated as:
z=
where
- X is the left atrial diameter value we are looking for its z-score
- M is the mean left atrial diameter of healthy children (26.7 mm)
- s is the standard deviation (4.7 mm)
Then
a) proportion of healthy children who have left atrial diameters less than 24 mm
=P(z<z*) where z* is the z-score of 24 mm
z*=
≈ −0.574
And P(z<−0.574)=0.283
b) proportion of healthy children who have left atrial diameters greater than 32 mm
= P(z>z*) = 1-P(z<z*) where z* is the z-score of 32 mm
z*=
≈ 1.128
1-P(z<1.128)=0.8703=0.130
c) proportion of healthy children have left atrial diameters between 25 and 30 mm
=P(z(25)<z<z(30)) where z(25), z(30) are the z-scores of 25 and 30 mm
z(30)=
≈ 0.702
z(25)=
≈ −0.362
P(z<0.702)=0.7587
P(z<−0.362)=0.3587
Then P(z(25)<z<z(30)) =0.7587 - 0.3587 =0.4
d) to find the value for which only about 20% have a larger left atrial diameter, we assume
P(z>z*)=0.2 or 20% where z* is the z-score of the value we are looking for.
Then P(z<z*)=0.8 and z*=0.84. That is
0.84=
solving this equation for X we get X=30.648
Answer:
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Step-by-step explanation: