Answer:
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Step-by-step explanation:
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√20 the prime factors are 2, 2, 5 so
-2 * √4 *√5
-2*2*√5
-4√5 is the first part ,
now for √125, use prime factorization ,
all prime factors that make up 125 is
5, 5, 5 so √125 can be separated to √25√5 and √25 = 5 so the second part is 5√5.
now -4√5 - 5√5 = -9√5.
therefore answer is -9√5
Given, the density of a particular brand of gasoline = 0.737 g/ml.
13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.
First we will convert 13.4 gallon to ml.
We know that 1 gallon = 3.78541 litre
And 1 litre = 1000 ml
So we can write 1 gallon =
= 3785.41 ml.
13.4 gallon =
ml = 50724.494 ml.
Let's take there is x grams of gasoline
We know that density = (mass/ volume) = 
So we can write,

To find x we will multiply both sides by 50724.494. we will get,



So we have got the required answer.
Mass of gasoline = 37383.95 grams.
a) For x = 27:
z = 27-28/2 = -0.5
For x = 31:
z = 31-38/2 = 1.5
From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%
b) For x > 30.2:
z = 30.2-28/2 = 1.1
From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%