Answer:
182.41
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
40th percentile
Value of X when Z has a pvalue of 0.4. So X when Z = -0.253.
So the answer is 182.41.
To solve the problem we must establish two equations.
let x be the mass of the 20 cents almonds
y be the mass of the 36 cents mixture
first equation is:
x + 40 = y
the second equation is:
0.2x + 40(0.4) = 0.36y
solving the equations simultaneously
x = 10 lb of the 20 cents almonds is needed to mix
Answer:
A=202
Step-by-step explanation:
A=2(wl+hl+hw)
2·(13·5+2·5+2·13)=202
the given line is 2y=6x+8
let us find slope of this line using y=mx+b
so convert the given equation in slope intercept form,
2y=6x+8
divide both sides by 2
y=3x+4
slope m=3
two parallel lines have same slopes
so slope of line parallel to it is also 3 (option C)
45,000-780h=y
It looses 780 gallons per hour so you do 780 time # of hours.
