Answer:
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
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:

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?
This is 1 subtracted by the pvalue of Z when X = 16. So



has a pvalue of 0.9082
1 - 0.9082 = 0.0918
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Answer:
<h3>The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction</h3>
Step-by-step explanation:
Given the expression
for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Rectanglearea=legnth timees width
triagnlearea=1/2base times height
ok so we find volume of entier land first
we can cut into triangle an rectangle
triangle=height=650-200=450
base=600
area=1/2*600*450=135000 ft^2
rectangle=200 times 600=120000
add
135000+120000=255000ft^2
find other areas and subtract
areahouse=45*38=1710
areawooded=118*60=7080
frontyard=78*40=3120
add
1710+7080+3120=11910
minus
255000-11910=243090
how many acres are farmed
43560ft^2=1acre
divide both sides by 43560
1ft^2=1/43560 acre
multiply both sides by 243090
243090ft^2=243090/43560acre=5.5805acre=5.6acre rounded
answer is 5.6 acer