Answer:
√x³=√(x²·x)=x√x
√xy³z=√(x·y²·y·z)=y√xyz
√18x²y=√(3²·2·x²·y)=3x√2y
√32x⁴y²=√(2⁴·2·x⁴·y²)=2²x²y√2=4x²y√2
2√16x⁷y³z⁴=2√(2⁴·x⁶·x·y²·y·z⁴)=2³x³yz²√xy=8x³yz²√xy
-3√180x⁵y=-3√(3²·2²·5·x⁴·x·y)=-3(3)(2)x²√5xy=-18x²√5xy
5√108xyz²=5√(2²·3²·3·x·y·z²)=5(2)(3)z√3xy=30z√3xy
3x√xy¹⁰z⁷=3x√x·y¹⁰·z⁶·z)=3xy⁵z³√xz
x²√x³y²=x²√(x²·x·y²)=x²·x·y√x=x³y√x
Answer:
- 2: $23,240
- 3: $23,240
- 4: $23,240
Step-by-step explanation:
You want to know the total sales value of 2, 3, or 4 lots per hectare, when each lot is sold for $23,240 per hectare.
<h3>Sales value</h3>
If lots are sold a the rate of $23,240 per hectare, it does not matter how many lots a hectare is divided into. Each hectare will have a total value of $23,240, regardless of the number of lots.
For example, if the hectare is divided into 10 lots, each will sell for ...
$23,240/10 = $2324.
The total value of those 10 lots is ...
10 × $2324 = $23,240.
Replacing 10 by N gives the same result:
N × ($23,240/N) = $23,240
Total sales values are $23,240 for any number of lots.
I don't see a square root sign anywhere, so I'll assume the integral is

First complete the square:

Now in the integral, substitute

so that

Under this change of variables, we have

so that

Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to


Expand the sine term as

Then


So the integral is

Answer:
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
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 that the line pressure will exceed 1000 kPa during any measurement
This is 1 subtracted by the pvalue of Z when X = 1000. So



has a pvalue of 0.9525
1 - 0.9525 = 0.0475
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
The answer is 6.5 - you add 6 and 7 together and then you divide them by two