The least amount of money that should be budgeted to paint the monument is $1692.
<h3>Least amount of money that should be budgeted</h3>
First step
Using Pythagorean theorem to find the surface area
Since POR is a right triangle
Hence:
PO=20
BR=12
OR=12
PR=√20²+12²
PR=400+144
PR=544
Area of PBC=1/2×24×√544
Area of PBC=12√544
Lateral surface area=4×12√544
Lateral surface area=48√544
Lateral surface area=1119.54²ft
Second step
Since regular paint is 2 coats 200 sq. ft per gallon
Hence:
Number of gallons=1119.54×2/200
Number of gallons= 11.2 gallons
11.2×35= 392
1119.54/80=13 gallons
13×100 =1300
Last step
Least amount=392+1300
Least amount= $1692
Therefore the least amount of money that should be budgeted to paint the monument is $1692.
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Answer:
-7/2 or -3.5
Step-by-step explanation:
Make the equation first
7x-1 = 5x-8
7 = -2x
-7/2 = x
Answer:
2/6 or 1/3
Each number has 1 /6 probability. But since you can accept either 3 or 4, the probability is better and is 2/6 or simplified to 1/3.
The answer is (-∞.∞).
Draw out a number line. Plot 0 and -4 on the number line.
Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0
Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.
Note how the two graphs overlap to cover the entire real number line
So if we have x≤0 or x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)
This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept
Side note: if you change the "or" to "and", then the solution to x≤0 and x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.
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Answer:
<h2>The probability is 58 %.</h2>
Step-by-step explanation:
This problem belong to a normal distribution probability.
Mean = 63.6
Standard Deviation = 2.5.
We have to find the probability of a height greater than 63.0.
Due to the normal probability, we need to find the Z score first:
; where x is the height, u is the mean, and o is the standard deviation.
Once we have our Z score, we find the probability with the z-table (attached). So, for a z score of -0.24 we have a probability of 0.42.
But, the problem is asking for height greater than 63.0, this mean that we have to subtract 0.42 from 1, giving as result 0.58, which means a 58% of probability,
