Answer:
<h2>2</h2>Step-by-step explanation:
Plz help me solve and show your work.
1 answer:
Hi there!
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
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Answer:
a.
c. No. Delicious Candy isn't violating any government regulations
Step-by-step explanation:
a.
-A uniform distribution is given by the formula:
#we substitute our values in the formula above to determine the distribution:
Hence, the probability density function for the box's weight is given as:
b. The probability of the box's weight being exactly 32 ounces is obtained by integrating f(x) over a=b=32:
Hence, the probability that a box weighs exactly 32 ounces is 0.000
ii.The probability that a box weighs more than 32.3 is obtained by integrating f(x) over the limits 32.3 to 32.6 :
Hence, the probability that a box weighs more than 32.3 ounces is 0.3750
iii. The probability that a box weighs less than 31.8 is 0.000 since the weight limits are .
-Any value above or below these limits have a probability of 0.000
c. Let 32 ounces be the government's stated weight.
Hence, Delicious Candy isn't violating any government's regulations.