Find the area of the figure below. You may assume all sides are perpendicular.
1 answer:
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Answer:
The required probability is 0.533.
Step-by-step explanation:
Consider the provided information.
The actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces.
Let x is the random variable for the actual weight of chocolate.
According to PDF function.
Where
It is given that ranging from 31 to 32.5 ounces.
Substitute a=31 and b=32.5 in above function.
We need to find the probability that a box weighs less than 31.8 ounces
Now according to PDF:
Hence, the required probability is 0.533.
Answer:
88 centimeters is the diameter of the cilinder
Step-by-step explanation:
The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter
Since pressure P=F/A And P1=P2
F1=2000kg.g
A1=π*r²
F2=25kg.g
A2=π*0.05²
2000/(π*r²)=25/(π*0.05²)
and we solve for A1
r²=2000*0.05²/25
r=20*0.05/5=0.44m or 44cm
This is the radius, meaning that the diameter will be twice this number
Answer:
Step-by-step explanation:
Let x = the number of bottles of paint that Carmen can buy
Let y = the number of boxes of colored pencils that Carmen can buy
A bottle of paint costs $2
A box of colored pencils costs $3.50
She can spend no more than $42 on art supplies. This means
She can buy bottles of paint worth 2×x = $2x
She can buy boxes of colored pencils
worth 3.5 × y = $3.5y
Since the total amount she can spend cannot exceed $42, the equation becomes
2x + 3.5y lesser than or equal to 42
This is shown in the attached photo
b) three different solutions to the inequality would be three different possible values that x and y can take. These are
x = 7 while y = 8
x = 10 while y = 6
x = 14 and y = 4
