Answer:
The volume of the cylinder section is about 82.8, and the volume of the cone is about 28.2.
Step-by-step explanation:
To find the cone's volume, it is v=pir^2*h/3
To find the cylinder, it is v=pir^2*h
I'm sure you can do the rest.
Answer:
The answer to your question is y = -7/2x -13/2
Step-by-step explanation:
Point = (-3, 4)
Line -2x + 7y = -3
Process
1.- Solve equation for y to find the slope of the perpendicular line
7y = 2x - 3
y = 2/7 x - 3/7
slope = 2/7
Slope of the perpendicular line = -7/2
2.- Find the equation of the new line
y - y1 = m(x - x1)
y - 4 = -7/2(x + 3)
y - 4 = -7/2x - 21/2
y = -7/2x - 21/2 + 4
y = -7/2x -21/2 + 8/2
3.- Result
y = -7/2x -13/2
3 cookies for pouch because each x and y factor can be divided by 3
Answer:
The number of possible outcomes are 8.
Step-by-step explanation:
Given that,
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.
We need to calculate the number of possible outcomes
Using given data,
Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)
So, Outcomes = 8
Hence, The number of possible outcomes are 8.
Answer:
Step-by-step explanation:
Assuming this complete question:
"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean 
kilograms and standard deviation 
kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.
"
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where 
and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.
We can convert the corresponding z score for x=42.6 like this:
So then the corresponding z scale would be:
