the sum of two numbers is 54. if the greatest number is reduced by 20 and the lesser number tripled the difference of the two wo
uld be six. what's the product of the two number
1 answer:
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Answer:
The pyramid's surface area is 78 square centimeters
Step-by-step explanation:
The formula of the surface area of a pyramid is S.A = A + p s, where
- A is the area of its base
- p is the perimeter of its base
- s is the slant height of it
∵ The area of the base of a triangular pyramid is 28 cm²
∴ A = 28 cm²
∵ The perimeter of the base is 20 cm
∴ p = 20 cm
∵ The he slant height is 5 cm
∴ s = 5 cm
- Substitute these values in the formula of the surface area
above to find it
∵ S.A = 28 + (20)(5)
∴ S.A = 28 + 50
∴ S.A = 78 cm²
The pyramid's surface area is 78 square centimeters
Answer:
The answer is neither.
Step-by-step explanation:
We need to solve for y in the equation, 10x-2y= 6.
In other words, we are going to find the slope intercept of that equation.
So we have now have both the equations:
It's not parallel because the slopes aren't the same. It's not perpendicular because when the slope of the equation becomes a negative reciprocal, it still doesn't end up with the same slope as the other equation.
It's neither parallel or perpendicular.
Answer:
By the Central Limit Theorem, the distribution of the sample means is approximately normal with mean 41 and standard deviation 2.92, in thousands of dollars.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 41, standard deviation of 28:
This means that
Sample of 92:
This means that
Distribution of the sample means:
By the Central Limit Theorem, the distribution of the sample means is approximately normal with mean 41 and standard deviation 2.92, in thousands of dollars.