Answer:
Step-by-step explanation:
(a⁴-b⁴)/(a-b)
using..(a+b²)=(a+b)(a-b)
=(a²+b²)(a²-b²)/(a-b)
=(a²+b²)(a+b)(a-b)/(a-b)
=(a²+b²)(a+b)
Answer:
Below.
Step-by-step explanation:
To find the volume of the silo find the volum of the hemisphere with radius of 15 feet and add the volume of the cylinder with a radius of 15 feet and a height of (100 - 15) = 85 feet.
The total volume = 1/2 * 4/3 π (15)^3 + π (15)^2 * 85
= 67151.5 ft^3.
Answer:
Jada error was he multiplied the equation by (-9/4) to make the coefficient of x one. He should have multiplied it by 108
Step-by-step explanation:
Jada solved the equation
-4/9 = x/108
using the steps below:
-4/9 = x/108
(-4/9)(-9/4) = (x/108)(-9/4)
x = -1/48
Jada should have multiplied through by 108, instead of (-4/9). That was the error he made.
Multiplying through by 108 gives
(-4/9)(108) = (x/108)(108)
-48 = x
x = -48
The answer should have been
x = -48
and not
x = -1/48
Answer:
By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 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.
Average of 1,200 dollars and a standard deviation of 900 dollars.
This means that 
Sample of 10.
This means that 
The sampling distribution of the sample mean amount of money in a savings account is
By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
Draw the triangle and then use Pythagoras' theorem
distance =

= 19.70 (2dp)