Answer:
( x - 2 ) ( x + 2 ) ( x² + 4 ) - ( x² - 2 ) ( x² + 3 )
(x²– 4) (x²+4) – (x⁴ + x² – 6)
( x⁴ – 16 ) – ( x⁴ + x² – 6 )
( x⁴ – 16 ) + ( – x⁴ – x² + 6 )
– x² – 10
I hope I helped you^_^
Answer:


Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:

This gives:

Make m ths subject


So, we have:


Considering the given angle again, we have:

This gives:

Make n the subject


So, we have:


Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
Answer:
Step-by-step explanation: