a)
In order to calculate the area to the left of 25, first let's find the z-value using the formula below:
Where x = 25, the mean is equal to 23 and the standard variation is equal to 4.
So we have:
Looking at the z-table for the probability of z <= 0.5, we have 0.6915, so the area to the left of 25 is equal to 0.6915.
Answer:
The factorized form of the given expression is
Step-by-step explanation:
Given;
4a² + b² - 4ab - 8a + 4b + 4
This expression is factorized as follows;
(4a² - 8a + 4) + (b² - 4ab + 4b)
(4a² - 4a - 4a + 4) + b² - 4b(a - 1)
(4a - 4)(a - 1) + b² - 4b(a - 1)
(4a - 4)(a - 1) - 4b(a - 1) + b²
4(a - 1)(a - 1) - 4b(a - 1) + b²
4(a - 1)² - 4b(a - 1 + b/4)