Answer:
The test statistic is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The The level of significance is 
The sample size is n = 18
The null hypothesis is 
The alternative hypothesis is 
The sample mean is 
The standard deviation is 
Generally the test statistics is mathematically represented as

substituting values


Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
Answer:
24-20 311-310 107-110
Step-by-step explanation:
Answer:
sin(30°)=cos(60°)=½
Step-by-step explanation:
Sin(30°) and cos(60°) have the same value of √1/2 which gives ½
36000 over 1 to get the fraction of 36000