Answer:
(−3,5)
Step-by-step explanation:
x= −3 , y= 5
Answer:
45 and 225degrees
Step-by-step explanation:
Given the expression
tan⁻¹1
Using the calculator
tan⁻¹1
tan⁻¹1 = 45degrees
Since tan is positive in the third quadrant
theta= 180 + theta
theta = 180 + 45
theta = 225degrees
Hence the values of theta are 45 and 225degrees
Answer:
Step-by-step explanation:
First add the shoes and the toys: 63+54 = $117
Second subtract 45 dollars from $117 = 72
Third divide 72 by 9 = 8 weeks
Answer: 8 weeks
Correct answer; A right angle
Answer: test statistic = 0.002
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 15
For the alternative hypothesis,
µ > 15
The inequality sign means that it is right tailed.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 36,
Degrees of freedom, df = n - 1 = 36 - 1 = 35
t = (x - µ)/(s/√n)
Where
x = sample mean = 16.33
µ = population mean = 15
s = samples standard deviation = 2.54
t = (16.33 - 15)/(2.54/√36) = 3.14
We would determine the p value using the t test calculator. It becomes
p = 0.002