Answer:
The 80% confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is 
The standard deviation is 
From the question we are told the confidence level is 80% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the margin of error is mathematically represented as
=> 
Generally 80% confidence interval is mathematically represented as
=>
2/4= 10/20
1 4/10=14/10 14/10=28/20
10/20×28/20=7/10
I hope this helped!!!:)
Answer:
the slope of the line for y=12x+7 is steeper compared to the other equation
they both have the same y-intercept of y=7
Step-by-step explanation:
i just plugged it into desmos and looked at the graph
hope this helps <3
Answer:
D. The sequence diverges by oscillation.
Step-by-step explanation:
an = (-1.00000004)n
From root test
L = Lim n->infinity (|an|)(1/n)
==> L = Lim n->infinity (|-1.00000004n|)(1/n)
==> L = Lim n->infinity (|-1.00000004|n)(1/n)
==> L = Lim n->infinity |-1.00000004|
==> L = 1.00000004 > 1
Hence series diverges.
You can put the numbers where the variables are and do the arithmetic, or you can simplify the expression first. In the latter case, you have
(3a^(-2-(-1))b^(6-5)/2)^2 = (3a^(-1)b^1/2^2 = (3b/(2a))^2
= (3(-2)/(2(3)))^2 = (-1)^2 = 1
The value of the expression is 1.
