Answer:
Step-by-step explanation:
In this question, the sample space contains 8 elements and has been given as;
HHT HHH THH HTH HTT TTT TTH THT
1. For event A:
Outcomes of alternating tail and head = THH HTH HTT THT
= 4 outcomes
Pr(alternating tail and head (with either coming first)) = 
= 
2. For event B:
Outcomes of no tails on the first two tosses = HHT HHH
= 2 outcomes
Pr (No tails on the first two tosses) = 
= 
For event C:
Outcomes of a tail on both the first and the last tosses = THT TTT
= 2 outcomes
Pr(A tail on both the first and last tosses) = 
= 
Part 1:
Given a number line with the point

and the point

The sampling error is given by:

Part 2:
Given a number line with the point

and the point

The sampling error is given by:
C) 18 is your answer
Hope this brings you luck ^o^ ^_^
By definition of tangent,
tan(<em>x</em>) = sin(<em>x</em>) / cos(<em>x</em>)
so if tan(<em>x</em>) < 0, and we're given cos(<em>x</em>) = -1/4 < 0, then it follows that sin(<em>x</em>) > 0.
Recall the Pythagorean identity:
cos²(<em>x</em>) + sin²(<em>x</em>) = 1 → sin(<em>x</em>) = + √(1 - cos²(<em>x</em>))
Then
sin(<em>x</em>) = √(1 - (-1/4)²) = √(15/16) = √(15)/4
Recall the double angle identity:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then
sin(2<em>x</em>) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8
Complete Question
The option to the blank space are shown on the first uploaded image
Answer:
Neal's decision is to <u>fail to reject </u> the <u>null hypothesis</u> (p 0.066). There is <u>no sufficient </u> evidence to <u>prove</u> the claim that the average electricity consumption of <u>all Ledee household </u>is <u>greater than</u> , <u>854.28 kWh</u>
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
The t-statistics is 
The p-value is 
Now from the given data we can see that

Generally when this is the case , we fail to reject the null hypothesis
So
Neal's decision is to <u>fail to reject </u> the <u>null hypothesis</u> (p 0.066). There is <u>no sufficient </u> evidence to <u>prove</u> the claim that the average electricity consumption of <u>all Ledee household </u>is <u>greater than</u> , <u>854.28 kWh</u>