Answer:
The 95% confidence interval is 
A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as

=> 
=> 
Next we obtain the critical value of
from the normal distribution table , the value is

Generally the margin of error is mathematically represented as

substituting values


The 95% level of confidence interval is mathematically represented as

substituting values


The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Subtract 6 from both sides
15x= 195
Divide both sides by 15
x=13
Final answer: x=13
Check:
15(13)+6
195+6
201
201=201
X²-5x-36
Write -5x as a sum or difference.
x²+4x-9x-36
Factor out x from the expression.
x(x+4)-9(x+4)
Factor out x+4 from the expression.
(x+4)(x-9)
Answer: The second step is to factor out x.
There are 4 quarts in a gallon so, therefore you would times 35 by 4 and get 140 quarts and 140 quarts is your answer
Answer:
Step-by-step explanation:
<u>Top base:</u>
<u>Left leg:</u>
<u>Bottom base:</u>
<u>Right leg:</u>
- c² = √6²+8² = √100
- c = 10 units
<u>Perimeter:</u>
- P = 6 + 8 + 10 + 12 = 36 units