Answer: 0.701
Step-by-step explanation:
Formula : 
, where 
significance level , 
Population standard deviation, n= sample size.
As per given, n= 22
Critical z- value for 90% confidence level : 
Then,
Hence , error bound (EBM) of the confidence interval with a 90% confidence level= ± 0.701
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Answer:
<h2>m∠ACE = 90°</h2>
Step-by-step explanation:
Figure Interpretation:
m∠CBA + m∠CDE = 180
m∠BCA = (180-m∠CBA)/2
m∠DCE = (180-m∠CDE)/2
=======================
Then
m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2
= [360-(m∠CBA+m∠CDE)]/2
= [360 - 180]/2
= 90
finally,
m∠ACE= 180 - (m∠BCA + m∠DCE)
= 180 - 90
= 90
Answer:
Step-by-step explanation:
Given that in a study of a weight loss program, 4 subjects lost an average of 48 lbs.
It is found that there is about a 32% chance of getting such results with a diet that has no effect.
The results do not appear to have statistical significance. The reasons are
1) Sample size of 4 is very small not even meeting the bare minimum
2) Sample of 4 cannot be taken to represent the population
3) Whether bias was there in the selection of sample is not known.
4) Std deviation is not considered which is very important while concluding results.
Answer:
- 6°F
Step-by-step explanation:
Given :
Temperature at 6:00 = 15°F
Temperature dropped by 9°F by 8:00
Temperature by 8:00 = 15°F - 9°F = 6°F
Temperature dropped another 12°F by 11:00
Hence, Temperature at 11:00 will be :
6°F - 12°F = - 6°F
Temperature at 11:00 = - 6°F
