Answer:
See Below
Step-by-step explanation:
<u>Statements:</u> <u>Reasons:</u>
<u />
Given
Definition of Equilateral
Given
Definition of Midpoint
Segment Addition
Substitution
Definition of Midpoint
Segment Addition
Substitution
Substitution
Division Property of Equality
Transitive Property
Definition of Midpoint
Segment Addition
Substitution
Substitution
Substitution
Transitive Property
Definition of Equilateral
SAS Congruence
CPCTC
Equilateral Triangle Theorem
Answer:
5, 0
Step-by-step explanation:
1. 7x + 9 = 48
7x = 58 - 9
7x = 49
X = 7
Answer:
5 seconds
Step-by-step explanation:
All you have to do is make a ratio.
10 yards = 5/3 seconds
10 * 3 = 30 yards
5/3 * 3 = 15/3 = 5 seconds
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the average life of light bulbs.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Using z-value table , Critical one-tailed test value for 0.06 significance level :

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life