Answer:
no, because two sides have to be equal
Step-by-step explanation:
Answer: n=-5
Step-by-step explanation:
Answer:
y = - 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y = 14 +
x into this form
Divide all terms by 2
y = 7 +
x ← in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3, hence
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = - 3x + 2 ← equation of perpendicular line
<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