Your straight line is east-west
Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope


Answer:
Null Hypothesis, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
Alternate Hypothesis, H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
Step-by-step explanation:
The null hypothesis is basically the problem statement i.e
Pulse rates of men have a standard deviation equal to 10 beats per minute
Hence, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
The alternate hypothesis will contradict or negate the null hypothesis i.e
H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
<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
Answer:
13
Step-by-step explanation:
- f(x) = (x-13)(x+6)
- x^2 - 7x - 78
- x = 13, -6