Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let
be the average life expectancy of its batteries.
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.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Critical one-tailed test value for 0.10 significance level :

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]
Some metals melt at lower temps than others. Tin becomes liquid at 231.8˚C (447.8˚F); at the other end of the spectrum, tungsten has the highest melting point of any metal: 3,422˚C (6,192˚F). Somewhere in the middle is mercury, which stays in a liquid state until its temperature drops to -40.
Every day she spends 35 euros
she had 315+35=350 euros
Answer:
y=2x+7
Step-by-step explanation:
A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).
Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:
y=2x+b
The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.
y=2x+b
5=2(-1)+b
5=-2+b
Add 2 to both sides to isolate b
5+2=-2+b+2
7=b
Now that we know b, we plug that into our original equation and now we have a final equation of:
y=2x+7
I hope this helps!
I think compatible numbers