Answer:
The slope of the dashed line is 
Step-by-step explanation:
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
What is the slope of the dashed line
Perpendicular to a line with slope 4, so:
The slope of the dashed line is
We are given that this is an ideal gas, and that the volume and presumably the number of moles of gas are constant. We can use Gay-Lussac's Law, which describes volume and pressure. We have that pressure is directly proportional to volume. For a change in a gas, we can write the equation as
,
where i denotes initial and f denotes final.
We have that
,
, and
. We need to find
. To do so, let's first rearrange Gay-Lussac's equation to solve for
.
Now, we plug in our values to get
.
.
This seems like a reasonable value, because as temperature goes up, pressure goes up, and an increase in temperature corresponds to an increase in pressure.
Technically, you were given values with only one significant figure, so you can only report the value as
, but this depends on how your instructor usually does these problems!
Answer:
a simplified fraction
Step-by-step explanation:
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≥ 50000
For the alternative hypothesis,
µ < 50000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = lifetime of the tyres
µ = mean lifetime
σ = standard deviation
n = number of samples
From the information given,
µ = 50000 miles
x = 45800 miles
σ = 8000
n = 29
z = (50000 - 45800)/(8000/√29) = - 2.83
Looking at the normal distribution table, the probability corresponding to the z score is 0.9977
Since alpha, 0.05 < than the p value, 0.9977, then we would accept the null hypothesis. Therefore, At a 5% level of significance, the data is not highly consistent with the claim.
Answer:
2x+3y=5
Step-by-step explanation:
