It is 6, because 84:6=14 and 36:6=6
Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.
<h3>How to calculate the average speed?</h3>
This is calculated by taking the total distance and dividing it into the total time.
<h3>What was Amy's average speed?</h3>
First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours
- Time: distance/speed
- Time: 165 miles/ 60 mph= 2.75 hours
Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)
- Total distance: 300 miles
- Total time: 2.75 hours + 3.084 = 5.834
Average speed: 300 miles / 5.834 = 51.422 miles per hour
Learn more about average speed in: brainly.com/question/12322912
Answer:
Step-by-step explanation:
Information given
represent the sample mean for the content of active ingredient
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be:
(1)
Now we can calculate the statistic:
P value
The degrees of freedom are calculated like this:
Since is a one left tailed test the p value would be:
Answer:
Completing the square
Step-by-step explanation:
The next step would be to factor into a perfect square
Answer:
The two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
Step-by-step explanation:
Rigid Transformation is a transformation which PRESERVES (keeps it SAME) the LENGTH and the ANGLES in an image and pre- image.
Here, as we can ΔABC goes under Rigid Transformation in to the ΔA'B'C'
⇒Sides AB, BC and AC correspond to the sides A'B',B'C' and A'C' respectively.
Also the ∠A, ∠B and∠C correspond to ∠A', ∠B' and∠C' respectively.
Now, in ΔABC and ΔA'B'C
AB = A'B'
BC = B' C'
AC = A'C'
⇒The two given triangles are congruent by SIDE SIDE SIDE property.
Also, ∠A = ∠A'
∠B = ∠B'
⇒The two given triangles are congruent by ANGLE ANGLE property.
Hence the two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
