Answer:
Step-by-step explanation:
Midpoint Theorem: The line joining the midpoints of two sides of the triangle is half of the length of the third side and parallel to it.
From the given figure we can see that BE is the line segment joining midpoints of two sides of the triangle. This means that
[ By midpoint theorem]
Substituting values of the lengths of BE and CD
Simplifying and solving for x.
Subtracting both sides by 2
∴
Answer:
And we can use the z scoe formula given by:
And if we find the z score for the limits we got:
And this probability is equivalent to:
Step-by-step explanation:
For this case we can define the random variable X as "number of miles between services" and we know the following info given:
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean is given by:
We select a random sample size of n =44. And we want to find this probability:
And we can use the z scoe formula given by:
And if we find the z score for the limits we got:
And this probability is equivalent to:
Answer:
a) Josef jogging from A to B;
i. speed = 2 m/s
ii. velocity = 2m/s
a) a) Josef jogging from A to C;
speed = 1.9 m/s
ii. velocity = 2.2 m/s
Step-by-step explanation:
One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.
a) Josef jogging from A to B;
distance = 300 m
time = 2.5 seconds = 150 seconds
i. his average speed =
=
= 2 m/s
ii. his average velocity =
=
= 2 m/s
b) Josef jogging from A to C,
distance = 300 + 100 = 400 m
time = 2.5 + 1 = 3.5 minutes
= 210 seconds
i. his average speed =
=
= 1.9 m/s
ii. his average velocity =
= 4 m/s
= 1.9 m/s
his average velocity =
= 2.2 m/s