Answer:

Step-by-step explanation:
To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

Convert to slope intercept form by using the distributive property.

What is the median of the following numbers? 10, 6, 4, 4, 6, 4, 110,6,4,4,6,4,1
tatiyna
Answer:
The median is 4
Step-by-step explanation:
1) You order the numbers in order from smallest to largest: 1, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 10, 110
2) Next, you just cross out each number from each side. For example, if you cross out 1 at the beginning, you cross out the 110 at the end and if you cross out the 4 (right after the 1) then you cross out 10 which is the next number in line to the end. You carry on like that until you're left with a lone value in the middle
3) That lone value is now your median.
However, if you end up with two values in the middle, you would add them both together and then divide by 2 to get your median.
Answer:
15 miles
Step-by-step explanation:
Let
be the miles in the circular park path,
the time Louisa takes to finish and
the time Calvin takes to finish both in hours.
Then
, the longitude is equal to the velocity times the time used to finish. So


And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :

In this last equation replace
with the other equation and solve:
With Louisa's time find x:
Answer:
By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of the sample:
14.8 credit hours per semester.
So
By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.