Answer:
The correct option is (A). The first equation is for sample data; the second equation is for a population.
Step-by-step explanation:
According to the scenario, the following would be represented as a sample and the population
Y with caret = b0 + b1x = sample
and
y = b0 + b1x = population
It is because if we considered the population than the expected value would be nearest and there is no need to determine the b0 and b1 value again. But in the case of the sample, the reestimation of the values would be determined again and again
Therefore the correct option is A.
Answer:
486²in
Step-by-step explanation:
9×9=81 (gives you one face of the cube)
81×6=486 (there are 6 faces on a cube)
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:
1st day = 3.2 miles
2nd day = 7.5 miles
3rd day = 9.8 miles
4th day = 11.5 miles
5th day = 2.9 miles
6th day = 3.5 miles
<span>Finally, she ran a total of:
3.2+7.5+9.8+11.5+2.9+3.5 =
38.4 miles
</span><span>
What was the average distance of each run?
This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.
</span>

<span>
Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?
Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:
</span>

∴

Isolating x:

∴

Therefore, she need to run:

in order to achieve the goal of 6 miles per day.
3/10 is 30%
30% + 17% = 47%
100% is our total animals
100% - 47% (Lions + Zebras) = 53% (Tigers)
So 53% are tigers.
We are given the two sides of the right triangle therefore we can use the pythagorean theorem to solve for the third side. This theorem states that, in a right triangle the square of the hypotenuse is equal to the sum of the square of each leg.
c² = a² + b²
70² = 35² + b²
b = √70² - 35²
b = 60.62 feet