Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ 
∴ 
∴ 
∴ 
∴ The point of science lab = (-14/3 , 1)
For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

Now that we have the value of x, plug it into either equation to solve for y:

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>
Answer:
B
Explanation:
Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.
The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
The volume of a crate is b x l x h. Reverse it to get 3 times 6 times h = 72. 3 times 6 is 18, so you know 18h=72. Divide both sides by 18 to get h = 4 ft.
Answer:
8.75
Step-by-step explanation: