Answer:
see the attachment
Step-by-step explanation:
We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).
Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.
That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".
The simulation of 70 different choices of a random class is shown in the attachment.
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<em>Comment on the question</em>
IMO, the use of <em>70 trials</em> is coincidentally the same number as the first <em>70 days</em> of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.
<h3>
Answer:</h3>
square units (approximately 2338.26859)
<h3>
Step-by-step explanation:</h3>
The formula for finding the area of a regular hexagon when you know its side length is
, where
is the area and
is the side length.
- Substitute in the side length.

- Simplify the exponent.

- Multiply.

- Divide.

is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.
Answer:
g= - 32
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Add 5 to both sides.
Step 4: Multiply both sides by 4/(-1).
g=−32
Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below

Hence, in our case

Transform points N, M, and O accordingly,

<h2>Therefore, the answer is the first option (top to bottom)</h2>