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.
_____
<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.
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
The distance between point A and point B is 10 units.
Taking square on both sides, we get
Taking square root on both sides, we get
and 
and 
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
<h2>
Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>
Elias will fold 210 packing boxes in "70 mìnutes".</h2>
Step-by-step explanation:
Given,
Dionne can fold 175 packing boxes = 50 mìnute and
Elias can fold 120 packing boxes = 40 minutes
To find, the total time each person to fold 210 packing boxes = ?
∵ Dionne can fold 175 packing boxes = 50 mìnute
∴ In 1 mìnute, Dionne can fold number of packing boxes = 
= 3.5
∴ Dionne can fold 210 packing boxes = 
minutes
= 60 minutes
Also,
Elias can fold 120 packing boxes = 40 minutes
∴ In 1 mìnute, Elias can fold number of packing boxes = 
= 3
∴ Elias can fold 210 packing boxes = 
minutes
= 70 minutes
Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and
Elias will fold 210 packing boxes in "70 mìnutes".
All three angles on a triangle always equal 180°.
Example: 100°+40°+40°=180°
102+39=141°
180-141=39°
x = 39°
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
