Can someone please help me with this one
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Answer:
The total number of ways of assignment is 314,790,828,599,338,321,972,833,000.
Step-by-step explanation:
In mathematics, the procedure to select <em>k</em> items from <em>n</em> distinct items, without replacement, is known as combinations.
The formula to compute the combinations of <em>k</em> items from <em>n</em> is given by the formula:
In this case we need to determine the number of ways in which the drugs are assigned to each mouse.
It is provided that new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes.
Drug A is to be given to 22 mice.
Compute the number of ways to assign drug A to 22 mice as follows:
Now the remaining number if mice are: 60 - 22 = 38.
Compute the number of ways to assign drug B to 22 mice as follows:
Now the remaining number if mice are: 38 - 22 = 16.
Compute the number of ways to assign no drug to 16 mice as follows:
The total number of ways of assignment is:
Thus, the total number of ways of assignment is 314,790,828,599,338,321,972,833,000.
The surface area of the first figure is 160.
The net of the second figure is attached, and the surface area is 408.
To find the surface area of the first figure, we find the area of the base:
10*10 = 100
Now we find the area of each of the 4 lateral faces (triangles):
A=1/2bh = 1/2(3)(10) = 15
The total is 100+15(4) = 160
To find the surface area of the second figure, find the area of the bases (triangles):
A=1/2bh = 1/2(6)(8)= 24
The area of the bottom lateral face is 15*6 = 90.
The area of the slanted lateral face is 15*10 = 150.
The area of the vertical lateral face is 15*8 = 120.
Together we have 24(2) + 90 + 150 + 120 = 408.
The net of the second figure is attached, and the surface area is 408.
To find the surface area of the first figure, we find the area of the base:
10*10 = 100
Now we find the area of each of the 4 lateral faces (triangles):
A=1/2bh = 1/2(3)(10) = 15
The total is 100+15(4) = 160
To find the surface area of the second figure, find the area of the bases (triangles):
A=1/2bh = 1/2(6)(8)= 24
The area of the bottom lateral face is 15*6 = 90.
The area of the slanted lateral face is 15*10 = 150.
The area of the vertical lateral face is 15*8 = 120.
Together we have 24(2) + 90 + 150 + 120 = 408.
<u>If two lines are perpendicular to each other, their slopes</u>
<u>are negative inverses of each other.</u>
Thus,
. See how this works?
We took 4, then took its opposite, and flopped that over
Definition-:
Perpendicular lines are lines that intercept each other at a 90 deg. angle, which is usually called the right angle.