Answer:
Control Group.
Step-by-step explanation:
A control group, in research, is a group that is not experimented by the researchers in an experiment. A control group is the opposite of an experimental group, on which the independent variable is performed. In other words, an independent variable is held on 'control' in control group.
<u>In the given scenario, the experiment is being performed to test a new physical therapy. To do so, the researchers divided the group in three groups, in which, one group did not receive any treatment; the treatment is held on 'control' in this group.</u>
So, according to the definition provided, the group that did not receive the treatment will be called a control group, thus the correct answer.
Answer:
Step-by-step explanation:
First we need to factorize the given area of the rectangle as shown;
Given
A(x) = x^2-10x+16
Factorize
A(x) = x²-8x-2x+16
A(x) = (x²-8x)-(2x+16)
A(x) = x(x-8)-2(x-8)
A(x) = (x-2)(x-8)
Since area of a rectangle = length ×width
Hence the binomial that represents the width of the pool is w(x) = x-2
b) If the width of the deck is 17feet
Width = x-2
17 = x-2
x = 17+2
x = 19feet
Get the length
Length = x-8
Length = 19-8
Length = 11
Get the perimeter
P = 2(L+W)
P = 2(17+11)
P =2(28)
P = 56feet
Perimeter of the deck is 56feet
Answer:
Step-by-step explanation:
First, put -4x+y=7 into y=mx+b format
move -4x to the other side (or add 4x on both sides)
y=4x+7
now, parallel lines have the same slopes, but not the same y intercepts.
So, you already know the slope of your new line
y=4x+b
now we need to find b (y intercept)
take the point (4,-3) and put it into the equation above
-3=4(4)+b
-3=16+b
move 16 to the other side (or subtract 16)
-19=b
therefore the new line will be y=4x-19
Hope this helps!
<h3>
Answer: 1/8</h3>
In decimal form, 1/8 = 0.125 which converts to 12.5%
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Work Shown:
The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.
Here are all of the ways to add to 11 if we had 3 dice
- sum = 1+4+6 = 11
- sum = 1+5+5 = 11
- sum = 1+6+4 = 11
- sum = 2+3+6 = 11
- sum = 2+4+5 = 11
- sum = 2+5+4 = 11
- sum = 2+6+3 = 11
- sum = 3+2+6 = 11
- sum = 3+3+5 = 11
- sum = 3+4+4 = 11
- sum = 3+5+3 = 11
- sum = 3+6+2 = 11
- sum = 4+1+6 = 11
- sum = 4+2+5 = 11
- sum = 4+3+4 = 11
- sum = 4+4+3 = 11
- sum = 4+5+2 = 11
- sum = 4+6+1 = 11
- sum = 5+1+5 = 11
- sum = 5+2+4 = 11
- sum = 5+3+3 = 11
- sum = 5+4+2 = 11
- sum = 5+5+1 = 11
- sum = 6+1+4 = 11
- sum = 6+2+3 = 11
- sum = 6+3+2 = 11
- sum = 6+4+1 = 11
There are 27 ways to add to 11 using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.
So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.
The slope is given as m = 7m=7 and the yy-intercept as b = - \,4b=−4. Substituting into the slope-intercept formula y = mx + by=mx+b, we have
since m=7 and b=-4, we can substitute that into the slope-intercept form of a line to get y=mx+b → y=7x-4
The slope is positive thus the line is increasing or rising from left to right, but passing through the yy-axis at point \left( {0, - \,4} \right)(0,−4).
Step-by-step explanation:
