Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Answer:
Therefore the approximate area of this clock face is 415.3 feet².
Step-by-step explanation:
Given:
Clock is of Circular Shape,
Diameter = 23 feet

To Find :
Area of Clock Face = ?
Solution:
Area of Circle having Radius 'r' is given as,

Substituting the values we get

Therefore the approximate area of this clock face is 415.3 feet².
Answer:
1) a. Move farther into the tails
2) a. Decreases
Step-by-step explanation:
Hello!
1)
Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:
X[bar] ±
* 
Leaving all other terms constant, this are the Z-values for three different confidence levels:
90% 
95% 
99% 
Semiamplitude of the interval is
d=
* 
Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:
↑d= ↑
* 
They have a direct relationship.
So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.
2)
The significance level of a hypothesis test is the probability of committing a Type I error.
If you decrease the level from 5% to 1%, then logically, the probability decreases.
I hope this helps!
Y=Mx +b
B is 0 because that’s where the graph intercepts the y axis.
M is found by picking any two points and finding the rise and run because m is equal rise/run
Points of choice: (-2,4) and (2,-4)
=2−1/2−1 = -8/4
m is equal -2
Y= -2X
Look at the picture below to differentiate between positive and negative slopes.