Answer:
Standard error = 0.34
t-statistic = 11.18
Step-by-step explanation:
Given Data:
Mean difference d = 3.8
Standard deviation S.D = 1.36
Number of people = 16
The appropriate test are:
1. Standard error
2. T- statistic
1. Calculating the standard error using the formula;
Standard error = S.D/√n
= 1.36/√16
= 1.36/4
= 0.34
2. Calculating the t-statistic using the formula;
t-statistic = d/(S.D/√n)
= 3.8/(1.36/√16)
= 3.8/(1.36/4)
= 3.8/0.34
= 11.18
Answer:
x < 1
Step-by-step explanation:
x - 4 < - 3
<u> + 4 +4</u> Do inverse operations by adding 4 on both sides
x < 1
Therefore, the answer is x < 1.
(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)
<------------------------------o------------------>
-4 -3 -2 -1 0 1 2 3 4
The circle is open because based on the concept that in inequalities, <em>less/greater than and/or equal to (such as these ≥ ≤ )</em> signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).
Answer:
16,384 or 2^14
Step-by-step explanation:
4^12= 4*4*4*4*4*4*4*4*4*4*4*4=16,777,216
4^5= 4*4*4*4*4=1024
16,777,216/1024=16,384
16,384=2^14
Answer:
64 cm²
Step-by-step explanation:
Firstly,let us lay down the clues;
So, we have been given the Length and Width of the rectangle.
Rectangle;
<em>Length</em><em>=</em><em> </em><em>10</em><em> </em><em>cm</em>
<em>Width</em><em>=</em><em>6</em><em> </em><em>cm</em>
We know that
Perimeter= 2L + 2W
Perimeter= 10+10+6+6
Perimeter =32 cm
In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.
So,
Perimeter of square =32 cm
Length of one side of the square =32÷4
=8 cm
Area= L × W
Area= 8 cm× 8 cm
Area= 64 cm²
Hope it helps.
