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: dydx=2sec2(x)tan(x)
Step-by-step explanation:
Answer:
The probability of the spinner landing on 2 is one fourth.
Step-by-step explanation:
The spinner is split into 4 equal parts labeled 1, 2, 3, 4
The probability of the spinner landing on 2 is given as:
(Possibility of it landing on 2) ÷ (Total possible outcome)
The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.
It can only land on 2 once, so the possibility of it landing on 2 is 1.
Probability = 1/4
Answer:
x = 0, y = 7
Step-by-step explanation:
Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.
3x - 10y=-70
-<u> 4x +9y = 63</u>
-x + y = 7
Now, for substitution, the equation must be set to a variable.
-x + y = 7
y = x + 7
Next, plug the equation in where applicable in another equation.
4x +9(x + 7) = 63
4x + 9x + 63 = 63
13x = 0
x = 0
The final step of substitution is to plug the known variable into an equation to find the other variable.
3(0) - 10y=-70
0 - 10y = -70
10y = 70
y = 7
I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.
Given:
The system of equation is
To find:
The solution of given system of equations.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Write the given equation in slope intercept form.
The first equation is
...(i)
Here, slope is 
and y-intercept is 4.
The second equation is
...(i)
Here, slope is and y-intercept is -4.
Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.
Parallel lines never intersect each other. So, the given system of equation has no solution.
Hence, the correct option is B.
