The margin of error can be calculated with the formula:
ME = z · √(p(1-p)/n)
where:
p = sample proportion
n = sample size
z = z-score
In your case:
p = 90 / 120 = 0.75
ME = 2.58 · √(0.75·0.25/120)
= 0.10
= 10%
The margin of error will be 10%.
In addition, from the response shown, using a graphical calculator brings the following benefits:
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.
Answer: Sample Response :Use the linear combination method.
Multiply the first equation by –2 to create opposite terms for x.
Multiply the first equation by –4 to create opposite terms for y.
Add the system of equations to eliminate a variable.
Step-by-step explanation:
Given that the angle measure 20 and the side opposite to that angle measures 10 cm, suppose this is the height of the triangle, the hypotenuse
Such that
sin theta=opposite/hypotenuse
opposite=a=10 cm
sin 20=10/h
multiplying both sides by h we get
hsin20=10
hence;
h=10/sin20
h=29.24 cm
h=29.2 cm
Answer:
with 0.10 level of significance the P-VALUE that would be used in the hypothesis claim is 0.05%
Step-by-step explanation:
In hypothesis testing in statistics, we can say that the p-value is a probability of obtaining test results when we assume that the null hypothesis is correct.
The p-value is the probability that the null hypothesis is true.
A p-value less than or equals to 0.05 is statistically significant. It shows strong evidence against the null hypothesis, meaning there is less than a 5% probability the null is correct and clearly we can say that the results are random.
