Answer:
Step-by-step explanation:
The mean SAT score is 
, we are going to call it \mu since it's the "true" mean
The standard deviation (we are going to call it 
) is
Next they draw a random sample of n=70 students, and they got a mean score (denoted by 
) of 
The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.
- So the Null Hypothesis 
- The alternative would be then the opposite 
The test statistic for this type of test takes the form
and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.
With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.
<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>
The set X = { x , {x} } would, I think, fit the Bill
So its 2 elements
Octagon has 8 sides so the sum of the angles of the octagon is 180(8-2)=180 (6)=1080 degrees
Answer: 7/12
Step-by-step explanation:
number of times it landed on A = 6
number of times it landed on B = 21
number of times it landed on C = 9
Total number = 36
The empirical probability that the spinner will land on B is given by
P(B) = number of times it landed on B / Total number , that is
p(B) = 21/36
P(B) =7/12
Note: Empirical means verifiable by observation or experience rather than theory and it was verified that it landed on B 21 times.
Step-by-step explanation:
By using Implicit Differentiation,
d/dx (y² + xy - x²) = d/dx (11x)
d/dx (y²) + d/dx (xy) - d/dx (x²) = 11
2y * dy/dx + x * dy/dx + y - 2x = 11
dy/dx (2y + x) = 11 + 2x - y
dy/dx = (11 + 2x - y) / (2y + x).
At the point (2, 3), we have x = 2, y = 3.
=> dy/dx = (11 + 2(2) - (3)) / (2(3) + (2))
= 12 / 8 = 1.5.
P.S. Your question is weird because (2,3) is not on the graph, let me know what is the correct question thanks!
