Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:
Alternative hypothesis:
The t-test statistics is determined by using the formula:
Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Answer:
x = 70°
Step-by-step explanation:
<em><u>I will assume solving the problem where 2 parallel lines are cut by a transversal that has an angle 110 and another angle x. Lets solve for x.</u></em>
When 2 parallel lines are cut by transversals, we have 4 pair of equal angles.
Now, looking at the figure,
The angle beside (adjacent) to the angle 110 is same as the angle x degrees.
These are corresponding angles, which are equal.
So, we have 110 degree angle and x degree angle adjacent to each other in a straight line. This is a straight angle.
A straight line (or, straight angle) creates 180 degrees. Thus, we can write:
110 + x = 180
Now, we solve for x:
So,
x = 70°
Answer:
1) B, 48
2) C. 180=2x2x3x15
Step-by-step explanation:
Answer: 30° and 330°
<u>Step-by-step explanation:</u>
sec θ = 
sec θ = 
=
cos θ = 
cos θ = 
cos θ = 
cos θ = 
Look at the Unit Circle to see that cos = at 30° and 330° ( which is equivalent to π/6 and 11π/6)
