Answer:
Option D - Will not be rejected at the 0.05 level.
Step-by-step explanation:
The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.
Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.
Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.
Thus, looking at the options, we will not reject at 0.05 significance level.
Answer:
Both the zoo-keepers are correct.
Step-by-step explanation:
The first zoo keeper uses the equation:
x - 41.5 = 13.5
⇒ x = 13.5 + 14. 5 = 55
Now, the second zoo- keeper uses the equation:
41.5 + 13.5 = x
⇒ x = 55
Both use x = 55.
Answer:
20°.
Step-by-step explanation:
According to both the diagram and the presented angle measure, m∠RPS + m∠QPR = m∠QPS.
(4x + 27) + (9x - 115) = 107
4x + 9x + 27 - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Now that we have the value of x, we can find the m∠QPR.
9x - 115
= 9 * 15 - 115
= 135 - 115
= 20
So, m∠QPR is 20°.
Hope this helps!
Answer:
A and C
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
So <7 and <9 are adjacent to <8.
[If there's any mistake, please inform me]
Answer: 
Since 8 is being multiplied to the 3 power we multiply it 3 times.
is written like
