Answer:
A. Valid
Step-by-step explanation:
The P-value is the probability of getting this result or sample statistic if the null hypothesis is true. That is why a low P-value (smaller than the significance level) is considered evidence to reject the null hypothesis, because the result has little probability of being due to chance.
The statement that the P-value is "the probability of getting results as extreme as or more extreme than the ones in this study if the drug is actually not effective" is valid, as the null hypothesis states generally the opposite of the objective of the study (demonstrate that the drug is effective), and the very low value of the P-value is indicative that this result, if the drug was not effective, has a very low probability.
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
That is an annuity and use the attached formula.
Total = 300 * [(1.055)^11 -1] / .055 -300
Total = 300 *
<span>
<span>
<span>
1.8020924036
</span>
</span>
</span>
-1 /.055 -300
Total = 300 *
<span>.8020924036 / .055 - 300
</span>Total = 300 *
<span>
<span>
<span>
14.5834982473
</span>
</span>
</span>
-300
Total =
<span>
<span>
<span>
4375.0494741818
</span>
</span>
</span>
-300
Total =
<span>4075.05
</span>
Answer: 2/21 hope this helps : )
Step-by-step explanation: ok the way you do this s 21/2 times five then simplify, 5 is the GCF of 105 and 10 and when you simplify you get 21/2 flip the denominator with the divisor and you get 2/21
-6 you subtract and keep the sign of the greater number