<span>The correct answer is option C. i.e. Statements 1 and 2 are postulates because they are true facts.A line must contain atleast two point because then only line can be formed. Similarly, a plane is formed when there are atleast three non-collinear points.</span>
Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
Answer:
4
Step-by-step explanation:
Multiply base times height for the area
Divide the area by 50
You cant have 3.888 bags so round up to get 4.
Answer:
- -6x² - 6 = -7x - 9
- -6x² + 7x - 6 + 9 = 0
- -6x² + 7x + 3 = 0
- 6x² - 7x - 3 = 0
<u>Discriminant:</u>
- D = (-7)² - 4*6*(-3) = 49 + 72 = 121
<u>Since D > 0, there are 2 real solutions:</u>
- x = (- (-7) ±√121 )/12
- x = (7 ± 11)/12
- x = 1.5, x = -1/3
Answer:
1) p1=0.83
2) p2=0.81
3) Option B
4) p=0.82
5) s=0.03
6) z=0.67
7) P=0.50
8) Do not reject H0
Step-by-step explanation:
1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:
2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:
3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:
4) The pooled estimate of a proportion is the average of both proportions:
5) The standard error can be calculated as:
6) The z-statistic can be calculated as:
7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).
8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.
There is not enough evidence to say that both proportions are different.
A. Do not reject H0