Answer:
<u>There are:</u>
- 6 red balls - R
- 5 black balls - B
- Total number = 11 balls
<h3>A. Without replacement</h3>
i. <u>Two blacks </u>
ii. <u>The first is black</u>
or, alternatively
- P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11
iii. <u>Both are of same colour</u>
- P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11
<h3>B. With replacement</h3>
i. <u>Two blacks </u>
- P(BB) = 5/11*5/11 = 25/121
ii. <u>The first is black</u>
or alternatively
- P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11
iii. <u>Both are of same colour</u>
- P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121
Answer:
99% confidence interval is:
(0.00278 < P1 - P2< 0.15921)
Step-by-step explanation:
For calculating a confidence intervale for the difference between the proportions of workers in the two cities, we calculate the following:
Where 
: proportion sample of individuals who worked
at more than one job in the city one
: Number of respondents in the city one
: proportion sample of individuals who worked
at more than one job in the city two
: Number of respondents in the city two
Then
α = 0.01 and α/2 = 0.005
and 
and 
The confidence interval is:
(0.00278 < P1 - P2< 0.15921)
Answer:
Step-by-step explanation:
Converse of alternate interior angles theorem:
This theorem states that if two lines are intersected by a transversal and the alternate interior angles are congruent, lines will be parallel.
Therefore, p║n.
Perpendicular transversal theorem:
By this theorem,
In a plane, if a line is perpendicular to one of two parallel lines, then it will be perpendicular to the other line.
Therefore, l ⊥ p.
Options selected in the blank spaces are correct.
Answer:
the asnwer is ) 9
Step-by-step explanation:
1 Simplifica |-1|∣−1∣ a 11.
{(1\times |-3|)}^{2}(1×∣−3∣)
2
2 Simplifica |-3|∣−3∣ a 33.
{(1\times 3)}^{2}(1×3)
2
3 Simplifica 1\times 31×3 a 33.
{3}^{2}3
2
4 Simplifica.
9
