Answer:
15
Step-by-step explanation:
Applying,
The angle bisector theorem of triangle
From the diagram,
Since ΔAMT is an issoceless triangle,
Then,
Line OA divides Line MT into two equal parts.
Therefore,
Line MO = Line OT.............. Equation 1
From the diagram,
Line MO = 4x-1, Line OT = 3x+3
Substitute into equation 1
4x-1 = 3x+3
Collect like terms
4x-3x = 3+1
x = 4.
Therefore,
OT = 3(4)+3
OT = 12+3
OT = 15
Answer:
There is some inforrmation that is missing in this question. It should read:
A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is . If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is .
Answers
Part 1. 0.02
Part 2. 0.0375
Explanation
The probability is a chance of an event happening. It is calculated as;
probability = (Number of favourable outcome)/(Number of available outcome)
Part 1
6 are chosen at random. If 4 are not defective, then 2 are defective.
P(at least 4 are not defective) = 4/40 × 2/10
= 1/10 ×1/5
= 1/50
= 0.02
Part 2
8 are chosen at random. If 3 are defective, the 5 are not defective.
P(3 are defective) = 3/40 × 5/10
= 15/400
= 3/80
= 0.0375
Step-by-step explanation:
Answer:
1. TRUE
2. False
3. TRUE
4. False
5. TRUE
6. False
Step-by-step explanation:
1. 6859^(1/3) = 19 = ∛(19^3)
__
2. 2197^(1/3) = 13 ≠ 9·2
__
3. 8000^(1/3) = 20 = 10·2
__
4. 9261^(1/3) = 21 ≠ 13
__
5. 3375^(1/3) = 15 = 5·3
__
6. 5832^(1/3) = 18 ≠ 3·7
Answer:
168
Step-by-step explanation:
(-40+8)×(-6)-24
=(-32)×(-6)-24
=192-24
=168