Answer:
The answers to the questions are;
(a) P(At least 1 defective)
= 0.9883.
(b) P(At least 1 defective)
= 0.6409.
Step-by-step explanation:
There are 110 cards and 20 defectives.
a) The probability of at least one defective is given by
P(At least 1 defective) = 1 - P(0 defective)
P(0 defective) = 20C0 × (90C0)/(110C20) = 0.0116
1 - 0.0116 = 0.9883
b) For a set of 110 boards that has 5 defective and 105 non-defective
P(At least 1 defective) = 1 - P(0 defective)
P(0 defective) = (20C0)(90C5)/(110C5) = 0.35909
1-0.35909
= 0.6409
The distance from Dan's house to Samuel's house is 4 km
The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.
Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km
Pythagoras theorem shows the relationship between the lengths of a right angled triangle.
Using Pythagoras theorem:
5² = x² + 3²
25 = x² + 9
x² = 16
x = 4 km
Hence the distance from Dans house to Samuel's house is 4 km
Find out more at: brainly.com/question/21846482
Answer:
x = 6.0
Step-by-step explanation:
As the given triangle is a right-angled triangle, we can use the trigonometric ratios to find the required length.
In the given triangle
Hypotenuse = 10
Perpendicular = x
Angle = 37°
As we know the value for perpendicular and hypotenuse, sine will be used.
Rounding off to nearest tenth
x = 6.0
Hence,
x = 6.0
Answer: 1
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1
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2
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1
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2
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Step-by-step explanation:
