when Best Buy sells a Samsung 32" flat screen television for $219.99, does the 32" represent the length, width, or diagonal of t
1 answer:
Answer:
Diagonal
Step-by-step explanation:
The measure of a television is always indicated by providing the length of the diagonal, in inches.
In fact, the actual length and height of a 32" tv are:
- Length:
L = 27.9 inches
- Height:
h = 15.7 inches
For an object with a rectangular shape, such as the TV, the diagonal of the object can be found by using Pythagorean's theorem:
where
L is the length of the rectangle
h is the height of the rectangle
Substituting the values above, we find:
Which corresponds to the diagonal of the TV.
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Answer:
Step-by-step explanation:
1) ABCD is a trapezium. AB ║ CD
∠ADC + ∠DAB = 180° { Co interior angles}
110° + ∠DAB = 180
∠DAB = 180 -110
∠DAB = 70°
2) Sum of all angles of trapezium = 360°
∠A + ∠B + ∠DCB + ∠D = 360
70° + 50° + ∠DCB + 110° = 360
230 + ∠DCB = 360
∠DCB = 360 - 230
∠DCB = 130°
3) For finding the height, use Pythagorean theorem
height² + base² = hypotenuse²
height² + 6² = 10²
height² + 36 =100
height² = 100 - 36
height² = 64
height = √64
height = 8 m
4) a = AB = x m
b = 9 m
h = height = 8 m
Area of trapezium = 120 m²
= 120
x + 9 = 120/4
x + 9 = 30
x = 30 - 9
x = 21 m
AB = 21m
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given by
where
Here we're given
p=0.10 [ success = defective ]
n=3
(a) x=0
(b) x=2
(c) x ≥ 2
Here we're given
p=0.10 [ success = defective ]
n=3
(a) x=0
(b) x=2
(c) x ≥ 2