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Ksju [112]
3 years ago
10

In a test of a printed circuit board using a random test pattern, an array of 14 bits is equally likely to be 0 or 1. Assume the

bits are independent. (a) What is the probability that all bits are 1s? Round your answer to six decimal places (e.g. 98.765432).
Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

Answer:

The probability that all 14 bits are 1s = 0.000061

Step-by-step explanation:

Probability that a bit is 1 is p = 0.5

Probability that a bit isn't 1 is q = 1 - 0.5 = 0.5

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 14

x = Number of successes required = 14

p = probability of success = 0.5

q = probability of failure = 0.5

P(X = 14) = ¹⁴C₁₄ (0.5)¹⁴ (0.5)¹⁴⁻¹⁴

P(X = 14) = ¹⁴C₁₄ (0.5)¹⁴ (0.5)⁰

P(X = 14) = 1 (0.000061)(1) = 0.000061

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Andre45 [30]

Answer:

Step-by-step explanation:

Total distance = 3 + 2.5 = 5.5mi/h

Total time = 0.75h + 2hr = 2. 75 hr

Average speed = 5.5 / 2.75 = 2

3 0
2 years ago
This shape is made using three semicircles The smaller semicircle have diameters of 10cm Calculate the shaded area Take 3.142 an
AleksandrR [38]

Answer:

The shaded area is 314.2 cm²

Step-by-step explanation:

Here we note that the shape consists of two small circles and one larger circle

The diameter of the larger semicircle is subtended by the two smaller semicircles, the small semicircle closer to the left of the internal circumference of the larger semicircle is shaded one while the one on the right is without color,

Therefore,

Diameter of larger semicircle = 2 × 10 = 20 cm

Based on the diagram, the shaded area is observed to be;

Shaded area = Area of semicircle formed by larger diameter or 20 cm + Area area formed by the small semicircle close to the right of the internal circumference of the larger semicircle - Area area formed by the other smaller semicircle

Since the diameter and therefore the areas of the two small semicircles are equal, we have;

Shaded area = Area formed by the complete larger semicircle = Area of semicircle formed by larger diameter or 20 cm

∴ Shaded area = π·D²/4 = π×20²/4 = 100×3.142 cm² = 314.2 cm².

6 0
2 years ago
Answer these questions <br> GEOMETRY
pickupchik [31]

7. 3/5 = 4.5/x

3x= 5(4.5)

x = 15/2

8. 6/4 = 9/x

6x= 45

x= 15/2

8. since triangle ABC and ADE are identical,

angle E is also 30 degrees

so angle D = 180-(30+70)=80 degrees

9. 9/3 = x/5

3x = 45

x = 45/3 = 15

8 0
3 years ago
The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you
Tju [1.3M]

Answer:

i- umm- its, well i got two answers n this question as well, but umm, i think its

1 5/12 maybe

Step-by-step explanation:

5 0
3 years ago
Suppose f(x)=x^2 what is the graph of g(x)= f(5x)
Novosadov [1.4K]

Answer:

Step-by-step explanation:

That '5' in f(5x) will compress the graph of x^2 horizontally.

If you were to graph f(x) = x^2, you'd get a parabolic graph; the parabola will open UP.

Suppose you graphed f(x) = x^2 on the interval [-4, 4].

Then the graph of g(x) = f(5x) would be graphed on the interval [-4/5, 4/5].  In other words, the graph would be on a shorter interval, one shorter by a factor of 5.

6 0
3 years ago
Read 2 more answers
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