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Slav-nsk
1 month ago
12

A wireless garage door opener has a code determined by the up or down setting of 17 switches. How many outcomes are in the sampl

e space of possible codes?
Mathematics
1 answer:
babunello [11.8K]1 month ago
4 0

Answer:

The sample space includes 131072 possible codes.

Step-by-step explanation:

Number of switches: 17

Switch position: 2 (either up or down)

The possible outcomes in the sample space can be determined by:

S=2^{17}=131072

The sample space includes 131072 possible codes.

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At a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately no
Leona [12618]

Answer:

The correct answer is;

A. 0.17

Step-by-step explanation:

Here are the provided details;

The average time taken for a cashier to handle an order, μ = 276 seconds

The deviation from the average, σ = 38 seconds

The z-score for an order processing time of x = 240 seconds can be calculated as follows;

Z=\dfrac{x-\mu }{\sigma }

Thus;

Z=\dfrac{240-276 }{38 } \approx  -0.9474

The resulting probability

P(z = -0.9474) = 0.17361

Hence, the estimated proportion of orders processed in under 240 seconds is roughly 0.17361 or 0.17 when rounded to two decimal places.

8 0
2 months ago
A triangle drawn on a map has sides that measure 15 cm, 8 cm, and 10 cm. The shortest of the corresponding real-life distances i
Inessa [12570]

Establish a proportion.

8/127=15/x

Cross multiply

8x=1,905

Divide each side by 8

x=238.125

The greatest of the actual distances is 238.125 km.

Hope this clarification helps:)

5 0
1 month ago
Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t
AnnZ [12381]

Answer:   a) \bold{\dfrac{3}{16}}     b) \bold{\dfrac{1}{36}}

Step-by-step explanation:

a) To achieve an even total, there are 3 possible combinations:

1) Even, Even, Even, Even     \dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}

2) Even, Even, Odd, Odd   \dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}

3) Odd, Odd, Odd, Odd   \dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}

Order is irrelevant

Summing these yields your final result: \dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}

b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.

\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}

3 0
1 month ago
A 176 inch pole is leaning up against a wall, but is sliding down the wall so that the vertical distance between the top of the
zzz [12365]

Answer:

... A 176-inch pole is resting against a wall and slipping down. The vertical distance between the top of the pole and the floor is decreasing at a rate of 4 inches per second. How quickly is the horizontal distance between the bottom of the pole and... A 176 inch pole is leaning on a wall and is sliding down such that the...

Step-by-step explanation:

3 0
20 days ago
At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st
babunello [11817]
The results are as follows: C. Left-handed: 48, Right-handed: 504. D. Left-handed: 30, Right-handed: 315. Explanation: With 58 left-handed and 609 right-handed students at East Middle School, the proportion of students on both hands at West Junior High must match. We can identify viable ratios based on this information. The ratio of right-handed to left-handed students at East Middle School is derived, then examined against the options provided.
7 0
15 days ago
Read 2 more answers
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