Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches independently.<u>The probability of at least one pair of neighbors using the same settings is 0.65633</u>
Step-by-step explanation:
<u>Step 1</u>
In the question it is given that
Automatic garage door opener utilizes a transmitter control with four independent switches
<u>So .the number of Combinations possible with the Transmitters </u>=
2*2*2*2= 16
<u>
Step 2</u>
Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.
= 1- 16*15*14*13*12*11/(16^6)
<u>
Step 3</u>
Probability of at least one pair of neighbors using the same settings=
= 1- 0.343666
<u>
Step 4</u>
<u>So the probability of at least </u>one pair of neighbors using the same settings
is 0.65633
Answer:
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Step-by-step explanation:
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Answer:
Discount = Original Price x Discount %/100
Discount = 37.99 × 80/100
Discount = 37.99 x 0.8
You save = $30.39
Final Price = Original Price - Discount
Final Price = 37.99 - 30.392
Final Price = $7.60
Answer:
<h2>48</h2>
Step-by-step explanation:
so for every 3 Reid washes there are 4 Elsie washes
the ratio of washing is 3:4
lets add 3 and 4 up
3 + 4 = 7
now lets divide the total number of washes by the added ratio
84/ 7
=12
now we know that 1 part is 12
to find Elsie's part we need to x 12 by how many parts she has got
she washed 4 times
4 x 12
=48
B: 914-20(27.80)=X, multiply: 20(27.80)=556, 914-556=$358 :A.
C: 914-27.80=$886.20 :)
