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Tamiku [17]
3 years ago
9

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with five independent​ switc

hes, each one on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If one of​ Kevin's neighbors also has this same brand of​ opener, and both of them set the switches​ randomly, what is the probability that they will use the same​ setting?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0

Answer:

0.03125

Step-by-step explanation:

Number of Combinations possible with the Transmitters = 2*2*2*2*2 = 32

Probability that they will use the same settings = 1 - Probability of them using different settings.

= 1 - 32*31/(32^2)

=1 - 992/1024

= 1 - 0.96875

= 0.03125

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devlian [24]

Answer:

48 packages

Step-by-step explanation:

recipicate 1/4 which is 4 the multiply by 12

Hope this helps!!!

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Brainliest will be added
Alex17521 [72]

Answer:

5, -\frac{1}{10}, -5\frac{4}{8}

Step-by-step explanation:

If you convert each of these to a decimal, you will get:

-\frac{1}{10} = -0.1

-5\frac{4}{8} = -5.5

and then 5.

So, 5 is the greatest number, followed by -0.1, and -5.5 is the least.

7 0
3 years ago
A family buys 3 dinners at $9 each, 2 kids meals at $4 each, and 4 desserts at $3 each. After using a $10 off coupon, how much d
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9 \times 3 = 27
2 \times 4 = 8
4 \times 3 = 12
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37

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3 years ago
Solve each calculation. Be sure to report your answer with the correct number of significant figures.
Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg  × 1.1010 dg  

12.0 m  ÷ 3.1415 m

Answer:

1. 5.61000dg  * 1.1010dg = 6.177 dg^2

2. \frac{12}{3.1415} = 3.8198

Step-by-step explanation:

1. 5.61000 dg  × 1.1010 dg  

We start by representing each digit using scientific notation

5.61000 = 561000 * 10^{-5}

1.1010 = 11010 * 10^{-4}

Then, Multiply both numbers

561000 * 10^{-5} * 11010 * 10^{-4}

First, rearrange

561000  * 11010 * 10^{-5} *  10^{-4}

6176610000 * 10^{-5} *  10^{-4}

From law of indices, 10^{-5} *  10^{-4} = 10^{-9};

So, we have

6176610000 * 10^{-9}

6.176610000

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives 6.177

Hence, 5.61000dg  * 1.1010dg = 6.177 dg^2

2.

12.0 m  ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = \frac{12}{3.1415}

We start by representing 3.1415 using scientific notation

3.1415 = 31415 * 10^{-4}

By substitution;

\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}

Take 10^{-4} to the numerator

\frac{12}{3.1415} = \frac{12 * 10^4}{31415}

From law of indices, 10^{4} = 10000

\frac{12}{3.1415} = \frac{12 * 10000}{31415}

Multiply

\frac{12}{3.1415} = \frac{120000}{31415}

Divide

\frac{12}{3.1415} = 3.81983129078

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

\frac{12}{3.1415} = 3.8198

5 0
4 years ago
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Find the sixth term of the geometric sequence whose common ratio is 1/3 in whose first term is eight
vredina [299]

Answer:

8/243

Step-by-step explanation:

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