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Anna11 [10]
3 years ago
11

A circuit contains two switches. The first switch transmits messages correctly 80 percent of the time, and the second switch tra

nsmits messages correctly 90 percent of the time. What percent of the time will the message be transmitted successfully through both switches?
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

Answer:

72%

Step-by-step explanation:

A circuit contains two switches.

The first switch transmits messages correctly 80% of the time, then the probability that the message will be transmitted successfully through the first switch is

p_1=0.8

The second switch transmits messages correctly 90% of the time, then the probability that the message will be transmitted successfully through the second switch is

p_2=0.9

The probability that the message will be transmitted successfully through both switches is

p=p_1\cdot p_2=0.8\cdot 0.9=0.72

that is exactly 72%

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Which of the following ordered pairs represents an output of 5 and an input of -8?
m_a_m_a [10]

Answer:

(-8,5)

Step-by-step explanation:

The output corresponds to the y-value of an ordered pair while the input corresponds to the x-value of an order pair.

An ordered pair is written like this (x,y)

6 0
3 years ago
A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
3 years ago
Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000
Natasha2012 [34]

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

6 0
2 years ago
Solve for y
Andreas93 [3]

Answer:

y = 3

Step-by-step explanation:

2y - 3 = \sqrt{3y^2-10y+12}

square both sides to remove sqrt bracket

(2y - 3)^2 = ( \sqrt{3y^2-10y+12} )^2

simplify both sides

(2y - 3)(2y - 3) = 3y^2 - 10y + 12

4y^2 - 12y + 9 = 3y^2 - 10y + 12

bring all value to left side

y^2 - 2y - 3 = 0

factor

(y - 3)(y + 1)

solve for y

y = 3, y = -1

When plugged back into the equation, only y = 3 is true

8 0
3 years ago
Read 2 more answers
Toma walked 2 3/10 miles on Monday. He walked 1 2/5 miles on Tuesday. How many miles did he walk?
marta [7]

Answer:

He walked 3 7/10 miles.

8 0
3 years ago
Read 2 more answers
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