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artcher [175]
3 years ago
9

Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A1 be the ev

ent that the receiver functions properly throughout the warranty period, A2 be the event that the speakers function properly throughout the warranty period, and A3 be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A1)= .95, P(A2) = .98, and P(A3) = .80.a. What is the probability that all three components function properly throughout the warranty period?b. What is the probability that at least one component needs service during the warranty period?c. What is the probability that all three components need service during the warranty period?
Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

that is alot the prob. is 20

Step-by-step explanation:

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Can you help me solve this?​
Natalka [10]

Answer:

first one is rational, second is also rational, third is rational, fourth is rational, and fifth is irrational.

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. The reason why \sqrt{12} is an irrational number is bc it's not a perfect square while\sqrt{49} equals to 7 and is a perfect square.

6 0
3 years ago
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Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y-mx+b, what
Bingel [31]
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{3 - (-5)}{-6 - (-4)} = \frac{3 + 5}{-6 + 4} = \frac{8}{-2} = -4

   y - y₁ = m(x - x₁)
y - (-5) = -4(x - (-4))
   y + 5 = -4(x + 4)
   y + 5 = -4(x) - 4(4)
   y + 5 = -4x - 16
       - 5           - 5
         y = -4x - 21
8 0
3 years ago
Read 2 more answers
The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a fin
nikdorinn [45]

Answer:

Part a

The regression equation is, \hat y = 29.3877 - 0.9596x

Part b

The number of crimes for a city at 20 police officers was appointed is approximately 10.

Step-by-step explanation:

<u>x          y         xy         x²         y²</u>

15      17        255      225         289

17      7            119      289          49

17      13         221       289        169

12      21          252      144          441

25      5         125       625          25

11       19          209        121           361

27     7           189        729           49

22    6         132       484          36

146    95      502      2906      1419

Therefore,

\hat B_1=\frac{n \sum xy - (\sum x) (\sum y)}{n (\sum x^2) - (\sum x)^2}

= \frac{8(1502) - (146)(95)}{8(2906)-(146)^2} \\\\= \frac{-1854}{1932} \\\\= - 0.9596

The calculation of the intercept coefficient is as follows:

\hat B_0= \frac{\sum y }{n} - \hat B_1 (\frac{\sum x}{n} )

= \frac{95}{8} - (-0.9596)(\frac{146}{8} )\\\\= 11.875 + 17.5127\\\\= 29.3877

The regression equation is, \hat y = 29.3877 - 0.9596x

b)

The calculation is as follows:

\hat y= 29.3877 - 0.9596x\\\\= 29.3877-0.9596(20)\\\\=29.3877-19.1920\\\\=10.1957

≅ 10

The number of crimes for a city at 20 police officers was appointed is approximately 10.

The number of crimes for a city at 20 police officers was appointed is approximately 10.

That is, the number of polices increases then the number of crimes will be decreases.

8 0
4 years ago
Pls answer this question I give brainliest thank you! Number 2
zzz [600]

Answer:

Step-by-step explanation:

8 0
3 years ago
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frosja888 [35]
Your answer is 5z+1 (wink) ;D
3 0
3 years ago
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