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Lera25 [3.4K]
3 years ago
14

Can someone complete the square??

Mathematics
1 answer:
ira [324]3 years ago
5 0

THE ANSWER IS..... X1= -6 & X2=0

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Suppose that the lifetime of tv tubes are normally distributed with a standard deviation of 1.1 years. Suppose that exactly 20%
IrinaK [193]

Answer:

4.924 years

Step-by-step explanation:

Lets denote X the lifetime of a tv tube (In years). X has distribution N(\mu, 1.1) , with \mu unknown.

We know that P(X < 4) = 0.2. Using this data, we can find the value of \mu throught standarization.

Lets call Z = \frac{X - \mu}{1.1} the standarization of X. Z has distribution N(0,1), and its cummulative function, \phi is tabulated. The values of \phi can be found in the attached file.

P(X < 4) = P(\frac{X - \mu}{1.1} < \frac{4 - \mu}{1.1}) = P(Z < \frac{4 - \mu}{1.1}) = \phi(\frac{4 - \mu}{1.1}) = 0.2

The value q such that \phi (q) = 0.2 doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that \phi(-q) = 0.8 , hence -q must be equal to 0.84. Thus, q = -0.84

But this value of q should match with the number \frac{4 - \mu}{1.1} , so we have

\frac{4- \mu}{1.1} = -0.84

4 - \mu = 1.1 * (-0.84) = -0.924

\mu = 4 - (-0.924) = 4.924

Thus, the expected lifetime of TV tubes is 4.924 years.

I hope this works for you!

Download pdf
7 0
4 years ago
200 elementary school students were surveyed to find their blood groups. Of those, 55 were of blood group A, 85 of blood group B
MA_775_DIABLO [31]
The answer would be c for sure
7 0
3 years ago
Read 2 more answers
Why are postulates or theorems important in Geometry?​
aivan3 [116]
In order to study geometry logically, it will be important to understand key mathematical properties and to know how to apply useful postulates and theorems. a postulate is a proposition that has not been proven true but is considered to be true on the basis for mathematical reasoning.
5 0
3 years ago
Your cousin’s birthday is this weekend. You want to buy a CD that costs $12.99 and a birthday card that costs $2.50. You have sa
igor_vitrenko [27]
12.99+2.50=15.49
20.00-15.49= 14.51
X=CD
Y=Birthday card
Z=total
L=money left
X+Y=Z
20-z=L
(I hope this helps at least a little?)
3 0
3 years ago
Read 2 more answers
steven can type 160 words in 2 minutes and 30 seconds at this rate, how many words can he type in 4 minutes?
Gnom [1K]

Answer:

hello : 256 words

Step-by-step explanation:

2 minutes and 30 = (2×60)+30=150seconds

4 minutes = 4 ×60 = 240 seconds

 150seconds  →160 words

240 seconds → x ?

x = (160×240) / 150 = 38400/150= 256 words

6 0
3 years ago
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