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Serhud [2]
4 years ago
12

A producer of electronic book readers is performing a quality check to ensure the reader's backlight is working correctly. The p

lant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction StartFraction 1 over x EndFraction is the experimental probability of a book reader having a defective backlight. What is the value of x?
Mathematics
1 answer:
Lana71 [14]4 years ago
8 0

Answer: 25

Step-by-step explanation:

From the question, we are told that a producer of electronic book readers is performing a quality check to make sure that the reader's backlight is working correctly. Then, the plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction 1/x is the experimental probability of a book reader having a defective backlight. What is the value of x?

Number of tested readers= 2000

Defective backlight = 8

Probability of having a defective backlight will be the number of defective backlight divided by the number of readers tested. This will be:

= 8/200

We reduce the nice fraction to its lowest term.

8/200 = 1/25

Therefore x will be 25

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An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the
sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

4 0
3 years ago
4-58. Lisa plans to retire on her 61st birthday. On her
mojhsa [17]

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0

⇒  A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0

⇒  A = 10000\times 16.4436\times \frac{0.3066}{23.1148}

⇒      = 10000\times 16.4436\times 0.0132

⇒      =2180.81 ($)

4 0
3 years ago
Please help me... :(
mr_godi [17]

Answer:

6

Step-by-step explanation:

Think of it as a ratio. The recipe calls for 2:3. If Jason used 4, then you need to match the other side.

4/2=2

So you need to multiply 3 by 2 to find the match.

3x2=6

The ratio is 4:6, so Jason uses 6 teaspoons of baking powder.

-hope it helps

4 0
3 years ago
Solve for P if E = 2.50 and r = 2.00 given that E = P4πr2
const2013 [10]

Answer:

P = 0.05

Step-by-step explanation:

E = P4πr²

2.50 = P4π(2)²

2.50 = P4π4

2.50 = P(50.265)

P = 0.05

5 0
4 years ago
Write an equation of a line that has slope -5 and y-intercept 2.​
Effectus [21]
Y=-5x+2
Y=mx+b
M=slope
B=y intercept
3 0
3 years ago
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