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Mariana [72]
3 years ago
5

If I get 27 questions correct and the percent is 90 how many questions are there?

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0
27 is 90% of 30. Hope that helps.
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A music industry researcher wants to estimate, with a 90% confidence level, the proportion of young urban people (ages 21 to 35
Maslowich

Answer:

1,539

Step-by-step explanation:

Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to

\large \frac{Z^2pq}{e^2}

where

<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9) </em>

<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35 </em>

<em>q = 1-p = 0.65 </em>

<em>e = the error proportion = 2% = 0.02 </em>

Making the calculations

\large \frac{Z^2pq}{e^2}=\frac{(1.645)^2*0.35*0.65}{(0.02)^2}=1,539.09

So, the sample size should be 1,539 young urban people (ages 21 to 35 years)

6 0
3 years ago
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
kirza4 [7]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

7 0
3 years ago
Rewrite 0.169 in expanded form using powers of ten. A) (1×103) + (6×102) + (9×101) B) (1×101) + (6×102) + (9×103) C) (1×10-1) +
lubasha [3.4K]
That would be C....(1 x 10^-1) + (6 x 10^-2) + (9 x 10^-3)
5 0
3 years ago
What is the slope and y-intercept of the following equation:<br> = 13 − 4 (show your work pls)
Colt1911 [192]

Answer:

Slope is 1/3

Y intercept is -4

5 0
3 years ago
Mrs. Appleton baked 24
NISA [10]

Answer:

each child got 4 cookies with 4 left over

PLS MRK BRAINLIEST!!

Step-by-step explanation:

8 0
3 years ago
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