Answer:
$29.41
Step-by-step explanation:
You know the discount price is 25 and the original is unknown so call it x. The sale is 15% off and that means that the jeans are 85% of what they used to be since 100-15 is 85. Then you plug it into a formula of 25/x = 85/100 then you cross multiply to get 2500=85x and when you solve for x and round you get $29.41
 
        
             
        
        
        
The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).
Sample size, n=400
Sample proportion, p = 40 / 400 
= 0.1
We use normal approximation, for this, we check that both np and n(1-p) >5. 
Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n ) 
= 0.015
For constructing Confidence interval,
Margin of Error (ME) =  z x SD = 0.0294
95% confidence interval is given by Sample Mean +/- (Margin of Error)
0.1 +/- 0.0294 = (0.0706 , 0.1294) 
Learn more about Margin of Error here brainly.com/question/15691460
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Answer:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal( )
)
The z score probability distribution for normal distribution is given by;
                                  Z =  ~ N(0,1)
  ~ N(0,1)
where,  = population mean weight = 27.5 grams
 = population mean weight = 27.5 grams
             = standard deviation = 1.1 grams
 = standard deviation = 1.1 grams 
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
           <u>Z score</u> =   =
 =  
 
                                     =  <u>1.7</u> 
                         
 
        
             
        
        
        
579/3 fist you divid 5 by 3 than you subtract them and get two than you bring down your seven and have 27 divided by 3 and that is 9. than you bring down your last number and than you come up with an answer of 193.
        
                    
             
        
        
        
K⁴n² 
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