A food distribution company has employees that order food supplies for local restaurants by predicting sales. The company pulls an SRS of 500 orders and finds that 408 orders were correct. Calculate and interpret a 95% confidence interval for the proportion of all orders that were correct

(0.782, 0.85)

Step-by-step explanation:

Here

The sample size =  500

Number of favourable cases = 408

Confidence interval = 95%

Proportion of sample = 408/500 = 0.816

Critical value for alpha = 0.05 is z (1-alpha/2) = 1.96

Confidence interval = p -zc * sqrt (p(1-p)/n), p + zc * sqrt (p(1-p)/n)

Substituting the given values we get –  

0.816-1.96 * sqrt (0.816(1-0.816)/500), 0.816+1.96 * sqrt (0.816(1-0.816)/500)

(0.782, 0.85)

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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