Let p be the number of green picks added, so we have p green picks and 5+p picks altogether.
We didn’t add any orange picks so we still have 5 orange. Therefore 5/(5+p)=1/3.
Cross-multiplying: 15=5+p so p=10. In all we have 10+5=15 picks.
        
             
        
        
        
Answer:
10.20% probability that a randomly chosen book is more than 20.2 mm thick
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.
So for the book.

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)
This is 1 subtracted by the pvalue of Z when X = 20.2. So



 has a pvalue of 0.8980
 has a pvalue of 0.8980
1 - 0.8980 = 0.1020
10.20% probability that a randomly chosen book is more than 20.2 mm thick
 
        
             
        
        
        
Answer: 90°
Step-by-step explanation:
Angle b is vertical to the angle that has a measure of 90°
 
        
             
        
        
        
Mark can make 303,030 birthday cakes.
 
        
                    
             
        
        
        
Answer:
4.34
Step-by-step explanation:
2.48/40=0.062 per ounce
0.062 x 70 = 4.32 for 70 ounces