Answer:
arc PST = 254°
Step-by-step explanation:
arc QPT = 180° because it is a diameter
arc PQ = 74°
arc PT = 180° - 74° = 106°
arc PST = 360° - 106° = 254°
 
        
             
        
        
        
5 486 814 rounded to the nearest  thousandth so here this is 6th digit:
because 7th digit is 4 we round down:
548.6814≈548,681
 
        
                    
             
        
        
        
Answer:
the pennies does not conform to the US mints specification
Step-by-step explanation:
z = (variate -mean)/ standard deviation
z= 2.5 - 2.4991 / 0.01648 = 0.0546
we are going to check the value of z in the normal distribution table, which is the table bounded by z.
checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)
we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim
since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification
the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected
 
        
             
        
        
        
Answer:
#1. 40
#2. y=221.5
#3 197 ft
#4. 30 min
Step-by-step explanation:
 
        
             
        
        
        
4-190
190 divided by 4 is 47.5, so Rodney travels 47.5 miles per day.
if Rodney travel 190 miles in 4 days, at 47.5 miles to 190 to find out how far he would travel in 5 days. 190+47.5= 237.5
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day #4-190 miles
day #5-237.5 miles
day #6-285 miles