Step-by-step explanation:
a full circle has 360°.
so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.
labour = 360 - 136 - 34 - 54 - 14 = 122°
the fraction 122/360 represents the 183 votes for labour.
122/360 = 183
the fraction 1/1 = 1 then represents the total number of votes in the whole system.
61/180 = 183
1/180 = 3
1 = 3×180 = 540
540 pupils voted altogether.
We can know from the pic
2x+38=90
so, x=26
1-0.15=0.85
36.21/0.85=42.6=ANSWER
Answer:
It is proved that 
.
Step-by-step explanation:
We already have the identity of x as 
.......... (1) .
So, from equation (1) we can write that
⇒ 
⇒ 
⇒
Hence, it is proved that . (Answer)
Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
