Answer: 5.37
Step-by-step explanation:
Let x = ACT scores.
Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.
i.e. P(X>28)=0.09 (i)
Now,
(ii)
One -tailed z value for p-value of 0.09 =1.3408 [By z-table]
From (i) and (ii)

Hence, the standard deviation = 5.37
Answer:
9600
Step-by-step explanation:
y varies inversely with the square of x
y=k/(x^2)
for some non-zero constant k
y=6 when x=4
6=k/(4^2)
k=96
y=96/(x^2)
x=0.1
y=96/(0.1^2)
y=9600
Answer:
x = 19
Step-by-step explanation:
(5x+4)+(x-2)+(3x+7) = 180
5x+4+x-2+3x+7 = 180
9x+9 = 180
9x = 171
x = 171/9
x = 19
Answer:
3.1
Step-by-step explanation: