Answer:
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Step-by-step explanation:
Mean of data = sum of values ÷ number of data
We have three values; 84, 87, and

Sum of values =

=

We want the value of

to give mean between 85 and 90 inclusive





Hence, the value of

is between 84 and 99 inclusive
Answer:
Blue line: y = -2
Red line: y = 2/3 x + 2
Perpendicular to red line: y = -3/2x + 2
Parallel to red line: y = 2/3 x + any real number
Answer:
"0.0125" is the right solution.
Step-by-step explanation:
The given values are:
Random sample,
n = 90
Claims,
p = 20%
or,
= 0.20
By using normal approximation, we get
⇒ 
On substituting the values, we get
⇒ 
⇒ 
Now,
The standard deviation will be:
⇒ 
On putting the above given values, we get
⇒ 
⇒ 
⇒ 
⇒ 
hence,
By using the continuity correction or the z-table, we get
⇒ 
⇒ 
⇒ 
From table,
⇒ 