we are given
172(60÷m)=80
we will isolate m on any one side
step-1: Multiply both sides by m
step-2: Divide both sides by 80
..............Answer
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The population standard deviation is
The sample size is n = 20
The sample mean is
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
Answer:
Option B.
Step-by-step explanation:
Let
y -----> the opposite side to angle of 60 degrees (or adjacent side to angle of 30 degrees)
x ----> the adjacent side to angle of 60 degrees (or opposite side to angle of 30 degrees)
we know that
The tangent of angle of 60 degrees is equal to divide the opposite side to angle of 60 degrees by the adjacent side to angle of 60 degrees
so
<em>Find the value of y</em>
Remember that
----> adjacent side to angle of 30 degrees by the hypotenuse
so
<em>Find the value of x</em>
Remember that
----> opposite side to angle of 30 degrees by the hypotenuse
so
<em>Find the value of tan(60°)</em>
substitute the values of x and y
45=k√5
times both sides by √5
45√5=5k
divide both sides by 5
9√5=k