Answer:
<em>0.615</em>
Step-by-step explanation:
The frequency table is attached below.
We have to calculate, the probability that the student preferred morning classes given he or she is a junior.
i.e 
We know that,

So,

Putting the values from the table,

Answer: 12 red balls must be added
Step-by-step explanation:
Starting out with 15 balls, 6 red implies 9 blue. If blue remains 9, then we expect red to be 18 for a probability at 2/3. 18-6 = 12
Answer:
D. 8
Step-by-step explanation:
The given diagram is a trapezium. We know that the consective sides of a trapezium are equal. so,
Putting the values of consecutive sides equal:
So, KI will be equal to LI
3x-7 = x+3

Putting the value of x in the equation of KI
3x-7
=3(5)-7
=15-7
=8
Hence, the correct answer is D. 8 ..
The Question is incomplete the Complete Question is
Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?
Answer:
Therefore the value of tan x is

Step-by-step explanation:
Given:
hypotenuse = 10 cm'
side adjacent to the acute angle 'x' = 6 cm.
side opposite to the acute angle 'x' = 8 cm.
To Find:
tan x = ?
Solution:
In Right Angle Triangle , Tan Identity we have

Substituting the values we get

Therefore the value of tan x is

In terms of its radius
, the volume of the balloon is

The diameter
is twice the radius, so that in terms of its diameters, the balloon's volume is given by

Differentiate both sides with respect to time
:

The diameter increases at a rate of
. When the diameter is
, we have

or about 23,562 cc/min (where cc = cubic centimeters)