Factor like terms..
(ax + ay) + (3bx + 3by)
= a(x + y) + 3b(x + y)
Finally, group the common factors of x + y and collect the terms to get:
(x + y )(a + 3b)
Answer:
The correct answer is option 1.
cubic units.
Step-by-step explanation:
The formula for the volume, V of a right angled cone is given as:

Where, 
is the radius of the circular base of the cone.
is the height of the cone.
We are given that height is twice of the radius of its base.
Let the radius of base =
units
Now, As per the question statement,
The height of cone=
units
Putting the values of
in equation (1) to find the volume:

Hence, the correct answer is option 1.
cubic units.
To find the y-intercept, let x = 0.
0 - 3y = -6
-3y = -6
y = 2
The y-intercept of the equation is the point (0, 2).
Answer:
The percent of callers are 37.21 who are on hold.
Step-by-step explanation:
Given:
A normally distributed data.
Mean of the data,
= 5.5 mins
Standard deviation,
= 0.4 mins
We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.
Lets find z-score on each raw score.
⇒
...raw score,
=
⇒ Plugging the values.
⇒
⇒
For raw score 5.5 the z score is.
⇒
⇒
Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.
We have to work with P(5.4<z<5.8).
⇒ 
⇒ 
⇒
⇒
and
.<em>..from z -score table.</em>
⇒ 
⇒
To find the percentage we have to multiply with 100.
⇒ 
⇒
%
The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21
Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80