Answer:
<em>4 pounds of ingredients are used in each batch.</em>
Step-by-step explanation:
Amount of flour = 
Amount of butter = 8 pounds
Amount of sugar = 
So, the <u>total amount of all ingredients</u> will be: 
Given that, she makes 12 batches of cookies using all the ingredients.
Thus, the amount of ingredients used in each batch 
Set the two equal to each other and solve for x
-2x+1 = -2x²+1
-2x= -2x²
x=x²
x²-x=0
x(x-1) =0, so x is either 0 or 1
two solutions, namely (0,1) and (1,1)
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:
X=20
you subtract 15 from 75 to get 60 then divide 60 by 3 to get 20
The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
13/8(12^4)-13/8(5^4)
=32680+3/8 sq. units
=