Answer:
6
Step-by-step explanation:
Mr. Kramer has pencils for his class = 30
Students in his class = 22
Pencils he would like to give each student = 2
How many more pencils does Mr. Kramer need to buy so that each student will receive 2 pencils = ?
Total pencils Mr. Kramer need to buy so that each student will receive 2 pencils = 22 × 2
= 44
= 44 - 30
= 6
Mr. Kramer need to buy 6 more pencils so that each student will receive 2 pencils
Answer:
a) P=0.0225
b) P=0.057375
Step-by-step explanation:
From exercise we have that 15% of items produced are defective, we conclude that probabiity:
P=15/100
P=0.15
a) We calculate the probabiity that two items are defective:
P= 0.15 · 0.15
P=0.0225
b) We calculate the probabiity that two of three items are defective:
P={3}_C_{2} · 0.85 · 0.15 · 0.15
P=\frac{3!}{2!(3-2)!} · 0.019125
P=3 · 0.019125
P=0.057375
Answer:

Step-by-step explanation:
Given:
.
we need to find the correct form for
if the equation is solve using undetermined coefficients.
A first order differential equation
is said to be homogeneous if
for all t.
Consider homogeneous equation 
Let
be the solution .
We get 
Since
,
.
So, we get solution as 
As constant term and
are already in the R.H.S of equation
, we can take
as 
Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point

To solve the equation, you need to treat the two cases as above:

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
Answer:
The LCM of 16x^2 and 40x^2 is 80x^5
:) Good Luck
Step-by-step explanation: