2^9 - 2^4 = 496
when you multiply exponents, you just add the two (4 and 5) and keep the coefficient the same.
when you multiply by an exponent (^2), you multiple the exponents and keep the coefficient the same.
Answer:
0.333
units³
Step-by-step explanation:
Think process:
The equation is given as y = 
Let, y = f (x)
Therefore, 
We know that the limits are y-axis and x= 3
Y-axis: x= 0
then limits are given as x= 0 and x = 3
Integrating gives:
=
+ C
calculating from x= 0 to x = 3, we know volume is given by 
=
[
]
=
[0.000041136 + 1/3]
= 0.333
units³
Answer:
x = 5 and y = 7
Step-by-step explanation:
Given that,
PT = x+2, TR=y, QT=2x, TS=y+3
We need to find the value of x and y.
The diagonal of a parallelogram bisect each other. It means,
PT = TR and QT = TS
ATQ,
y = x+2 ...(1)
and
y+3 = 2x ....(2)
Subtracting equation (1) and (2).
y-(y+3) = x+2-2x
y-y-3 = 2-x
-3 = 2-x
x = 2+3
x = 5
Put the value of x in equation (1).
y = 5 + 2
y = 7
Hence, the values of x and y are x = 5 and y = 7.
The probability that more than 5 students will pass their exam is 0.0188416.
<h3>How to find the probability?</h3>
The probability that a student passes their examination = 40% = 0.4
The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam
The probability that 6 students pass their exam =

The probability that 7 students pass their exam =

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384
= 0.0188416
Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.
Learn more about probability here: brainly.com/question/24756209
#SPJ4