Answer:
Area of 23958
Step-by-step explanation:
The Riemann sum is just the divide of a area into smaller areas and computing the sum of those areas. It is basically the integral of a function over an interval.

over the interval [0,33].

evaluate

Answer:
x=1/3
Step-by-step explanation:
You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3
Answer:
x = 32
y = 51
m∠N = 14°
Step-by-step explanation:
Given:
ΔMNP ≅ ΔTUS
By the property of similarity,
MN ≅ TU, NP ≅ US and MP ≅ TS
m∠M = m∠T = 142°,
m∠N = m∠U = (2x - 50)°
m∠P = m∠S = 24°
Since, m∠N = [180°- (m∠M + m∠P)]
(2x - 50) = 180 - (142 + 24)
2x - 50 = 14
2x = 64 ⇒ x = 32
Since, NP = US,
2x - y = 13
2(32) - y = 13
64 - y = 13
y = 51
m∠N = 180° - (142 + 24)°
= 14°
-3x=48 ---> x=-16
5x-1=29 --> x=6
4(x-6)+7=23 --> x=10
3(x-4)+5x=4 --> x=2
Answer:
0.6 = 60% probability that he or she studies on a weeknight.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Probability A: Probability of a student studying on weeknights.
Probability B: Probability of a student studying on weekends.
Forty-two percent of students said they study on weeknights and weekends
This means that 
47% said they studied on weekends
This means that 
65% said they study either on weeknights or weekends.
This is 
If you were to pick one student at random, what is the probability that he or she studies on a weeknight?
This is P(A), and the equation used is:

Considering the values we have:



0.6 = 60% probability that he or she studies on a weeknight.