Express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 + xi2) Δx, [2, 7] i = 1
Answer:
Step-by-step explanation:
[tex]Consider \ the \ following \ series[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} x_i \ In ( 1+ x_i^2) \Delta x , [2,7][/tex]
[tex]Let's \ recall \ the \ explanation \ of[/tex] d[tex]efinite[/tex] [tex]\ integral \ in \ terms \ of \ Riemann \ sum[/tex]
[tex]\int^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(x_i) \Delta x , \ where \ \Delta x = \dfrac{b-a}{n}[/tex]
[tex]By \ efinition, \ the \ limit \ is \ then \ expressed \ as \ integral[/tex]
[tex]\lim_{n \to \infty} \sum ^a_{i=1} \ x_i \ In (1+x_i^2) \Delta x = \int^7_2 xIn (1+x^2) \ dx[/tex]
someone help pls thank u
PLZ help: The theoretical probability that a pop song plays on your MP3 player is 0.45. There are 80 songs on your MP3 player. How many of the songs are pop songs?
Answer:
36
Step-by-step explanation:
80 * .45 = 36
Answer:There are 36 pop songs on your playlist
Step-by-step explanation:
please helllppp its in the picture and due in 5 mins
Answer:
it is a it's a
Step-by-step explanation:
Answer:
D (I think)
Step-by-step explanation:
If you multiply -4 times -2 you get positive 8 and the five stays the same so it would be 8/5. If you multiply -4 times 3x you would get -12x. So the total equation would read 8/5 - 12x
What is the value of 5k+m when k=-3 and m= -9
Answer: -24
Step-by-step explanation:
Substitute k and m with -3 and -9 then solve.
what is 30% as a fraction in simplest form and as a decimal to the nearest hundredtgh
Answer:
fraction-3/10
decimal-.3
Answer:
Step-by-step explanation:
There are a few ways you could look at this, but this is the way that I prefer:
A percent is essentially already a fraction out of 100. 100% = 1. Therefore, 30% = [tex]\frac{30}{100}[/tex].
To simplify this, divide the top and the bottom by 10. This equals [tex]\frac{3}{10}[/tex]. Because 3 is a prime number and 10 is not divisible by 3, this is completely simplified.
To find the percent of any fraction, the easiest way is to simply divide the top by the bottom.
3/10 = 0.3
This is your final answer, as there is no number in the hundredth place or beyond to concern yourself with.
please find the Equations PLEASE
Answer:
9) y = -x
10) y = -3/2x + 12
11) y = 3/4x - 5
12) y = -2/3x
Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
that a randomly chosen student answered correctly. Here is the probability distribution of X along with
summary statistics:
0
1
2
2.
3
X = # correct
P(X)
0.05
0.20
0.50
0.25
Mean: Hex = 1.95
Standard deviation: Ox 0.8
Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give
every student 5 additional bonus points. Let Y represent a random student's score.
What are the mean and standard deviation of Y?
Hy =
points
Oy
points
Answer:
24.5 points
8 points
Step-by-step explanation:
khan academy
The mean is 1.95 and the standard deviation is 2.41 for the given distribution.
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The given data as :
Correct question (x) Probability
0 0.05
1 0.20
2 0.50
3 0.25
In this scenario, we must calculate the mean, which is the product of the correct question and the probability. The mean will then be subtracted from the correct question. multiply the difference between the correct question and the mean by probability. This indicates the pay variance. off's The standard deviation of the distribution is given by taking the square root of the variance of the correct question.
Mean = 0 × 0.05 + 1 × 0.20 + 2 × 0.50 + 3 × 0.25
Mean = 1.95
Variance = (0 - 1.95)² + (1 - 1.95)² + (2 - 1.95)² + (3 - 1.95)²
Variance = 3.8025 + 0.9025 + 0.0025 + 1.1025
Variance = 5.81
Standard deviation = √(Variance)
Standard deviation = √(5.81)
Standard deviation = 2.41
Thus, the mean is 1.95 and the standard deviation is 2.41 for the given distribution.
Learn more about the standard deviation here:
brainly.com/question/16555520
#SPJ2
You will drop the bottle/water mass so that it hits the lever at different speeds. Since an object in free fall is accelerated by gravity, you need to determine the heights necessary to drop the bottle to achieve the speeds of 2 m/s, 3 m/s, 4 m/s, 5 m/s, and 6 m/s. Use the equation Ht = v squared over 2 g. to calculate the height, where Ht is the height, v is the speed (velocity), and g is the gravitational acceleration of 9.8 m/s2. Record these heights in Table B. To achieve a speed of 2 m/s, the bottle must be dropped at m. To achieve a speed of 3 m/s, the bottle must be dropped at m. To achieve a speed of 4 m/s, the bottle must be dropped at m. To achieve a speed of 5 m/s, the bottle must be dropped at m. To achieve a speed of 6 m/s, the bottle must be dropped at m
Answer:2,3,4,5,6
Step-by-step explanation:
Answer:
0.20
0.46
0.82
1.28
1.84
Step-by-step explanation:
Bob is 17 years older than john. In 5 years, the sum of their ages will be 51. Find their current age
* HELP QUICK I WILL MARK BRANLIEST* If the circumference of a circle is 10x inches, what is the area, in square inches, of
the circle?
1) 10 sq. in
2) 254 sq. in.
3) 50. sq. in.
4) 100 sq. in.
Answer:
100 Sq in.
Step-by-step explanation:
Please answer
If it takes 4/5 hours to mow 1/4 of the lawn, how much time does it take to mow the entire lawn?
A. 5/16 hr
B. 5/8 hr
C. 21/20hr
D.16/5hr
Step-by-step explanation:
it will take 21/20hours
Which points are solutions to the system of inequalities? Select ALL that apply.
(-2, 4)
(2, -1)
(3, 1)
(0, 0)
(0, -1)
Answer:
0,0
2,-1
-2,4
Step-by-step explanation:
Guys.. I’m going to get held back, I. Need. Help.
Answer:
1). -12
2). -6
Hope this helps<3
Sue answer 43 out of 60 questions correctly. What percentage of her answers are incorrect round the percentage to one Decimal Place.
Answer: 28.3 %
Step-by-step explanation:
60-43 = 17
17/60 = 0.283
Solve for X
1q - 2 x = 7
Help!
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]
Answer:
A
Step-by-step explanation:
All triangles angles add up to 180°
what is the slope for (-11,7),(15,-3)
Answer:
m=-5/13
Explanation
What is the diameter of this circle? A) 2 cm B) 3.14 cm C) 4 cm D) 8 cm
Answer:
The answer is c
Step-by-step explanation:
Well, since the Circle is 8cm you can divide the circle by two to get 4
Which triangles are congruent by SAS?
Answer: VTU and HGF
Step-by-step explanation:
To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has
increased by 7.2%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
PLEASE HELP :)
Answer: [tex]y= 2300(1.072)^t[/tex]
Step-by-step explanation:
The exponential growth equation : [tex]y=A(1+r)^t[/tex] , where A=initial value, r= rate of growth , t= time.
Given: A = 2300, r= 7.2% = 0.072
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.
then, the exponential function showing the relationship between y and t will be:
[tex]y= 2300(1+0.072)^t\\\\\Rightarrow\ y= 2300(1.072)^t[/tex]
URGENT PLEASE HELP GIVE RIGHT ANSWER.
Answer:
its negative 8
Step-by-step explanation:
you can see it there
I NEED HELP ITS DUE IN A FEW MINUTES HHHHEEELLLLPPP
Answer:
Question 11 - B
Question 12 - C
Step-by-step explanation:
11). 4 chairs per table --> B
120/30 = 412). The 24 pack is a better buy (C).
12 pack - 0.3333 per can24 pack - 0.3125 per can <-- cheaperi don’t understand, what’s the answer to this pleaseeee
Answer:
I don't know the answer but I suggest u get help from a tutor
they help a LOT
Which is the equation for the line that passes through (5,-3) and has a slope of 6?
So ummm. I kind of got this wrong, and I had to delete my answer, I swear, I am SOOOO sorry. If there is a way I can give your points back I will do so.
So um yeah, just ignore this.
HELP PLZ 20 POINTSSSS
Answer:
cube................
Answer:
A)
Step-by-step explanations:
6y + 12x + 4y - 9x - 3x
Combining like terms
I need some help!
Answer:
10y
Step-by-step explanation:
WILL GIVE THE BRAINIEST AND 50 POINTS!!!
Walmart sells colored pencils for $0.75 a box, spiral notebooks for $3 each, and pencil boxes for $1.20 each.
a. If Jack and his two sisters all buy one of each item, what will be the total cost?
b. Their dad game them a total of $30.00. How much would they have left after they purchase these school supplies?
Please help me ASP please
lxw so 3/4 x 4/5 then get ur answer
solve the equation
58 = 9x - 5
Answer:
x=7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Let's solve your equation step-by-step.
58=9x−5
Step 1: Flip the equation.
9x−5=58
Step 2: Add 5 to both sides.
9x−5+5=58+5
9x=63
Step 3: Divide both sides by 9.
9x/9 = 63/9
x=7