1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Korvikt [17]
3 years ago
11

Help me:

="\int\limits^\pi _0 sin({x}) \, dx" alt="\int\limits^\pi _0 sin({x}) \, dx" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
ikadub [295]3 years ago
5 0

Answer:

\int^{\pi}_{0}sin(x)dx = 2

Step-by-step explanation:

To solve for the value of \int^{\pi}_{0}sin(x)dx, we need to first find the antiderivative of sin(x).

Since the derivative of cos(x) is -sin(x), therefore the derivative of -cos(x) is sin(x). With this:

\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))

=-cos(\pi)+cos(0)

=-(-1)+1

=2

∴ \int^{\pi}_{0}sin(x)dx = 2

Hope this helps :)

You might be interested in
[Q71 Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters g = 71 inch and 02 = 6
viktelen [127]

Answer: (a) Percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

              (b) Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

Step-by-step explanation:

Given that,

                  Height (in inches) of a 25 year old man is a normal random variable with mean g=71 and variance o^{2} =6.25.

To find:  (a) What percentage of 25 year old men are 6 feet, 2 inches tall

               (b) What percentage of 25 year old men in the 6 footer club are over 6 feet. 5 inches.

Now,

(a) To calculate the percentage of men, we have to calculate the probability

P[Height of a 25 year old man is over 6 feet 2 inches]= P[X>74in]

                           P[X>74] = P[\frac{X-g}{o} > \frac{74-71}{2.5}]

                                         = P[Z > 1.2]

                                         = 1 - P[Z ≤ 1.2]

                                         = 1 - Ф (1.2)

                                         = 1 - 0.8849

                                         = 0.1151

Thus, percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

(b) P[Height of 25 year old man is above 6 feet 5 inches gives that he is above 6 feet] = P[X, 6ft 5in - X, 6ft]

     P[X > 6ft 5in I X > 6ft] = P[X > 77 I X > 72]

                                          = \frac{P[X > 77]}{P[ X > 72]}

                                          = \frac{P[\frac{X - g}{o}>\frac{77-71}{2.5}]  }{P[\frac{X-g}{o} >\frac{72-71}{2.5}] }

                                          = \frac{P[Z >2.4]}{P[Z>0.4]}

                                          =  \frac{1-P[Z\leq2.4] }{1-P[Z\leq0.4] }

                                          = \frac{1-0.9918}{1-0.6554}

                                          = \frac{0.0082}{0.3446}

                                          = 0.024

Thus, Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

4 0
3 years ago
Please help please help please help
aleksandr82 [10.1K]
We need the articles firsttT
5 0
2 years ago
Part A: Students from 4 towns attend a conference. Each town is assigned a number from 1 to 4. Drag yes or no next to the first
Nonamiya [84]

Answer:

Part A - No

Part B - 100 %

Step-by-step explanation:

Part A.

This is because, a fair chance requires that each member has the same probability of being picked.

Since there are 4 towns, a fair chance would be 1/4.That is, 1 out of every town.

Part B

The probability of at least 1 representative after 6 number draws is P(at least 1)  = 1 - P(none from Town 1)

P(none from town 1) = 0

P(at least 1)  = 1 - P(none from Town 1)

P(at least 1)  = 1 - 0 = 1

In percentage 1 × 100 % = 100 %

5 0
3 years ago
Suki has a 9 foot by 12 foot oriental rug. She is making a scale drawing of the rug that is 1 foot long. How many inches wide sh
Mars2501 [29]
Suki i would never name my kid suki XD
5 0
3 years ago
What is the difference of the polynomials?
DedPeter [7]
 m^2*n^2                                    -   7
                 - mn                           -4
-------------------------------------------------
m^2*n^2  -  mn  - 11   (answer)
4 0
3 years ago
Other questions:
  • I ran 13 miles in 2 1/4 hours. What was my average speed? (It has to be done using proportions) I don't need the answer, I need
    13·1 answer
  • Find the surface area of the cylinder in terms of pi.
    6·2 answers
  • Use the net to find the surface area of the cylinder<br>Give your answer in terms of pi
    14·1 answer
  • The MAD for the fall data is 2.8 cookies. The MAD for the spring data is 2.6 cookies. Express the difference in means as a multi
    10·1 answer
  • Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the
    15·2 answers
  • Help please important
    9·2 answers
  • Help me plzzzzzzzzzzzzzzzz
    11·2 answers
  • How bad is the heavy traffic? You can walk 14
    8·1 answer
  • Please help 15 points
    8·2 answers
  • If Tori uses 1 token in the batting cage, the pitching machine throws 6 pitches.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!