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
elena55 [62]
3 years ago
11

Pleeeeeaseee help meeeee computing definite integral by appealing to geometric formulas

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Plotting the functions is highly recommended.

For A, the area under f(x)=3 over the interval [1, 2] is the area of rectangle with height 3 and width 2 - 1 = 1, so the area is

\displaystyle\int_1^23\,\mathrm dx=3\cdot1=3

For B, the area under f(x)=1-|x-1| plotted over the interval [0, 2] is the area of a triangle with height 1 and base length 2, so the area is

\displaystyle\int_0^2(1-|x-1|)\,\mathrm dx=\frac12\cdot1\cdot2=1

You might be interested in
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N. N
S_A_V [24]

Answer:

N = {13, 15, 17, 19}

Step-by-step explanation:

The natural numbers greater than 11 and less than 21 are:

12, 13, 14, 15, 16, 17, 18, 19 and 20

Odd numbers are numbers that have remainders when divided by 2. Out of the numbers above, the numbers with remainders when divided by 2 are 13, 15, 17 and 19.

Since N is the set of odd natural numbers greater than 11 and less than 21,

N = {13, 15, 17, 19}

4 0
3 years ago
Read 2 more answers
3. The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population p
damaskus [11]

Answer:

A)sample proportion = 0.17,  the sampling distribution of p can be calculated/approximated with normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) 0.869

C)0.9668

Step-by-step explanation:

A) p ( proportion of population that spends more than $100 per week) = 0.17

sample size (n)= 800

the sample proportion of p = 0.17

standard error of p = \sqrt{\frac{p(1-p)}{n} } = 0.013281

the sampling distribution of p can be calculated/approximated with

normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z = \frac{P - p}{standard deviation}

at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 = = -1.51

at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

                           = 0.9345 - 0.0655 = 0.869

C) for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

therefore the required probability after applying

z = \frac{P-p}{standard deviation} at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

                               = 0.9834 - 0.0166 = 0.9668

7 0
3 years ago
Read 2 more answers
Explain your reasoning for your answer above. <br><br> I’ll give brainliest !!
Juliette [100K]

Answer:

A

Step-by-step explanation:

The triangles are the same. Congruent is when all three sides are equal to each other on both triangles

5 0
2 years ago
Enter below an equation that describes the hanger:
Murljashka [212]

Answer:

I think it's 7=2x+3

Step-by-step explanation:

The diagram shows a balanced set of 2 sides, meaning that both sides equal each other. I assume you don't know what x is, so the simplest you can do to combine all three parts of the left side of the diagram is 2x+3, which of course equals 7, the right side.

I'm not the best at explaining, but I hope that helps.

8 0
3 years ago
What is the reciprocal of 3 1/5?
aivan3 [116]

if u like it,u can start following me...

5 0
3 years ago
Read 2 more answers
Other questions:
  • How would i solve 8x squared plus 4x =0
    7·2 answers
  • What is the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers?
    9·1 answer
  • nick drove at a rate of 60 mph for 2 2/3 hours. then he drove another 1 1/2 hours at a speed of 45 mph. how far did he travel?
    7·1 answer
  • I need help with #24 please :)
    12·1 answer
  • Please help! <br>What is the answer to this question?<br>​
    6·2 answers
  • Is 7/12,1/6,-1/4,-2/3 arithmetic?
    12·1 answer
  • A
    8·1 answer
  • PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE H
    8·1 answer
  • Question
    10·1 answer
  • A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!