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
kati45 [8]
2 years ago
8

Of the males surveyed, what proportion selected small T-Shirt size

Mathematics
1 answer:
OlgaM077 [116]2 years ago
4 0

Answer:

this question doesn't make sense

You might be interested in
For the function defined by f(t)=2-t, 0≤t<1, sketch 3 periods and find:
Oksi-84 [34.3K]
The half-range sine series is the expansion for f(t) with the assumption that f(t) is considered to be an odd function over its full range, -1. So for (a), you're essentially finding the full range expansion of the function

f(t)=\begin{cases}2-t&\text{for }0\le t

with period 2 so that f(t)=f(t+2n) for |t| and integers n.

Now, since f(t) is odd, there is no cosine series (you find the cosine series coefficients would vanish), leaving you with

f(t)=\displaystyle\sum_{n\ge1}b_n\sin\frac{n\pi t}L

where

b_n=\displaystyle\frac2L\int_0^Lf(t)\sin\frac{n\pi t}L\,\mathrm dt

In this case, L=1, so

b_n=\displaystyle2\int_0^1(2-t)\sin n\pi t\,\mathrm dt
b_n=\dfrac4{n\pi}-\dfrac{2\cos n\pi}{n\pi}-\dfrac{2\sin n\pi}{n^2\pi^2}
b_n=\dfrac{4-2(-1)^n}{n\pi}

The half-range sine series expansion for f(t) is then

f(t)\sim\displaystyle\sum_{n\ge1}\frac{4-2(-1)^n}{n\pi}\sin n\pi t

which can be further simplified by considering the even/odd cases of n, but there's no need for that here.

The half-range cosine series is computed similarly, this time assuming f(t) is even/symmetric across its full range. In other words, you are finding the full range series expansion for

f(t)=\begin{cases}2-t&\text{for }0\le t

Now the sine series expansion vanishes, leaving you with

f(t)\sim\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi t}L

where

a_n=\displaystyle\frac2L\int_0^Lf(t)\cos\frac{n\pi t}L\,\mathrm dt

for n\ge0. Again, L=1. You should find that

a_0=\displaystyle2\int_0^1(2-t)\,\mathrm dt=3

a_n=\displaystyle2\int_0^1(2-t)\cos n\pi t\,\mathrm dt
a_n=\dfrac2{n^2\pi^2}-\dfrac{2\cos n\pi}{n^2\pi^2}+\dfrac{2\sin n\pi}{n\pi}
a_n=\dfrac{2-2(-1)^n}{n^2\pi^2}

Here, splitting into even/odd cases actually reduces this further. Notice that when n is even, the expression above simplifies to

a_{n=2k}=\dfrac{2-2(-1)^{2k}}{(2k)^2\pi^2}=0

while for odd n, you have

a_{n=2k-1}=\dfrac{2-2(-1)^{2k-1}}{(2k-1)^2\pi^2}=\dfrac4{(2k-1)^2\pi^2}

So the half-range cosine series expansion would be

f(t)\sim\dfrac32+\displaystyle\sum_{n\ge1}a_n\cos n\pi t
f(t)\sim\dfrac32+\displaystyle\sum_{k\ge1}a_{2k-1}\cos(2k-1)\pi t
f(t)\sim\dfrac32+\displaystyle\sum_{k\ge1}\frac4{(2k-1)^2\pi^2}\cos(2k-1)\pi t

Attached are plots of the first few terms of each series overlaid onto plots of f(t). In the half-range sine series (right), I use n=10 terms, and in the half-range cosine series (left), I use k=2 or n=2(2)-1=3 terms. (It's a bit more difficult to distinguish f(t) from the latter because the cosine series converges so much faster.)

5 0
3 years ago
I need help with elimnation​
Ivahew [28]

Answer:

what do u mean by that? like what do you want to delete?

3 0
2 years ago
Help will give Brainly points due in a hour!!
blondinia [14]

you can compare the length of sides of both the triangles...

4 0
2 years ago
Read 2 more answers
4. He drove at Puerto Princesa City to Taytay at an average speed of 40 kph
dexar [7]

Step-by-step explanation:

Distance = Speed x Time

Given Distance = 40km/h or kph

Time = 5 hours 15 minutes

=

5 \frac{15}{60}  \\  = 5 \frac{1}{4} \\  = 5.25hours

Distance Travelled = 40 kph x 5.25 hours

= 210km

7 0
2 years ago
Right triangles are similar. Always Sometimes Never
zavuch27 [327]

Answer:

Always

Step-by-step explanation:

Right triangles are always similar.

All right triangles have a 90 degree angle.

This means that, they would all look visually similar because of the 90 degree angle.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is this question, 27.
    15·1 answer
  • The length of a chalkboard is 5 feet.the width is 10 ft. mr Jones has 20 feet of string to place around it. Ms coley cuts off 3
    7·2 answers
  • What point the equation
    10·2 answers
  • Given a | | b, m∠ 1 = 56° , and m∠2 = 42° , find the measure of the other angles.
    13·1 answer
  • 9.45% of the rooms in a hotel are booked. If 36 rooms are booked, how many rooms are in the hotel total?
    5·1 answer
  • Use the root test to find the nature of the series : i need solutions details please
    13·1 answer
  • Please help me ASAP I’ll mark Brainly
    13·1 answer
  • Find the AREA of the shape​
    8·1 answer
  • You know that 3 pencils and 7 pens cost $24 with 3 pencils and 3 pens cost $12 how many dollars are 4 pencils and 5 pens worth?
    15·1 answer
  • 3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!