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2 years ago

Please help!!!

Mathematics

1 answer:

xxMikexx [17]2 years ago

7 0

Answer:

A = 1.5 π in² ≈ 4.7 in²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{\frac{\pi }{3} }{2\pi }$

= π × 3² × $\frac{1}{6}$

= 9π × $\frac{1}{6}$

= 1.5π in²

≈ 4.7 in² ( to the nearest tenth )

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A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome

butalik [34]

Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

³⁰C₄ = 27405 ways

So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples

c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

Total number of samples = 658008

The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples

6 0

3 years ago

{ vowels in the word ALGEBRA}

zheka24 [161]

Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

7 0

2 years ago

Evaluate the surface integral. s y ds, s is the helicoid with vector equation r(u, v) = u cos(v), u sin(v), v , 0 ≤ u ≤ 6, 0 ≤ v

Juliette [100K]

Compute the surface element:

$\mathrm dS=\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv$

$\vec r(u,v)=(u\cos v,u\sin v,v)\implies\begin{cases}\vec r_u=(\cos v,\sin v,0)\\\vec r_v=(-u\sin v,u\cos v,1)\end{cases}$

$\|\vec r_u\times\vec r_v\|=\sqrt{\sin^2v+(-\cos v)^2+u^2}=\sqrt{1+u^2}$

So the integral is

$\displaystyle\iint_Sy\,\mathrm dS=\int_0^\pi\int_0^6u\sin v\sqrt{1+u^2}\,\mathrm du\,\mathrm dv$

$=\displaystyle\left(\int_0^\pi\sin v\,\mathrm dv\right)\left(\int_0^6u\sqrt{1+u^2}\,\mathrm du\right)$

$=\dfrac23(37^{3/2}-1)$

4 0

3 years ago

A scale for a scale drawing is 17 cm:1 mm. Which is larger, the actual object or the scale drawing?

Dvinal [7]

9514 1404 393

Answer:

the scale drawing is larger

Step-by-step explanation:

The scale tells you that ...

17 cm on the scale drawing represent 1 mm on the actual object.

17 cm is larger than 1 mm, so the scale drawing is larger.

5 0

3 years ago

28% of 60= i need help now i am in middle school

Daniel [21]

Answer:

16.8

Step-by-step explanation:

Solution for What is 28 percent of 60:

28 percent *60 =

( 28:100)*60 =

( 28*60):100 =

1680:100 = 16.8

4 0

2 years ago