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
mamaluj [8]
3 years ago
14

The number of contaminating particles on a silicon wafer prior to a certain rinsing process was determined for each wafer in a s

ample of size 100, resulting in the following frequencies:
Number of particles: 0, 1, 2, 3, 4, , 5, 6, 7
Frequency: 1, 2, 3, 12, 11, 15, 18, 10
Number of particles: 8, 9, 10, 11, 12, 13, 14
Frequency: 12, 4, 5, 3, 1, 2, 1
(a.) What proportion of the sampled wafers had at least one particle? At least five particles?
(b.) What proportion of the sampled wafers had between five and ten particles, inclusive? Strictly between five and ten particles?
(c.) Draw a histogram using relative frequency on the vertical axis. How would you describe the shape of the histogram.

Mathematics
1 answer:
GalinKa [24]3 years ago
4 0

Answer:

1.   a, 99%       b71%

2. 64%, 44%

3. Number of particles    0, 1, 2, 3, 4,  5, 6, 7,  8, 9, 10, 11, 12, 13, 14

frequencies:                 1, 2, 3, 12, 11, 15, 18, 10,  12, 4, 5, 3, 1, 2, 1

Relative frequencies  0.01, 0.02,0.03,0.12,0.11,0.15, 0.18,0.1, 0.12,0.04,                        0.05,0.03,0.01,0.02,0.01

Step-by-step explanation:

Number of particles: 0, 1, 2, 3, 4, , 5, 6, 7

Frequency: 1, 2, 3, 12, 11, 15, 18, 10

Number of particles: 8, 9, 10, 11, 12, 13, 14

Frequency: 12, 4, 5, 3, 1, 2, 1

we solve by saying that  . one of th smaples wafer is with  any particles. we get the proportion by subtracting 1 from the total  divided by 100

100-1/100

.99

at least five particles , then we can subtract the number of those with particles less than five from 100 , divided by 100

100-(11+12+3+2+1)=71/100

0.71 or 71%

b. those particles within 5 and 10 inclusive

15+18+10+12+4+5=64/100

0.64

0r 64%

five and 10 exclusively will be

18+10+12+4=44/100

0.44

44%

c. Draw an histogram. first we have frequency table first

Number of particles    0, 1, 2, 3, 4,  5, 6, 7,  8, 9, 10, 11, 12, 13, 14

frequencies:                 1, 2, 3, 12, 11, 15, 18, 10,  12, 4, 5, 3, 1, 2, 1

Relative frequencies  0.01, 0.02,0.03,0.12,0.11,0.15, 0.18,0.1, 0.12,0.04,                        0.05,0.03,0.01,0.02,0.01

Relative frequencies is derived by dividing each frequencies over the total frequencies

wecan say that it is unimodal or say that it is slightly positively skewed

You might be interested in
what is the correct first step in finding the area of the base of a cylinder with a volume of 140 pi cubic meters and a height o
maxonik [38]
The volume of the cylinder by definition is given by:
 V = Ab * h
 Where,
 Ab: base area
 h: height
 Substituting values we have:
 140 = Ab * 12
 To find the area, the first step is:
 Pass the 12 dividing.
 Answer:
 
the correct first step in finding the area of the base of a cylinder is:
 
Pass the 12 dividing.
7 0
3 years ago
Read 2 more answers
HELP!!! I need help ASAP!!! PLEASE!!
bekas [8.4K]
Top second one under grass and across from minor 77.972.
7 0
3 years ago
Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the
Archy [21]
You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.
7 0
2 years ago
Read 2 more answers
Question 6 of 10 The triangles shown below may not be congruent. 1) 25° 55° 100° 100° 66° 25° O A. True O B. False​
Blizzard [7]

Answer:

True, they may not be congruent

Step-by-step explanation:

A figure cannot be determined as congruent from three angles alone. In order  for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.

5 0
3 years ago
53w + 13 < 56w + 16 solve for w
Sergio039 [100]

Answer:

w>-1

Step-by-step explanation:

1 Move terms

53w-56w<16-13

2 Collect like terms then subtract

-3w< 3

3 Divide both sides by -3

Answer: w>-1

4 0
3 years ago
Read 2 more answers
Other questions:
  • How many feet is the moon from earth
    5·2 answers
  • Please help with function question
    7·1 answer
  • On a quiz there are four multiple-choice questions worth 3 points each and two true/false questions
    11·2 answers
  • A grocery store chain has been tracking data on the number of shoppers that use coupons. The data shows that 71% of all shoppers
    11·1 answer
  • When dividing polynomials, the degree of the remainder R(x) must be ______ the degree of the dividend. A.Less than B.Greater tha
    8·1 answer
  • Find the volume of both shapes please answer will give brainiest Also please answer neatly.
    5·1 answer
  • Equivalent ratio to 5 over 8
    13·2 answers
  • Alexandra has 78 emails in her inbox. She deletes 47 emails. How many emails are left in her inbox? Draw jumps and label the num
    11·1 answer
  • The table shows incomes and expenses for a small music store in one week. Write an integer to represent each value. Then find th
    12·1 answer
  • Fr33 points,<br> anyone like morgan wallen?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!