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
ratelena [41]
2 years ago
9

Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be

within 0.01 mm of 8 mm. This is represented by |x – 8| < 0.01. 

Write this inequality as a compound inequality without absolute value bars.






Solve the inequality.






Graph the solutions on a number line.






What do the solutions of the inequality mean for the bolt?
Mathematics
1 answer:
zalisa [80]2 years ago
7 0

The absolute value of a number x is the positive version of that number. So, if x is positive, its absolute value is x itself. If x is negative, its absolute value is -x, so that it will be positive again.

So, if the absolute value of a number is smaller than a certain quantity, i.e. |x| it means that the positive version of x is less than a.

So, if x is positive, the inequality becomes x. If x is negative, the inequality becomes -x-a.

So, as a compound inequality, we have

|x|

So, in your case, we have

|x-8|

Add 8 to all sides in this inequality:

8-0.01 < x < 8+0.01 \iff 7.79 < x

So, on a number line, you must higlight all numbers between 7.79 and 8.01, endpoints excluded.

Conceptually, this means that the bolt measurement should be exactly 8mm, but you can accept bolts that are 0.01 millimeters shorter of larger.

You might be interested in
PLEASE HELP ASAP<br> How do you find the total for a purchase if there is sales tax?
qaws [65]

Answer:

Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest

7 0
2 years ago
Read 2 more answers
Please help.
Cloud [144]

Answer:

The cups cost $3.00 and the plates cost $4.00

6 0
2 years ago
-3x + 2y = 8 <br> Help pleases and thank you ...
malfutka [58]
Second one. The points should be at (-4,5) and the slope should be 3/2
8 0
3 years ago
Problem: The mean number of bankruptcies filed per minute in the ` States in a recent year was about two. Find the probability t
tino4ka555 [31]
The number of companies is quite large. That is, n is quite large.
The probability that a company declares bankruptcy is quite small , p is quite small.
np = the mean number of bankruptcies = 2  = a finite number.
Hence we can apply Poisson distribution for the data.
P (x=5 | mean =2) = e-2 25/5! = e-2 * 32/120 = 0.036089
Alternatively 
=poisson(5,2,0) = 0.036089
P(x≥ 5 | mean =2) = 1- P( x ≤ 4) = 1- e-2 (1+2+22/2!+23/3!+24/4!)= 1-e-2 (1+2+2+8/6+16/24)= 1-e-2(7)
  =0.052653
Alternatively
= 1- poisson(4,2,1) =0.052653
P(X > 5 | mean =2) = 1- p(x
 ≤ 5) =1- e-2 (1+2+22/2!+23/3!+24/4!+25/5!)= 1-e-2(7+4/15)
  =0.016564
alternatively=1-poisson(5,2,1)
=0.016564
4 0
3 years ago
PLEASE PLEASE HELP!!! WILL GIVE BRAINLIEST
STALIN [3.7K]

Answer:

a. this b>9 B. the first one C. the second one

Step-by-step explanation:

D is the first one

4 0
2 years ago
Other questions:
  • Kasi bought 7 pounds of mozzarella cheese. Each pound costs $4.29. About how much did he spend all together?
    9·2 answers
  • Help me on this Please
    5·1 answer
  • Kun-cha has 150 feet of fencing to make a corral for her horses. The barn will be one side of the partitioned rectangular enclos
    10·1 answer
  • The temperature at a mountain base camp was −3 degrees Celsius on Monday. Tuesday morning, the temperature was 2 degrees Celsius
    13·2 answers
  • I need help with this question
    9·2 answers
  • .Chris and Brian were selling T-shirts for their school's basketball team .for every seven t-shirts Chris Sold, Brian Sold 5 t-s
    11·1 answer
  • EXPERT HELP I'LL GIVE BRAINLIEST: EXPLAIN THE ANSWER
    14·2 answers
  • Dr. Mann mixed 10.357 g of chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5 doses of medicine. What do it
    12·1 answer
  • Select all that are true for the following quadratic: y = 2 x 2 + 3 x + 5
    15·1 answer
  • Can anyone help on this??
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!