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
olga nikolaevna [1]
2 years ago
8

Samples of laboratory glass are in small, lightpackaging or heavy, large packaging. Suppose that 2% and 1% of thesample shipped

in small and large packages, respectively, breakduring transit. (a) If 60% of the samples are shipped in largepackages and 40% are shipped in small packages, what proportion ofsamples break during shipment? (b) Also, if a sample breaks duringshipment, what is the probability that it was shipped in a smallpackage?
Mathematics
1 answer:
Aleks [24]2 years ago
5 0

Answer:

a) 1.4% of the samples break during shipment

b) the probability is 4/7 ( 57.14%)

Step-by-step explanation:

a) defining the event B= the sample of laboratory glass breaks , then the probability is:

P(B)= probability that sample is shipped in small packaging * probability that the sample breaks given that was shipped in small packaging +  probability that sample is shipped in large packaging * probability that the sample breaks given that was shipped in large packaging = 0.40* 0.02 + 0.60*0.01 = 0.014

b) we can use the theorem of Bayes for conditional probability. Then defining the event S= the sample is shipped in small packaging . Thus we have

P(S/B)= P(S∩B)/P(B) = 0.40* 0.02 / 0.014= 4/7 ( 57.14%)

where

P(S∩B)= probability that sample is shipped in small packaging and it breaks

P(S/B)= probability that sample was shipped in small packaging given that is broken

You might be interested in
PLEASE HELP ASAPPP!!!!!
TiliK225 [7]
3/8ths or 0.375 probability
6 0
2 years ago
Rearrange y=1/2x+2 to make x the subject.
yarga [219]

Subtract 2

y-2=1/2 x

Multiply by 2 to cancel out the denominator and to get 1 in front of x

2(y-2)=x

You can stop there or you can multiply out.

2y-4=x


7 0
3 years ago
Read 2 more answers
Levi has a job offer in which he will receive $800 per month plus a commission of 2% of the total price of the cars that he sell
Veseljchak [2.6K]

Answer:

Levi must sell more than 80000 cars per month for the new job to be better than the current job.

Step-by-step explanation:

New Job;

He receives $800 per month plus a commission of 2% or 0.02 of the total price of the cars.

Now, let the total amount he receives in a month be "y" and let the amount of cars sold be x.

Thus;

y = 800 + 0.02x - - - -(eq1)

Current Job:

He receives $1200 per month plus a commission of 1.5% or 0.015 of his total sales.

Thus;

y = 1200 + 0.015x - - - (eq2)

Substituting 800 + 0.02x for y into eq(2) gives;

800 + 0.02x = 1200 + 0.015x

0.02x - 0.015x = 1200 - 800

0.005x = 400

x = 400/0.005

x = 80000

This means Levi must sell more than 80000 cars per month for the new job to be better than the current job.

6 0
3 years ago
Which absolute value expression represents the distance between 3 and −5 on a number line?
lora16 [44]

Answer:

B) To represent  the distance between 3 and −5 on a number line,  the correct expression is  I(3) - (-5)I .

Step-by-step explanation:

Here the point A is given as 3 on number line.

Point B is given as -5 on number line.

To find :  IA-BI

The distance between any two point A and B is given as IA-BI.

Now, to find the absolute value:

IA-BI = I  (3) - (-5)I

or, IA-BI = I (3) + 5I  = I8I

= 8 units

or, IA-BI = 8 units

Hence, on the number line, the distance between -5 and 3 is 8 units.

And, to represent  the distance between 3 and −5 on a number line,  the correct expression is  I(3) - (-5)I .

3 0
3 years ago
Find the missing angle
Dmitrij [34]

Answer:

28 degrees

<h3>Step by step explanation :</h3>

just add both number then subtract by 180 and you will find the missing angle

3 0
2 years ago
Other questions:
  • Need help on number 17
    14·2 answers
  • Find the limit.<br> <img src="https://tex.z-dn.net/?f=%20%5Clim_%7Bt%20%5Cto%20%5C-%283%2F2%29%5E-%7D%20sec%20%20%5Cpi%20t" id="
    11·1 answer
  • Trever Goetz is a salesperson who is paid a monthly salary of $500 plus a 2% commission on sales. How much must he sell to earn
    6·1 answer
  • the growth of a bacteria each hour is given by the function f(x)= 5500(1.65)^x. At what percent are the bacteria growing each ho
    10·1 answer
  • 80000 times 60 plus 89
    7·1 answer
  • The volume of a cylinder is given by the formula V= πr^2h, where r is the radius of the cylinder and h is the height. Suppose a
    7·2 answers
  • Need help with this question
    14·1 answer
  • PLS HELP!!! <br> Thank You!!!
    14·2 answers
  • The perimeter of the rectangle below is 96 units. Find the length of side RS.
    13·1 answer
  • Anna cut a right triangle from a piece of fabric. The legs of the triangle measure 9 centimeters (cm) and 12 cm. What is the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!