answer.
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
Strike441 [17]
1 year ago
10

There are 10 pots exposed in the shop, 2 of which have hidden defects. the customer buys two pieces. what is the probability tha

t at least one of them has a hidden bug ?

Mathematics
1 answer:
Tpy6a [65]1 year ago
8 0
Check the tree diagram, of all the possible scenarios and the probabilities.

All the possible scenarios are: 

1st.non defective,  2nd.non defective
1st.non defective,  2nd. defective
1st. defective,  2nd. non defective
1st. defective,  2nd. defective

consider the case 1st.non defective,  2nd.non defective

the probability that the first one is non defective is 8/10, since 8 out of 10 are non defective.

In this scenario, the second one is non defective as well. The probability for this to happen is 7/9, since now we have 7 non defective pots, and 9 in total.

This means that the probability of the first to be non defective, and the second non-defective is (8/10) * (7/9)=0.622

similarly we calculate the other cases, as shown in the picture.

P(at least one is defective)=
P(1st.non defective,  2nd. defective)+P(1st. defective,  2nd. non defective)+P(1st. defective,  2nd. defective)=
0.178+0.178+0.022=0.378


Answer: 0.378

You might be interested in
The revenue each season from tickets at the theme part is represented by t(x) = 5x. The cost to pay the employees each season is
Over [174]

Answer:  D. 15

Step-by-step explanation:

Given : The revenue each season from tickets at the theme part is represented by t(x) = 5x .

The cost to pay the employees each season is represented by r(x) = (1.5)x.

From the given graph , we can see that at 4th season, the profit = 15

Hence, the estimated profit after four seasons. =15

8 0
1 year ago
Rameen’s heating bill is $5.42 per month plus $1.08 per therm. How many therms can Rameen use if he wants his heating bill to be
hammer [34]

Write and solve an inequality:

Total(t) = $5.42 + ($1.08/therm)(t) ≤ $87.50.

First, subtract $5.42 from $87.50:  then ($1.08/therm)(t) ≤ $82.08

Next, divide both sides by $1.08 per therm:


t ≤ ($82.08) / ($1.08/therm) = 76 therms (maximum).  Thus, Rameen's usage could be [0,76] (therms).

3 0
2 years ago
Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened
jeyben [28]

Solution:

Consider the Given Isosceles Triangle

Considering the Possibilities

Case 1. When two equal angles are of 70°

 Let the third angle be x.

Keeping in mind , that sum of Interior angles of Triangle is 180°.

70° + 70° + x= 180°

140° +x= 180°

x= 180°- 140°

x= 40°

Case 2:

When an angle measures 70°, and two equal angles measure x°.

Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.

70° + x° + x° = 180°

⇒  70° + 2 x° = 180°

⇒ 2 x° = 180° -  70°

⇒ 2 x° = 110°

Dividing both sides by 2, we get

x= 55°


5 0
1 year ago
PLS HELP, 50 POINTS!!!
Sedaia [141]

Answer:

Part A: From 0 to 2 seconds, the height of the water balloon increases from 60 to 75 feet, therefore the water balloon's height is increasing during the interval [0,2]

Part B: From 2 to 4 seconds, the height of the water balloon stays the same at 75 feet, therefore the water balloon's height is the same during the interval [2,4] From 10 to 12 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [10,12] From 12 to 14 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [12,14] 

Part C: The interval, [4,6] of the domain is when the water ballon's height decreases the fastest. The interval [4,6] decreases by 35 feet. The two other intervals that decrease are [6,8] and [8,10] which both have the same slope. They decrease by 20 feet. Therefore, this helps us conclude that the interval [4,6] decreases the fastest because 35 feet is a more significant decrease than 20 feet. 

Part D: I predict that the height of the water balloon at 16 seconds is 0 feet. This is because at 10-14 seconds, the water balloon's height is 0 feet. In read-world situations, if the water balloon is on the ground which is 0 feet, it stays on the ground due to gravity. 

Step-by-step explanation:

I hope this helps! I also do not know if it is all correct but I did research and everything so hopefully it is correct! Good luck!

8 0
2 years ago
Read 2 more answers
We suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in y
ANTONII [103]

Answer:

D) a chi square test for independence.

Step-by-step explanation:

Given that we  suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in years), so we choose a random sample of drivers who have similar automobile insurance coverage and collect data about their ages and insurance premiums.

We are to check whether two variables insurance premiums and driving experience are associated.

Two categorical variables are compared for different ages and insurance premiums.

Hence a proper test would be

D) a chi square test for independence.

8 0
1 year ago
Other questions:
  • A restaurant uses 4 pounds of potatoes for a party of 12 people. If they are cooking potatoes for a party of 60 people, what sho
    10·1 answer
  • Consider parallel lines cut by a transversal. Explain which theorems, definitions, or combinations of both can be used to prove
    6·2 answers
  • A bag has six balls labeled
    11·2 answers
  • A coat was originally priced at $50. It went on sale for $35. What was the percent that the cost was discounted?
    12·1 answer
  • Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?
    8·2 answers
  • Benson played 12 games of trivia. He had
    5·1 answer
  • tom has 34 students in his class. 20 of them run around The track. 18 of them jump rope. How many do both?
    15·1 answer
  • An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the numbe
    12·1 answer
  • After being rearranged and simplified which equation cannot be solved using the quadratic formula?
    7·2 answers
  • A survey of 250 households showed 26 owned at least one snow blower. Find a point estimate for p, thepopulation proportion of ho
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!