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
Tatiana [17]
3 years ago
7

Irene made a mistake when she solved this inequality:

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0
She made a mistake in steps 3-4
You might be interested in
Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
oksian1 [2.3K]

Answer:

(x+1)2+(y−2)2=5

Explanation:

The general form for a circle with center  

(a,b) and radius r is XXX(x−a)2+(y−b)2=r2

With center  (−1,2) and given that  (0,0) is a solution (i.e. a point on the circle),according to the Pythagorean Theorem: XXX r 2=(−1−0)2+(2−0)2=5

and since the center is  (a,b)=(−1,2)by applying the general formula we get:XXX(x+1)+(y−2)2=5

Step-by-step explanation:

its already in the answer

3 0
3 years ago
The radius of the sphere is 10 units .what is the approximate volume of the sphere use π=3.14​
torisob [31]

Answer:

V≈4188.79

Step-by-step explanation:

The formula of the volume of a sphere is V=4/3πr^3

8 0
3 years ago
150 students in a tenth grade high school class take a survey about which video game consoles they own 60 students answer that o
Archy [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

150 students in a tenth grade high school class take a survey about which video game consoles they own. 60  students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out  of these, there are 20 who have both systems.

Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the  student has an XBOX. Based on this information, answer the following questions.

a) What is P(A), the probability that a randomly selected student has a Playstation?

b) What is P(B), the probability that a randomly selected student has an XBOX?

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he  or she has an XBOX?

Answer:

a) P(A) = 2/5

b) P(B) = 1/3

c) P(A and B) = 2/15

d) P(A | B) = 2/5

Step-by-step explanation:

Total no. of students = 150

No. of students having playstation = 60

No. of students having xbox = 50

No. of students who have both playstation and xbox = 20

a) What is P(A), the probability that a randomly selected student has a Playstation?

P(A) = No. of students having playstation/Total no. of students

P(A) = 60/150

P(A) = 2/5

b) What is P(B), the probability that a randomly selected student has an XBOX?

P(B) = No. of students having xbox/Total no. of students

P(B) = 50/150

P(B) = 1/3

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

The probability that a students has a Playstation and an Xbox is given by

P(A and B) = P(A)*P(B)

P(A and B) = (2/5)*(1/3)

P(A and B) = 2/15

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

The conditional probability is given by

P(A | B) = P(A and B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

Alternatively:

P(A | B) = P(A∩B)/P(B)

Where P(A∩B) is given by

P(A∩B) = No. of students who have both playstation and xbox/Total no. of students

P(A∩B) = 20/150

P(A∩B) = 2/15

P(A | B) = P(A∩B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

6 0
3 years ago
The measure of ABC is<br> A 150<br> B 140<br> C 90<br> D 100<br> E 120
Sav [38]

Answer:

Step-by-step explanation:

∠ABC = 180°-80° = 100°

4 0
3 years ago
Is four eighth closer to one or zero
Free_Kalibri [48]
It is in the middle because four eights simplifies to one half which is in between one and zero.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Help me to solve this
    12·2 answers
  • How do I express 9/5 as a sum of a whole number and a fraction
    7·1 answer
  • Someone help me with #19 pleasee!!
    10·1 answer
  • A student sketched some art on an 8 inch x 10 inch piece of paper. She wants to resize it to fit an 4 inch x 6 inch frame (as sh
    14·1 answer
  • Using traditional methods, it takes 9.5 hours to receive a basic flying license. A new license training method using Computer Ai
    9·1 answer
  • How do we do this? plzzz helppp​
    12·1 answer
  • What are the areas of the faces of the rectangular pyramid? Select all that apply. 12 in.2 24 in.2 30 in.2 20.8 in.2 60 in.2 61.
    9·2 answers
  • Plz help, will give brainliest.
    5·1 answer
  • 10x7+5=<br> Thanks! A lot
    9·2 answers
  • Original Price<br> Percent of Discount<br> Sale Price<br> $60<br> %<br> $45
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!