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
Zarrin [17]
3 years ago
9

(adapted from Ross, 2.37) Your math professor gives you a set of 10 problems and tells you that the final exam will consist of a

random selection of 5 of them. If you figured out how to do 7 of the problems, what is the probability that you answer correctly (a) all 5 problems? (b) at least 4 of the proble
Mathematics
2 answers:
frutty [35]3 years ago
5 0

Answer:

Mr. Martin’s math test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points.

Let x = the number of questions worth 5 points.

Let y = the number of questions worth 2 points.

x + y = 35,

5x + 2y = 100

How many problems of each point value are on the test?

10 problems worth 5 points and 25 problems worth 2 points

15 problems worth 5 points and 20 problems worth 2 points

20 problems worth 5 points and 15 problems worth 2 points

25 problems worth 5 points and 10 problems worth 2 points

A is the correct answer

soldier1979 [14.2K]3 years ago
3 0

Answer:

(a) 1/2

(b) 9/10

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

(a) Number of possible outcomes = 5 questions, number of total outcomes = 10 questions

Probability (I answer all 5 problems correctly) = 5/10 = 1/2

(b) Probability (I answer at least 4 of the problems correctly) means I either answer 4 of the problems or all 5 problems correctly = 4/10 + 5/10 = 9/10

You might be interested in
Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
asambeis [7]

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

Divide both sides by 6

6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

7 0
2 years ago
Help me (question attached)
Verizon [17]

Answer:

a. ⅓ × 4

b. ⅖ × 3

c. ⅙ × 3

Step-by-step explanation:

i think

6 0
2 years ago
Y=x^2-3x-6<br><br>x+y=2<br><br><br>Help 50 Points!!! Show Work
Alborosie
X + y = 2 —> y = 2 - x
insert to first equation
2-x=x^2-3x-6
x^2 - 3x - 6 - 2 + x = 0
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2
5 0
2 years ago
Read 2 more answers
I know how to set it up but just don’t remember how to solve it. V stands for volume.
Tasya [4]

Answer:

29.5788

Step-by-step explanation:

Multiply all of the terms together

5 0
3 years ago
Read 2 more answers
What is y = x2 + 4x + 7 in vertex form
Makovka662 [10]

Answer:

y = (x + 2)^{2}  + 3

6 0
3 years ago
Other questions:
  • What multiplies to 10 and adds to 8
    13·2 answers
  • -3x + 4y = -6
    11·1 answer
  • Given: f(x) = 8 - 4 x
    8·1 answer
  • What is the length of cd
    15·1 answer
  • Need Help!!!! Not sure how to solve this and I need an answer quick!
    5·1 answer
  • Tan C= <br> Help help help
    9·2 answers
  • Interval of [0⁰,360⁰]<br><br><br>3 sin² tan 0-3 sin²0 = 0<br><br><br>20 points​
    5·1 answer
  • The sum of two numbers is -33 and their difference is -1. Find the numbers. *
    6·1 answer
  • How many two digit number divisible by 4​
    9·1 answer
  • PLEASE ANSWER THIS ITS URGENT
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!