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
Talja [164]
3 years ago
12

Three noncollinear points determine a triangle. How many triangles can be formed with 8 points, no three of which are collinear?

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0
Correct answer is A.

C^8_3= \frac{8\times7\times6}{3\times2\times1}=56
You might be interested in
Rebecca has 6 yards of ribbon. It takes 3/8 yard to wrap one package. How many packages can rebecca wrap​
Nastasia [14]

Answer:

16

Step-by-step explanation:

6 x 8 = 48

48 / 3 = 16

Rebecca can only wrap 16 packages with 6 yards of ribbon.

8 0
2 years ago
What are the measures of angles 1, 2, and 3? 30° 60° 120° 150°
Annette [7]

Answer:

Angle 1: 150°

Angle 2: 30°

Angle 3: 150°

Step-by-step explanation:

1 is 150° because a line is 180° total, and 180-30= 150°

2 is 30° because they are the same angle just reflected across the y-axis.

3 is 150° because they are the same angle as 1 just reflected across the x-axis.

3 0
2 years ago
17. The sum of interior angles in a polygon is related to its number of sides.
bonufazy [111]

s = 1800°

To find the sum of interior angles in a polygon you can use the following equation

(sides - 2) * 180\\\\(12 - 2) * 180\\(10) * 180\\1800\\

If this helped you a Brainliest would be appreciated!

6 0
3 years ago
Read 2 more answers
The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m
castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Mean of 10 minutes:

This means that m = 10, \mu = \frac{1}{10} = 0.1

A. What is the probability that the arrival time between customers will be 7 minutes or less?

P(X \leq x) = 1 - e^{-\mu x}

P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)

P(X \leq x) = 1 - e^{-\mu x}

P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034

P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592

P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0
3 years ago
Find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
777dan777 [17]

Answer:

334 in^2.

Step-by-step explanation:

The surface area = area of the top prism + area of the bottom - 2 * area of the base of the  top smaller prism

= 2(5*3 + 5*3 + 3*3) + 2(9*7 + 9*5 + 7*5) -  2* 3*5

= 2* 39 + 2*143 - 30

= 334

3 0
2 years ago
Other questions:
  • The exchange rate of u.s dollers to British pounds (£)is.63. You have $4000 to convert to British pounds. How many British pound
    12·1 answer
  • Pls help
    8·2 answers
  • What is the length of AC?<br><br> 3 ft<br> 4 ft<br> 9 ft<br> 18 ft
    11·1 answer
  • I buy 5 apples on Monday, and 7 more on Tuesday. How many have I bought in total?
    14·2 answers
  • A circle has a diameter of 10 yards. What is it’s circumference? Use 3.14 for , and do not round your answer. Be sure to include
    10·1 answer
  • Solve the system of linear equations by graphing. y = –5/2x – 7 x + 2y = 4 What is the solution to the system of linear equation
    8·1 answer
  • 2 1/3+5 5/16+ 2/7 is approximately equal to?
    15·2 answers
  • Help please i’m begging
    8·1 answer
  • -3-6v=-3(1-4y) + 2v
    9·1 answer
  • Which of these functions are linear?<br> Choose all that apply.<br> I need help pleaseeee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!