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3 years ago

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.

$C^8_3= \frac{8\times7\times6}{3\times2\times1}=56$

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Rebecca has 6 yards of ribbon. It takes 3/8 yard to wrap one package. How many packages can rebecca wrap

Nastasia [14]

Answer:

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