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r-ruslan [8.4K]
3 years ago
7

In a game of chance, the probability of winning a $50 is 40% and the probability of losing a $50 prize is 60%. what is the expec

ted value of the prize in the game? $15 $25 $0 -$10
Mathematics
1 answer:
melamori03 [73]3 years ago
4 0
To calculate expected value,
We can add up the probability of all possible events.
The 2 possible events are either winning $50 or losing the prize, which is $ - 50
Expected value =
50 x 40 % + (-50) x 60%
= $-10
So the answer is $-10
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A triangle has angles that measure 8xº,
romanna [79]

Answer:

8xº = 90º

6xº = 67.5º

2xº = 22.5º

x = 11.25°

Step-by-step explanation:

The sum of angles in a triangle is 180°

8xº + 6xº + 2xº = 180º

16xº = 180º

x = 11.25º

8xº = 11.25(8) = 90º

6xº = 67.5º

2xº = 22.5º

Hope this helps :)

3 0
3 years ago
(Problem on image.)...
ANEK [815]
Hey there! :) 

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem! 

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in! 

a² + b² = c²  → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

\sqrt{b^2} =  \sqrt{300}

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~
7 0
3 years ago
These are the means and standard deviations for samples of prices from two
marysya [2.9K]
Its Letter B!!!!!!!!!!!!
7 0
1 year ago
9
Gwar [14]

Answer:

It is A and I am positive its A

Step-by-step explanation:

6 0
3 years ago
A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
3 years ago
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