Answer:
2/9
Step-by-step explanation:
given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.
We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.
No of cards = 3
Prob of selecting 5 from 3 cards = 
When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6
Prob of getting 5 =
Prob of getting less than 5 =
Since these two events are independent,
the probability that she selects the 5, and rolls a number less than 5
= Product of probabilities
= *
=
Answer:
Denote the O, A, B, C, D as shown in attached image:
O is center of circle.
OA = OC = OD = radius of circle
=> triangle OAD is isosceles
=> BA = BD = 12.8
Applying Pythagorean theorem:
OB = sqrt(OA^2 - BA^2) = sqrt(15.1^2 - 12.8^2) = 8.0
=> x = OC - OB = 15.1 - 8.0 = 7.1
Hope this helps!
:)
Answer:
x = -5.39
Step-by-step explanation:
x + (−2.4) = −7.79
x = −7.79 + 2.4
x = -5.39
Step-by-step explanation:
<em>Given</em>
<em>radius </em><em>(</em><em>r) </em><em> </em><em>=</em><em> </em><em>9</em><em> </em><em>cm</em>
<em>Area </em><em>of </em><em>the </em><em>circle </em><em>(</em><em>A) </em><em> </em>
<em>=</em><em> </em><em>π</em><em>r²</em>
<em>=</em><em> </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>*</em><em> </em><em>9</em><em>²</em>
<em>=</em><em> </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>*</em><em> </em><em>8</em><em>1</em>
<em>=</em><em> </em><em>2</em><em>5</em><em>4</em><em>.</em><em>3</em><em>4</em><em> </em><em>cm²</em>
You have 5 people and 5 seats, so there can't be any empty seats
this means you have to calculate the permutations of 5 objects
5!=5*4*3*2*1=120
