Answer:
0.6517
Step-by-step explanation:
Given that in a certain game of chance, your chances of winning are 0.3.
We know that each game is independent of the other and hence probability of winning any game = 0.3 (constant)
Also there are only two outcomes
Let X be the number of games you win when you play 4 times
Then X is binomial with p = 0.3 and n =4
Required probability
= Probability that you win at most once
= 
We have as per binomial theorem
P(X=r) = 
Using the above the required prob
= 0.6517
Where’s your z? incomplete question
<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>
<em><u>Solution:</u></em>
Given that,
The dimensions of the swimming pool and the gym are proportional
The pool is 75 feet long by 60 feet wide
To find: set of possible dimensions for the gym
To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60
<em><u>One set of dimensions are:</u></em>
75 x 2 = 150
60 x 2 = 120
The dimensions of the gym floor could be 150 feet by 120 feet
<em><u>Other set of dimensions:</u></em>
75 x 3 = 225
60 x 3 = 180
The dimensions of the gym floor could be 225 feet by 180 feet
<span>-2i + (9 − 3i) − (6 − 10i)
-2i - 3i + 10i + 9 - 6
5i + 3
3 + 5i</span>