Its 0.5793 with the bar over the 3
Odds of coin landing on heads 1 time are 1/2(what can be written as 2^-1)
Odds of coin landing on heads 10 times are (1/2)^10 = 2^-1^10=2^-10
Answer:
1. 
2. 
3.
.
Step-by-step explanation:
Let us assume a point (x,y) in the co-ordinate plane on which the transformations will be applied.
Now, we know that 'rotation' is a transformation that turns that image to a certain degree about a point.
So, the given transformations gives us the forms as:
1. When we rotate an ( x,y ) by 90° about origin counter-clockwise, the resultant co-ordinate is ( -y,x ).
So, the function form is
.
2. When we rotate an ( x,y ) by 180° about origin counter-clockwise, the resultant co-ordinate is ( -x,-y ).
So, the function form is
.
3. When we rotate an ( x,y ) by 270° about origin counter-clockwise, the resultant co-ordinate is ( y,-x ).
So, the function form is
.
Answer:
33
Step-by-step explanation:
If the speed of boat in still water iss 9 mph and takes 1.5 miles to go and come 4 miles uptream and downward then the current of the river is 9.24 mph.
Given that the speed in still water be 9 mph, time to travel 4 miles upstream and downward is 1.5 hours.
We are required to find the speed of current of the river.
let the speed of current be c mph.
Effective speed in downstream=9+c
Effective speed in upstream=9-c
Total time=1.5 hours.
Total distance=4 miles.
Time for upstream stream+ time for downward stream=1.5 hours
2/(9+c)+2/(9-c)=1.5
18-2c+18+2c=1.5(9+c)(9-c)
36=1.5(81-
)
36=121.5-1.5
1.5
=121.5-36
=85.5
c=9.24 mph.
Hence the speed of the current of the river is 9.24 mph.
Learn more about speed at brainly.com/question/4931057
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