Answer:
Step-by-step explanation:
Hello,
(a) Peter cycle at an average speed of x km/h
it means that he is doing x km in 1 hour
so to do 40 km he needs 40/x hour
(b) it means that he was doing x-5 km/h
so it took 40/(x-5) hour
(c) 1 hour 20 minutes correspond to 1+20/60=1+1/3=4/3 hour as 1 hour is 60 minutes
so we can write
40/(x-5)=40/x+4/3
(d)
the speed is positive so we take the positive solution which is 15
the speed is 15 km/h
hope this helps
do not hesitate if you need more information
Answer:
0.00111
Step-by-step explanation:
Since the modem receiver takes a majority vote of the five
received bits to estimate the input signal, it will only make a wrong decision if 3, 4 or 5 of the 5 bits received are wrong.
Given that the channel changes an input bit to its complement with probability p =1/10 and it does so independently of its treatment of other input bits, the probability of changing 3 bits out of five is 0.1*0.1*0.1 = 0.001, of changing 4 is 0.0001 and of changing 5 is 0.00001
So, the probability that the modem makes a wrong decision is 0.001+0.0001+0.00001 = 0.00111
The area of a circle is pi*r^2
First find the biggest circle's area
then find the little circle's area
Big circle area:
The radius is 8 because on the graph, the small circle's radius is half of the big circle.
(note that this does NOT mean that one small circle is half of the big circle.
3.14*8^2=200.96 ft^2
Small Circle area:
The radius is 4 as shown on the graph
3.14*4^2= 50.24
Remember that there are two of them so the of the 2 small circles would be 100.48 ft^2
Shaded Region:
All you have to do now is to subtract the 2 small circles from the big circle:
200.96-100.48=100.48
Answer: A. x + y = 75 B. She spends 25 minutes running and 50 minutes dancing every day. C. Yes it is.
Step-by-step explanation: B. She spends 25 minutes running and 50 minutes dancing every day, because if she dances for 25 more minutes then she runs then we can minus 25 from 75 which we get 50. Then we take the 50 a divide it by 2 because of the two categories dancing and running. So we know she spends 25 minutes running then 25 minutes dancing but we need to add the 25 minutes to dancing. So she spends 25 minutes running and 50 dancing. C. Yes it is because she already dances for 50 minutes a day so all she needs to do is workout for 10 minutes less so 65 minutes one day.
Im trying calm down dont yell at me
