Answer: 387 in base 10 to base 5 is 3022
Step-by-step explanation:
To convert 387 in base 10 to base 5, we would take the following steps
Firstly , we would divide the number to be converted by 5. The remainder forms the last digit of the number in base 5 while the quotient is divided again to get a new quotient and remainder. The new remainder forms the next digit to the left of the last digit. It continues till it gets to zero. Therefore,
387/5 = 77 remainder 2(last digit)
77/5 = 15 remainder 2(next digit to the left of the last).
15/5 = 3 remainder 0(next digit to the left)
3/5 = 0 remainder 3(next and final digit to the left)
Therefore, 387 in base 10 to base 5 is 3022
Answer:
a) P(z<-0.66) = 0.2546
b) P(-1<z<1) = 0.6826
c) P(z>1.33) = 0.9082
Step-by-step explanation:
Mean = 300
Standard Deviation = 75
a) Less than 250 hours
P(X<250)=?
z = x - mean/ standard deviation
z = 250 - 300 / 75
z = -50/75
z = -0.66
P(X<250) = P(z<-0.66)
Looking for value of z = -0.66 from z score table
P(z<-0.66) = 0.2546
b. Between 225 and 375 hours
P(225<X<375)=?
z = x - mean/ standard deviation
z = 225-300/75
z = -75/75
z = -1
z = x - mean/ standard deviation
z = 375-300/75
z = 75/75
z = 1
P(225<X<375) = P(-1<z<1)
Looking for values from z score table
P(-1<z<1) = P(z<1) - P(z<-1)
P(-1<z<1) = 0.8413 - 0.1587
P(-1<z<1) = 0.6826
c. More than 400 hours
P(X>400) =?
z = x - mean/ standard deviation
z = 400-300/75
z = 100/75
z = 1.33
P(X>400) = P(z>1.33)
Looking for value of z = 1.33 from z-score table
P(z>1.33) = 0.9082
Answer:
The 105th term of given sequence is 
.
Step-by-step explanation:
The given sequence is
It can be rewritten as
Here the first term is 0.5.
It is an arithmetic sequence because it has common difference.
The nth term of an AP is
where, 
is first term and d is common difference.
Substitute 
and 
in the above formula.
We need to find the 105th term of given sequence.
Substitute n=105 in the above equation.
Therefore the 105th term of given sequence is .
Answer:
<h2>10:00 Pm</h2>
Step-by-step explanation:
Take 17 away from 1:00 = 12:43
Take 17 away from 1:43 = 1:26
Take 17 away from 2:26 = 2:09
Take 17 away from 3:09 = 2:52
There we are: at the time which the watch says now.
Now let's see what the correct time should be:
at 12:43 it is really 1:00
at 1:26 it is really 2:00
at 2:09 it is really 3:00
at 2:52 it is really 4:00
However, it says the watch stopped 6 hours ago meaning that the time should be 10:00 as 4 + 6 = 10.
<h2>I'm always happy to help :)</h2>
Answer: 10y^4
Since it can go 10y^4(3y^4+1)
Step-by-step explanation:
