1 second = 0.0167 minute
540 seconds = 540 * 0.0167 ≈ 9 minute
Hope this helps :)
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
Answer:
The number x is -3
Therefore x=-3
Step-by-step explanation:
Given problem is "Three added to eight times a number is the same as three times the value of two times the number -1"
Let x be the number
It can be written as

( applying the distributive property )


subtracting (6x-3) on both sides we get


( ading the like terms )


Therefore x=-3
The number x is -3
Answer:
4 liter detergent
Step-by-step explanation:
7.99/4=1.9975
16.99/6.5=2.6138
Answer: The required probability is 0.414.
Step-by-step explanation:
Since we have given that
Probability of taxis in a certain city by Blue Cab P(B)= 15%
Probability of taxis by Green Cab P(G) = 85%
Let A be the event that eyewitness said that vehicle was blue.
P(A|B)=0.80
P(A|G)=0.80
P(A'|B)=0.20=P(A'|G)
Using the "Bayes theorem":
Probability that the taxi at fault was blue is given by

Hence, the required probability is 0.414.