Answer:
It will take 1 5/7 hours
Step-by-step explanation:
3/4 of an hour is;
3/4 * 60 minutes = 45 minutes
3 1/2 acres is done in 45 minutes
8 acres will be done in x minutes
Thus, mathematically;
3 1/2 * x = 8 * 45
7x/2 = 360
7x = 2 * 360
7x = 720
x = 720/7 minutes
Let us convert this to hours
That will be;
720/7/60 = 720/(60 * 7) = 720/420 = 12/7
= 1 5/7 hours
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
The period of is .
Recall that and both have periods of . This means
Replacing with , we have
In other words, if we change by some multiple of , we end up with the same output. So has period .
Similarly, has a period of ,
We want to find the period of , such that
On the left side, we have
and
So, in terms of its period, we have
and we need to find the smallest positive such that
which points to , since
Answer:
a) 0.076
b) 0.5
c) 0.084
d) 0.25
e) 0.00024
f) 0.156
Step-by-step explanation:
a) In an ordinary deck there are 4 aces. The probability of getting an ace is given by:
n: options for an ace = 4
N: total number of cards = 52
The probability is 7.6%
b) On the first 100 positive integers, there are 50 odd integer numbers. Then you have:
The probability of getting an odd number is 50%
c) From a total of 365 day in the year, May has 31 day. Then you have:
The probability is 8.4%
d) In this case you have two events. To get an odd number with the sum of the number of two dices you need and odd number in one dice and a pair number in the other dice.
The probability is the product of the occurrence of both events. The probability for an odd number is 1/2 and for a pair number is 1/2.
The probability is 25%
e) To obtain Head 6 times in a row, the probability is:
Probability of 0.024%
f) To get Head 4 times from 5 flights, you first calculate the probability for 1 head in five flips:
There are 5 forms of getting 4 Heads for 5 flips, then you have:
Te probability is 15.6%