Hi!
One deck of card has 52 cards, and in every deck there are 4 queens.
We will find the probability of pulling out the queen from the deck by diving the number of queens by the number of cards in the deck, like this:
4/52 = 1/13
Hope this helps!
Use photomath. Do not click on the link the other person which is actually a bot put.
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
Answer:
The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5
Step-by-step explanation:
Consider the infinite geometric series
1/5, 2/15, 4/45, 8/135...
With first term, a=1/5
common ratio, r = ⅔
The series converge because the common ratio, |r|<1.
The sum to infinity of a geometric series, S= a/(1-r)
S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5
Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.
So,
If you do some simple division, you will find how much each cm costs in each cake.
20cm cake = 67.5 cents/cm
25cm cake = 93.75 cents/cm
Assuming that you cannot order fractions of cakes, the best deal would be to order 5 of the 20cm cakes.
Cost = 13.50 * 5 = $67.50
You will have to pay $67.50 for the cakes if you want the best deal.