Assuming the coin is fair, probability of getting one tail is 50%, probability of getting two tails in a row is 50%*50% = 25% or 1/4
Answer:
8820 ways
Step-by-step explanation:
Given that :
Selecting 4 pairs of pant from 8 available and selecting 5 shirts from 9 available
Using combination :
4 pants from 8 = 8C4
5 shirts from 9 = 9C5
Recall:
nCr = n! / (n-r)! r!
8C4 * 9C5 = [8! /(8-4)!4!] * [9! /(9-5)!5!]
8C4 * 9C5 = (8! /4!4!) * (9! /4!5!)
8C4 * 9C5 = 70 * 126
8C4 * 9C5 = 8820 ways
The value of the year at the end of 2025 will be given by:
A=P(1+r/100)^n
where:
A=future value
P=principle
r=rate
n=number of terms
hence for the data given;
p=35000
R=5.5
n=(2025-2017)*2=16
Thus
A=35000(1+5.5/100)^16
A=$82, 434. 20
The price for each instructor will be the same at 3 hours. How I determined this answer:
First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:
Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)
Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)
Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:
I created a graph that looked like this:
Hours: 1 2 3
Ieda: 19.50 30.50 41.50
Thanh: 20.50 31.00 41.50
Here's how I figured out the price for each hour:
Ieda:
Hour 1 (including initial price):
$11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
$19.50 + $11.00 = $30.50
Hour 3 (excluding initial price):
$30.50 + $11.00 = $41.50
Thanh:
Hour 1 (including initial price):
$10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
$20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
$31.00 + $10.50 = $41.50
So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)
I hope I was able to help you! :)
Answer: the tan. Of 60 is .3200
The cos. Of 45 is .5253
Hope this helps :)
Step-by-step explanation:
