volume of a cone = (1/3)*pi*r^2*h
180 = pi(r^2)h
180/pi(r*2) = h
So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.
Then third card being spades would be 11 / 50
Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49
Fifth card would be 9 / 48.
So the probability of next three cards being spades would be

Hope this helps.
I would feel better if you'd explain how you "know" that a "same-day" ticket is $15.
"<span>The combined cost of one advance ticket and one same-day ticket is $35." This would imply that the cost of one advance ticket is $(35-15), or $10.
Check by substitution to determine whether $15 and $10 are correct. If not, please show your work, so that someone else or I could step back in and help.
</span>
If is
x > 2 or x < 7 ⇒ x is any real number
If is
x > 2 and x < 7 ⇒ 2 < x < 7
A set of all numbers that are greater than 2 and less than 7.
Look at the picture.
Answer:
1. 
2. 
3.
Step-by-step explanation:
<u>QUESTION 1</u>
The given data set for the expenditure is

The formula for calculating the mean is given by,

We need to add all the expenditure and divide by the total number of days.

This gives us,

to the nearest hundredth.
<u>QUESTION 2</u>
The standard deviation of the data set is given by the formula;

This implies that,

This will give us,




to the nearest hundredth,
.
<u>QUESTION 3</u>
The variance is the square of the standard deviation.


To the nearest hundred gives,
