The probability would be 1/10.
These would be independent events, so we can simply multiply their probabilities:
1/2(1/5) = 1/10.
Answer:
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<u>Given:</u>
A composite figure made up of a rectangle and two pentagons.
<u>To find:</u>
The area of the composite shape.
<u>Solution:</u>
If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.
The area of a pentagon
sq units.
The area of 2 such pentagons
square units.
The rectangle has a length of 14 units and a width of 8 units.
The area of a rectangle 
The area of the rectangle
square units.
The area of the composite shape is the sum of the individual areas of the different shapes.
The area of the composite shape
sq units.
The area of the composite shape is option A. 332 sq units.
Answer:
The required probability is 0.3717.
Step-by-step explanation:
Consider the provided information.
There are approximately 100 species of venomous snakes, but only about 12 have a deadly bite.
zoo randomly selects one snake from each of five different species to show visitors.
The total number of ways to select 5 different species out of 100 are:

We need to find the probability that exactly one of the five snakes shown is deadly.
That means out of 12 deadly bite we need to select only 1.
Thus, the number of ways are:

Hence, the required probability is:

The required probability is 0.3717.
Since we know what time Dennis' sister finished babysitting, we can calculate how much money she's made since 9p.m. Between 9 and 11 is 2 hours, so we know she made $16 ($8 per hour x 2 hours).
That means she made $22 before 9p.m. ($32 total - $16 made past 9p.m.)
So, you just need to figure out how many hours $22 is worth and subtract that number of hours from 9p.m. That will get you to the starting point of babysitting.
$22 / $5.50 = 4 so we know that $22 is 4 hours' worth of babysitting.
9p.m. - 4 hours is 5p.m., so we know that Dennis' sister started babysitting at 5p.m.
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