Step-by-step explanation:
1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things
2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!
3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!
Answer:
The correct answer is last option 3√2 units
Step-by-step explanation:
From the figure we can see that two small right angled triangle.
These two triangle combined to form a large right angled triangle.
<u>To find the value of x</u>
Consider the small triangle with hypotenuse x and one side 3 units.
The angles of this triangle be 45°, 45° and 90°, then the sides are in the ratio 1 : 1 : √2
Therefore we can write,
3 : 3 : x = 1 : 1 : √2
x = 3√2
The correct answer is last option 3√2 units
Answer:
1/80 of the agency's employees have PhDs.
Step-by-step explanation:
Given that:
Total number of employees = 4000
Number of employees with bachelors degree = 1000
Fraction of employees with graduate degree = 1/4 of 1000 = 250
1/5 of the employees with graduate degrees have PhD.
Number of employees with PhDs = 1/5 of 250 = 50
Now,
Fraction of PhD employees to total employees = 
Hence,
1/80 of the agency's employees have PhDs.
Answer:
45/8
Step-by-step explanation:
When x is 1 and y is 10
x(10) = y
When x is 2 and y is 12
x(6) = y
when x is 4 and y is 16
x(4) = y
When x is 6 and y is 20
x(4) - 4 = y
hope this helps