Answer:
0.20
Step-by-step explanation:
Given : The number of side dishes for the lunch menu =6
The number of ways to select 3 dishes from 6 :
Total outcomes :
If applesauce and broccoli is already selected , then we need to select only one dish out of remaining 4 dishes.
Number of ways to select 1 dish from 4 :
Favorable outcomes:
Now, the theoretical probability that applesauce and broccoli will both be offered on Monday :-
Hence, the theoretical probability that applesauce and broccoli will both be offered on Monday = 0.20
Step-by-step explanation:
9514 1404 393
Answer:
-6
Step-by-step explanation:
The average rate of change on the interval [1, 3] is ...
m = (g(3) -g(1))/(3 -1) = (-20 -(-8))/2 = -6
The average rate of change is -6 on the interval from 1 to 3.
Answer:
The area of the warning table is approximately 372.09 cm^2
Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
The paper would be 112589991 km thick if folded 50 times.
Step-by-step explanation:
Step 1; The sheet is 
mm thick which equals 0.1 mm. Every time it is folded it doubles in thickness. So if folded once it becomes 0.2 mm thick, if folded thrice it becomes 0.4mm thick.
Thickness if folded once = 
× 0.1 mm
thickness if folded twice = 
× 0.1 mm
Thickness if folded thrice = 
× 0.1 mm.
So if the paper is folded nth fold it would be 
× 0.1 mm thick.
Step 2; Using the above formula, if the paper is folded 50 times the thickness would be equal to 
× 0.1 mm = 112,589,990,684,262.4 mm.
1 km is equivalent to 
mm so 112,589,990,684,262.4 mm = 112,589,990.6842624 km which is rounded off to 112589991 km.
