Answer:
4 3/5
Step-by-step explanation:
Answer:
x = 31.12
Step-by-step explanation:
First find the base (hypotenuse) of the smaller triangle (the isosceles triangle): Its three sides are 11, 11 and b. b can be found using the Pythagorean Theorem: b^2 = 11^2 + 11^2 = 242. Then b = √242, or b = approximately 15.56.
b (which is approximately 15.56) is the shorter leg of the large (right) triangle. The trig function needed to solve for x is the cosine:
adjacent side
cos 60 degrees = ----------------------
hypotenuse,
15.56
which becomes (1/2) = ------------
x
Solving this for x, we get: x = 2(15.56) = 31.12
Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302
Answer:

Step-by-step explanation:
Required
Determine an expression for the given statement
The expression can be rewritten as:
one-half * the cube of m subtracted by 4
Convert each statement to mathematical expressions:
One half = 
The cube of m = 
one-half * the cube of m = 
At this stage, we have:
subtracted by 4
This gives:


Hence, The corresponding expression is 
Answer:
80 is a multiple for all of those