Z score = (x -mean) / standard deviation.
For this problem X = 50 cm.
Z-score = (50 - 49.2) / 1.8
Z score = 0.8 / 1.8
Z score = 0.44
Look up 0.44 on a z-score table.
0.44 = 0.6700
0.67 x 100 = 67% will be 50 cm or longer.
Answer:
-9
Step-by-step explanation:
We are summing the 3rd 4th and 5th terms because k goes from 3 to 5
The third term is
-2(3) +5 = -6+5 = -1
The fourth term is
-2(4) + 5 = -8+5 = -3
The fifth term is
-2(5) +5 = -10 +5 = -5
Add these 3 terms together
-1+-3+-5 = -9
20.9 ft
This is a right triangle trigonometry question because N is 90 degrees. MN is adjacent to M and LM is the hypotenuse. Adjacent any hypotenuse use the cosine function.

plug in known values

switch cos(20) and x using the products property

plug into calculator to get 20.9 ft
Yes, the partition gives the two brothers equal shares.
Step-by-step explanation:
Step 1:
Assume the entire field has an area of B. So one brother takes
,
, and
So we need to calculate how much this brother takes in terms of B.
To do this we calculate how much
is.
Step 2:
To add
,
First take the LCM of the denominators 12, 6, and 4
The LCM is 12, we multiply the denominator to get the LCM value, this same value is multiplied to the numerator too.

Step 3:
One brother gets
, so we need to calculate how much the other brother gets.
The other brother's share = 
So both the brothers get equal shares
Answer:
The length of the ramp must be at least 14.71 feet
Step-by-step explanation:
Given


<em>See attachment for complete figure</em>
Required
Length of the ramp (z)
To do this, we consider sin of angle A (
).
So, we have:

This gives:

Make z the subject



<em>The length of the ramp must be at least 14.71 feet</em>