The standard deviation for the number of times an odd number is rolled is 15.8
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Die = regular six-sided die
n = 1000
The probability of rolling an odd number is:
p = 1/2 = 0.5
The standard deviation is then calculated as;

This gives

Evaluate the products

Evaluate the root

Hence, the standard deviation is 15.8
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Answer:

Step-by-step explanation:
Given


Required
Determine Y'
Y' can be solved by multiplying the scale factor by Y
i.e.

For, the x coordinates.

Where




For the y coordinates:

Where




Hence:

Answer:
See below in bold.
Step-by-step explanation:
1. The 3 angles in a triangle add up to 180 degrees.
So x = 180 - (55 + 25)
= 180 - 80
= 100 degrees.
2. The 4 angles in a quadrilateral add up to 360 degrees,, so
3x + 127 + 54 + 119 = 360
3x + 300 = 360
3x = 360 - 300
3x = 60
x = 20 degrees.
3. Exterior angle
= 94 + 42
= 136 degrees.
26
38
+52
---------
116
Add all of the numbers because they are like-terms (because they are all ounces)
he made 8 ounce servings, so 116/8 = 14.5 there are 4 ounces left
2194/10000 using prime factorisation method