Answer:
The population standard deviation is 1.92.
Step-by-step explanation:
Population mean:
Sum of all values divided by the number of values. Thus:

Population standard deviation:
Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

The population standard deviation is 1.92.
Answer:
m∠U = 54°
m∠T = 72°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:
m∠S = m∠U
m∠S = 54°
m∠U = 54°
All angles in a triangle add up to 180°:
m∠S + m∠U + m∠T = 180°
54° + 54° + m∠T = 180°
108° + m∠T = 180°
m∠T = 72°
Transpose the equation:
8x+6y=30
First minus 8x from each side of the equation.
6y=30-8x
Then divide each side by 6.
y=5-1.33x or if you want the answer in exact form:
y=5-4/3x
The slope is 4/3 or 1.333.
Answer:
4 parts
Step-by-step explanation:
If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3
To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:
12 * 1/3 = 12/3 = 4
You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.
1440
because yea
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