Answer:
5. 5.8
6. 6
7. 6
Step-by-step explanation:
5. mean - add all values and divide by the number of values
2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75
mean = 75/13 = 5.8
6. median - middle value of values written in ascending order.
2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10
median = 6
7. mode - value that occurs most times
mode = 6
The answer is <span>c. 16x2 + 24xy + 9y2.
Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.
So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x
b² = 9y²
b² = (3y)²
b = 3y
a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT
d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x
b² = 10y²
b² = (y√10)²
b = y√10
a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT
So, c) is correct answer
<span>expressions for the mean and standard deviation of y if this variable is determined by the expression y
</span>
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Answer:
?
Step-by-step explanation:
Answer:
height (h) = 5 cm
Step-by-step explanation:
Volume of prism in terms of h (height):
Multiply both sides by 3
Divide both sides by s^2
Find height (h) given V = 60 cm³ and side length (s) = 6 cm. Plug the values into the formula above:
Height = 5 cm
