Answer:
The correct option is commutative property.
Step-by-step explanation:
The expression that Renee is simplifying is:

It is provided that, Renee recognizes that 7 and
are reciprocals, so she would like to find their product before she multiplies by
.
The associative property of multiplication states that:

The commutative property of multiplication states that:

The distributive property of multiplication states that:

The identity property of multiplication states that:

So, Renee should use the commutative property of multiplication to find the product of 7 and
,

Thus, the correct option is commutative property.
Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
Step-by-step explanation:

Answer:
3
Step-by-step explanation:
In this expression, the first term is <em>2x</em>, then <em>4y, </em>then 8-2 (which simplifies to 6).
Answer:
The solution is g = 4
Step-by-step explanation:
* 6(-2g - 1) = -(13g + 2)
- We need to solve it to find the value of g
- Let us simplify each side and then solve the equation
∵ 6(-2g - 1) = (6)(-2g) - (6)(1)
∴ 6(-2g - 1) = -12g - 6
∴ The simplify of 6(-2g - 1) is -12g - 6 ⇒ (1)
∵ -(13g + 2) = -13g - 2
∴ The simplify of -(13g + 2) is -13g - 2 ⇒ (2)
- Equate (1) and (2)
∴ -12g - 6 = -13g - 2
- Add 13g to both sides
∴ g - 6 = - 2
- Add 6 to both sides
∴ g = 4
* The solution is g = 4