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.
The first one is 621 and the second one is C
Excuse my awful triangle drawing skills, haha..
So essentially you need to find the perimeter which is done by adding the lengths of the sides.. this gives you 22ft.
Then for part b you need to convert 22ft to yards which gives you 7.3 yards.
Since you can only buy a whole number of yards, you'll actually need 8 yards.
So if the boarder is $8.75 per yard, and you need 8 yards, how much would it cost?
Hope this was helpful.
The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
2. an=20+an−1 and a1=145
she starts with 145 so a1=145 and then adds 20 every month: an=20+an−1