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Rzqust [24]
3 years ago
5

9. Which of the following is an example of the Commutative Property of Addition? (1 point)

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:

12+4=4+12

2+7+0=2+7

17+(-17)=0

Step-by-step explanation:

first one is clear

second one is a associative property

third onw can be because 2+7+0 is 14 and 2+7 is also 14

17 +(-17) is 0 and the other side it is zero

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Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 79 and a standard
Romashka-Z-Leto [24]

Answer:

There is a 1.1% chance that a randomly chosen junior will have a score above 95.

Step-by-step explanation:

Calculate the z-score of 95 given a normal distribution with mean 79 and standard deviation of 7. The z-score is a probability (area under the distribution curve) of a value on a normalized random variable that has a distribution with mean 0 and standard deviation of 1. To get such a transformation, you need to subtract the mean and divide by the standard deviation, like this:

z(x) = \frac{x-\mu}{\sigma}\\z(95)=\frac{95-79}{7}=2.29

Based on this z-value, use z-score tables to look up the area under the curve. This will be the probability that randomly chosen values are lower (or higher, depending which table you are using) than this z-score. Be careful to apply the correct table. I found the following probability that a random z value is higher that the z-score 2.29: 0.011, or 1.1%. This means that there is a 1.1% chance that a randomly chosen junior will have a score above 95.

3 0
4 years ago
A savings account gas 3% interest rate
Orlov [11]
I can help with the second part of your question. The first part is missing something.

To find the amount of interest, just multiply the amount by the given percent.

200 x 0.03 = 6

150 x 0.03 = 4.5

6 - 4.5 = 1.5 is the additional amount of interest.
6 0
3 years ago
Hey guys! Leave the answer in terms of pi :)
DaniilM [7]
A) if the diameter is 13 the radius is 6.5
(6.5 \times 6.5) \times \pi = 42.25\pi  \\  =  132.7323
b)if the diameter is 6 the radius will be 3
(3 \times 3) \times \pi = 9\pi  \\ = 28.27433
hope this helps
8 0
4 years ago
Combine like terms. What is a simpler form of the expression?<br> -3(-4y+3)+7y
kupik [55]

Answer:

19y - 9

Step-by-step explanation:

-3(-4y + 3) + 7y =

Distribute the -3.

= 12y - 9 + 7y

Combine like terms: 12y + 7y

= 19y - 9

8 0
3 years ago
Please help explanation if possible
Zielflug [23.3K]

Answer:

length = 48 feet , width = 32 feet

Step-by-step explanation:

Using

2W + 2L = 160 with W = L - 16 , then

2(L - 16) + 2L = 160 ← distribute and simplify left side

2L - 32 + 2L = 160

4L - 32 = 160 ( add 32 to both sides )

4L = 192 ( divide both sides by 4 )

L = 48

Substitute L = 48 into W = L - 16

W = 48 - 16 = 32

Thus length = 48 feet and width = 32 feet

3 0
3 years ago
Read 2 more answers
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