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kipiarov [429]
2 years ago
6

During Raul’s exercise program, he recorded how much weight he lost or gained each week. After 5 weeks, Raul had collected the d

ata shown in the chart. He thought, “I can use the Inverse Property and the Identity Property to help me find out how much my weight has changed.”
week
1 -3
2 -2 1/2
3 +3
4 -1 1/2
5 +1
Why is Raul’s reasoning incorrect?

A. The total of Raul’s numbers is not 0.

B. Raul’s list of numbers does not include 0.

C. Raul’s list of numbers includes opposites.

D. Raul cannot add any of the numbers in his list to get 0.
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
7 0

Answer: A.)The total of numbers is not 0

Step-by-step explanation:

if you look at the data you'll see that there is only one pair that you can use the inverse property equation on but they rest aren't exact opposites.

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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
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Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

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