Simplify this expression; -15k-1+12+2k

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

5 0

3 years ago

HELP PLEASE ASAP???!!!!!! !!!!

storchak [24]

Answer:

your answer is C

Step-by-step explanation:

7 0

3 years ago

Is (-2, 6) a solution to this system of linear equations? (HINT: Substitute x

Serggg [28]

Answer:

1st Equation: -8x + y = 22

At (-2,6)

(-8*-2)+ 6 =16+6= 22: That is correct

2nd Equation: -8x - y =10

At (-2,6)

(-8*-2)-6= 16-6= 10: That is correct

Both are correct.

Hope it helps you.

5 0

3 years ago

Given that a = 4.8 × 104 and that b = 8 × 10−3

Paha777 [63]

Answer:

3.84 * 10^0

Step-by-step explanation

Given the following values;

a = 4.8 × 104 and that b = 8 × 10−3

We are to find the product ab

ab = (4.8 × 10^4)(8 × 10^−3)

ab = (4.8*8)(10^4 * 10^-3)

ab = 38.4 * 10^(4-3)

ab = 38.4 * 10^-1

ab = 3.84 * 10 * 10^-1

ab = 3.84* 10^0

<em>Hence the product in standard form is expressed as 3.84 * 10^0</em>

8 0

3 years ago

Please help me solve this.

Doss [256]

Answer:

63

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Simplify this expression; -15k-1+12+2k​

Simplify this expression; -15k-1+12+2k