PLEASEE HELP!<br><br> What is the length of AD¯¯¯¯¯¯¯¯?

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

Is 0.018 a reasonable answer for 1.8x100

Sloan [31]

Answer:

no

Step-by-step explanation:

1.8×100 would be 180 because you're moving the decimal place two to the right.

8 0

3 years ago

Read 2 more answers

let's write a 7 digit number.Increase this number by 10 lakh in each case and write next three numbers.

Tasya [4]

Answer:

next three digit is 45 and 7

Step-by-step ex:

hope this helps:)

7 0

3 years ago

Please answer question below <br> Thanks

slega [8]

5x+17+15=45
5x=45-17-15
5x=13
x=13/5

5 0

3 years ago

Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the three jump ropes will be the same

Vesnalui [34]

Answer:

The length of each rope is 9.93 feet (Approx).

Step-by-step explanation:

As given

Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes.

Each of the three jump ropes will be the same length.

Thus

$Length\ of\ each\ rope = \frac{29.8}{3}$

$Length\ of\ each\ rope = 9.93\ feet(Approx)$

Therefore the length of the each rope is 9.93 feet (Approx).

3 0

2 years ago

PLEASEE HELP! What is the length of AD¯¯¯¯¯¯¯¯?