-x/3 = 2 x = -6 x = 6 x = -1

Find the area of the figure.

kozerog [31]

Answer:

Area is 99

Step-by-step explanation:

3 0

3 years ago

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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

4 years ago

A garden is 3 yards 12 inches wide and 8 yards long. Write the ratio of the width to the length as a fraction in simplest form.

garik1379 [7]

-- On the width:
3 yards = 9 feet
12 inches = another 1 foot
Total width = 10 feet

-- On the length:
8 yards = 24 feet

Ratio of width to length = (10 feet) / (24 feet)

= 5 / 12 .

4 0

3 years ago

Which polynomial is written in standard form for the polynomial below?

sergejj [24]

Answer:

I believe the correct choice is B. I know that you have to combined the like term's but in this case their are nun so you would do the greatest root and decrees to the right

5 0

3 years ago

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Solve 2x^2 = 72. Question 1 options: {±18} {±36} {±6} {±8}

Marat540 [252]

All you do is have to plug each option in for x
2*18^2=684
2*36^2=2592
2*6^2=72
2*8^2=128
So it's C.6

7 0

3 years ago

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