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3 years ago

Slope = -1/3 passing through (4,-9) Point- slope form and slope-intercept form

Mathematics

2 answers:

HACTEHA [7]3 years ago

7 0

Answer:

Point Slope Form: y + 9 = -1/3(x - 3)

Slope-Intercept: y = -1/3x - 8

Step-by-step explanation:

Point Slope Form: (y - y1) = m(x - x1)

Slope-intercept Form: y = mx + b

Step 1: Use point slope form

(y - (-9)) = -1/3(x - 3)

Answer: Point Slope Form: y + 9 = -1/3(x - 3)

Step 2: Use point slope to get slope intercept

y + 9 = -1/3(x - 3)

y + 9 - 9 = -1/3x + 1 - 9

y = -1/3x - 8

Answer: Slope-Intercept: y = -1/3x - 8

AleksandrR [38]3 years ago

6 0

Answer:

-9=-1/3-13 is it in slope intercept form, look up ones to put it in different forms

Step-by-step explanation:

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Answer:

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3 years ago

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2 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.

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.

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3 years ago

Find the measure of ∠ADB ∠ A D B if ∠ADC = 82°

sveta [45]

Assuming CDB is a straight line then angle ADB = 180-82=98

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3 years ago

Show that there is no solution for the radical equation 4w+4=-4.

Ad libitum [116K]

Answer:

there is a solution

w= -2

Step-by-step explanation:

4w+4=-4

-4 -4

4w=-8

/4 /4

w=-2

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3 years ago