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3 years ago

About ______% of the area is between z= -1 and z= 1 (or within 1 standard deviation of the mean)? How do you solve this?

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

Answer:

68%

Step-by-step explanation:

68-95-99.7% Rule:

This is the empirical rule which is used to remember the percentage of values that is within a band of the mean. We say:

68% of the data fall within 1 standard deviation of the mean
95% of the data fall within 2 standard deviation of the mean, and
99.7% of data falls within 3 standard deviations of the mean

Clearly, from the empirical rule, we see that about 68% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean)

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Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true

Hoochie [10]

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the lines

y = 2/3 x -3 --- Line 1

y = -3/2x +2 --- Line 2

The slope of line 1

y = 2/3 x -3 --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

The slope of line 2

y = -3/2x +2 --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

7 0

3 years ago

Find the volume of the shaded figure by subtracting the smaller volume from the larger

alekssr [168]

Answer:

a. $9a^3 - 9ab^2$

b. $9a(a^2 - b^2)$

Step-by-step explanation:

$Volume = l*w*h$

$Volume_{smaller} = l*w*h$

Where, $l = 9a, w = b, h = b$

$Volume_{smaller} = 9a*b*b = 9ab^2$

$Volume_{larger} = l*w*h$

Where, $l = 9a, w = a, h = a$

$Volume_{smaller} = 9a*a*a = 9a^3$

Volume of the shaded figure = $9a^3 - 9ab^2$

b. $9a^3 - 9ab^2$ expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

$9a^3 - 9ab^2 = 9a(a^2 - b^2)$

6 0

4 years ago

15 points. Need help with this math question

kodGreya [7K]

Answer:

0.0098 < 0.01935 < 0.02 < 0.14999 < 0.1589

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3 years ago

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Dmitry [639]

Answer:

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3 years ago

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madam [21]

Answer:

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About​ ______% of the area is between z= -1 and z= 1 ​(or within 1 standard deviation of the​ mean)? How do you solve this?

About ______% of the area is between z= -1 and z= 1 (or within 1 standard deviation of the mean)? How do you solve this?