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3 years ago

In a data set with mean of 12 and standard deviation of 4, at least what percent of data falls between 4 and 20?

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

At least 95% of data falls between 4 and 20.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 12

Standard deviation = 4

At least what percent of data falls between 4 and 20?

4 = 12 - 2*4

So 4 is two standard deviations below the mean

20 = 12 + 2*4

So 20 is two standard deviations above the mean

By the Empirical Rule, at least 95% of data falls between 4 and 20.

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12. A red drone is 100 feet off the ground and is rising at 8 feet per second. A blue drone is 180

Harrizon [31]

Answer:

The red drone will be at the same height as the blue drone at 33.33 seconds, therefore higher at 34 seconds.

Step-by-step explanation:

Red drone = 100 + 8*seconds

Blue drone = 180 + 5*seconds

100 + 8*seconds = 180 + 5*seconds

3*seconds = 100

seconds = 33.33

4 0

3 years ago

Write an equation of the line that is perpendicular to y = 1/2

atroni [7]

Answer:

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

= -5 = -2x + 15

Step-by-step explanation:

Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).

Using the slope intercept equation,

y = mx +c

m = slope = 1/2

For two lines to be perpendicular, the product of their slopes is -1

Let the slope of the other line be m2

m1×m2 =-1

1/2×m2 = -1

m2 = -1/(1/2) = -2

Slope of line = -2

For points (10, -5), x = 10, y =-5

-5 = -2× 10 +c

-5 = -20+ c

c = -5+20= 15

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

-5 = -2x + 15

6 0

3 years ago

The sum of 3 consecutive odd numbers is 183 ?

irina [24]

Answer:

The answer is 61.

Step-by-step explanation:

Let, the numbers are: x, (x+2), (x+4)

Now, x+x+2+x+4 = 183

3x + 6 = 183

3x = 177

x = 59

So, second number would be: (x+2) = (59+2) = 61

6 0

2 years ago

Read 2 more answers

Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

3 0

3 years ago

What is the principle square root of 1600? A. -40 B. 40 C. both

WINSTONCH [101]

The answer is B 40........

7 0

3 years ago

Read 2 more answers