All categories

3 years ago

Whats the m.a.d. of 0, 3, 6, 9, 11, 13, 14? n=7

Mathematics

1 answer:

KatRina [158]3 years ago

4 0

Answer:

4 2/7

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the tedious math for you. (See the attachment.)

_____

The sum of the numbers is 56, so their average is 56/7 = 8. Then the absolute deviations from average are ...

... 8, 5, 2, 1, 3, 5, 6

and the total of these is 30. The mean absolute deviation is this sum divided by the number of numbers, 7, so is ...

... 30/7 = 4 2/7

_____

<em>More about Absolute Deviation from Average</em>

"Absolute" here refers to the absolute value function, which drops the sign of a negative number. The absolute deviation of the data value 0 is ...

... |0 - 8| = |-8| = 8

For 3, it is ...

... |3 - 8| = |-5| = 5

You might be interested in

An exponential function is represented in the table.

katrin2010 [14]

55/2 =27.5 that is the answer and the average rate of change

7 0

3 years ago

A farmer from Whidbey Island: A man claims his whalebone can detect water. You design an experiment using a set of 4 cans, 3 emp

tatyana61 [14]

Answer:

The value is $E(x) = 1.25$

Step-by-step explanation:

From the question we are told that

The number of cans is n = 4

The number of can that are empty is N = 3

The number of can filled with water is k = 1

The number number of sets of cans is w = 5

Generally probability of detecting the correct can is mathematically represented as

$p = \frac{k}{n}$

=> $p = \frac{1}{4}$

=> $p = 0.25$

Generally probability of not detecting the correct can is mathematically represented as

$q = 1- p$

$q = 1- 0.25$

$q = 0.75$

Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as

$E(x) = w * p$

=> $E(x) = 5 * 0.75$

=> $E(x) = 1.25$

5 0

3 years ago

Four resistors are connected in series such that their total resistance is 50ohm . If the resistance of resistors is 5 ohm , 10o

Katyanochek1 [597]

<h2>Answer:</h2>

$\boxed{R_{4}=20\Omega}$

<h2>Step-by-step explanation:</h2>

If resistors are in series, so the current $I$ is the same in all of them. In this problem we have four resistors. So, we can get a relationship between the Equivalent resistance of series combination and the four resistors as follows:

$R_{eq}=R_{1}+R_{2}+R_{3}+R_{4}$

$R_{eq}$ is the total resistance $50\Omega$ . Moreover:

$R_{1}=5\Omega \\ R_{2}=10\Omega \\ R_{3}=15\Omega$

Therefore:

$50=5+10+15+R_{4} \\ \\ R_{4}=50-(5+10+15) \\ \\ R_{4}=50-30 \\ \\ \boxed{R_{4}=20\Omega}$

7 0

3 years ago

4th grade math help & explain please

ohaa [14]

Nothing on the rectangle is shaded, unless the camera quality is poor.

0/12

7 0

3 years ago

A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes

Ket [755]

Answer:

13 ft/s

Step-by-step explanation:

t seconds after the boy passes under the balloon the distance between them is ...

d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)

The rate of change of d with respect to t is ...

dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)

At t=3, this derivative evaluates to ...

dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13

The distance between the boy and the balloon is increasing at the rate of 13 ft per second.

_____

The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.

The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.

The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...

d = √((15t)² + (45+5t)²)

7 0

3 years ago