What is the slope of a perpendicular line to 3.2 + 4y = 9?

If you have 66 data observations in a sample, how many classes (bins) does the sturges' rule recommend for you to construct a fr

Iteru [2.4K]

According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7

Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.

Given,

n = 66

We know that,

According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:

$k=1+log_{2} n$

Here, n is equal to 66 and by substituting the value to the equation we get:

$k=1+log_{2} (66)$

k = 7.0444

k ≈ 7

Learn more about Sturge's rule here: brainly.com/question/28184369

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8 0

11 months ago

Are corresponding angles in similar figures congruent?

Gala2k [10]

Answer:

yes

Step-by-step explanation:

Only the lengths change, not the angles.

3 0

3 years ago

Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Arada [10]

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

$\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt$

$\rm ds = \sqrt{2^2+3^2+4^2} dt$

After solving the integration over the limit 0 to 1, we will get;

$\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12} (e^{12}-1)$ or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Learn more about integration here:

brainly.com/question/18125359

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7 0

1 year ago

2 Points

weqwewe [10]

Answer:

12

Step-by-step explanation:

An isosceles triangle are three sides of two sides being equal in lengths.

If that is the case, the two opposite slanting sides which are equal, must be longer. Invariably, the third side is 12.

5 0

2 years ago

Please help, I need this quickly. Fairly easy, help pleasee

ahrayia [7]

-4x-3y-9=0
|| m1 = - ( - 4)/-3= - 4/3
_|_ m2 = -1/m1= 3/4

2x+4y-3=0
|| m1= -2/4= -1/2
_|_ m2= 2

12x-y-17=0
|| m1= -12/-1=12
_|_ m2 = -1/12

x-y=0
|| m1= -1/-1=1
_|_ m2= -1

8x - 3y - 2=0
|| m1= -8/-3= 8/3
_|_ m2 = -3/8

-2x + y - 5=0
|| m1= -(-2)/1=2
_|_ m2= -1/2

3 0

3 years ago