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3 years ago

What is the difference between relative frequency and experimental probability?

1 answer:

3 0

Relative Frequency is how often something happens divided by all outcomes while Experimental probability<span> is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.</span>

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Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g

eimsori [14]

If the given differential equation is

$\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1$

then multiply both sides by $\frac1{\cos^2(x)}$ :

$\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)$

The left side is the derivative of a product,

$\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)$

Integrate both sides with respect to $x$ , recalling that $\frac{d}{dx}\tan(x) = \sec^2(x)$ :

$\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx$

$\sin(x) y = \tan(x) + C$

Solve for $y$ :

$\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}$ .

7 0

2 years ago

Christopher's back yard is in the shape of a trapezoid. The bases of his back yard are 30 and 40 feet long. The area of his back

quester [9]

Answer:

15 feet

Step-by-step explanation:

525 = ½(30+40)h

525 = 35h

h = 525/35

h = 15 feet

4 0

3 years ago

Select all that apply.

babunello [35]

C.Quadrilateral is the answer for the following because rhombus, trapezoid, isosceles trapezoid have parallel sides.

3 0

3 years ago

Read 2 more answers

Question is in the picture

MrRa [10]

Answer:

B) 12.5 ft

Step-by-step explanation:

set up a proportion of inches/feet equals inches/feet

let 'h' = height of sign

5.4/18 = 3.75/h

cross-multiply:

5.4h = 67.5

h = 12.5

5 0

2 years ago

Please answer the question below. Topic: Scale drawings

ch4aika [34]

It would be 100. Hope it helps!

8 0

3 years ago