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3 years ago

Topic: Probability Only complete question 9.

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

a. H 1, H2 ,H3 T1 ,T2, H3

b 6 possible outcomes

c 2 outcomes for the coin ( h,T) 3 outcomes for the spinner

2*3 = 6

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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

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3 years ago

What is the tangent of an equal to

elena-s [515]

The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .

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3 years ago

Find the area of a regular hexagon with side length of 10 and apothem of 8.7 meters <br>HELP PLZZZ

muminat

Answer:

43.5 meters

Step-by-step explanation:

Area of regular hexagon =

$\frac{1}{2} \times ap$

in the problem you have a = 10 meters

and p = apothem = 8.7 meters

so if you apply the formula

you will have

area =( 1/2) × 10 × 8.7

area = 43.5 meters

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3 years ago

35% of 70 is _____.

Ostrovityanka [42]

The answer is 24.5
Hope this helps :)

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3 years ago

Read 2 more answers

I need help my teacher's note didn't help at all please

Roman55 [17]

Answer:

1.0472

Step-by-step explanation:

= 60 × π/180 rad

= π/3 rad

Hope this helps! :)

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3 years ago