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3 years ago

When you roll a die, what kind of probability are you using

1 answer:

7 0

It is a compound event with independent probability, which means that it can fall into any one of them (this happens if the die has not been tampered with). This means that one outcome does not affect the next outcome in anyway

hope this helps

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F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0

3 years ago

The description below represents Function A and the table represents Function B: Function A The function is 2 more than 5 times

Vlad [161]

Answer:

The slope of Function A is greater than the slope of function B while the y-intercept of Function B is greater than the y-intercept of function A.

Step-by-step explanation:

Function A is f(x) = 5x + 2

The slope is 5 and the y-intercept is (0, 2).

Function B. The slope is (5-2) / (0- -1) = 3.

also (8-5) / (1 - 0) = 3

The slope is 3.

The y-intercept is at (0, 5) because one point on the graph is (0, 5).

7 0

3 years ago

The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.

konstantin123 [22]

Thank you for posting your question here. Please see below answers for the problem above:

a. to find the circumference of the tire you need to multiply 3.14 by 2.5:
= 3.14 x 2.5
= 7.85 to round of it will be 8

b. to get the number of times the tire have to rotate to travel 1 mile:

1 mile = 5,280 ft
1 rotation is 7.85
5,280/7.85 = 672.611465

4 0

3 years ago

Answer as mixed number ( if possible) 1/3 divided by 3/5

Tanya [424]

Answer: Your Answer Is 1/5 OR 0.2 (BOTH ARE CORRECT) (:

Step-by-step explanation:

(1/3) (3/5) =

1 3 / 3 5 =

3/15 =

1/5 OR 0.2 Hope I Helped!!! (:

4 0

3 years ago

Read 2 more answers

Mica opened a bank account that earns simple interest with an initial deposit of 2200. She made no other transactions throughout

viktelen [127]

Luckly i still have my notes and the answer was about 3.1%. I hope this helped.

8 0

3 years ago