3 years ago

The probability of spinning a 4, flipping heads, then spinning a 7 is ___.

Mathematics

1 answer:

AnnZ [28]3 years ago

3 0

Answer:

1/7 1/4

Step-by-step explanation:

......…........ ..

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Evaluate the line integral, where C is the given curve. C (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to

Bess [88]

Parameterize the first line segment $C_1$ by

$\vec r(t)=(1,0,1)(1-t)+(2,4,1)t=(1+t,4t,1)$

and the second line segment $C_2$ by

$\vec s(t)=(2,4,1)(1-t)+(2,6,4)t=(2,4+2t,1+3t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_{C_1}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((1+5t)\cdot1+2(1+t)\cdot4+(1-t)4t\cdot0\bigg)\,\mathrm dt$

$=\displaystyle\int_0^1(9+13t)\,\mathrm dt=\frac{31}2$

and

$\displaystyle\int_{C_2}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((2+(4+2t)(1+3t))\cdot0+2(2)\cdot2+2(4+2t)(1+3t)\cdot3\bigg)\,\mathrm dt$

$\displaystyle=\int_0^1(32+84t+36t^2)\,\mathrm dt=86$

Then

$\displaystyle\int_C(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz=\frac{31}2+86=\boxed{\frac{203}2}$

5 0

3 years ago

Pls help quickly<br> Have school tomorrow

vovangra [49]

A. 60mph
B. 12 customers per day
C. 2.5 meters per sec
D. 1.59$ per pound

We divide to find each unit rate.
(e.g 420/7=60)
(360/30=12)(40/16=2.5)(7.95/5=1.59)

8 0

2 years ago

Parallelogram CDEF with vertices C(-4,-4), D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.

STALIN [3.7K]

Y=2 I’d the answer I think

7 0

2 years ago

Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all

bezimeni [28]

Answer:

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

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1 year ago

What is 9 2/3 - 2 8/10

umka21 [38]

9 2/3 - 2 8/10 = 16 13/15

7 0

3 years ago