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2 years ago

(I need these answered asap and with work and explanation included)

Mathematics

1 answer:

erik [133]2 years ago

4 0

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.

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147.1 is what percent of 155

Harrizon [31]

Solution for what is 147.1% of 155

155/x=100/147.1
(155/x)*x=(100/147.1)*x - we multiply both sides of the equation by x
155=0.67980965329708*x - we divide both sides of the equation by (0.67980965329708) to get x
155/0.67980965329708=x
228.005=x
x=228.005

now we have:
147.1% of 155=228.005

3 0

3 years ago

A snowmobile traveled 32 miles in 2 1/3 hours.

sergey [27]

Answer:

13.7 mph

Step-by-step explanation:

d = st

<u>Given</u>:

d = 32 miles
t = 2 1/3 hr = 7/3 hr

s = d/t
s = 32÷7/3 = 32 × 3/7 = 96/7 ≈ 13.7 mph (rounded)

4 0

2 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

There are 3 urns A, B and C each containing a total of 10 marbles of which 2, 7 and 4 respectively are red. One of the urns is s

sleet_krkn [62]

<h3>Answer: 7/13</h3>

======================================================

Explanation:

We know that the marble selected is red, so we don't need to focus on the other colors.

7 red marbles are in urn B out of 2+7+4 = 13 total red marbles.

The probability the red marble came from urn B is therefore 7/13

5 0

3 years ago

Find the total surface area of the square pyramid in the figure.<br><br> thanks!!

Viefleur [7K]

Answer:

B: 144 yd²

Step-by-step explanation:

It's a square pyramid : Base area 8 x 8 = 64

4 side area:((8 x5) /2) x 4 = 80

Total area: 64 +80 = 144

5 0

3 years ago