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Leno4ka [110]
2 years ago
12

What is the probability that a randomly chosen person from this group is a

Mathematics
1 answer:
SVEN [57.7K]2 years ago
5 0

Answer:

0.26 or C

Step-by-step explanation:

Basically you would do the sophomores that attended the jazz band concert (35) and divide that by the total number of students. (137) - - 35 ➗ 137 = .2554744526 round that to .26 or 0.26

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The second from last cuz S.A. Only have one way to it
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The entrance ramp to an arena rises 4.5 feet for every 50 feet of horizontal distance it covers. What is the slope of the ramp?
Naya [18.7K]

Answer:

9/10 or 0.9

Step-by-step explanation:

As we move 50 feet horizontally, the far end of the ramp reaches 4.5 feet above ground level.  Thus, the slope is m = rise / run = 4.5/50 = 9/10 or 0.9.

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12 male birds for every 9 female birds ratio
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4:3

Step-by-step explanation:

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Read 2 more answers
Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)
dolphi86 [110]

The mass of the wire is found to be 40π√2 units.

<h3>How to find the mass?</h3>

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = \int_a^b \delta\left|r^{\prime}(t)\right| d t

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}

Further simplifying;

\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}

Now, use integration to find the mass of the wire;

       \begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}

Therefore, the mass of the wire is estimated as 40π√2 units.

To know more about density function, here

brainly.com/question/27846146

#SPJ4

The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

5 0
1 year ago
Neil goes to the pet shop and selects a treat for his dog. He chooses one, returns it to the bunch, and the chooses another. Wha
ivolga24 [154]

Answer:

%50

Step-by-step explanation:

5 0
3 years ago
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