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ludmilkaskok [199]
3 years ago
12

Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}

Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 (\pi) so we have \frac{\pi  ^{2} }{5} ≈ 9.6/5 = 1.92

Step-by-step explanation:

\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}} = \frac{\sqrt{10} \pi }{5}

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The displacement (in meters) of a particle moving in a straight line is given by the equation of motion
Ksenya-84 [330]

Answer:

  • -2/a³ m/s
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Step-by-step explanation:

The velocity is the derivative of position:

  v = ds/dt = (d/dt)(t^-2) = -2t^-3

For t=a, the velocity is

  -2a^-3 = -2/a³ . . . . meters per second

For t=1, the velocity is ...

  -2·1³ = -2 . . . . meters per second

For t=2, the velocity is ...

  -2·2^-3 = -2/8 = -1/4 . . . . meters per second

For t=3, the velocity is ...

  -2·3^-3 = -2/27 . . . . meters per second

4 0
3 years ago
MATH please answer <br>please answer ​
Ilya [14]

Answer:

you can fit 1000 hairs in 10 cm

Step-by-step explanation:

10^2= .01

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6 0
3 years ago
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How do you calculate the area and the perimeter of a parallelogram and a triangle?
Mnenie [13.5K]

for parallelograms:

area = b(h)

so basically, the length times the height. just like how you would find the area of a square.

perimeter: just add all of the sides together.

for triangles:

area = 1/2(b) x h

so half the length multiplied by the height. for example, if the length was 4, you have to use half of that. so that means 2 times whatever the height is.

perimeter: again, just add all three sides together

7 0
3 years ago
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If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly
cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_xp^x(1-p)^n-x, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0
3 years ago
Help!! If anyone could help, I’ll give Brainly! :) thank you so much
OLga [1]

9514 1404 393

Answer:

  $50

Step-by-step explanation:

The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.

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The interest earned in the account is $50.

5 0
3 years ago
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