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3 years ago

6

A wave has a wavelength of 25 cm. It passes a particular point for five seconds. 35 crests pass the point during the five second

s. What is it frequency? ________________ cycles per second

1 answer:

Kazeer [188]3 years ago

6 0

80 cycles per second

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The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least $1-\dfrac{1}{k^2}$ data lies within k standard deviation of mean.

For k = 2

$1-\dfrac{1}{(2)^2} = 75\%$

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0

3 years ago

The graph shows the height in inches, h, of a bamboo plant t months after it has been planted. Write an equation that describes

Komok [63]

Answer gonna b appl if wrong sorry

3 0

3 years ago

HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

BaLLatris [955]

Answer:

$\sqrt{3}$ = m

Step-by-step explanation:

So we can say;

Tan(30) = m/3

=> Tan(30) * 3 = m

=> $\sqrt{3}$ = m

Hope this helps!

8 0

3 years ago

Read 2 more answers

I need answer To number 32-34 i need This done by Tuesday

BaLLatris [955]

34 is Y=56 that why he stay with 101 at the end.

4 0

3 years ago

Does anyone know this?

scoundrel [369]

Answer:

B is correct

Step-by-step explanation:

In order to simplify a square root, look at the number inside the square root. See its factors. For this problem, 100*2=200. The square root of 100 is 10, which you would take outside of the square root. This leaves 2 inside the square root, which cannot be further simplified.

8 0

3 years ago