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3 years ago

Find the volume of this object.

Mathematics

1 answer:

Tcecarenko [31]3 years ago

3 0

Answer:

$532 cm^{2}$

Step-by-step explanation:

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The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are

shtirl [24]

Answer:

0.3569 is the probability that they have a mean pregnancy between 266 days and 268 days.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 268 days

Standard Deviation, σ = 15 days

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

Formula:

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

Standard error due to sampling =

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{15}{\sqrt{64}} = \frac{15}{8}$

P(pregnancy between 266 days and 268 days)

$P(266 \leq x \leq 268) = P(\displaystyle\frac{266 - 268}{\frac{15}{8}} \leq z \leq \displaystyle\frac{268-268}{\frac{15}{8}}) = P(-1.0667 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1.067)\\= 0.5000 - 0.1431 = 0.3569 = 35.69\%$

$P(266 \leq x \leq 268) = 35.69\%$

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3 years ago

If you have changed the tires on your car, the original diameter is 24.5 inches. to a new diameter of 26 inches, how fast are yo

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Answer: c) 56.2

<u>Step-by-step explanation:</u>

Compare the original rate to the the new rate:

$\dfrac{diameter}{mph}:\dfrac{24.5\ in}{53\ mph}=\dfrac{26\ in}{x}\\\\\\24.5x=53(26)\\\\\\x=\dfrac{53(26)}{24.5}\\\\\\x=\large\boxed{56.2\ mph}$

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