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2 years ago

A circle has a diameter of 22 cm. What is its circumference?

Mathematics

2 answers:

charle [14.2K]2 years ago

8 0

Answer:

$\boxed {\tt 69.08 \ centimeters}$

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

$c= \pi d$

where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.

$d= 22 \ cm$

$c= \pi* 22 \ cm$

We also know we are using 3.14 for pi. Substitute it in for pi.

$c= 3.14 * 22 \ cm$

Multiply.

$c=69.08 \ cm$

The circumference of the circle is 69.08 centimeters.

MArishka [77]2 years ago

7 0

Answer:

Circumference = 69.08 cm

Step-by-step explanation:

Diameter = 22

Radius = 22/2

= 11

Circumference = 2πr

= 2 × 3.14 × 11

= 69.08 cm

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by: