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3 years ago

When paid flat a round parachute has a diameter of 8 meters. What is the parachute’s circumference

Mathematics

2 answers:

mariarad [96]3 years ago

7 0

Answer:

25.12 meters

Step-by-step explanation:

The circumference of a circle is given by

$c=2\pi r$ (1)

where:

$\pi\sim 3.14$

r is the radius of the circle

In this problem, the parachute has a diameter of 8 meters:

d = 8 m

The radius of a circle is equal to half of its diameter, so the radius of the parachute is:

$r=\frac{d}{2}=\frac{8}{2}=4 m$

And therefore, by applying eq.(1) we can find the circumference of the circle:

$c=2\pi r=2\cdot 3.14 \cdot 4 = 25.12 m$

Vlad1618 [11]3 years ago

7 0

Answer:

25.12

Step-by-step explanation:

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3 years ago

Read 2 more answers

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is

frozen [14]

Answer:

The decision rule for rejecting the null hypothesis is $t < -1.721$

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.

At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:

$H_0: \mu = 410$

At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:

$H_0: \mu < 410$

Type of test:

As we test if the mean is less than a value, we have a left-tailed test.

We have the standard deviation for the sample, which means that the t-distribution is used.

We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.

Using a calculator, the critical value is $t_c = -1.721$

Determine the decision rule for rejecting the null hypothesis.

We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is $t < -1.721$

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