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3 years ago

A flying disc has a circumference of 81.64 centimeters. What is the area of the flying disc? Use 3.14 for pi

Mathematics

1 answer:

Daniel [21]3 years ago

6 0

9514 1404 393

Answer:

530.66 cm²

Step-by-step explanation:

A formula for the area of the circular disc can be written as ...

A = C²/(4π)

A = (81.64²)/(4·3.14) = 6665.0896/12.56

A = 530.66 . . . . square centimeters

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A simple random sample was taken of 44 water bottles from a bottling plant’s warehouse. The dissolved oxygen content (in mg/L) w

Margarita [4]

Answer:

(a) Test statistic is -2.85 and p-value is 0.0022

(b) Reject the null hypothesis. The population mean of dissolved oxygen content is not equal to 10 mg/L

Step-by-step explanation:

H0: mu equals 10

Ha: mu not equals 10

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to

(a) Test statistic (z) = (sample mean - population mean) ÷ (sd/√n) = (9.14 - 10) ÷ (2/√44) = -0.86 ÷ 0.302 = -2.85

Cumulative area of the test statistic = 0.9978

p-value = 2(1 - 0.9978) = 2(0.0022) = 0.0044

(b) The critical value using 0.02 significance level is 2.422. For a two-tailed test, the region of no rejection of the test statistic lies between -2.422 and 2.422.

Conclusion:

Reject the null hypothesis because the test statistic -2.85 falls outside the region bounded by the critical values -2.422 and 2.422.

The population mean of dissolved oxygen content is not equal to 10 mg/L

7 0

3 years ago

Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit?

Ilia_Sergeevich [38]

Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.

It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.

From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.

Learn more about tax credit on:

brainly.com/question/25895721

8 0

2 years ago

Answer plz it’s impirtanttttt

Vinvika [58]

Part a) In 35 minutes, 25 number of pages have been read.

Part b) There is positive association between time and the number of pages being read

Step-by-step explanation:

Part a) What is the meaning of the point (35,25)

35 is the value of x-axis and 25 is the value of y-axis

x-axis represent Time(minute) while y-axis represent Number of pages read

So, in 35 minutes, 25 number of pages have been read.

Part b) Is the association between time and number of pages positive or negative? state the association in terms of variables.

Association is positive if increasing one variable, other variable is also increasing.

Association is negative if increasing one variable, other variable is decreasing.

In the given graph, the association is positive. Increasing the time, the number of pages being read are also increasing.

if time is 20 minutes, number of pages read are 12.5. if time is 25 minutes then number of pages read are 17

So, there is positive association between time and the number of pages being read.

Keywords: Association between variables

Learn more about Association between variables at:

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3 years ago

Find the value of x in the equation 3/4 (8x -6 )-2 = 1/2 (1-2x)

mezya [45]

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3 years ago

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