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mr Goodwill [35]
3 years ago
10

The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.​

Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Formula: A = πr²

Divide to find the radius.

6 / 2 = 3

Solve using the values we are given and solved for.

A = π(3)²

A = 9π

A ≈ 28.26

Best of Luck!

Marysya12 [62]3 years ago
6 0

Answer:

28.26 miles

Step-by-step explanation:

Area= pi times radius squared

diameter is twice the radius so 6÷2=3miles

3 miles is the radius

So A= 3.14 × 3²

= 28.26

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The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, <em>α</em> = 0.05.

The hypothesis can be defined as follows:  

<em>H</em>₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. <em>p</em> = 0.50.  

<em>Hₐ</em>: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. <em>p</em> > 0.50.  

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n = 510\\\hat p=0.53

Compute the test statistic value as follows:

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    =\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35

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The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 p-value=P(Z>1.35)

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The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

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