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3 years ago

The diameter of a circle is 3 cm. Find its area to the nearest tenth.

Mathematics

2 answers:

dexar [7]3 years ago

5 0

Answer:

Its area to the nearest tenth is 7.1 cm^2.

Step-by-step explanation:

Step 1. First, you have to figure out the radius of the circle. Since you know the diameter, simply divide the diameter of 3 by 2 to get the radius of 1.5.

Step 2.

Next, use the formula area = π(radius)² to figure out the circumference by plugging in the radius. Since we know the radius is 1.5, we can substitute 1.5 for the r in the equation to make it look like this:

a = π(1.5)²

Then, following the order of operations, we solve.

a = π(1.5)²

1.5(1.5) = 2.25

a = π2.25

π ≈ 3.14

(3.14)2.25 = 7.06500

Step 3.

Now, we round 7.06500 up to 7.1.

Therefore, the area of a circle with a diameter of 3 cm rounded to the nearest tenth is 7.1 cm^2.

sattari [20]3 years ago

4 0

Answer:

7.1 cm^2

Step-by-step explanation:

Diameter= 2*r

So radius= d/2

Plug in d for 3

Radius: 3/2

Area of a circle: Pi* r*r

So: Pi* 3/2* 3/2

Area= 7.065 which is around 7.1

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Answer:

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Step-by-step explanation:

some abbreviations ill be using:

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Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

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Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

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