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Yuki888 [10]
3 years ago
10

 The area of a circle is less than 1 dm². Find the radius of the circle. The area of a circle is less than 1 dm². Find the rad

ius of the circle.
it wants the answer to fit this:
The radius of the circle is less than _______ dm.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
\bf \textit{area of a circle}\\\\
A=\pi r^2\qquad 
\begin{cases}
\textit{let's say the Area is 1 exactly}\\
A=1
\end{cases}\implies 1=\pi r^2
\\\\\\
\cfrac{1}{\sqrt{\pi }}=r

if you drop the radius to less than that, then the Area will also drop to less than 1 unit, in this case it happens to be a decimeter
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Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.
BigorU [14]

Answer:

5 5/8 miles per hour

Step-by-step explanation:

Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.

We are asked to write the unit rate , this means we are to find out how many miles he can run per hour

Hence,

2/3 hour = 3 3/4 miles

1 hour = x

Cross Multiply

2/3 hour × x = 3 3/4 miles × 1 hour

x = 3 3/4 miles × 1 hour/ 2/3 hour

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3 years ago
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Step-by-step explanation:

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Answer these questions mathswatch
quester [9]

Answer:

They have played a total of 28 games.

Step-by-step explanation:

For this question, we must start by adding up the total number of home goals scored, and away goals scored.

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Mean (Average) of home goals: 2.5

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Away Goals:

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7 0
2 years ago
Use 6.84 days as a planning value for the population standard deviation. a. Assuming 95% confidence, what sample size would be r
vlabodo [156]

Answer:

The sample size required is n = (\frac{1.96*6.84}{M})^2, in which M is the desired margin of error. If n is a decimal number, it is rounded up to the next integer.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

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This is n for the given value of M. So

M = z\frac{\sigma}{\sqrt{n}}

M = 1.96\frac{6.84}{\sqrt{n}}

M\sqrt{n} = 1.96*6.84

\sqrt{n} = \frac{1.96*6.84}{M}

(\sqrt{n})^2 = (\frac{1.96*6.84}{M})^2

n = (\frac{1.96*6.84}{M})^2

The sample size required is n = (\frac{1.96*6.84}{M})^2, in which M is the desired margin of error. If n is a decimal number, it is rounded up to the next integer.

8 0
3 years ago
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