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ser-zykov [4K]
3 years ago
11

Please help i will give brainly!

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

7.056

7 is units place = 7 *1

0 is tenth place = 0 *(1/10)

5 is hundredth place = 5 *(1/100)

6 is thousandth place = 6 * (1/1000)

7.056 = 7*1+ 0*\frac{1}{10}+5*\frac{1}{100}+6*\frac{1}{1000}

Seven and fifty six thousandths

18.3

Eighteen and one third

18.3 = 1*10 + 8*1 + 3*\frac{1}{10}

918.0201

Nine hundred eighteen and two hundred  one ten thousandths

918.0201=9*100 + 1*10 + 8*1 +0 +2*\frac{1}{100}+0+1*\frac{1}{10000}

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Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
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Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

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7 0
3 years ago
Find the area of the composite figure.
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Answer:

The Area of the composite figure would be 76.26 in^2

Step-by-step explanation:

<u>According to the Figure Given:</u>

Total Horizontal Distance = 14 in

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<u>To Find :</u>

The Area of the composite figure

<u>Solution:</u>

Firstly we need to find the area of Rectangular part.

So We know that,

\boxed{ \rm \: Area  \:  of \:  Rectangle = Length×Breadth}

Here, Length is 6 in but the breadth is unknown.

To Find out the breadth, we’ll use this formula:

\boxed{\rm \: Breadth = total  \: distance - Radius}

According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,

\longrightarrow\rm \: Length \:  of \:  the  \: circle = Radius

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\longrightarrow \rm \: 6 \: in   = radius

Hence Radius is 6 in.

So Substitute the value of Total distance and Radius:

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\longrightarrow\rm \: Breadth = 14-6

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Hence, the Breadth is 8 in.

Then, Substitute the values of Length and Breadth in the formula of Rectangle :

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\longrightarrow\rm \: Area \:  of  \: Rectangle = 6 \times 8

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Then, We need to find the area of Quarter circle :

We know that,

\boxed{\rm Area_{(Quarter \; Circle) }  = \cfrac{\pi{r} {}^{2} }{4}}

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\longrightarrow\rm Area_{(Quarter \; Circle) } =  \cfrac{3.14 \times 6 {}^{2} }{4}

Solve it.

\longrightarrow\rm Area_{(Quarter \; Circle) } =  \cfrac{3.14 \times 36}{4}

\longrightarrow\rm Area_{(Quarter \; Circle) } =  \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4}

\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9

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Now we can Find out the total Area of composite figure:

We know that,

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So Substitute their values:

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Solve it.

\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}}

Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.

\rule{225pt}{2pt}

I hope this helps!

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