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liubo4ka [24]
2 years ago
12

Please answer the question below

Mathematics
1 answer:
alexandr402 [8]2 years ago
4 0

The value of x in the given sector is determined as 7.1.

<h3>Area of the sector</h3>

Total area of the sector = area of the shaded + area of the unshaded

Since shaded and unshaded areas are equal, the value of x is calculated as follows;

πr²θ/360 = πx²60/360 +  πx²60/360

πr²θ/360 = 2(πx²θ/360)

πr² = 2(πx²)

r² = 2x²

x² = r²/2

x² = (10²)/2

x² = 50

x = √50

x = 7.1

Thus, the value of x in the given sector is determined as 7.1.

Learn more about area of sector here: brainly.com/question/22972014

#SPJ1

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Find the population mean or sample mean as indicated. Sample: 19, 15, 6, 11, 24 Compute the sample mean for this data set. Selec
yKpoI14uk [10]

Answer:

\overline{x}=15

Step-by-step explanation:

the mean is given by:

\overline{x} = \dfrac{\sum\limits_{i=1}^n x_i}{n} \quad\text{or}\quad \dfrac{\text{sum of all items}}{\text{number of items}}

In our case this is:

\overline{x} = \dfrac{19+15+6+11+24}{5} \Rightarrow \dfrac{75}{5}\\\\\overline{x} = 15\\\\

side note: the main difference between sample mean and population mean is in the 'context'. However, the method to calculate them is the same.

By context I mean: if this the items are taken from some larger category for example: the ages of a few 'students' from a 'class'. Here 'students' are the sample from a larger set that is 'class'. The mean of the 'few students' will be called sample mean. In contrast, if we take the mean of the ages of the whole class then this is called population mean. (population mean == mean of the whole set)

In our case we aren't told exactly where these numbers come from, is this the whole set or a sample from it, the lack of context allows us to assume that the mean can either be population mean or sample mean. So we can safely use any symbol \mu or \overline{x}.

3 0
3 years ago
-5(w+4) +8&lt; - 42 need a quick answer
Nesterboy [21]

Answer:

w > 6

Step-by-step explanation:

Let's solve your inequality step-by-step.

−5(w+4)+8<−42

Step 1: Simplify both sides of the inequality.

−5w−12<−42

Step 2: Add 12 to both sides.

−5w−12+12<−42+12

−5w<−30

Step 3: Divide both sides by -5.

\frac{-5w}{-5} < \frac{-30}{-5}

w > 6

<u>Answer: </u>

<u />w > 6

Thanks!

- Eddie

7 0
1 year ago
Can someone solve this
valentinak56 [21]

triangle TUV is congruent to triangle TBA

by SAS congruency

hope it helps...!!!!

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The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o
Westkost [7]

Answer:

54,900

hope this helps!!

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3 years ago
WILL MARK BRAINLIEST IF CORRECT !!!
True [87]

Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:

<u>Original statement:</u> The grass is wet because it was raining.

<u>Contrapositive statement:</u> It was not raining, so the grass is not wet.

Notice how we "flipped" the original sentence around, as wrote it's "opposite".

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3 years ago
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