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postnew [5]
3 years ago
15

Find the length of arc XW. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Luda [366]3 years ago
4 0

Answer:

15.08 m

Step-by-step explanation:

The angle XZW :

XZW + 108° = 180°

XZW = 180° - 108°

XZW = 72°

Length of an arc = θ / 360 * πd

d = diameter = XV = 24

Length of arc XW = (72/360) * π * 24

Length of arc XW = 15.0796

Length of XW = 15.08 m

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trapecia [35]

67 ÷ 10 x 4 = 26.8 hours for her to eat 67 cookies

6 0
3 years ago
According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of
worty [1.4K]

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours

a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

\mu_x=\mu=23\ hours

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{100} }=1

c) \mu_x=\mu=23\ hours

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{1000} }=0.32

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.

The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.

5 0
3 years ago
Pleas help me find the answer and show the work to this question
lions [1.4K]

Answer:

Leg\ 1 = 8

Leg\ 2 = 15

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

Hyp^2 = Adj^2 + Opp^2

In this case:

17^2 = x^2 + (2x- 1)^2

Open Bracket

17^2 = x^2 + 4x^2- 2x-2x + 1

17^2 = 5x^2 - 4x + 1

289= 5x^2 - 4x + 1

Collect Like Terms

5x^2 - 4x + 1 - 289 = 0

5x^2 - 4x - 288 = 0

Solving using quadratic formula:

x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

So:

x = 8 or x = -7.2

Since, x can't be negative, then:

x = 8

One of the leg is:

Leg\ 1 = x

Leg\ 1 = 8

Leg\ 2 = 2x - 1

Leg\ 2 = 2*8 - 1

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Leg\ 2 = 15

6 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
babunello [35]
The 4th one goes with the 1st box
The 2nd one goes with the 2nd box
The last one goes with the 3rd box
3 0
3 years ago
A number x is greater than 0. write the word sentence as an inequality
IgorLugansk [536]

9514 1404 393

Answer:

  x > 0

Step-by-step explanation:

The only thing that needs translation to symbols is "greater than". Your "word sentence" already uses the symbols x and 0. The symbol for greater than is >. Your inequality is ...

  x > 0

8 0
3 years ago
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