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2 years ago

If the measure of arc DEF is 248°, what is the measure of ∠DEF?

Mathematics

2 answers:

larisa [96]2 years ago

3 0

According to formulas, the measurement of arc DF is twice the measurement of ∡DEF. Arc DF is equal to 360-248 or 112. Hence ∡DEF is equal to 56 degrees.

AVprozaik [17]2 years ago

3 0

Answer:

The answer is 56, just did it, got it right ;P

Step-by-step explanation:

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The diameters of bearings used in an aircraft landing gear assembly have a standard deviation of ???? = 0.0020 cm. A random samp

vovikov84 [41]

Answer:

(a) We conclude after testing that mean diameter is 8.2500 cm.

(b) P-value of test = 2 x 0.0005% = 1 x $10^{-5}$ .

(c) 95% confidence interval on the mean diameter = [8.2525 , 8.2545]

Step-by-step explanation:

We are given with the population standard deviation, $\sigma$ = 0.0020 cm

Sample Mean, Xbar = 8.2535 cm and Sample size, n = 15

(a) Let Null Hypothesis, $H_0$ : Mean Diameter, $\mu$ = 8.2500 cm

Alternate Hypothesis, $H_1$ : Mean Diameter, $\mu$ $\neq$ 8.2500 cm{Given two sided}

So, Test Statistics for testing this hypothesis is given by;

$\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ follows Standard Normal distribution

After putting each value, Test Statistics = $\frac{8.2535-8.2500}{\frac{0.0020}{\sqrt{15} } }$ = 6.778

Now we are given with the level of significance of 5% and at this level of significance our z score has a value of 1.96 as it is two sided alternative.

Since our test statistics does not lie in the rejection region{value smaller than 1.96} as 6.778>1.96 so we have sufficient evidence to accept null hypothesis and conclude that the mean diameter is 8.2500 cm.

(b) P-value is the exact % where test statistics lie.

For calculating P-value , our test statistics has a value of 6.778

So, P(Z > 6.778) = Since in the Z table the highest value for test statistics is given as 4.4172 and our test statistics has value higher than this so we conclude that P - value is smaller than 2 x 0.0005% { Here 2 is multiplied with the % value of 4.4172 because of two sided alternative hypothesis}

Hence P-value of test = 2 x 0.0005% = 1 x $10^{-5}$ .

Probability(-1.96 < N(0,1) < 1.96) = 0.95 { This indicates that at 5% level of significance our Z score will lie between area of -1.96 to 1.96.

P(-1.96 < $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96\frac{\sigma}{\sqrt{n} }$ < $Xbar - \mu$ < $1.96\frac{\sigma}{\sqrt{n} }$ ) = 0.95

P( $-Xbar-1.96\frac{\sigma}{\sqrt{n} }$ < $-\mu$ < $1.96\frac{\sigma}{\sqrt{n} }-Xbar$ ) = 0.95

P( $Xbar-1.96\frac{\sigma}{\sqrt{n} }$ < $\mu$ < $Xbar+1.96\frac{\sigma}{\sqrt{n} }$ ) = 0.95

So, 95% confidence interval for $\mu$ = [ $Xbar-1.96\frac{\sigma}{\sqrt{n} }$ , $Xbar+1.96\frac{\sigma}{\sqrt{n} }$ ]

= [ $8.2535-1.96\frac{0.0020}{\sqrt{15} }$ , $8.2535+1.96\frac{0.0020}{\sqrt{15} }$ ]

= [8.2525 , 8.2545]

Here $\mu$ = mean diameter.

Therefore, 95% two-sided confidence interval on the mean diameter

= [8.2525 , 8.2545] .

6 0

2 years ago

Read 2 more answers

If i make $16 an hour and im offered a 5% increase .how much is that?

romanna [79]

Answer:

You would make $16.80 an hour.

Step-by-step explanation:

16 x 1.05 equals $16.80

5 0

3 years ago

Can someone help my sister with #3 and #4 please. I tried and I can’t figure it out.

castortr0y [4]

#3 Which of the following is less than 527 m?

A. 0.000699 Mm = 0.000699 · 1,000,000 m = 699 m

B. 914,879,710 nm = (914,879,710 : 1,000,000,000) m = 0.914879710 m

C. 51,723 cm = (51,723 : 100) m = 517.23 m

The best answer is C

#4 How many songs would you have if the average file size is 4,000 kb?

8 gb: 1,700 songs

16 gb: 6,000 songs

2 gb: 500 songs

160 gb: 30,000 songs

64 gb: 14,000 songs

1 Terabyte = 1024 gb: so im guessing 350,000 songs

This depends on the length of the song and the file format/type. A typical mp3 song of around 4 minutes averages 4 MB (4000 KB).

4 0

3 years ago

A contractor purchases 4 dozen pairs of padded work gloves for $56.16. She incorrectly calculates the unit price as $14.04 per

8090 [49]

Answer:

The correct unit price is $1.17 per pair of gloves. The error is she used number of dozens so, firstly convert it to number of pairs of gloves then divide.

Step-by-step explanation:

It is given 4 dozen pairs of gloves for $56.16.

So, unit price = Divide the price by number of pairs of gloves.

And 1 dozen =12

So 4 dozen =4*12=48 pairs of gloves

So, to find unit rate divide 56.16 by 48.

Unit price = $\frac{56.16}{48}= $1.17$

So, the error is she didn't convert the dozen to units.

That made mistake in finding unit price.

6 0

3 years ago

Sin B= 0.65 what is the measure of angle B to the nearest degree

denis-greek [22]

45 :)))))))))))))))))))))))))))))))

6 0

3 years ago