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3 years ago

Which biconditional is NOT a good definition?

2 answers:

8 0

<span>Out of the choices given, the biconditional that is not a good definition is "a ray is a bisector of an angle if an only it splits the angle into two angles. Hope this helps!</span>

ICE Princess25 [194]3 years ago

8 0

a ray is a bisector of an angle so the answer would be (d)

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Which expression converts 8 radians to degrees? 8 times pi 8 times StartFraction pi Over 180 degrees EndFraction 8 times 180 deg

tensa zangetsu [6.8K]

Answer:

The expression that converts 8 radians to degree is: degrees = (8 rad)*180/pi

Step-by-step explanation:

To convert any number from radians to degrees we must use the equation below:

degrees = radians*180/pi

Therefore to convert 8 radians to degree we need to apply this value to the formula above:

degrees = 8*180/pi

degrees = 1440/pi

degrees = 458.366º

The expression that converts 8 radians to degree is: degrees = (8 rad)*180/pi

4 0

3 years ago

Read 2 more answers

Please help. I will give you lots of points

Otrada [13]

√3=1.7
2√3=3.4
√5=2.2
The order:
√3,2√3,√5

4 0

3 years ago

Read 2 more answers

Please help asap!:)) and show work!

Vikki [24]

Answer:

The other acute angle = 33 1/3°

Step-by-step explanation:

Hard to read the angle measure.

one acute angle = 56 2/3° x = the second acute angle

Find the other acute angles.

The two acute angles sum in a right triangle = 90°

56 2/3° + x° = 90°

x = 90 - 56 2/3

x = 89 3/3° - 56 2/3°

x = 33 1/3°

8 0

2 years ago

Simplest form <br> 7/8 - 1/6

Tresset [83]

Answer:

17/24

Step-by-step explanation:

hope this helped:)

4 0

2 years ago

Read 2 more answers

Researchers are interested in determining whether more women than men prefer the beach to the mountains. In a random sample of 2

exis [7]

Answer:

$SE=\sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

$SE=\sqrt{\frac{0.52(1-0.52)}{300} +\frac{0.45 (1-0.45)}{200}}=0.0455$

The margin of error would be:

$M = z* SE = 2.576*0.0455=0.1172$

$(0.45-0.52) - 0.1172=-0.047$

$(0.45-0.52) + 0.1172=0.187$

So then the correct option for this case would be:

a. − 0.07 ± 0.1172

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion of men

$\hat p_A =0.52$ represent the estimated proportion of men

$n_A= 300$ the random sample for male

$p_B$ represent the real population proportion of female

$\hat p_B =0.45$ represent the estimated proportion of female

$n_B =200$ the random sample for female

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_B -\hat p_A) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.576$

The standard error is given by:

$SE=\sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

$SE=\sqrt{\frac{0.52(1-0.52)}{300} +\frac{0.45 (1-0.45)}{200}}=0.0455$

The margin of error would be:

$M = z* SE = 2.576*0.0455=0.1172$

And replacing into the confidence interval formula we got:

$(0.45-0.52) - 0.1172=-0.047$

$(0.45-0.52) + 0.1172=0.187$

So then the correct option for this case would be:

a. − 0.07 ± 0.1172

4 0

3 years ago