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natita [175]
3 years ago
13

In AKLM, the measure of ZM=90°, the measure of ZL=76°, and LM = 99 feet. Find

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

99

Step-by-step explanation:

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Consider a computer that uses 6 bits to represent integers: 1 bit for the sign and 5 bits for the actual number. What's the larg
ycow [4]

Answer:

31

Step-by-step explanation:

Therefore, range of 5 bit unsigned binary number is from 0 to (25-1) which is equal from minimum value 0 (i.e., 00000) to maximum value 31 (i.e., 11111).

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Maddie converts z = 8(cos(300°) + isin(300°)) into rectangular form z = a + bi and determines that a = 4 and b = 4 StartRoot 3 E
Anastaziya [24]

Answer:

Option C) The value of a is correct, but the value of b is incorrect.

Step-by-step explanation:

z = 8(cos(300°) + isin(300°))

z = 8cos(300°) + 8isin(300°)

z = 4 + i(-4\sqrt{3})\\z=4-i(4\sqrt{3} )\\

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8 0
2 years ago
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The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 52 yd^2. Find the dimensions of th
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Answer:

the length is 8 and the width is 6.5

Step-by-step explanation:

6.5 x 2 = 13 - 5 = 8 x 6 = 52

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3 0
3 years ago
Community college students conduct a survey at their college. They ask "Do you plan to transfer to a university to pursue a bacc
Tamiku [17]

Answer:

0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697

0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

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".  

Solution to the problem

For this case the conditions we have the conditions to assume a normal distribution for the population proportion since:

np=100*0.8=80 >10 , n(1-p) = 10*(1-0.8) =20 >10

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The estimated proportion is given by \hat p =\frac{80}{100} =0.8. If we replace the values obtained we got:

0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697

0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

6 0
3 years ago
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