What Is The Length Of Side BD?
1 answer:
This is a rectangle, meaning that all angles are right angles and all sides opposite to one another have equal length.
Since the length of CD is 24, the length of AB must also be 24.
Angle B is a right angle because this is a rectangle.
See anything? I'll you a hint. We have a right triangle with only one missing value.
What do we use to solve for missing lengths in a right triangle? The Pythagorean theorem, of course!
The length of c (the hypotenuse) is 26.
The length of a (one leg) is 24.
The length of b is unknown and we want to find it.
Subtract 576 by both sides.
Take square root of both sides.
The length of the missing leg is 10, meaning that the length of BD is 10.
This is what you should be needing. Enjoy!
Since the length of CD is 24, the length of AB must also be 24.
Angle B is a right angle because this is a rectangle.
See anything? I'll you a hint. We have a right triangle with only one missing value.
What do we use to solve for missing lengths in a right triangle? The Pythagorean theorem, of course!
The length of c (the hypotenuse) is 26.
The length of a (one leg) is 24.
The length of b is unknown and we want to find it.
Subtract 576 by both sides.
Take square root of both sides.
The length of the missing leg is 10, meaning that the length of BD is 10.
This is what you should be needing. Enjoy!
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Answer:
2/35
Step-by-step explanation:
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×
The answer would be .
Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,
And the standard deviation of the distribution of sample mean is given by,
The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.
Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.