What is the product of the binary numbers 0101 and 0101?

Select the correct answer.

tigry1 [53]

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation $s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155$

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

6 0

3 years ago

Read 2 more answers

Need help with 1st question !!! Will mark brainlest!!

hjlf

You would calculate this answer with the Pythagorean theorem. The formula is a² + b² = c², which basically means that the sum of two sides squared would equal the side that is missing.
Currently, we are given 6.5 for side 1. The angle measurments we are given is 45º and 90º [the right angle], which means that if we subtract the sum of 45 and 90 from 180 [the total degree amount of every triangle] we can get the missing angle. With the missing angle, we can calculate the length of the second side.
45º + 90º = 135º. 180º - 135º = 45º.
Now that we have the angles of all three sides [45º, 90º, 45º] we can find the second length of the triangle. The fact that two angles are the same [45º] means that the length is also the same.
Thus proving that M is also 6.5 in length, we can square 6.5 and add both sides to each other once squared.
6.5² = 42.25.
42.25 + 42.25 = 84.5.
The square root of 84.5 is 9.19, or 9.2 rounded.