At a large university, data were collected on the number of sisters and brothers that each student had. Let the random variable

Answer:

Upper limit: 3.116

Lower limit: 3.125

Step-by-step breakdown:

The random circle drawn by Hellen has a circumference of C=405 mm, measured to 3 significant figures, leading to a diameter, d, of 130 mm, accurate to 2 significant figures.

We utilize the formula

Substituting in the figures provides:

Consequently, Hellen’s value for π is recorded as 3.115 to three decimal places.

To find both limits, we divide the specified level of precision by two.

This figure is then added to the rounded number to determine the upper limit:

3.115+0.0005=3.1155

The lower limit calculates as 3.115-0.0005=3.1145

Question

Which expression is equivalent to . Assuming

Answer:

Step-by-step explanation:

Given

Required:

Simplify

To achieve simplification, we begin by dividing each function individually

According to the properties of indices

Thus, the aforementioned expression can be restated similarly

From the indices laws

So,

Therefore, can be regarded as