Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is

surface area = 4 x pi x r^2

diameter is 1, thus radius = 1/2 = 0.5

4 x 3.14 x 0.5^2 = 3.14 square meters

D1,..,d9 = 0,0,2,2,2,3,4,6,8 //there are 9 values, presented in ascending order
Q2 (median) = d5 = 2 //middle value
Q1 = (d2+d3) / 2 = (0+2)/2 = 1
(Q1 represents the median of d1,d2,d3,d4, but as there is no singular middle element among four, the average is computed)
Q3 = (d7+d8) / 2 = (4+6)/2 = 5
interquartile range = IQR = Q3 - Q1 = 5 -1 = 4
final answer: 4

Keep in mind that when factoring by grouping, we should divide the expression into two pairs that share some commonality. The goal is to create a common binomial factor after we factor each pair. It's important to mention that there can be multiple ways to pair the factors.

Let's explore the method of finding the factors of our expression through grouping:

Step 1. Identify shared multiples among the terms.

We can see that 4 and 8 are multiples of 2, 8 is a multiple of 4, and all are multiples of 1, suggesting various pairing options.

Step 2. Identify common variables.

Typically, we should pair variables that have the highest exponents to ensure that when factoring each group, we derive another common binomial factor.

Step 3. Factor each group; if it leads to another common binomial factor, you did it correctly. If it doesn't, try again.

Let's use these steps on our expression

For step 1, we are grouping and . Don't forget to pair the leftover factors too.

The common factor for the first group is , which we will factor out.

Look at that! We obtained the common binomial factor . Sadly, isn't among our provided choices, so we'll attempt this again:

This time, let's group the higher variables from step 2: and

The common factor in the first group turns out to be , and in the second one, it's -2, so we'll factor both of them out:

Now, we have chosen option A.

Therefore, we can conclude that the correct answer is: A) x2(4x + 1) – 2(4x + 1)

Answer:

0.8894 represents the likelihood of a negative test result given that the disease is present.

Step-by-step explanation:

We are provided the following in the question:

P(Disco Fever) = P( Disease) =

Thus, we can express:

P(No  Disease) =

P(Test Returns Positive with disease present) = 0.99

P( false-positive) = 4%

We need to assess the likelihood of a negative test result when the disease is indeed present, i.e.,

P(test result being negative while disease is present)

According to Bayes's theorem, we can write:

0.8894 is the probability that the test result returns negative when the disease exists.

Answer:22

1

7

18

Step-by-step explanation:

edg2020