分数计算器

During a four-day period, a height measurement and a weight measurement were recorded shortly after delivery for each baby born in a particular hospital. The 19 babies in the study were divided into two groups, Group A and Group B. The chart shows the length, in centimeters (cm), and weight, in kilograms (kg), for each of the 19 babies.

Based on the given information, use the drop-down menus to most accurately complete the following statements.

The correlation between length and weight for the babies in the study is .

If a baby with weight less than 3.5 kg were selected at random, the probability that the baby would be a part of Group A is .

Advice from a computer security expert, on passwords used for accessing online accounts:

Computer users should use a different password for each online account. They should also use strong passwords, which are hard for hackers to decipher. However, strong passwords are difficult to remember, and this is especially the case for users who have multiple online accounts.

Fortunately, software is available at no cost that can store and encrypt a user’s passwords: the user need only remember one password to access the rest. For users willing to take the time to install the software on a computer and enter all the required data, such software provides one way to comply with my advice. Some versions of the software can even be copied to a portable device, such as a USB drive, whereby a user can access passwords from any compatible computer.

For computer users with multiple accounts who would not otherwise use a different strong password on every account, the expert’s advice amounts to suggesting that such users make certain sacrifices in order to make certain gains. Indicate by appropriate selections in the first and second column which of the items in the third column such users would sacrifice and which they would gain. Make only two selections, one in each column.

Of the 800 sweaters at a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

(1) 320 of the sweaters at the store are neither red nor made of pure wool.

(2) 100 of the red sweaters at the store are not made of pure wool.

The flowchart represents a mathematical algorithm that takes two positive integers as the input and returns a positive integer as the output. Processes are indicated in the rectangular symbols in the flowchart. Each process is symbolized by an equation, such as T = T + a. In this particular process, the current values of the variables T and a are added together and the sum then becomes the value of T. For example, if the value of T is 3 and the value of a is 7 before the process T = T + a is completed, then the value of T is 10 and the value of a is 7 after the process is completed.

Use the drop-down menus to fill in the blanks in the following statements based on the algorithm represented by the flowchart.

If 24 and 35 are entered as the values for a and b, respectively, then the first nonzero value of T is .

If 35 and 27 are entered as the values for a and b, respectively, then after the process is completed for the second time, the value of b is .

For a basic monthly fee of F yen, Noako's first cell phone allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged M yen, making his total charge for the month T yen, where T = F + xM. What is the value of M?

(1) Naoko used 450 minutes on calls the first month and the total charge for the month was 13, 755 yen

(2) Naoko used 400 minutes on calls the second month and the total charge for the month was 13, 125 yen