Calculate: \( 1 \frac{7}{20} : 2.7 \)
Find the first three terms of a sequence given by the general formula $\( a_n = 4n - 1$. \)
A. \( a_1 = 2; a_2 = 5; a_3 = 11 \)
B. \( a_1 = 2; a_2 = 5; a_3 = 11 \)
C. \( a_1 = 1; a_2 = 3; a_3 = 5 \)
D. \( a_1 = 3; a_2 = 7; a_3 = 11 \)
Fishermen competed in a fishing contest. The results are shown in the following table:
| Number of fish caught | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency (Fishermen) | 1 | 2 | 2 | 4 | 0 | 1 |
a) How many fishermen participated in the contest?
b) On average, how many fish did one fisherman catch?
c) Find the Mode , Median , and Range .
The sum of two numbers is 48.6. If these numbers are in a ratio of 4:5, find each number.
There were 10 white balls in a bag. Find the probability of randomly picking a red ball from the bag.
The base of an isosceles triangle is 15. If the perimeter is 85, find the length of a side (leg).
Find the probability of rolling a number divisible by 3 when rolling a standard die.
Given the data set: \( 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, \) find:
a) The range of the data.
b) The mode of the data.
c) The median of the data.
d) The arithmetic mean (average) of the data.
Calculate the value of:\( (6 \frac{7}{12} - 3 \frac{17}{36}) \cdot 2.5 \)
Multiply term-by-term (expand) and simplify the expression: \( 4(2z + y) + 3(4z - 3y) = \)