1 1/3 repeating because you will get the dash over it
Answer:
The mode of the data set is 4.
Step-by-step explanation:
Hey there!
The <u>mode</u> of a data set is the most commonly occurring data value in that set.
To begin, we need to organize the data set in <u>increasing order</u>:
1, 1, 2, 3, 4, 4, 4, 6, 6, 10
Then, we can tally the <u>frequency</u> of each data value occurring in the data set:
1 - II
2 - I
3 - I
4 - III
6 - II
10 - I
We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.
Learn more about <u>mode</u> here: brainly.com/question/11163338
Answer:
1453 cm²
Step-by-step explanation:
The area of a regular polygon is given in terms of its perimeter and apothem by ...
A = (1/2)Pa
A = (1/2)(145.3 cm)(20 cm) = 1453 cm²
The area of the pentagon is 1453 square centimeters.
Since Irina can paint 1 room in 9 hours, that means she paints 1/9 of the room in 1 hour. Her portion of the equation would be 1/9x, with x being the number of hours she works and 1/9 of a room per hour being her speed.
Since Paulo can paint 1 room in 8 hours, that means he paints 1/8 of the room in 1 hour. His portion of the equation would be 1/8x, with x being the number of hours he works and 1/8 of a room per hour being his speed.
The equation would then be 1/9x + 1/8x = 1 (Irina's portion of the room, plus Paulo's portion of the room, equal to one whole room).
Find a common denominator. 72 is the first number that both 9 and 8 divide evenly into. Since 9*8 = 72, we multiply the top of 1/9 by 8 to convert the fraction and get 8/72x. Since 8*9 = 72, we multiply the top of 1/8 by 9 to convert the fractio and get 9/72x. We now have 8/72x+9/72x=1
17/72x=1
Divide both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
x=1/1 ÷ 17/72
x=1/1 * 72/17
x=72/17=4.24
Together it should take them 4.24 hours.
