Answer:
Given
length of rectangular sheet of paper is 12 (1/2) i.e. (25/2)
Breadth of rectangular sheet of paper is 10 (2/3) i.e. (32/3)
But we know that perimeter of rectangle = 2 (length + breadth)
Perimeter of rectangular sheet = 2 [(25/2) + (32/3)]
LCM of 2 and 3 is 6,
by taking this and simplifying we get
Perimeter = 2[(25 × 3)/6 + (32 × 2)/6]
= 2[(75/6) + (64/6)]
= 2(139/6) = (139/3)
= 46 (1/3) cm
Answer:
0.833
Step-by-step explanation:
1. locate which vertical column of the graph we are referring to:
2. calculate the total number of trials student 7 did:
- if in 5 trials the tack landed point-up, and in 1 trial the tack did not land point-up, the total number of trials is 6
- 5 + 1 = 6
3. refer back to the question:
- the question states: "what is the experimental probability that the tack lands point-up"
4. interpret the graph:
- of the 6 trials student 7 underwent, the graph tells us that 5 landed point-up.
- therefore the experimental probability of a tack landing point up is 5/6 (in 5 out of the 6 trials, the tack landed point-up)
5. converting from fraction to decimal:
- all the given answers are given in decimal form, whilst our current answer (5/6) is in fraction form.
- to convert to decimal form, simply divide the top number by the bottom number
- 5 ÷ 6 = 0.833
therefore, the experimental probability that the tack will land point-up, is 0.833
hope this helps :)
In Problem 13, we see the graph beginning just after x = -2. There's no dot at x = -2, which means that the domain does not include x = -2. Following the graph to the right, we end up at x = 8 and see that the graph does include a dot at this end point. Thus, the domain includes x = 8. More generally, the domain here is (-2, 8]. Note how this domain describes the input values for which we have a graph. (Very important.)
The smallest y-value shown in the graph is -6. There's no upper limit to y. Thus, the range is [-6, infinity).
Problem 14
Notice that the graph does not touch either the x- or the y-axis, but that there is a graph in both quadrants I and II representing this function. Thus, the domain is (-infinity, 0) ∪ (0, infinity).
There is no graph below the x-axis, and the graph does not touch that axis. Therefore, the range is (0, infinity).
Answer:
total = 96 sweets
Step-by-step explanation:
sweets shared in the ratio 4 : 5 : 7 = 4x : 5x : 7x ( x is a multiplier )
Seth got 18 more sweets than Frank , that is
7x = 4x + 18 ( subtract 4x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Then
total = 4x + 5x + 7x = 16x = 16 × 6 = 96 sweets
-4+x=3/4x-4.5
x=3/4x-.5
.25x=.5
x=2