Answer:
c. Not significant at .055
Step-by-step explanation:
When a pair of dice is rolled, we have 6²=36 possible outcomes. Only 2 of these outcomes have a total score of 11:
- When the first dice is 5 and the second is 6.
- When the first dice is 6 and the second is 5.
Then, we can calculate the probability of getting 11 as the quotient between the successs outcomes and the total outcomes.
Then, the probability of getting 11 is:

This probability is not equal or less than 0.05, so it is not significant at 0.055.
Answer:
Ratio of the perimeters =3:1
Step-by-step explanation:
We have given that : Ratio of the sides of two squares is 3:1
To find : Ratio of their perimeters
Solution : Let the length of the sides are 3:1 = 3x : x
Formula of perimeter of square = 4(side)
Using the formula ,
Perimeter of 1 square = 4×3x= 12x
Perimeter of 2 square = 4×x= 4x
Ratio of the perimeter of 1 square and 2 square = 12x : 4x
= 3 : 1
Answer:

Step-by-step explanation:
The volume V of the fountain is equal to:
V = L*W*h
Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain
We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:
L = 18 - 2x
W = 12 - 2x
So, replacing L, W and h on the equation of the volume, we get:
V = (18-2x)*(12-2x)*x
Finally, simplifying the function we get:


<h3>The ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1</h3>
<em><u>Solution:</u></em>
Given that,
Five hundred sixth-grade students were surveyed
Which means,
sixth-grade students = 500
125 had traveled on an airplane
<em><u>What is the ratio of total sixth-grade students to the number of students who had traveled on an airplane?</u></em>
Therefore,
total sixth-grade students : students traveled on airplane = 500 : 125
<h3>Ratio = 500 : 125</h3>
Reduce to lowest terms,
Divide both sides by 5
<h3>Ratio = 100 : 25</h3>
Further reduce to simplest terms,
Divide both sides by 25
<h3>Ratio = 4 : 1</h3>
Thus the ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1
(1,1) because x + 2y <4
=1 + 2(1)
= 3 which is less than 4