Answer:
The probability of both dice having the same number is 636, as there are 36 different outcomes, 6 of which have two of the same number, i.e. (1,1),(2,2),....
The expected number of rolls of this type in 100 pairs of dice rolls is 100∗636
Answer:
Patrick walk approximately <u>112 yards</u>.
Step-by-step explanation:
Given:
A rectangular field is 50 yards wide and 100 yards long.
Patrick walks diagonally across the field.
Now, to find the distance he walk.
Length of the field = 100 yards.
Width of the field = 50 yards.
Now, to get the diagonal distance we put formula:





Therefore, Patrick walk approximately 112 yards.
Answer:
x=7
Step-by-step explanation:
Information provided
Weight of ant=
Weight of lion=
but units are not provided, assuming this unit is also grams
How many times lion's weight exceed an ant

=
Therefore, the value of x=7 if the unit for weight of lion is assumed to be same as unit for weight of an ant
Answer:
6 miles.
Step-by-step explanation:
Let x be the total distance hoped by Kangaroo to the lake.
We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.
She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:

Let us solve for x by multiplying both sides of our equation by 3/2.



Therefore, the total distance hoped by the kangaroo is 10560 yards.
1 mile = 1760 yards
Let us convert this distance in miles by dividing 10560 yards by 1760.




Therefore, the kangaroo hoped 6 miles to the lake.