Answer:
5/11
explanation
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
The length of other base of trapezoid is 10 miles
Step-by-step explanation:
The formula for area of trapezoid is:

We know that
A = 42 square miles
b_1 = 4 miles
h = 6 miles
Putting the values

The length of other base of trapezoid is 10 miles
Keywords: Area of trapezoid
Learn more about area at:
#LearnwithBrainly
We can use the distance formula to calculate perimeter:
= Distance
From A to B: √232
From B to C: 10
From C to A: √52
10 + √232 + √52 = 10 + 2√58 + 2√13
Perimeter = 10 + 2√58 + 2√13 units
For Area we can use matrices, but since one of the sides is horizontal, we can just calculate with distance formula and area of triangle formula.
The area of a triangle formula is 1/2(h x b)
h=height
b=base
So the height is 6 and the base is 16. (I graphed it.)
16 * 6 = 96 96/2 = 48 Area: 48 square units.
Answer:
15 seconds
Step-by-step explanation:
Simply assume that total length to be covered be 'L'.
Now ,
of total length L is covered in time
.
We know distance traveled =speed×time
Let Object's velocity be V
Using this


Thus, velocity in terms of total length is

Now,
To cover total length L time needed is


Time taken =15 seconds
Answer:
Number of 5 dollar bills = 23
Number of 10 dollar bills = 13
Step-by-step explanation:
Let number of 5 dollar bills be x
and the number of 10 dollar bills be y
Total $245, means we can write:
5x + 10y = 245
Ten more 5 dollar bills than 10 dollar bills, means:
x - 10 = y
Now we substitute 2nd equation in first and solve for x:

Also,
y = x - 10
y = 23 - 10 = 13
So there are 23 5-dollar bills and 13 10-dollar bills