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NNADVOKAT [17]
3 years ago
7

A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A secon

d machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion band? Write your answer as a fraction.
Mathematics
1 answer:
babunello [35]3 years ago
6 0

Answer:

1/20

Step-by-step explanation:

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How many gallons will you get if you mix 3 pints, 6 quarts, and 2 cups
Umnica [9.8K]

Answer:

11

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What are the coordinates of the midpoint of the segment whose endpoints are A (1,6) and B (5,-2)?
Alexandra [31]
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad 
B(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})
\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{5+1}{2}~~,~~\cfrac{-2+6}{2} \right)\implies (3~,~2)
6 0
3 years ago
N − 2/3 = 25 3/4 help now
Sav [38]

Answer:

26 5/12

Step-by-step explanation:

n − 2/3 = 25 3/4                            Add 2/3 to both sides

n - 2/3 + 2/3 = 25 3/4 + 2/3         Combine

n = 25 3/4 + 2/3

Work with the fractions

3/4 + 2/3                                      The lowest common denominator is 12

(3*3)/(3*4) = 9 / 12

(2*4)/(3*4) = 8/ 12

9/12 + 8/12 = 17/12 = 1 5/12

Now you need to add 1 to 25

1 + 25 = 26

And add the fraction 5/12

The answer is 26 5/12

5 0
3 years ago
in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.
Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

hypotenuse^2=base^2+perpendicular^2

Use pythagoras formula for triangle PQM.

PM^2=QM^2+PQ^2

PM^2=(6)^2+(8)^2

PM^2=36+64

PM^2=100

PM=10

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

PQ^2=QR^2+PR^2

(8)^2=QR^2+x^2

64-x^2=QR^2                   .....(1)

Use pythagoras formula for triangle MQR.

MQ^2=QR^2+MR^2

(6)^2=QR^2+(10-x)^2

36=QR^2+x^2-20x+100

36-x^2+20x-100=QR^2        .... (2)

From equation (1) and (2) we get

36-x^2+20x-100=64-x^2

20x-64=64

20x=128

x=6.4

Therefore length of PR is 6.4 units and option 4 is correct.

3 0
3 years ago
5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of
leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0
3 years ago
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