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dybincka [34]
3 years ago
6

If two events are mutually​ exclusive, why is ​? Choose the correct answer below. A. because A and B each have the same probabil

ity. B. because A and B cannot occur at the same time. C. because A and B are independent. D. because A and B are complements of each other.
Mathematics
1 answer:
svetlana [45]3 years ago
3 0

Answer:

B. because A and B cannot occur at the same time.

Step-by-step explanation:

If two events are mutually​ exclusive, why is ​? Choose the correct answer below.

A. because A and B each have the same probability.

B. because A and B cannot occur at the same time.

C. because A and B are independent.

D. because A and B are complements of each other.

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A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

pounds for large boxes     +    pounds for small boxes      =    4200pounds

                 "the truck is carrying a total of 4200 pounds in boxes"

 

        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0
2 years ago
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In a toy store, the ratio of the number of dolls to teddy bears is 6:7. If the store has 120 dolls, how many teddy bears are the
VMariaS [17]
Dolls : teddy bears
6 : 7

if 120 dolls are equal to 6 portions,
7 portions,
(120/6) * 7
140 teddy bears
6 0
3 years ago
Help help help helpppp ASAP!
Margarita [4]

Answer: 12n-10= -58

+10. +10 (add to both sides)

12n. = -48

÷12. ÷12 (isolate variable)

n. = -4

6 0
3 years ago
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A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
dedylja [7]

Answer:

14

Step-by-step explanation:

d=c/pi

45/pi=14

6 0
3 years ago
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MJ solved the equation -5x - 16 = 5
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Answer:

Step-by-step explanation: He add 16 together you are not suppose to add 16 you are suppose to add 5 together so instead of 16 + 16 you do 16+ 5

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3 years ago
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