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Margaret [11]
3 years ago
8

Solving Equations by Adding or Subtracting Fractions Show all working e- 116 = - 78

Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer: 38

Step-by-step explanation:

e - 116 = - 78

Collect like terms

e = -78 + 116

e = 38

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each of the 20 balls is tossed independently and at random into one of the 5 bins. let p be the probability that some bin ends u
amm1812

if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.

First, let us label the bins with 1,2,3,4,5.

Applying multinomial distribution with parameters  n=20  and  p1=p2=p3=p4=p5=15  we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:

5−2020!3!5!4!4!4!

But of course, there are more possibilities for the same division  (3,5,4,4,4)  and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:

p=20×5−2020!3!5!4!4!4!

In a similar way we find:

q=1×5−2020!4!4!4!4!4!

So:

pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16

thus, pq = 16.

To learn more about Probability visit: brainly.com/question/29508225

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7 0
1 year ago
A group of friends chartered a deep-sea fishing boat out of destin, fl. the graph below represents the total cost, in dollars, o
Elenna [48]

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

From the graph:

The cost for a group of 16 friends is $2500, while for a group of 10 friends is $1300.

Cost per passenger for 16 friend = $2500 / 16 = $156.25

Cost per passenger for 10 friend = $1300 / 10 = $130

The difference in price = $156.25 - $130 = $26.25

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

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3 0
3 years ago
The sum of two integers is 54 and the difference is 10. Fin the integers
Setler [38]

Answer:x + y = 54

x - y = 10

Add them to get: 2x = 64

x = 32

and plugging in x = 32 to either equation: y = 22

Ans: the numbers are 22 and 32

Step-by-step explanation:

4 0
4 years ago
An audio cable is 15.9 dm long. How long is the cable in meters?
sveta [45]

1.59 meters is the correct answer i think.

3 0
3 years ago
Read 2 more answers
The area of a square is 100. The length of its diagonal is approximately:
mr_godi [17]

Answer:

10\sqrt{2\\} \\ or 14.14 appromiximately

Step-by-step explanation:

Area of square = 100

So length on side = 10 because all sides of square equal.

Length of Diagonal = Side x \sqrt{2}

So the length of diagonal is 14.14 approximately

6 0
3 years ago
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