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3 years ago

What 3 integers add up to 153

Mathematics

2 answers:

iris [78.8K]3 years ago

5 0

51, 51, 51 153 divided by 3 is 51. If you want different ones u could do:
50, 49, 54

Komok [63]3 years ago

4 0

100, 30, 23 (of course there is many more answers)

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There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

7 0

4 years ago

Evaluate.12÷(2+2/3)2 6 4/9 4 1/2 3 2/3 1 11/16

arlik [135]

Answer:

are you just typing

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A stick is broken into two pieces, at a uniformly random break point. Find the CDF and average of the length of the longer piece

Oksanka [162]

Answer:

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

Step-by-step explanation:

let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that

U≤ l and 1-U ≤l

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

this means 1-l≤U≤l

so we have

if we have L [1/2,1]

then apply the formula we have E(L)=3/4

5 0

3 years ago

Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.

lesantik [10]

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

3 0

3 years ago

Two sides of a triangle have lengths 11 and 18. What must be true about the length of the third side

Anit [1.1K]

It can either be equivalent to 11 or 18.

4 0

3 years ago