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miss Akunina [59]
4 years ago
14

Find the remainder when 6a3 - 2a2 + 7a – 12 is divided by – 4 + 3a

Mathematics
1 answer:
Cloud [144]4 years ago
4 0

Answer:

remainder = 8

answer is: 2a^(2) + 2a + 5 remainder 8

Step-by-step explanation:

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Which property does the following statement illustrate? (a+b)c = (b+a)c
ludmilkaskok [199]
I believe the answer is b I think
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3 years ago
Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the
kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

45 boxes, which means that N = 45

22 have the secret decoder ring, which means that k = 22

Two boxes, which means that n = 2

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333

0.2333 = 23.33% probability that both of them have the secret decoder ring

8 0
3 years ago
Systems of equations <br> 2x+2y=16<br> 2x+6y=28
Sholpan [36]
2x+2y=16
<span>2x+6y=28

all you have to do is subtract to get rid of the 2x and solve for y

2x+2y = 16
-2x-6y = -28
---------------------------
0 -4y = -12
y = 3

now we got y we can plug in or do the systems of equation again and find x.  lets do systems of equations again. 

</span>2x+2y=16
<span>2x+6y=28
</span><span>
this time i am going to multiple the top by -3  and then add the equations hopefully it is clear why I multiple by -3 
</span><span>
-3(2x+2y = 16)
2x +6y = 28 

-6x - 6y = -48
</span>2x +6y = 28 
------------------------
-4x + 0y = -20

x = 5 
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A drawer contains 6 blue socks, 8 white
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You would most likely choose the purple one the answer is A and perimeter is 8
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I suck at fractions any tips on how to do it
Vladimir [108]
Add the top then add the bottom
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