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Zigmanuir [339]
2 years ago
6

Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?

Mathematics
1 answer:
just olya [345]2 years ago
4 0

Answer:

5b + 12c

Step-by-step explanation:

-5a +5 a = 0

12b-7b = 5b

12c= 12c

therefore you have the expression 5b+12c

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Simplify by combining like terms: 5x + 3x + 10x
Maurinko [17]

Answer:

18x

Step-by-step explanation:

Since all 3 are monomial terms with the same variable, we can add them together:

5x + 3x = 8x + 10x = 18x

8 0
3 years ago
Read 2 more answers
An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do
vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

5 0
3 years ago
The formula for a sequence or series used to find any term in that sequence or series
ANTONII [103]

Step-by-step explanation:

Tn = a + (n - 1) d

Where

Tn is the nth term of the sequence

a is the first term of the sequence

n is the number/term of the sequence to be solved

d is the common difference

6 0
3 years ago
Rosa is putting cube-shaped tissue boxes into a shipping crate. each tissue box has a side length of 4 inches. The volume of V o
Elena L [17]

Answer:

V = 64 and V = 2,048

Step-by-step explanation:

The volume of a cube is found using V = s*s*s. Substitute s = 4.

The volume is V = 4*4*4 = 64.

The volume of the crate is 32 * 64 = 2,048.

3 0
3 years ago
Help fast !!!! I need to get this done before I go to school ixl AA.1
Lorico [155]

Answer:

slope = - \frac{7}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 7 ) ← 2 points on the line

m = \frac{-7-0}{0-(-5)} = \frac{-7}{0+5} = \frac{-7}{5} = - \frac{7}{5}

4 0
2 years ago
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