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andre [41]
3 years ago
10

8. Fill in the missing reasons (one for each step).

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

The answer would be B) 15-6y=27

Step-by-step explanation:

Pull out like factors :

 -12 - 6y  =   -6 • (y + 2)

Solve  :    y+2 = 0  

Subtract  2  from both sides of the equation :  

y = -2

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Modular arithmetic<br> Pls a little explaine it
fredd [130]

Step-by-step explanation:

(72)¹⁴³ ≡ x (mod 7)

Since 72 ≡ 2 (mod 7),

72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).

Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)

≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).

The answer is A.

6 0
3 years ago
A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob
UkoKoshka [18]

Answer:

The probability that 8 mice are​ required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

P(X=r)=^nC_r p^rq^{n-r}

Where, p is the probability of success p=\frac{2}{7}

q is the probability of failure q=1-p, q=1-\frac{2}{7}=\frac{5}{7}

n is total number of trials n=8

r=3

Substitute the values,

P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}

P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}

P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}

P(X=3)=0.2428

Therefore, the probability that 8 mice are​ required is 0.2428.

5 0
4 years ago
Write the following equation in the general form Ax + By + C = 0 <br> 2x + y = 6
ki77a [65]
The Answer is 2x + Y - 6 =0
5 0
3 years ago
What is the slope of the line parallel to the line Y equals - 3X -8
Georgia [21]

Answer:

-3 is the slope.

Step-by-step explanation:

8 0
3 years ago
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You borrow $2,000 for a period of 4 years. You are charged simple interest at a rate of 3%. How much will you repay at the end o
MariettaO [177]

Answer:

2

Step-by-step explanation:

2

6 0
3 years ago
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