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HACTEHA [7]
3 years ago
8

A. Write the given equation in standard form.8x+3y+6=0

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

8x+3y=-6

Step-by-step explanation:

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WRTH 50 PNTS!
andrew-mc [135]

Answer:

So, Michael completed the proof incorrectly because ∠AKG ≅ ∠AKL  are not congruent because they are not vertically opposite angles.

Step-by-step explanation:

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2 years ago
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KATRIN_1 [288]

Answer:

False -Demartra

Step-by-step explanation:

8 0
3 years ago
There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, wh
Mrac [35]

Answer:

20.5\%

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5},

The \frac{1}{5} represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The \frac{4}{5} represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): \binom{5}{2}=10.

Therefore, the probability the student gets two questions correct is:

\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}

6 0
3 years ago
A pharmacist receives a shipment of 22 bottles of a drug and has 3 of the bottles tested. If 5 of the 22 bottles are contaminate
Norma-Jean [14]

Answer:

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

Step-by-step explanation:

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

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

In this problem, we have that:

Total number of combinations:

C_{22,3} = \frac{22!}{3!(18)!} = 1540

Desired combinations:

It is 1 one 5(contamined) and 2 of 17(non contamined). So:

C_{5,1}*C_{17,2} = 5*17*8 = 680

What is the probability that exactly 1 of the tested bottles is contaminated?

P = \frac{680}{1540} = 0.4416

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

5 0
3 years ago
What is the rate of change shown in the graph
ahrayia [7]

Answer:

-4/3  (Answer A)

Step-by-step explanation:

Here we go from the point (-3, 3) on the left to the point (0, -1) on the right.  It is immediately apparent that x (the run) increases by 3 from -3 to 0 and that y (the rise) decreases by 4 from 3 to -1.  Thus, the slope of this line (which is also the rate of change) is

m = rise / run = -4/3  (Answer A)

7 0
4 years ago
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