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3 years ago

What could be possible first step in solving equation x + 6=3x-2?

Mathematics

1 answer:

kozerog [31]3 years ago

7 0

Answer:

x=4

Step-by-step explanation:

you subtract the x on both sides

6=2x-2

then you add 2 on both sides

8=2x

then divide 2 on both sides

and you get x=4

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A triangle has the side lengths of 28 in,4in and31 inches. classify it as acute, obtuse or right

labwork [276]

The answer is obtuse

a = 4
b = 28
c = 31

If a² + b² > c² - the angle is acute
If a² + b² < c² - the angle is obtuse
If a² + b² = c² - the angle is right

a² + b² = 4² + 28² = 16 + 784 = 800
c² = 31² = 961

800 < 900
a² + b² < c²

Therefore, the angle is obtuse

7 0

3 years ago

When n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6?

trapecia [35]

For some number to be divisible by 12 it has to be divisible by 6 and by 2.
we can write number n as:

n = 6 + 12*k where k is positive integer.
If we divide n by 12 we will get remainder 6 because 12*k part is divisible by 12.
The part 12*k is as said divisible by 12 which means it is divisible by 6 (as first stated) and it has remainder 0. That leaves us with 6/6 which again has 0 as remainder. That means that number n is divisible by 6

The answer is 0

7 0

3 years ago

Read 2 more answers

Five members of the Varsity Math team are running late for a big

forsale [732]

Answer: What is the question?

6 0

3 years ago

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So