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3 years ago

7. What is the slope in the equation y=-6x+4?

Mathematics

1 answer:

lana [24]3 years ago

5 0

7. The slope is the number with the x next to it, so it would be -6x

8. The y-Intercept is the number WITHOUT the x, in this case would be -5

9. You always want the equation to be in y = M(slope)x + b(y-intercept). Subtract 2x on both sides to get 4y = -2x + 12. Divide both sides by 4 to leave y by itself. That leaves us with y = -1/2 + 3

10. Same thing minus x on both sides to get -3y = -x + 6. And since you don’t want a negative y, you need to divide by a negative. Divide both sides by -3 to get y = 1/3 -2. When you divide a number by a negative, it changes the sign in front of the number.
Hope this helps!

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A company that produces fine crystal knows from experience that 13% of its goblets have cosmetic flaws and must be classified as

Kisachek [45]

Answer:

(a) The probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b) The probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

Step-by-step explanation:

Let X = number of seconds in the batch.

The probability of the random variable X is, p = 0.31.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the probability that only one goblet is a second among six randomly selected goblets as follows:

$P(X=1)={6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=6\times 0.13\times 0.4984\\=0.3888$

Thus, the probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b)

Compute the probability that at least two goblet is a second among six randomly selected goblets as follows:

P (X ≥ 2) = 1 - P (X < 2)

$=1-{6\choose 0}0.13^{0}(1-0.13)^{6-0}-{6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=1-0.4336+0.3888\\=0.1776$

Thus, the probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c)

If goblets are examined one by one then to find four that are not seconds we need to select either 4 goblets that are not seconds or 5 goblets including only 1 second.

P (4 not seconds) = P (X = 0; n = 4) + P (X = 1; n = 5)

$={4\choose 0}0.13^{0}(1-0.13)^{4-0}+{5\choose 1}0.13^{1}(1-0.13)^{5-1}\\=0.5729+0.3724\\=0.9453$

Thus, the probability that at most five must be selected to find four that are not seconds is 0.9453.

8 0

3 years ago

What is 7.04 trillion in scientific notation

slega [8]

Answer:

7.04 trillion = 7.04 x 10¹²

Step-by-step explanation:

4 0

3 years ago

Knowing that this number, the Golden Ratio, is present not just in mathematics, but may also be present within your own brain an

pychu [463]

The Golden Ratio is a mathematical relationship that exists in art, shapes, nature and the human body. The golden ratio can be present in your body, from the length of your arms and legs when compared to your torso. Fingers is another example because the length of our fingers, each section from the tip of the base to the wrist is larger than the preceding.

The measurement of the human navel to the floor and to the top of the head to the navel is also the Golden ratio. Plastic surgeons and dental surgeons use it to reconstruct the human face. It also appears in everything around us like in the nature and science. It appears on in flower petals because it is believed that each petal is placed to so that each petal gets the best exposure to sunlight. Dolphins, starfish, sea urchins and honeybees also exhibit the proportion like humans. DNA molecules measures 34 angstroms by 21 angstroms at each full cycle of the double helix spiral, these two number are successive numbers. I think that the Golden Ratio is just a freak coincidence that happened.

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2 years ago

An online music store offers 5 downloads for $6.25.Another online music store offers 12 downloads for $17.40.Which store offers

Anon25 [30]

Well, what you have to do is find the unit rate for each one of those prices and how you do that is by dividing each price by the downloads

so $6.25 divided by 5= $1.25

and then $17.40 divided by 12= $1.45

so that means the one with $6.25/5 downloads has a better deal!

3 0

3 years ago

What is Cameron's error??????

pogonyaev

Answer

Cameron forgot to do the same thing to the 9. Instead of dividing 3 by 3 and 9 by 3 he only divided 3 by 3.

Step-by-step explanation:

3/7 × 4/9

You can divide the 3 and 9 by 3 so you get 1/7 × 4/3.

Then you do 4 × 1 and 7 × 3.

Correct answer is 4/21

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2 years ago