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iragen [17]
2 years ago
15

What is the equation of the line that passes through the point (-6, -6) and has a slope of 2/3

Mathematics
1 answer:
Volgvan2 years ago
3 0

Answer:

y=2/3x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=2/3(x-(-6))

y+6=2/3(x+6)

y=2/3x+12/3-6

y=2/3x+4-6

y=2/3x-2

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Function P is defined as P (x) = x ^2 . Explain why P (2) + P (3) isn't equal to P (5) .
diamong [38]

Answer:

P(x) = x + 2

Piden: A = P(P(P(P(3))))

P(3); x = 3

P(3) = 3 + 2 = 5

A = P(P(P(P(3))))

A = P(P(P(5)))

P(5); x = 5

P(5) = 5 + 2 = 7

A = P(P(P(5)))

A = P(P(7))

P(7); x = 7

P(7) = 7 + 2 = 9

A = P(P(7))

A = P(9)

P(9); x = 9

P(9) = 9 + 2 = 11

→ A = P(P(P(P(3)))) = 11

Step-by-step explanation:

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4 0
3 years ago
Last question of the day........<br> Was Orange a Color or A fruit First?
Stolb23 [73]

Answer:

colour

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

For this problem, we consider that we want it to be within 4%.

Item a:

  • The sample size is <u>n for which M = 0.04.</u>
  • There is no estimate, hence \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2

n = 600.25

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is \pi = 0.96, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}

\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2

n = 92.2

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to \pi = 0.5, the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

8 0
2 years ago
What is 392 rounded to nearest ten
NikAS [45]
Because the ones place is under 5, we round down, and 392 becomes 390 when rounded to the nearest 10
7 0
2 years ago
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Tom had 216 marbles. First, he divided them into 3 equal groups. Then he put two groups into a 2 separate bags. He took the rema
Dahasolnce [82]

Answer: each of his friends got 24 marbles

Step-by-step explanation:

216 / 3 = 72

72 / 3 = 24

3 0
2 years ago
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