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harkovskaia [24]
3 years ago
12

Hi guys..............

Mathematics
1 answer:
g100num [7]3 years ago
3 0

Answer:

  • 12) 1.5(m - n)/b
  • 13) 2t/(2c + d)

Step-by-step explanation:

<h3>Question 12)</h3>

<u>Slope between the points:</u>

  • A(a + b, 4m - n) and B(a - b, m + 2n)

<u>Use slope formula:</u>

  • Slope = (m + 2n - 4m + n)/(a - b - a - b) =
  •              (-3m + 3n)/(-2b) =
  •              (-3)(m - n)/(-2)b
  •              1.5(m - n)/b
<h3>Question 13)</h3>

<u>Slope between the points:</u>

  • C(3c - d, s + t) and D(c - 2d, s - t)

<u>Use slope formula:</u>

  • Slope = (s - t - s - t)/(c - 2d - 3c + d) =
  •              (-2t)/(-2c - d) =
  •              (-2)t/(-1)(2c + d)
  •              2t/(2c + d)
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Lyrx [107]

Answer:

y = 5x + 3

Step-by-step explanation:

y - 5x = 3

add 5x to both sides to isolate y

y = 3 + 5x

rearrange to slope intercept form

y = 5x + 3

3 0
3 years ago
Carson throws a ball upward into the air the height of the ball is determined by h(t)= -16t^2 +60t+ 5.5. what is the height in f
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4 years ago
In a clinical trial of 268 subjects treated with a​ drug, 11​% of the subjects reported dizziness. The margin of error is plus o
Mariulka [41]

Answer:

\hat p =0.11 represent the proportion estimated of subjects reported with dizziness

n = 268 represent the random sample selected

\hat q = 1-\hat p = 1-0.11= 0.89 represent the proportion of subjects No reported with dizziness

E= 0.04 = 4% represent the margin of error for the confidence interval

\alpha= 1-0.90 =0.1 and this value represent the significance level of the test or the probability of error type I

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The margin of error is given by:

ME= z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Lower= 0.11-0.04 = 0.07

Upper= 0.11+0.04 = 0.15

And for this case we have the following info:

\hat p =0.11 represent the proportion estimated of subjects reported with dizziness

n = 268 represent the random sample selected

\hat q = 1-\hat p = 1-0.11= 0.89 represent the proportion of subjects No reported with dizziness

E= 0.04 = 4% represent the margin of error for the confidence interval

\alpha= 1-0.90 =0.1 and this value represent the significance level of the test or the probability of error type I

4 0
3 years ago
Identify the graph of the equation. What is the angle of rotation for the equation?<br><br>xy=-2.5
Maurinko [17]

Answer:

It is B. hyperbola, 45 degrees.

SteIt is p-by-step explanation:

If we rotate the standard form  x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.

xy = -2.5 comes from x^2 - y^2 = -5  being rotated 45 degrees.

3 0
4 years ago
Read 2 more answers
ASAP!!! PLEASE help me with this question!
mihalych1998 [28]

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

<em>Thus,</em>

<em>the answer is C. 16π.</em>

<em />

<em>Hope this helps :)</em>

4 0
3 years ago
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