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andrew11 [14]
3 years ago
7

In the standard (x,y) coordinate plane, point M with coordinates (5.4) is the midpoint of AB, and B has coordinates (7.3). What

are the coordinates of A?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0
(3,5) as x+7/2=5 and y+3/2=4
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3(x+y)=7(y-x), 5(3x-y)=x+3​
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Solve for z: yz + 4z = z - y²<br><br><br><br>​
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Step-by-step explanation:

yz+4z=z-y²

yz+4z-z=-y²

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Over the course of a lifetime about how much more does a college graduate earn than someone who does not have a college degree
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What is the answer to this along with steps to doing it?
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8 0
3 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

Z = \frac{X - \mu}{s}

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
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