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Harman [31]
3 years ago
14

Find the x - and y-intercepts of the graph of the linear equation –6x + 9y = -18

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

x-intercept = -6      y-intercept = 9

Step-by-step explanation:

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The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean mu = 18 sec and st
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The percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.

<h2>What is standard deviation?</h2>

The standard deviation of a data set is defined as how the data is dispersed in relation to the mean.

From the question,

The raw time given (X) = 14.4 sec

The mean value(m) = 18sec

The standard deviation(d) = 1.2 sec

Using the formula,

z = X - m/ d

z= 14.4- 18/1.2

z = -3.6/1.2

z= -3

Using a Z table to find the percentage equivalent of P(x<14.4) is 0.0013499 which is approximately = 0.15%.

Therefore, the percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.

Learn more about standard deviation here:

brainly.com/question/475676

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2 years ago
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Answer:

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Step-by-step explanation:

Let the acute angle be x.

Then as the 2 acute angles in a right triangle sum to 90 degrees,

x = 90 - 60

= 30.

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