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Vladimir79 [104]
4 years ago
6

What is the slope of a line parallel to the line whose equation is 5x + 3y = 15

Mathematics
1 answer:
kifflom [539]4 years ago
7 0
For two lines to be parallel, they must have the same slope...

3y=-5x+15

y=-5x/3 +5, y=mx+b, where m=slope so:

A parallel line with have a slope of -5/3
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A particular type of mouse's weights are normally distributed, with a mean of 359 grams and a standard deviation of 33 grams. If
igor_vitrenko [27]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Given:

\mu = 359 \ \ \ \ \ \sigma = 33\\\\

Using formula:

\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )

For point a:

\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\

                   = P\left ( z

For point b:

\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\

                   = 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001

For point c:

\to x= 406\ \ and \ \  461\\\\P(406

                              = 0.9990 - 0.9222\\\\= 0.0768\\\\

For point d:

P(X < 406) = 0.9222 = 92.22 \%\  that \ is \ greater \ than\ 50\%

Hence, the correct choice is "i".

For point e:

\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\

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Answer:

The answer is 18

Step-by-step explanation:

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