4 years ago

Simplify by using the distributive property:

Mathematics

1 answer:

lesya692 [45]4 years ago

3 0

12. 4(s+5)
4s+20

15. 2(3r-12)
6r-24

18. -3(16-3d)
9d-48

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3 years ago

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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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3 years ago

Simplify by using the distributive property: ​

Simplify by using the distributive property: