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LekaFEV [45]
3 years ago
13

Identify the conclusion of the statement.

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

2) n > 16

Step-by-step explanation:

Usually, a statement is written as:

If P, then Q

Where P = hypothesis

Q  =  conclusion.

And our statement is:

if 2n - 7 > 25, then n > 16

(We can easily solve the inequality to get the thing in the right:

2n - 7 > 25

2n > 25 + 7 = 32

n > 32/2 = 16

n > 16 )

then:

P = (2n - 7)

Q = n > 16

Then the conclusion is: n > 16

The correct option is 2) n > 16

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The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 i
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Complete question :

The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

Answer:

0.61053

0.66314

0.26647

Step-by-step explanation:

Given that :

Mean (m) = 41.4 inches

Standard deviation (s) = 5.7 inches

a) What percentage of years will have an annual rainfall of less than 43 inches?

P(x < 43)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (43 - 41.4) / 5.7 = 0.2807017

p(Z < 0.2807) = 0.61053 ( Z probability calculator)

b) What percentage of years will have an annual rainfall of more than 39 inches? c)

P(x > 39)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (39 - 41.4) / 5.7 = −0.421052

p(Z > −0.421052) = 0.66314 ( Z probability calculator)

What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

P(x < 38)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (38 - 41.4) / 5.7 = −0.596491

p(Z < −0.596491) = 0.27545 ( Z probability calculator)

P(x < 42)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (42 - 41.4) / 5.7 = 0.1052631

p(Z < 0.1052631) = 0.54192 ( Z probability calculator)

0.54192 - 0.27545 = 0.26647

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