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Deffense [45]
3 years ago
6

Figure on the left is a trapezoid. All angles in the figure on the right are right angles. All dimensions are in centimeters.

Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0
The area of the trapezoid is 221. You get that by multiplying 13 and 17. The area of the figure on the right is 119. You get that by subtracting 5 from fourteen to give you 9. Then you multiply 9*11=99. After you have that done you need to figure out the little square, which is 5*4=20. Add 99+20=119.

Hope this helps 
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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
stich3 [128]

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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3 years ago
What is the equation of a line that passes through point ( 6, 18 ) and has a y-intercept of -2
Anvisha [2.4K]

Answer:

y=10/3 x - 2

Step-by-step explanation:

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4 years ago
Find first derivative f(x)= x² - 4 /x³ + 9 ​
vitfil [10]

Answer:

f'(x) = 2x + \frac{12}{x^{4} }

Step-by-step explanation:

differentiate using the power rule

\frac{d}{dx} ( ax^{n} ) = nax^{n-1}

Given

f(x) = x² - \frac{4}{x^3} + 9 = x² - 4x^{-3} + 9 , then

f'(x) = 2x + 12x^{-4} = 2x + \frac{12}{x^{4} }

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Change to root form: (36x^6)^1/2
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I hope this helps you

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Sort the pentagon into 5 triangles and then solve for each one

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