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suter [353]
3 years ago
6

A density curve for all the possible ages between 0 years and 50 years is in the shape of a triangle. What is the height of the

triangle? O A. 0.04 O B. 0.02 O c. 0.01 O D. 0.08 SUBMIT​

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

Answer:

0.04

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of triangle :

Area = 1/2 base * height

Base = 0 - 50 = 50

Area = 1

Hence,

1 = 1/2 * 50 * h

1 = 50h / 2

2 = 50h

h = 2 / 50

h = 0.04

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hammer [34]

Answer:

\frac{ 5 \sqrt3 \ + \ 5 \sqrt2 \ - \ \sqrt6 \ - \ 2}{23}

Step-by-step explanation:

\frac{\sqrt3 \ + \ \sqrt2 }{5 \ +  \ \sqrt2 } \\\\=\frac{\sqrt3 \ + \ \sqrt2 }{5 \ +  \ \sqrt2 } \times \frac{5 \ - \ \sqrt2 }{5 \ -  \ \sqrt2 } \\\\=\frac{( \sqrt3 \ + \ \sqrt2)(5 \ -  \ \sqrt2)}{(5 \ + \  \sqrt2)( 5 \  - \  \sqrt 2 )}\\\\=\frac{( \sqrt3 \ + \ \sqrt2)(5 \ -  \ \sqrt2)}{(5 \ + \  \sqrt2)( 5 \  - \  \sqrt 2 )}\\\\=\frac{5 \sqrt3 \ + \ 5\sqrt 2 \ - \ \sqrt{ 3\times 2 } \ - \ \sqrt{2 \times 2}}{(5)^2 \ - \ (\sqrt2)^2}\\\\= \frac{ 5 \sqrt3 \ + \ 5 \sqrt2 \ - \ \sqrt6 \ - \ 2}{25 - 2}\\\\

= \frac{ 5 \sqrt3 \ + \ 5 \sqrt2 \ - \ \sqrt6 \ - \ 2}{23}

5 0
3 years ago
Simplify the given expression:. <br> (12/8 t -5)2 =
ch4aika [34]

Answer:

3t-10

Step-by-step explanation:

( \frac{12t}{8}  - 5)2

=  (\frac{12t}{8}  -  \frac{5 \times 8}{8} )2

= ( \frac{12t - 40}{8} )2

= ( \frac{2(12t - 8)}{8} )

= 3t - 10

5 0
3 years ago
ANSWER ASAP!! WILL MARK BRAINLIEST!
ra1l [238]

Answer:

1 and 3

Step-by-step explanation:

4 0
3 years ago
Solve the equation <br> 2 x 1 1/2 = 46<br><br> please help me
Ierofanga [76]
2 1 1/2 = 3

Convert 1 1/2 into 1.5 and multiply that by 2
8 0
3 years ago
What is the inverse of f(x)=x^2+5 and is it a function?
Alla [95]

Answer:hello :

let : y = f(x)

you have : y = x² + 5

calculate : x

x² =  y - 5

x  exsit for : y - 5 ≥ 0

if : x  ≥ 0    x = √( y - 5)  so the inverse functio for f is : g(x) = √( x - 5)

if : x  ≤ 0    x = - √( y - 5)  so the inverse functio for f is :h(x) = -  √( x - 5)



8 0
3 years ago
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