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gladu [14]
3 years ago
12

Equivalent expression of (m^1/3m^1/5)^0

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:

\large\boxed{\left(m^\frac{1}{3}m^\frac{1}{5}\right)^0=1\ \text{if}\ m\neq0}

Step-by-step explanation:

\text{We know}\\\\a^0=1\ \text{for all value of}\ a\ \text{except 0}\\\\\left(m^\frac{1}{3}m^\frac{1}{5}\right)^0=1\ \text{if}\ m\neq0

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A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm
MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x\geq25.8  upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em>\frac{1}{b-a}<em>   </em>a\leq x\leq b

            =1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)=\frac{x-a}{b-a} =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

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3 years ago
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3 years ago
Which of the following is NOT equal to sin pi/3
Yanka [14]

Answer:

D)  sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}

Step-by-step explanation:

A)

sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}

B)

cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})

C)

cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})

D)

 sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}

8 0
3 years ago
What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.
olasank [31]
<h2>Given :</h2>

  • height (h) = 2 yd

  • radius (r) = 3 yd

<h2>Solution :</h2>

\boxed{ \mathrm{Surface \:  Area = 2\pi r(h +r )}}

  • 2 \times 3.14 \times 3 \times (3 + 2)

  • 18.84 \times 5

  • \boxed{\mathrm{94.2 \: yd {}^{2} }}

_____________________________

\mathrm{ \#TeeNForeveR}

3 0
3 years ago
It describes itself &lt;3
irina [24]

Answer:

432 ft²

Step-by-step explanation:

The formula of finding the area of a trapezoid: (base 1 + base 2/ 2) x h

(base 1 + base 2/ 2) x h

= (20 + 28/2) x 18

= 24 x 18

= 432 ft²

3 0
3 years ago
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