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postnew [5]
3 years ago
7

A company is designing a new cylindrical water bottle the volume of the bottle by 204 cm the height of the water bottles 8.9 cm3

what is the radius of a water bottle use 3.14 for pie
Mathematics
1 answer:
defon3 years ago
4 0

Answer:

2.70cm

Step-by-step explanation:

Given data

Answer:

2cm

Step-by-step explanation:

Given data

Capacity/volume= 204 cm

Height= 8.9 cm

Required

The radius r

let us apply the expression for the volume of a cylinder

V=πr^2h

204=πr^2*8.9

204=3.14r^2*8.9

r^2= 204/27.946

r^2=7.30

r= √7.30

r=2.70cm

Hence the radius is 2.70cm

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creativ13 [48]

Answer:

  • 8 - 42x - 56y - 12xy

Step-by-step explanation:

<u>Given sides of a rectangle</u>

  • Length: l =4 − 7(3x + 4y)
  • Width: w = 3x(−2y)

<u>Perimeter of rectangle</u>

  • P = 2(l + w)

<u>Using the given values</u>

  • P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
  • 2( 4 - 21x - 28y - 6xy) =
  • 8 - 42x - 56y - 12xy
4 0
3 years ago
Kala must choose a shirt, a pair of pants, and a cap for today's outfit. She has 3 shirts, 3 pairs of pants, and 1 cap to choose
Mrac [35]

Answer:

just multiply all the variables.

3 pants times 3 shirts= 9.

only 1 hat, so no variable there.

9 outfits

8 0
3 years ago
A candy store owner has chocolate candies worth $2.50 per pound and sour candies worth $0.90 per pound. How much of each kind of
SVETLANKA909090 [29]

Answer:

Weight of chocolate candies = 30lbs

Weight of sour candies = 30lbs

Step-by-step explanation:

We are told in the question that :

Chocolate candies worth $2.50 per pound

Sour candies worth $0.90 per pound. How much of each kind of candies should she combine to get 60 lb of mixed candies worth $1.70 per pound?

Let x represent the number of pounds of chocolate candies

Let 60 - x represent the number of pounds of sour candies

Hence, we have the equation

x × $2.50 + (60 - x) × $0.90 = 60 × $1.70

= 2.5x + 54 - 0.9x = 102

Collect like terms

2.5x - 0.9x = 102 - 54

= 1.6x = 48

x = 48/1.6

x = 30 lbs

x represent the number of pounds of chocolate candies,

60 - x represent the number of pounds of sour candies

= 60 - 30

= 30lbs

Weight of chocolate candies = 30lbs

Weight of sour candies = 30lbs

Therefore, she should combine 30lbs of chocolate candies and 30lbs of sour candies to get 60 lb of mixed candies worth $1.70 per pound.

4 0
3 years ago
A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer
OLEGan [10]

Answer:

The probability is  P( p <  0.9207) = 0.0012556

Step-by-step explanation:

From the question we are told

  The population proportion is p = 0.96

 The sample size is  n  =  227

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

       \mu_x = p = 0.96

Generally the standard deviation of this sampling distribution is  

    \sigma  = \sqrt{\frac{p (1 - p )}{n} }

=>  \sigma  = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }

=>  \sigma  = 0.0130

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{k}{n}

=> \^ p =  \frac{209}{227}

=> \^ p =  0.9207

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

     P( p <  0.9207) = P( \frac{\^ p - p }{\sigma } <  \frac{0.9207 - 0.96}{0.0130 }  )

\frac{\^ p - p}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )

   P( p <  0.9207) = P(Z< -3.022 )

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

     P(Z< -3.022 ) = 0.0012556

=> P( p <  0.9207) = 0.0012556

6 0
3 years ago
\int \frac{x}{\left(1-x^2\right)^{\frac{3}{4}}}dx
Paraphin [41]

Answer:

x 5/4 y 10/3 over 2

Step-by-step explanation:

7 0
3 years ago
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