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svlad2 [7]
3 years ago
12

Find the volume of the composite solid. Round your answer to the nearest hundredth.

Mathematics
2 answers:
artcher [175]3 years ago
6 0

Answer:

737.23

Step-by-step explanation:

formua for sphere:

V = 4/3 πr^3

so the volume would be 268.08

divide by 2 bc its only half of a sphere

you get 134.04

formula for cylinder:

V = πr^2h

so the vlume would be 603.19

add the volumes together you get 737.23

zaharov [31]3 years ago
5 0

Answer:

Volume of solid = 737 cm³ (Approx)

Step-by-step explanation:

Given:

Radius r = 4 cm

Length of cylinder = 12 cm

Find:

Volume of solid

Computation:

Volume of solid = Volume of hemisphere + Volume of cylinder

Volume of solid = (2/3)πr³ + πr²h

Volume of solid = (2/3)π(4)³ + π(4)²(12)

Volume of solid = 134 + 603

Volume of solid = 737 cm³ (Approx)

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5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a
SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

  • the defective probability is constant and independent.
  • the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

  • Sample size (amount of clips in the package): n=20
  • Probability of defective clips: p=0.01.
  • number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169

6 0
3 years ago
Marcia ran at a speed of 3.50
Roman55 [17]

I need more information to solve this question, comment below

5 0
3 years ago
Built around 2600 BCE, the Great Pyramid of Giza in Egypt is 485 ft high (due to erosion, its current height is slightly less) a
Morgarella [4.7K]

Answer:1.69*10^12 J

Step-by-step explanation:

From figure above, using triangle ratio

485/755.5=y/l. Cross multiplying 485l=755.5y Divide via 485) hence l= 755.5y/485

Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3

Force slice = 150*755.5^2.y^2.∆y/485^2

From figure 2 in the attachment work done for elementary sclice

Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2

= (150*755.5^2*y^2)(485-y)∆y/485

To calculate the total work we integrate from y=0 to y= 485

Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485

Integrating the above

W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485

W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)

Work done 1.69*10^12joules

7 0
4 years ago
PLEASE HELPPPPPPPPPPPPPPPPPPPPP
astra-53 [7]

Answer:

348

Step-by-step explanation:

Length-l

Width-w  

Height-h

A=2(wl+hl+hw)=2·(8·9+6·9+6·8)=348

3 0
3 years ago
S 8,000 a good estimate for the sum of 3,816 and 467?
Damm [24]

Answer:

it is  not a good estimate.

Step-by-step explanation:3816 can be rounded to 4000 and 467 can be rounded to 500. Adding 4000+500 gives 4500, which isn't near 8000.

i hoped this helped :)

<3

7 0
3 years ago
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