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Morgarella [4.7K]
3 years ago
12

A gum ball has a radius that is 30mm. The radius of the gumballs spherical hollow core is 28mm. What is the volume of the gum ba

ll if you do not include it's hollow core
Mathematics
1 answer:
Arada [10]3 years ago
5 0

Answer:

V = 21145.01 mm³

Step-by-step explanation:

Given that:

The radius of the gumball = 30  mm

The radius of the spherical hollow-core = 28 mm

Consider the radius of the gumball to be r_2 and the radius of the spherical hollow-core to be r_1. Then;

The volume of the gumball can be determined by using the formula of a sphere.

V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)

V = \dfrac{4}{3} \times \pi \times (30^3 - 28^3)

V = 21145.01 mm³

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A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 60 homeowners su
const2013 [10]

Answer:

D) (3.67, 4.73)

Step-by-step explanation:

Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where

  • M is the average number of home owned (4.2)
  • ME is the margin of error from the mean

And margin of error (ME) can be calculated as

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in the given confidence level(1.96)
  • s is the standard deviation of the sample(2.1)
  • N is the sample size (60)

Putting the numbers we get ME=\frac{1.96*2.1}{\sqrt{60} }≈0.53

Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)

6 0
2 years ago
Help I’ve been working on this problem for about 2 days and I still don’t get it and please explain and show me how to do the wo
Bond [772]

the boiling point of jet fuel is 329 degrees F. Rounded to the nearest degree, what is the temperature in degrees Celcius? Use the Formula: C = 5/9(F - 32), where C represents degrees celcius, and F represents degrees fahrenheit.

A). 165 degrees C

B). 183 degrees C

C). 201 degrees C

D). 535 degrees C

Solve:

C = 5/9(F - 32)

Simplify both sides:

C = 5/9(329 - 32) = 0

Simplify:

5/9

Equation at end of step 1:

C - (5/9 * 297) = 0

C - 165 = 0

Solve single variable:

C - 165 = 0

Add 165 to both sides:

C = 165

Therefore, Your answer would be, Letter Choice (A), (C = 165 degrees C

Hope that helps!!!!! Have a great day!!!!! : )

4 0
3 years ago
A bag contains 31 checkers—13 red and 18 black. Determine whether the events "a red checker is selected, not replaced and then a
Ipatiy [6.2K]

Answer:

dependent, 39/155

Step-by-step explanation:

Since the checkers are not replaced, the events are dependent since the number of checkers in the bag  when you pick the second time depends on the first pick.

31 checkers—13 red and 18 black.

P(red) = red/ total

          = 13/31

Keep the checker

Then 30 checkers—12 red and 18 black.

P(black) = black/ total

          = 18/30 = 3/5

P ( red, keep,black) = 13/31 *3/5

                                   39/155

8 0
3 years ago
Mason found out that his recent credit card application was denied. When Mason reviewed his credit report, he found two overdue
Rudiy27

Answer:

BROOOO me and you are literally taking the same class on Plato right now and I cant find these answers anywhere literally hardest math class ever.

Step-by-step explanation:

6 0
3 years ago
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Pergunta 5 You need to fill a football with air to play with it. You know that your pump expels air at speed of 8.2 ft/s. The ne
ra1l [238]
The volume flow rate of the air being pumped into the football will be given by:
 Q=V*A
 Where
 V=Speed
 A=Area
 You know that your pump expels air at speed of 8.2 ft/s
 The area of The needle of your pump is
 A=pi*r^2=pi*((4.5/1000)*(3.28))^2=0.00068442 ft^2
 Finally
 Q=V*A=(8.2 ft/s)*(0.00068442ft^2)=0.005612243 ft^3/s
8 0
3 years ago
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