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sergij07 [2.7K]
3 years ago
8

Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

16.6 in

Step-by-step explanation:

Amount of space left = volume of prism - volume of 3 golf balls

volume of prism = base area x height

base area = area of a square  = length² = 2² = 4

volume = 4 x 6 = 24

Volume of a sphere = 4/3 x pi x r^3

r = 1.68/2 = 0.84

4/3 x 3.14 x 0.84^3 = 2.48

volume of 3 balls = 2.48 x 3 =

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Write the simplest form of this ratio and its method. <br><br> 2/3 : 3/2 : 5/8
Elanso [62]

Answer:

16 : 36 : 15

Step-by-step explanation:

2/3 : 3/2 : 5/8

multiply each term by the lowest common denominator: 24

16 : 36 : 15

7 0
3 years ago
a jar contains ten black buttons and six brown buttons. If nine buttons are picked at random, what is the probability that exact
Anuta_ua [19.1K]

Answer:

33.04% probability that exactly five of them are black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the buttons are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

Five black buttons, from a set of 10

Four brown buttons, from a set of 6.

D = C_{10,5}*C_{6,4} = \frac{10!}{5!(10-5)!}*\frac{6!}{4!(6-4)!} = 3780

Total outcomes:

Nine buttons, from a set of 16.

T = C_{16,9} = \frac{16!}{9!(16-9)!} = 11440

Probability:

p = \frac{D}{T} = \frac{3780}{11440} = 0.3304

33.04% probability that exactly five of them are black

6 0
3 years ago
Write 13 tens as a sum of hundreds and tens
Katyanochek1 [597]
I think it is 130. I hope this helps! :D
3 0
3 years ago
Read 2 more answers
Dawn has to pay 10,990 for her college dorm room and tuition each year. About how much money does dawn spend the first 2 years o
IceJOKER [234]

Dawn has to pay 10,990 for her college dorm room and tuition each year. About how much money does dawn spend the first 2 years of college

Answer: The amount of money Dawn has to pay for 1 year = 10,990

Therefore, the amount of money Dawn has to pay for first 2 years of college is:

2 \times 10,990 = 21,980


8 0
3 years ago
Use slopes and y-intercepts to determine if the lines 10x+3y=−3 and 5x−4y=−3 are parallel.
kvasek [131]

Answer:

They are not parallel

Step-by-step explanation:

original equation

10x + 3y = -3

subtract 10x

3y = -10x - 3

divide by 3

y = -10/3x - 1

original equation

5x - 4y = -3

subtract 5x

-4y = -5x-3

divide by -4

y = 5/4x + 3/4

the slopes are not equal to each other (5/4x and -10/3x) so they are not parallel

4 0
2 years ago
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