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kenny6666 [7]
3 years ago
12

A group of students are studying two models of solids, liquids, and gases. The students have been given an ice cube that has bee

n dyed blue, and the students are to carefully place the ice cube in a container of room temperature water.Which is the appropriate question to ask prior to the experiment?
A. Will the particles of water lose heat and begin to move faster?
B. Will the particles of ice absorb heat from the water and begin to move faster?
C. Will the particles of ice lose heat to the water and begin to move slower?
D. Will the particles of water gain heat and begin to move faster?

Mathematics
2 answers:
vesna_86 [32]3 years ago
7 0
B. will the particles of ic absorb heat from the water and begin to move faster
vodka [1.7K]3 years ago
6 0

Answer:

B. Will the particles of ice absorb heat from the water and begin to move faster?

Step-by-step explanation:

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Susie has a bag of marbles containing 3 Red, 7 Green, and 10 Blue marbles.
morpeh [17]

Answer:

1) a) 0.0945

b) 0.1062

2) a) 0.0138

b) 0.00081

3) a) 0.00094

b) 0.00083

4) 301.68 cents

5) 0.0056

Step-by-step explanation:

Since there are 3 Red, 7 Green, and 10 Blue marbles.

Total number of marbles N = 20

Probability (Red) = 3/20

Probability (Green) = 7/20

Probability (Blue) = 10/20

1) the probability of picking 5 marbles and getting at least one red marble

A) with replacement

P(at least 1 red of 5)= (3/20 * 17/20 * 17/20 * 17/20 * 17/20) + (3/20 * 3/20 * 17/20 * 17/20 * 17/20) + (3/20 * 3/20 * 3/20 * 17/20 * 17/20)

P(at least 1 red of 5) = 0.0783 +0.0138 + 0.0024 = 0.0945

B) without replacement

P(at least 1 red of 5) = ( 3/20 * 17/19* 16/18 * 15/17 * 14/16) + (3/20 * 2/19 * 17/18 * 16/17 * 15/16) + (3/20 * 2/19 * 1/18 * 17/17 * 16/16)

P(at least 1 red of 5) = 0.0921 + 0.01316 + 0.0009 = 0.1062

2) the probability of picking 6 marbles having 2 of each color

A) with replacement

P( 6, 2 of each) = 3/20 * 3/20 * 7/20 * 7/20 * 10/20 * 10/20

P( 6, 2 of each) = 0.0138

B) without replacement

P( 6, 2 of each) = 3/20 * 2/19 * 7/18 * 6/17 * 10/16 * 9/15

P( 6, 2 of each) = 0.00081

3) Pick 8 marbles: 4 green and 4 blue

A) with replacement

P(8, 4G and 4 B) = 7/20*7/20*7/20*7/20*10/20*10/20*10/20

P(8, 4G and 4 B) = 0.00094

B) without replacement

P(8, 4G and 4 B) = 7/20*6/19*5/18*4/17*10/16*9/15*8/14*7/13 = 0.00083

4) getting at least 6 marbles of the same color

Only Green and Blue marbles are more than 6

P(at least 6 marbles of the same color) = (7/20*6/19*5/18*4/17*3/16*2/15) + (10/20*9/19*8/18*7/17*6/16*5/15)

= 0.00018 + 0.00542

P(at least 6 marbles of the same color) = 0.0056

Cost of 6 .marbles= 6* 50 cents

C = 300 cents

Therefore, You will have to pay

(1 + 0.0056) 300 cent = 301.68 cents to be sure of getting at least 6 marbles of the same color

5) getting at least 6 marbles of the same color

Only Green and Blue marbles are more than 6

P(at least 6 marbles of the same color) = (7/20*6/19*5/18*4/17*3/16*2/15) + (10/20*9/19*8/18*7/17*6/16*5/15)

= 0.00018 + 0.00542

P(at least 6 marbles of the same color) = 0.0056

6 0
3 years ago
What is 6 3/4, 6 5/8, 3 1/4, 3 3/8 from least to greatest?
weeeeeb [17]

Answer:

3 1/4, 3 3/8, 6 5/8, 6 3/4

Step-by-step explanation:

4 0
3 years ago
Laura paddles in her canoe at a speed of 6 mph for 6 miles. She then hops on her windsurfer and sails for 12 miles at a speed of
Allisa [31]

Answer: C, 3 HOURS

Step-by-step explanation:

she canoed for 1 hour and windsurfed for 2 hours

6 0
3 years ago
Ross and Gabby sold boxes of cookies for their soccer team fundraiser. Ross sold b boxes of cookies, and Gabby, g, sold 35 boxes
Mashcka [7]

Answer:Answers: 2  

Step-by-step explanation:

7 0
3 years ago
Jerry planted a pine tree that was 5 feet tall and a maple tree that was 10 feet tall. The pine tree grew 3 feet taller per year
stich3 [128]

The initial length of the pine tree=5 feet.

Groth rate of pine tree =3 feet/year.

The initial length of the pine tree =10 feet.

Groth rate of the maple tree =2 feet/year.

After x years, the height of the pine tree= 5+3x feet and

after x years, the height of the maple tree= 10+2x feet.

The inequality for which, after x year, the pine tree is taller than the maple tree is

5+3x>10+2x

\Rightarrow x>5 .

The inequality for which, the pine tree is at least as tall as the maple tree is 5+3x\geq10+2x.

\Rightarrow x\geq 5 .

Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and

after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.

The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is

5+9x>10+4x

\Rightarrow 5x>5

\Rightarrow x>1.

The inequality for which, the pine tree is at least as tall as the maple tree is 5+9x\geq10+4x.

\Rightarrow 5x\geq5

\Rightarrow x\geq 1.

5 0
3 years ago
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