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kvasek [131]
3 years ago
5

A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.

Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

P(first marble will be green and the second will be green as well)= 5/22

Step-by-step explanation:

A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.

Total number of marbles= 2+6+4

                                        =12

P(first marble is green)=no. of green marbles/total number of marbles

                                  =  6/12

                               = 1/2

P(second marble is green and we didn't put the first marble back)

=no. of green marbles left/total marbles left

= 5/11

Hence, P(first marble will be green and the second will be green as well)

       =\dfrac{1}{2}\times \dfrac{5}{11}

      = 5/22

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This helicopter has a rotor that moves at a rate of 600 spins per minute while flying. Which statement is supported by this info
jeka57 [31]

Answer: d. The helicopter rotor will spin 36,000 times in 1 hour

Step-by-step explanation:

Option A is wrong because in 40 minutes the rotor will spin:

= 40 * 600

= 24,000 times

Option B is wrong because we cannot know the number of times the rotor will spin before being lifted off of the ground with the details given.

Option C is wrong because in 3 hours the rotor will spin:

= 600 * 3 * 60 minutes

= 108,000 times

Option D is correct because in 1 hour the rotor will spin:

= 600 * 1 * 60 mins

= 36,000 times

5 0
2 years ago
Sam is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate the tota
Alexus [3.1K]

Answer:

$210

Step-by-step explanation:

The first thing we can do is to add the $25 back on to the total cost.

25 + 115 = 140.

We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.

Now, to find the original price we can use this equation:

\frac{2}{3} x = 140

X represents the original price.

To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

(\frac{3}{2}) \frac{2}{3}x = 140 (\frac{3}{2})

Now you can solve:

x = \frac{420}{2} \\x = 210

We can check this answer by multiplying 210 by 2/3

(210)(2/3) = 140

Remember, Sam used a gift certificate for $25

140 - 25 = $115

Therefore, the original price of the skis is $210.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

6 0
3 years ago
Can you guys help me with my homework?
tatiyna

Answer:

3π=3×3.14 =9.42

7π=7×3.14=21.98

Step-by-step explanation:

so the distance around window , in feet be

3π=3×3.14=9.42

7π=7×3.14=21.98

8 0
2 years ago
Cant find the answer
dedylja [7]

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

7 0
1 year ago
Which intervals are most appropriate for a histogram
Lorico [155]

Answer:

C. 10–15, 15–20, 20–25, 25–30, 30–35

Step-by-step explanation:

5 0
3 years ago
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