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ira [324]
3 years ago
13

Select Independent or Not independent for each situation. Not independent Independent a. A jar contains fifteen coins. Two coins

are picked randomly without replacement. b. A number cube is rolled twice. c. A box contains number cards labeled from 1 to 10. d. Two cards are chosen randomly with replacement. e. There are 3 green balls and 7 red balls in a bag. f. Two balls are chosen randomly without replacement.
Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Answer:

The correct answers are a. Independent; b. Independent; c. Independent;  e.  Not Independent

Step-by-step explanation:

a. A jar contains fifteen coins which. Two coins are picked randomly without replacement. Thus the second pick is not dependent on the first pick as the coins in the all same and thus the experiment is independent.

b. A number cube is rolled twice. Outcome of the first roll is independent of the outcome in the second and thus the experiment is independent.

c. A box contains number cards labeled from 1 to 10 where 2 cards are chosen randomly with replacement. Hence first draw does not effect the sample making the experiment independent.

e. There are 3 green balls and 7 red balls in a bag with 2 balls are chosen randomly without replacement. Thus one pick depends on what is drawn in the previous pick thus making it a dependent or not independent event.

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One of the corners of a rectangle is shown.
tensa zangetsu [6.8K]

Answer:

70 degrees

Step-by-step explanation:

rectange angle total = 360

1 corner = 90

90-20 = 70

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2 years ago
How to solve this?<br> Please explain step by step
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Answer:

Check pdf

Step-by-step explanation:

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2 years ago
What is the value of x? round to the nearest hundredths place: <br> 0.45(x + 1.6) + 5x = 18
KatRina [158]

Answer:

3.600

Step-by-step explanation:

0.25(x+1.6)+5x=18

Open the bracket first

0.25x+0.72+5x=18

Collect like terms

0.25x+5x=18-0.72

5.25x=18.72

Divide both sides by 5.25

x=3.566~3.600(nearest hundredth)

8 0
3 years ago
Read 2 more answers
A rectangular sheet of perimeter of 36 cm and dimensions x cm by y cm is to rolled into a cylinder. what values of x and y give
elena55 [62]

Given that perimeter of the rectangular sheet= 36cm, Height of cylinder =y base circumference of the cylinder = x = 2pir

So x+y = 36/2 = 18 , y = 18-x, so height of the cylinder = 18-x and radius of cylinder = x/2pi

So volume of cylinder = pir^2h = pi(x/2pi)^2* (18-x) = (x^2* (18-x))/(4pi)

Let f(x) = (x^2(18-x))/(4pi)

We need to maximise this volume function.

So f'(x) = (1/4pi) ( -x^2 + 2x(18-x))= (1/4pi)(x)(-x+36-2x)= (1/4pi)(x)(-3x+36)

So f'(x) = 0⇒ (1/4pi)(x)(-3x+36)=0⇒x=0 or x= 12

Since x+y = 18, so 0<x<18

f'(x) = (1/4pi)(-3x^2+36x)

So f''(x) = (1/4pi)(-6x+36)⇒ f''(12) = (1/4pi)(-6*12+36) = -9pi <0

So using second derivative test x=12 gives the maximum volume.

Since x+y =18 so 12+y=18 ⇒y = 6

So x=12cm and y = 6cm give the largest volume.

6 0
3 years ago
The number of tracks on each of 11 albums is shown below: 12 13 12 8 9 11 12 10 9 13 14. Calculate the interquartile range for t
NISA [10]

Answer:

4

Step-by-step explanation:

After you sort the data, you get:

8,9,9,10,11,12,12,12,13,13,14

We know that the first quartile is 9, and the third quartile is 13, so it is 4

8 0
2 years ago
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