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1 year ago

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Is collecting pennies dependent or an independent events?

1 answer:

Strike441 [17]1 year ago

8 0

Collecting pennies can either be a dependent or an independent events based on the scenario.

<h3>How to illustrate the information?</h3>

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail.

A coin toss is an illustration of an autonomous occurrence. With each toss of the coin, there is an equal probability (0.5) of either heads or tails occurring, presuming that the coin is fair and can only land on heads or tails. It doesn't matter if the coin came up heads on the prior toss.

In conclusion, collecting pennies can either be a dependent or an independent events based on the scenario.

Learn more about events on:

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Pre-Calculus - Systems of Equations with 3 Variables please show work/steps

inessss [21]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2:

{2 x + y - 2 z = 11 | (equation 1)

x + 0 y - 3 z = 7 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y/2 - 2 z = 3/2 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Multiply equation 2 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Add 1/2 × (equation 1) to equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - (3 y)/2 + 8 z = 37/2 | (equation 3)

Multiply equation 3 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - 3 y + 16 z = 37 | (equation 3)

Swap equation 2 with equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x - y - 4 z = 3 | (equation 3)

Subtract 1/3 × (equation 2) from equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y - (28 z)/3 = (-28)/3 | (equation 3)

Multiply equation 3 by -3/28:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 16 × (equation 3) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y+0 z = 21 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 2 by -3:

{2 x + y - 2 z = 11 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{2 x + 0 y - 2 z = 18 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Add 2 × (equation 3) to equation 1:

{2 x+0 y+0 z = 20 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by 2:

{x+0 y+0 z = 10 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer: {x = 10 , y = -7 , z = 1

3 0

3 years ago

Please helpp mee :))

aliya0001 [1]

Answer:

88%

Step-by-step explanation:

22/25 = 0.88

0.88 x 100 = 88%

5 0

3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

prisoha [69]

Answer:

50π m³ or 157 m³ (rounded to nearest cubic meter)

Explanation:

$\sf volume \ of \ cone \ : \ \dfrac{1}{3} \pi (radius)^2 (height)$

<h3>Here Given: </h3>

Radius: 5 meters

Height: 6 meters

<h3>Volume of This Cone:</h3>

$\sf \dashrightarrow \dfrac{1}{3} \pi (5)^2 (6) \ = 50 \pi \ = \ 157.079 \ m^3 \ = 157 \ m^3$

4 0

2 years ago

You and a friend plan to see 2 movies over the weekend. You can choose from 6 comedy, 2 drama, 4 romance, 1 science fiction, or

Debora [2.8K]

There are a total of 16 movies to choose from and 6 of them are comedy. This means that you have a 38% of choosing comedy. But the chances of you not choosing comedy is 62%. And since your friend is also choosing, the chance of neither of you not choosing is cut in half.

So, the final answer of neither of you choosing comedy is 31%

(I don't know whether it's dependent or independent)

7 0

3 years ago

For your sports equipment store, you purchase a case containing 24 canisters of tennis balls for $60. You in turn charge $4 for

Montano1993 [528]

Answer:

60%

Step-by-step explanation:

Given data

we are told that 24 canisters cost $60

hence the cost per canister = 60/24= $2.5

The selling price per canister= $4

%mark up = selling price-cost price/cost price *100

Substitute

%mark up = 4-2.5/2.5 *100

%mark up = 1.5 /2.5 *100

%mark up = 0.6 *100

%mark up = 60%

Hence the percent mark up is 60%

7 0

3 years ago