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2 years ago

9

How much work was done to move the car from 0.3 m to 0.7 m?

1 answer:

Flauer [41]2 years ago

6 0

.4 meters would be your answer!

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A random experiment was conducted where a Person A tossed five coins and recorded the number of ""heads"". Person B rolled two d

cestrela7 [59]

Answer:

(10) Person B

(11) Person B

(12) $P(5\ or\ 6) = 60\%$

(13) Person B

Step-by-step explanation:

Given

Person A $\to$ 5 coins (records the outcome of Heads)

Person $\to$ Rolls 2 dice (recorded the larger number)

Person A

First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)

Next, we list out all number of heads in each roll (sorted)

$Head = \{5,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,0\}$

$n(Head) = 32$

Person B

First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)

Next, we list out the highest in each toss (sorted)

$Dice = \{2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6\}$

$n(Dice) = 30$

Question 10: Who is likely to get number 5

From person A list of outcomes, the proportion of 5 is:

$Pr(5) = \frac{n(5)}{n(Head)}$

$Pr(5) = \frac{1}{32}$

$Pr(5) = 0.03125$

From person B list of outcomes, the proportion of 5 is:

$Pr(5) = \frac{n(5)}{n(Dice)}$

$Pr(5) = \frac{8}{30}$

$Pr(5) = 0.267$

<em>From the above calculations: </em> $0.267 > 0.03125$ <em> Hence, person B is more likely to get 5</em>

Question 11: Person with Higher median

For person A

$Median = \frac{n(Head) + 1}{2}th$

$Median = \frac{32 + 1}{2}th$

$Median = \frac{33}{2}th$

$Median = 16.5th$

This means that the median is the mean of the 16th and the 17th item

So,

$Median = \frac{3+2}{2}$

$Median = \frac{5}{2}$

$Median = 2.5$

For person B

$Median = \frac{n(Dice) + 1}{2}th$

$Median = \frac{30 + 1}{2}th$

$Median = \frac{31}{2}th$

$Median = 15.5th$

This means that the median is the mean of the 15th and the 16th item. So,

$Median = \frac{5+5}{2}$

$Median = \frac{10}{2}$

$Median = 5$

<em>Person B has a greater median of 5</em>

Question 12: Probability that B gets 5 or 6

This is calculated as:

$P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}$

From the sample space of person B, we have:

$n(5\ or\ 6) =n(5) + n(6)$

$n(5\ or\ 6) =8+10$

$n(5\ or\ 6) = 18$

So, we have:

$P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}$

$P(5\ or\ 6) = \frac{18}{30}$

$P(5\ or\ 6) = 0.60$

$P(5\ or\ 6) = 60\%$

Question 13: Person with higher probability of 3 or more

Person A

$n(3\ or\ more) = 16$

So:

$P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Head)}$

$P(3\ or\ more) = \frac{16}{32}$

$P(3\ or\ more) = 0.50$

$P(3\ or\ more) = 50\%$

Person B

$n(3\ or\ more) = 28$

So:

$P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Dice)}$

$P(3\ or\ more) = \frac{28}{30}$

$P(3\ or\ more) = 0.933$

$P(3\ or\ more) = 93.3\%$

By comparison:

$93.3\% > 50\%$

Hence, person B has a higher probability of 3 or more

7 0

2 years ago

20 % of 2 is equal to wht

iren2701 [21]

It would be 0.4:) hope this helps

5 0

3 years ago

Read 2 more answers

What is the solution to this system of equations?

damaskus [11]

Since this is multiple choice ...

• check if B is correct:

x = 0, y = 4, z = 1 ⇒ 3x - y + 4z = -4 + 4 = 0 ≠ -10

(it's not)

• check if C is correct:

x = -2, y = 4, z = 0

⇒ 3x - y + 4z = -6 - 4 + 0 = -10

⇒ 3x - y + 4z = 2 + 4 + 0 = 6

⇒ 3x - y + 4z = -4 - 4 + 0 = -8

While this solution does satisfy the system, it can still have infinitely many other solutions that would work.

• check if D is correct:

Eliminate one of the variables from each equation. For instance,

(3x - y + 4z) + (-x + y + 2z) = -10 + 6

2x + 6z = -4

x + 3z = -2

and

(2x - y + z) + (-x + y + 2z) = -8 + 6

x + 3z = -2

but now it's impossible to eliminate one of the variables.

Therefore there are infinitely many solutions to the system [D].

3 0

1 year ago

1. Determine the area under the standard normal curve to the left of z=2.10.

Nadusha1986 [10]

The answer is 0.982

In your calculator you need to go to 2nd distr and then normalcdf. Then enter the lower bound as -99, the upper bound as 2.1, mean as 0 and standard deviation as 1. Then press enter and you should get 0.982 as your answer :)

3 0

2 years ago

(4x-3)-(x+6)<br> simplify

zzz [600]

Answer:

3x-9

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers