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3 years ago

Cuanto es 3h y 18 min?

Mathematics

1 answer:

Basile [38]3 years ago

7 0

Answer:

How much is 3h and 18 min?

Step-by-step explanation:

198 minutes

118800 seconds

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A cistern is leaking 0.25 liters of water per minute. Approximately how many gallons of water is the cistern losing per hour?

algol [13]

Hello,

$0.25 \dfrac{l}{min} = \dfrac{0.25\ l}{ \dfrac{1\ min}{60}} =15\ \dfrac{l}{h} \\

= \dfrac{15\ \dfrac{l}{h} }{3.78541\ \frac{l} {US\ gallon} })\\

= 3,96258265... \dfrac{US\ gallon}{h}$

6 0

4 years ago

There are 348 identical plastic chips numbered 1 through 348 in a box. What is the probability of reaching into the box and rand

hoa [83]

<h2>P(E) = $\dfrac{53}{87}$ or, 0.6092</h2>

Step-by-step explanation:

Given,

There are 348 identical plastic chips numbered 1 through 348 in a box.

To find, the probability of reaching into the box and randomly drawing a chip number which is smaller than 213 = ?

Total number of possible outcomes = 348

Let E be the event of getting randomly drawing a chip number that is smaller than 213.

Favourable outcomes are:

1, 2, 3, .............., 212

Number of favourable outcomes = 212

∴ Probability =

P(E) =

= $\dfrac{53}{87}$ or, 0.6092

Thus, P(E) = $\dfrac{53}{87}$ or, 0.6092

4 0

4 years ago

A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di

Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event Probability Value Won

The result is 1 or 2 33.33% $0

The result is 3, 4 or 5 50.00% $4.00

The result is 6 16.67% $36.00

Expected Value:

Event Probability Value Expected Value

The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)

The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)

The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)

Total expected amount of money = $8.00

8 0

3 years ago

Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is

Ber [7]

Answer:

65%

Step-by-step explanation:

3 0

3 years ago

One of the games at the carnival was Spin the Pointer, which uses a spinner like the one pictured here. A carnival ticket that c

valina [46]

Answer:

(a)

$\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}$

(b)

$E(x) = -\$0.25$

Step-by-step explanation:

Given

See attachment for spinner

Solving (a): Complete the table

The amount paid is: $1

From the attached image, we have:

$0 = 6; $1 = 1; $5 = 1

To get the profit, we subtract $1 from the possible outcomes of the spinner.

So, we have:

-$1.00 = 6; $0.00 = 1; $4.00 = 1

The probability of each is then calculated as:

$P(-\$1.00) = \frac{6}{8} = 0.75$

$P(-\$0.00) = \frac{1}{8} = 0.12$

$P(-\$4.00) = \frac{1}{8} = 0.12$

So, the complete table is:

$\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}$

Solving (b): The expected profit E(x)

This is calculated as:

$E(x) = \sum x * P(x)$

$E(x) = -1.00 * 0.75 + 0.00 * 0.125 + 4 * 0.125$

$E(x) = -\$0.25$

6 0

3 years ago