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Goryan [66]
1 year ago
15

A card is drawn from a pack of 52 cards. Find the probability of drawing an ace given that it is diamond.4/521/132/134/13

Mathematics
1 answer:
ICE Princess25 [194]1 year ago
8 0

Solution:

The probability of an event is expressed as

P(event)=\frac{number\text{ of desired outcome}}{number\text{ of possible outcome}}

In a pack of 52 cards, we have

\begin{gathered} number\text{ of diamonds=13} \\ number\text{ of ace= 1} \end{gathered}

Thus, we have the probability to be evaluated as

P(ace)=\frac{1}{13}

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A student charges twenty dollars per hour to type college papers. The student's average typing speed is fifty words per minute.
coldgirl [10]

Answer:

The student should charge $210 for typing the paper ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The rate of the student's typing is 50 words per minute

- The students charges twenty dollars per hour to type the college

 papers

- There is a paper contains 31,500 words

- We want to now how much the student should charge for it

* At first lets find his rate per hour

∵ 1 hour = 60 minutes

∴ 1 minute = 1/60 hours

∵ His rate = 50 words / 1 minute

- Lets change the minute to hour

∴ His rate = 50/(1 × 1/60) = 3000 words per hour

* Lets find the time he needs to finish the paper

∵ The paper contains 31,500 words

∵ Time = The number of words ÷ his rate of typing

∵ his rate is 3000 words per hour

∴ Time = 31,500 ÷ 3000 = 10.5 hours

∴ He needs 10.5 hours to finish the paper

∵ He charges $20 per hour

∵ The time to finish the paper is 10.5 hours

∵ The price of typing the paper = the charge per hour × number

   of hours

∴ The price of typing the paper = 20 × 10.5 = 210

∴ The student should charge $210 for typing the paper

7 0
3 years ago
Read 2 more answers
You flip a coin and roll a dice.what is the probabiliy the coin lands on heads and the dice lands on a number less than 5?
Luden [163]

Answer:

Step-by-step explanation:

The coin would be 1/2 and the dice one would be 4/6 unless you're including the number 5 then it would be 5/6

5 0
4 years ago
Read 2 more answers
Please calculate the probability using the following equations (in document)
labwork [276]

Substitute <em>u</em> = <em>t</em> ³/2592 and d<em>u</em> = <em>t</em> ²/864 d<em>t</em>. Then

P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du

The probability that a 12 hour surgery is successful is <em>P</em> (12), so letting <em>T</em> = 12 gives

P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}

4 0
3 years ago
If in drawing your vector you are required to use a scale such that 25 grams represent 1 cm, and if your resultant vector measur
Aleks04 [339]

If we multiply the ratio

... 25 g : 1 cm

by 5, we get

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The number on the left is 75 g more than 50 g.

6 0
3 years ago
Diagonals of parallelograms<br><br> Solve for x
Lunna [17]

Diagonals bisect each other

\\ \bull\tt\longmapsto 2x+10=3x

\\ \bull\tt\longmapsto 3x-2x=10

\\ \bull\tt\longmapsto x=10

Option B

3 0
3 years ago
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