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3 years ago

A card is drawn at random from a standard 52-card deck. Find the probability that the card is not a queen.

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

ok The answer is

Step-by-step explanation:

No of queen: 4

No of total card: 52

Now,

Probability that the card is not a queen : No of queen/ No of total card

4/52 = 1/13

so, the probability that the card is not queen is 1/13

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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

9 months ago

The table shows the charges for using an internet service. Nicholas use the internet service for 16 hours and 40 Minutes last mo

yanalaym [24]

Answer:

A. Nicholas will have to pay less using plan A

B. He will pay US$ 4 less than plan B

Step-by-step explanation:

Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.

Plan A

Up to 10 hours = US$ 6

Every subsequent 1/2 hour: $1

10 hours + 14 (1/2 hour)

Nicholas will pay 6 + 14 * 1 = US$ 20

Plan B

Up to 12 hours = US$ 4

Every subsequent 1/2 hour: $2

12 hours + 10 (1/2 hour)

Nicholas will pay 4 + 2 * 10 = 24

7 0

3 years ago

Chris wants to order DVDs over the internet.

Nuetrik [128]

Step-by-step explanation:

14d +9 <100

14d represents cost for dvds. 9 is the flat rate shipping. all must be less than 100

6 0

3 years ago

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Disney World in Orlando Florida is the most popular theme park in the world. More than 39 million people visit every year. It’s

sesenic [268]

Answer:

one billion eight hundred ninety million three hundred eighty thousand eight hundred

Step-by-step explanation:

43.12*43.84

8 0

2 years ago

The freezing point of methanol is -97.6. What is the freezing point of methanol in Fahrenheit

motikmotik

Answer:

-143.68°F

Step-by-step explanation:

Celsius to Fahrenheit Conversion Formula: F = 1.8C + 32

Simply plug in c as -97.6:

F = 1.8(-97.6) + 32

F = -175.68 + 32

F = -143.68

3 0

3 years ago

Read 2 more answers