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Basile [38]
3 years ago
6

A standard deck of 52 cards has four queens. two cards are randomly drawn in succession, without replacement, from a standard de

ck. what is the probability that the first card is a queen? what is the probability that the second card is a queen?
Mathematics
2 answers:
AnnyKZ [126]3 years ago
3 0

There are a total of 4 queens in a standard deck of 52 cards. The probability that the 2 consecutive draws are queen is:

Probability = (4 / 52) * (3 / 51)

<span>Probability = 12 / 2652 = 0.004</span>

krek1111 [17]3 years ago
3 0
The probability is the ratio of the number of queens to the total number of cards in a deck. However, when there is no replacement, you subtract 1 from the numerator and denominator.

So, for the first queen, the probability is:
P = 4/52 = <em>1/13</em>

Now, for the second queen, the available cards are only 51 since 1 was already chosen. Similarly, there are only 3 queens left. Thus, the probability of getting a second queen is:
P = (4/52)(3/51) = <em>1/221</em>
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Answer:

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2 years ago
Print Version
san4es73 [151]

Answer:

$9450

Step-by-step explanation:

We will use compound interest formula:

F=P(1+r)^t

Where

F is future amount [what we want to figure out]

P is present amount [9000]

r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]

t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]

Putting in formula, we get:

F=P(1+r)^t\\F=9000(1+0.05)^1\\F=9000(1.05)\\F=9450

6 0
3 years ago
What is the value of m? 14 2m=4m-16
gogolik [260]
M=15...................................................................
4 0
3 years ago
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A product comes in cans labeled "38 oz". A random sample of 10 cans had the following weights:
KiRa [710]

Answer:

b. 35.9, 39.1 ounces

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

barX=37.465 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=2.27 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

barX +- t*[(s)/(sqrt{n))]   (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_(alpha/2)=2.26

Now we have everything in order to replace into formula (1):

37.465-2.26[(2.27)/(sqrt{10))]=35.9    

37.465+2.26[(2.27)/(sqrt{10))]=39.1

So on this case the 95% confidence interval would be given by (35.9;39.1)    

7 0
3 years ago
The expression on the left side of an equation is shown below.
mamaluj [8]

Answer:

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Step-by-step explanation:

the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution

examples:  9x+1, -9x-8, 10x+3, 12x . . .

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