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Solnce55 [7]
3 years ago
9

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen

, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply.
The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.
Mathematics
2 answers:
Rudik [331]3 years ago
6 0
A. True. There are 52 cards total and you only pick 5. Order doesn't matter.

-------------------------------------------

B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.

-------------------------------------------

C. False. The answer is roughly 0.000858 as shown by the calculation below

(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858

-------------------------------------------

D. False. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495

-------------------------------------------

E. True. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005
adoni [48]3 years ago
3 0

Answer:A & E

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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james scored 300 runs in cricket. he requires 900 runs to qualify for league MVP contention. he scores 50 runs during the averag
Serhud [2]
He would need to play 12 average scoring games.
900 (goal) - 300 (has) = 600
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hope this helps :)
5 0
3 years ago
What is the solution to this equation? 3(4x + 3) = 2x - 5(3 - x) + 2 A. B. C. D.
RideAnS [48]

Answer:

Exact form - x= - 22/5

Decimal form - x=-4.4

Mixed Number form - x= -4 2/5

Step-by-step explanation: Isolate the variable by dividing each side by your factors that don't contain variables.

3 0
3 years ago
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
professor190 [17]

Answer:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

Step-by-step explanation:

Information given

n=15 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =16 represent the sample variance

\sigma^2_0 =25 represent the value that we want to  verify

System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

The statistic is given by:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And replacing we got:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

6 0
3 years ago
Sarah started with 50 dollars in her bank account. Each month, she puts 25 more dollars in her account. The amount of money in d
Basile [38]


D=25m+50

D=(25)(8)+50

D=200+50

D=250

There will be $250 after 8 months.

5 0
3 years ago
Read 2 more answers
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