In a certain card game, only the thirteen cards that are Hearts are used, and each player is dealt a hand of just two cards. How many ways are there to deal hands of two cards each to each of three players from a 13-card deck comprised of just the Hearts?
Solution :
It is given that only 13 cards that are Hearts that is used in a certain game.
And 2 hearts to each of the 3 players.
Therefore, the number of ways is
= [tex]$^{13} C_2 \times ^{11} C_2 \times ^{9} C_2$[/tex]
[tex]$= \frac{13 !}{11 ! \times 2!} \times \frac{11 !}{9 ! \times 2!} \times \frac{9 !}{7 ! \times 2!} $[/tex]
[tex]$=\frac{13 !}{7! \times 2! \times 2! \times 2!}$[/tex]
= 120 number of ways
Suppose 49% of the population has a retirement account. If a random sample of size 896 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3%?
Answer:
The probability is [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.49[/tex]
The sample size is n = 896
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma_{p} = \sqrt{ \frac{p(1 -p )}{n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{ \frac{0.49(1 -0.49 )}{896} }[/tex]
=> [tex]\sigma_{p} = 0.0167[/tex]
Generally the the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is mathematically represented as
[tex]P( |\^ p - p | < 0.03 ) = P( \frac{ | \^ p - p|}{\sigma_p } < \frac{0.03}{0.0167} )[/tex]
[tex]\frac{|\^ p - p |}{\sigma_p } = |Z| (The \ standardized \ value\ of \ |\^p - p| )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(|Z| < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(- 1.796 < Z < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(1.796 < Z) - P(Z < -1.796 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.796 and - 1.796 is
[tex]P(Z < -1.796 ) = 0.036247[/tex]
[tex]P(1.796 < Z) = 0.96375[/tex]
So
[tex]P( |\^ p - p | < 0.03 ) = 0.96375 - 0.036247[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
Sam spent $16 on fruit at the grocery store he spent a total of $40 at the store what percentage of the total did he spend on fruit
jordan can jog 1/3 of a mile in 1/6 of an hour.what is his speed in miles per hour
Answer:
cook
Step-by-step explanation:
I NEEDS MORE HEEEELLLLLLLPPPPPPP
How much does it cost Carol for a 60-day supply of cat food for her two cats?
Answer:
its 120
Step-by-step explanation:
60 multiply by 2 is 120
14Points An art museum has 1,025 paintings to divide equally among 20 rooms. How many more paintings does it need so that every room has the same number of paintings?
Answer:
15 more paintings
Step-by-step explanation:
How does the value of 874.12 change if the decimal point is moved two places to the left?
I would think it would be 8.7412
What is the value of the inequialty?
Answer:
C. 32
Step-by-step explanation:
substitute x=5
2(5) squared-2(5+4)
2(25)-2(5+4)
50-2(9)
50-18
32
Mr. hodges wants to build a fence
Answer:
96 feet
Step-by-step explanation: took quiz pls mark brainliest
Solve the following equation by factoring.
2x2−7x+3=0
Answer:
x=3
Step-by-step explanation:
Step 1: Factor left side of equation.
(2x−1)(x−3)=0
Step 2: Set factors equal to 0.
x−3=0
ANSWER:
x=3
Which inequality is a true statement?
Select each correct answer.
A −4≤−5
B −4=−5
C −4≥−5
D −4>−5
E −4<−5
Answer:
C and D are the right answers
Step-by-step explanation:
Which of the following represents the greatest percent error?
A $10 underpayment on a $30 restaurant bill
B Hope to make 20 bracelets in a week and actually make 25
C
Actual ->
Error->
D Incorrectly estimate a length of 100 cm to be 125 cm
When there is actual error so it shows the greatest percent error. Therefore, the option c is correct.
What is the percent error?It shows the difference that lies between the estimated value and the actual value when we compare to the actual value also it should be shown in the percentage form.
Therefore, When there is actual error so it shows the greatest percent error. Therefore, the option c is correct.
Learn more about an error here: https://brainly.com/question/3388972
Joe plans to save the same amount of money for 8 weeks. He wants to buy a new pair of jeans for $80 and a pair of shoes for $80. How much money should he save each week to buy both items?
Answer:34
Step-by-step explanation:
7839
Answer:
20
Step-by-step explanation:
the other guys answer is 34 and its incorect
My last 2 questions so I felt generous. (Answer them for brainiest)
Answer:
Step-by-step explanation:
19. 18-4.62=13.38 to spend on the systems or 6.69 a piece
20. 45000+300m=60000
m=50
45000+300m>60000
He needs at least 50 machines to make the 60000.
Can you help me I’ll give Brainlies 20 point
Which could be the first step in simplifying this expression? Check all that apply.
(x cubed x Superscript negative 6 Baseline) squared
(x Superscript negative 18 Baseline) squared
(x Superscript negative 3 Baseline) squared
(x Superscript negative 2 Baseline) squared
x Superscript 6 Baseline x Superscript negative 12 Baseline
x Superscript 5 Baseline x Superscript negative 4
Answer:
I think that the answers are B and D.
Step-by-step explanation:
(x^-3)^2
x^6 x^-12
I'm so sorry if it's wrong.
Answer:
The answer is C, D, E
Step-by-step explanation:
ON EDGE 2021
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x+6)
36°
Answer:
Step-by-step explanation:
Starting at sea level, a submarine descended at a constant rate to a depth of −56 mile relative to sea level in 4 minutes.
What was the submarine's depth relative to sea level after the first minute?
Enter your answer in the box as a fraction in simplest form.
mile plz help
Answer:
Step-by-step explanation:
-14 was the depth. constant rate -14, -28, -42, -56
How to answer this question please?
How many different committees can be formed from 8 teachers and 39 students if the committee consists of 2 teachers and 4 students?
Answer:
Step-by-step explanation:
8 učiteľov 39 študentov
1 výbor = 2 učitelia + 4 študenti
8 učiteľov :2=4
39 študentov :4= 9,75
Takže máme 4 výbory ...viacej to nemôže byť aj keď nám zostávajú študenti pretože je daný počet učiteľov...
Answer: 2303028
Step-by-step explanation:
Equivalent to 31/4 - ( - 5/8 )
GCF QUESTION FIRST TO ANSWER WITH THE CORRECT ONE AND EXPLAIN IT TO ME WILL GET BRAINLIEST
Answer:
2a^2
Step-by-step explanation:
I can't really explain the GCF/LCM type problems ,my sincere apologies
2. What is the location of item 2?
Answer:
(3,1)
Step-by-step explanation:
-(x + 3) -2(4x -3)
guys pls
Answer:
-9x+3
Step-by-step explanation:
remove parenthesis which gives you -x-3-8x+6
collect the like terms add -x to 8x
gives you -9x+3
Find the simple interest: Principal: $650 Interest Rate: 14% Time: 4 years
Answer:
292.50 dollars
Step-by-step explanation:
P = 650 is the the principal.
r = 0.09 is the interest rate in decimal form.
t = 5 is the number of years.
i = 650*0.09*5
i = 292.50 is the simple interest.
What is the measure of UVW in the triangle shown?
A. 140°
B. 50°
C. 60°
D. 10°
Answer:
b
Step-by-step explanation:
40 + 90 =130
180-130=50
In the number 8.028 does one 8 have a value of 100 times the other 8 ?
Answer:
No, The 8 in the ones place of the decimal and the 8 in the thousands. Decimals go by variables of 10 if that makes sense
so hopping from the 8 in the ones place it would go 10, 100,1000.
Therefore the statement is false because the value between the eitghts is not 100 its 1000
if m
please explain not sure
if m what? I'm confused
Which decimal is equivalent to
19/50
A.
0.19
B.
0.34
C.
0.38
D.
2.63
Answer:
c
Step-by-step explanation: