Answer:
Step-by-step explanation:
Where’s the number line
Seven cards are selected from a standard deck of cards. a) Determine the probability that exactly 5 of them are hearts. b) Determine the probability that there are 3 hearts and 3 diamonds. c) Determine the probability that there are 3 hearts, 3 diamonds and 1 spade. d) Determine the probability that there are 2 Aces and 2 Kings. e) Determine the probability that there are 2 Aces and 3 Kings.
Answer:
a
[tex]P(A_1) = 0.007[/tex]
b
[tex]P(A_2) = 0.016[/tex]
c
[tex]P(A_3) = 0.008[/tex]
d
[tex]P(A_4) = 0.004[/tex]
e
[tex]P(A_5) = 0.0002[/tex]
Step-by-step explanation:
From the question we are told that
The number of cards selected is n = 7
Generally in a standard deck of cards
The total number of cards is N = 52
The number of hearts is h = 13
The number of diamonds is d = 13
The number of spade is s = 13
The number of Ace is a = 4
The number of kings is k = 4
Considering question a
The number of ways to selected 5 hearts out of the 13 hearts is mathematically represented as
[tex]G = ^{13}C_5[/tex]
Here C means combination so
The number of cards that is not hearts is 52 - 13 = 39
Generally the number of ways of selecting the reaming 2 cards is
[tex]H = ^{39}C_2[/tex]
Generally the number of ways to select the 7 cards from the 52 deck of cards is
[tex]V = ^{52}C_7[/tex]
Generally the probability that exactly 5 of the 7 cards are hearts is mathematically represented as
[tex]P(A_1) = \frac{G * H}{V}[/tex]
=> [tex]P(A_1) = \frac{^{13}C_5 * ^{39}C_2}{^{52}C_7}[/tex]
=> [tex]P(A_1) = 0.007[/tex]
Considering question b
The number of ways to selected 3 diamonds out of the 13 diamonds is mathematically represented as
[tex] B = ^{13} C_3 [/tex]
The number of ways to selected 3 hearts out of the 13 hearts is mathematically represented as
[tex]K = ^{13}C_3[/tex]
The number of cards that is not hearts or diamond is 52 - (13 +13) = 26
Generally the number of ways of selecting the reaming 1 cards is
[tex]M = ^{26}C_1[/tex]
Generally the probability that there are 3 hearts and 3 diamonds is
[tex]P(A_2) = \frac{B * K * M}{V}[/tex]
=> [tex]P(A_2) = \frac{^{13}C_3 * ^{13}C_3 * ^{26}C_1}{^{52}C_7}[/tex]
=> [tex]P(A_2) = 0.016[/tex]
Considering question c
The number of ways to selected 1 spade out of the 13 spade is mathematically represented as
[tex]J = ^{13}C_1[/tex]
Generally the probability that there are 3 hearts, 3 diamonds and 1 spade is
[tex]P(A_3) = \frac{B * K * J}{V}[/tex]
=> [tex]P(A_3) = \frac{^{13}C_3 * ^{13}C_3 * ^{13}C_1}{^{52}C_7}[/tex]
=> [tex]P(A_3) = 0.008[/tex]
Considering question d
The number of ways to selected 2 Aces out of the 4 Aces is mathematically represented a
[tex]U = ^{4}C_2[/tex]
The number of ways to selected 2 Kings out of the 4 Kings is mathematically represented a
[tex]R = ^{4}C_2[/tex]
The number of cards that is not Aces or Kings is 52 - (4 +4) = 44
Generally the number of ways of selecting the reaming 3 cards is
[tex]S = ^{44}C_3[/tex]
Generally the probability that there are 2 Aces and 2 Kings is
[tex]P(A_4) = \frac{U * R * S}{ V}[/tex]
=> [tex]P(A_4) = \frac{ ^{4}C_2 * ^{4}C_2 * ^{44}C_3}{ ^{52}C_7}[/tex]
=>[tex]P(A_4) = 0.004[/tex]
Considering question e
The number of ways to selected 3 Kings out of the 4 Kings is mathematically represented a
[tex]P = ^{4}C_3[/tex]
Generally the number of ways of selecting the reaming 2 cards is
[tex]Q = ^{44}C_2[/tex]
Generally the probability that there are 2 Aces and 3 Kings is
[tex]P(A_5) = \frac{U * P * Q }{V}[/tex]
=> [tex]P(A_5) = \frac{ ^{4}C_2 * ^{4}C_3 * ^{44}C_2 }{^{52}C_7}[/tex]
=> [tex]P(A_5) = 0.0002[/tex]
Name the slope and one point that is on the line
represented by the equation: y-6 = 9(x - 1)
A) m = -9 and point (-1,-6)
B) m = 9 and point (-1,-6)
C) m = 9 and point (1,6)
D) m = -9 and point (1,6)
Answer:
B
Step-by-step explanation:
the correct answer is b
Write 4.399 as a ratio of two integers. Enter your answer as a reduced improper fraction.
Answer:
Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000
Simplify the improper fraction,
=43991000
In conclusion,
4.399=43991000
We have that [tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
[tex]\frac{4399}{1000}[/tex]
From the Question we are told that
Write 4.399 as a ratio of two integers
Generally to reduce 4.399 to an improper fraction we have that
[tex]\frac{4399}{1000}=4.399[/tex]
Improper action representation of the given integer
We proceed to reducing the fraction .We see that the are no means to reduce the fraction
Therefore
[tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
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In developing their warranty policy, an automobile company estimates that over a 1-year period 17% of their new cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. If you bought two cars from this company, what is the probability that neither will need repair over a 1-year period
Answer:
Step-by-step explanation:
OVER A 1-YEAR PERIOD, it is estimated that
17 + 7 + 4 = 28% of new cars will need repairs (ranging from one repair to infinity number of repairs)
This means that the remaining percentage of new cars will NOT need any repairs over the 1-year period.
This percentage is 100 - 28 = 72%
The question is reframed thus: If you bought 2 cars from this company, what is the probability that none of them will need repair over the 1-year period?
What is the probability that none of the 2 cars falls within the 28% of cars which will need repair in the 1-year period?
72% = 72/100 = 0.72
this is the probability that a single car will not need repairs
the probability that 2 cars from this company will not need repair over a year is 0.72 ÷ 2 = 0.36
(1,0) (2,1) put into standard form
Answer:
(1,0) (2,1) = (0) (2,1) = (0) (2) = 0
Step-by-step explanation:
1,0 is multiplication which would be 0 and the same applies for 2,1 which would be 2. 0 x 2 is 0 you know it's multiplication because there's no symbol between the parenthesis.
5. If three times a number is increased by 4, the result is -8.
Step-by-step explanation:
Hey there!
Let the unknown number be x. Then;
According to the question;
3x+4= -8
3x = -12
x = -12/3
Therefore, x = -4
Check:
3*-4 +4 = -8
-12+4 = -8
-8= -8 (True).
Hope it helps...
Someone please help me with this I’m almost finished I just need this one PLEASEEEE
Answer:
2.7
Step-by-step explanation:
you substitute x in f(x) with 3 then get your answer which is 10 then substitute 10 for x in the formula g(x)
Y-4>3 solve the question
Answer:
y>7
Step-by-step explanation:
y-4>3
+4 +4
y>7
2+1x1000000000000000000
Answer:
30000000000000000.. ....
Find the area and the perimeter of the figure
Answe ASAP test ina couple minutes
Answer:
Area of rectangle = (l×b)
=14×6
=84 metre²
Perimeter of rectangle= 2×(l+b)
=2×(14+6)
=2×20
40 metre/cm {as it is not given}
Step-by-step explanation:
Hope this helps you
Crown me as brainliest
Answer:
Step-by-step explanation:
To find the area you need to multiply the two length and height.
14 x 6
This would equal 84.
For the perimeter you add all the sides. Since there are four sides to a rectangle and a square, you add 2 of the corresponding sides to the equation.
14+14+6+6
Or
2(14+6)
Or
2(14) + 2(6)
Which equals 40.
Write an example that is not an integer
Answer:
1/2, 1/4 3/72, .50, .25, etc.
Step-by-step explanation:
An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.
The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from City A to City B is 100 miles. The distance from City A to City C is 110 miles. Find the distance from CIty B to City C. Distance= __________miles
Answer:
144.66
Step-by-step explanation:
So here we use the Pythagorean theorem assuming that city b to c is the longest distance so we do 100^2+110^2=22100 then the square root 22100 which is approximately 148.66
The approximate z-score that corresponds to a right tail area of 0.45 is?
Answer: 0.1257
Step-by-step explanation:
Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.
We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]
From the z-score table, z-value corresponds for area of 0.45 is 0.1257.
That means [tex]z_0=0.1257[/tex]
Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .
Is f^-1(x) = x/9 - 5/9 a function?
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:
⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:
⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
What is 4/9 - 1/3 =
help
Answer:djjdd
Please I love free points secy
Step-by-step explanation:
Ok but guys is 10009
-167-(-12)=
answer it idk
Answer:
155
Step-by-step explanation:
All you do is subtract negetive 167 and take -12 away from 167.
Matt was standing 3 feet from the edge of the pool he walked away from the pool for four seconds then he was 12 feet away from the edge of the pool
Answer: graph b
Step-by-step explanation:
You play a game using fair dice and fair coins. First you flip 72 coins. For each coin that is a heads, you roll 5 six-sided dice. You sum all the six-sided dice you roll to calculate your total score. What is the expected total score from this game
Answer:
630
Step-by-step explanation:
Given that:
First flip = 72 coins
For each coin which is a head, you roll = 5, six-sided dice
Thus, the expected sum on a single six-sided dice = [tex]\sum x P(x)[/tex]
[tex]\sum x P(x)[/tex] = [tex]\dfrac{1}{6}\times (1+2+3+4+5+6)[/tex]
[tex]\sum x P(x)[/tex] = 3.5
Thus, the expected sum on the five six-sided dice = 5 × 3.5 = 17.5
However, for a single flip :
The expected sum = P(heads) × expected sum on 5 dice + P(tails) × expected sum on 0 dice.
Expected sum = [tex]\dfrac{1}{2} \times 17.5 + \dfrac{1}{2} \times 0[/tex]
Expected sum = 8.75
Hence, the expected total score from this game = 72 × 8.75 = 630
a bowl contains 4 yellow marbles, 5 red marbles, 1 blue marbles, and 3 green marbles. find the probabilityof the given outcome
Answer:
bowl of colorful marbels
Step-by-step explanation:
bowl+marbels
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Answer:
it is already an equation
Step-by-step explanation:
Answer:
Already and equation!
Step-by-step explanation:
Solving a System of Linear Inequalities
Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?
Answer:
y = 4/5x -1/5
Step-by-step explanation:
4x -5y = 1
-5y = -4x + 1
5y = 4x - 1
y = 4/5x - 1/5
What is the slope of line passing through (2, 7) and (4, - 6)?
Answer:
The slope is -13/2x + 20. In decimal form, -6.5x + 20
Zach mows lawns. He charges $5 plus $3 per hour. Alex also mows lawns He charges $2 plus $4 per hour. How many hours do they need to work to make the same amount
Answer:
They both need to work 3 hours to get the same amount of $14.
Step-by-step explanation:
If you have a graphing calculator handy, just graph the two expressions 3x + 5 and 4x + 2 and look for the point where they intersect. If you don't have a graphing calculator set up the equation 3x + 5 = 4x + 2. Subtract 4x from both sides to get -x + 5 = 2. Then subtract 5 from both sides to get -x = -3. Since x shouldn't be negative, divide both sides by -1. You do this because just like x is 1x, -x is -1x. After dividing, you should get x = 3.
A 190-second song is divided into 3 parts, the beginning, the middle, and the end. The beginning is 1/6 as long as the end. The middle part is 1/2 as long as the end. Find the length of each part.
The beginning is ____ seconds
The middle is _____ seconds
The end is ______ seconds
Answer:
The beginning part is 19 seconds.
The middle part is 57 seconds.
The end part is 114 seconds.
Step-by-step explanation:
First, you have to form expressions. Let the end part be x :
Beginning = (1/6)x
Middle = (1/2)x
End = x
Next, you have to add up altogether equals to 190 :
(1/6)x + (1/2)x + x = 190
(5/3)x = 190
x = 190 ÷ (5/3)
x = 114 s
Lastly, you have to substitute the x-value into the expressions :
Beginning = (1/6)(114) = 19 s
Middle = (1/2)(114) = 57 s
End = 114 s
Answer:
b is 19 seconds
m is 57 seconds
e is 114 seconds
Step-by-step explanation:
total = b + m + e
total = 1/6e + 1/2e + e
190 = 1/6e + 1/2e + e
190 = 10/6e
190 * 3/5 = e
114 = e
(1/6)e = b = (1/6)(114) = 19
(1/2)e = m = (1/2)(114) = 57
Which statement correctly describes the expression ( - 15)3?
Answer: One factor is positive and one is negative, so the product will be negative.
Answer:
One factor is positive and one factor is negative, so the product will be negative
Step-by-step explanation:
If you see there (-15)3 so -15 is a negative number and 3 is a positive and when you multiple a negative number with a positive number it becomes negative.
Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.
Answer:
If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.
what is 10x9= what is the answer to my questions slows
Answer:
90.
Step-by-step explanation:
10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.
Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place
Answer:
Austin is correct.
Step-by-step explanation:
19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.
Answer:
Neither are correct.
Step-by-step explanation:
8.21:
Tens Place - 0
Ones Place - 8
Tenths Place - 2
Hundredths Place - 1
19.5:
Tens Place - 1
Ones Place - 9
Tenths Place - 5
Hundredths Place - 0
None of the places are in common, so neither Jeffery nor Austin is correct.
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an
The sequence converges to a limit of 1/2.
We have,
Let's simplify the nth term of the sequence:
an = (n^2 + 3n) / (2n^2 + 5)
Dividing both the numerator and denominator by n^2, we get:
an = (1 + 3/n) / (2 + 5/n^2)
As n approaches infinity, the terms 3/n and 5/n^2 both tend towards zero.
Therefore, we have:
an = (1 + 0) / (2 + 0) = 1 / 2
The nth term of the sequence simplifies to a constant value of 1/2 as n approaches infinity.
Since the nth term converges to a specific value (1/2), the sequence itself is convergent.
The limit of the sequence is 1/2.
Thus,
The sequence converges to a limit of 1/2.
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The complete question:
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the sequence diverges, enter DIVERGES.)
Consider the sequence defined by the nth term an = (n^2 + 3n) / (2n^2 + 5).
If the independent variable becomes very large what would be the expected change in the dependent variable
Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Step-by-step explanation: