one card is selected from a deck of 52 cards and placed in a second deck (also 52 cards). a card then is selected from the second deck. (a) what is the probability that the second card is an ace? (b) given that an ace was drawn from the second deck, what is the conditional probability that an ace was transferred?
Answers
The probability of drawing an ace from the second deck is 1/13. Given that an ace was drawn from the second deck, the conditional probability that an ace was transferred is 1/17.
Probability that the second card is an ace:
There are initially 4 aces in the second deck.
The total number of cards in the second deck is 52.
Therefore, the probability of drawing an ace is 4/52.
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 4/52
Probability = 1/13
Conditional probability that an ace was transferred, given that an ace was drawn from the second deck:
Since an ace was drawn from the second deck, we know that the second card is one of the four aces.
There was initially one card transferred from the first deck to the second deck, so there are now 51 cards left in the second deck.
Out of these 51 cards, only 3 are aces (since one ace has already been drawn).
Conditional Probability = Number of favorable outcomes / Total number of remaining outcomes
Conditional Probability = 3/51
Conditional Probability = 1/17
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Related Questions
In your neighborhood, 725
of your neighbors have dogs. This is equivalent to what decimal?
Answers
Answer: 725 as a decimal is 7.25
725 as a fraction is 725/1
725 as a percent is 7250%
Step-by-step explanation:
725 as a decimal is 7.25
725 as a fraction is 725/1
725 as a percent is 7250%
7. Juan resuelve un examen que contiene 40 preguntas, se sabe que el número de preguntas buenas es el triple del número de preguntas malas (no dejó ninguna pregunta en blanco). ¿Cuántas preguntas buenas contestó? Si por cada pregunta le asignan 3 puntos y por cada error le restan un punto ¿Cuál fue su puntaje? A) 10,90 B) 20,100 C) 30,80 D) 40,60 E) 50,120
Answers
Answer:
La opción correcta es;
C) 30, 80
Step-by-step explanation:
Deje que el número de preguntas buenas sea X y el número de preguntas malas sea Y,
Se nos da que X = 3Y ............... (1)
y X + Y = 40 .................................. (2)
Por lo tanto;
Poniendo X = 3Y en la ecuación (2), tenemos;
3Y + Y = 40
4Y = 40
Y = 40/4 = 10
X = 3Y = 3 × 10 = 30
Por lo tanto, la buena pregunta respondida = 30
Dado que las buenas preguntas reciben 3 puntos y las malas preguntas reciben -1 punto, tenemos;
Puntaje total = Preguntas buenas × Punto otorgado + Preguntas malas × Puntos otorgados
Puntuación total = 30 × 3 + 10 × - 1 = 90 - 10 = 80
How do you make a table of values for a linear relationship?
Answers
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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Charla is finding points on a number line.
A B C D
At ++ ++++ ht
+
-9 8 7 6 5 4 -3 -2 -1 0 1 2 3 4
5 6 7 8 9
2
Which point could represent 3?
Ο Α.
ОВ
Ос
OD
Answers
Answer:
Point C represents 2/3
When a network adapter is configured to "obtain an IP automatically," it relies on the _____ to get an IP and related information.
Answers
When a network adapter is configured to "obtain an IP automatically," it relies on the DHCP server for IP and related information.
When a network adapter is configured to "obtain an IP automatically," it relies on the Dynamic Host Configuration Protocol (DHCP) server to obtain an IP address and related information. The DHCP server is a network service that automatically assigns unique IP addresses to devices on a network.
When a device connects to the network, it sends a DHCP request to the DHCP server. The server then responds with an available IP address from its configured pool, along with additional configuration parameters such as subnet mask, default gateway, and DNS server addresses. This process eliminates the need for manual IP configuration on each device and allows for efficient management of IP addresses within a network.
By relying on the DHCP server, devices can dynamically acquire network settings, ensuring smooth connectivity and simplifying network administration tasks.
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Which step is the first incorrect step in the solution shown below?
Solve: 2(x + 2) = 6x - 12
Step 1: 2x + 4 = 6x - 12
Step 2: -4x - 2 = 12
Step 3: -4x = 10
Step 4: x = -2.5
A. step 1
B.step 2
C. step 3
D. step 4
Answers
Answer:
Step 2 is incorrect. It should be -4x +2= -12
Step-by-step explanation:
The difference of three times a number and
9 is 19. Find the number.
Answers
Answer:
n = 9 \(\frac{1}{3}\)
Step-by-step explanation:
First, let's write an equation to show this statement, using a variable N for the number.
3n - 9 = 19
Now to isolate variable N, add nine to both sides to cancel out.
3n = 19 + 9
Simplify.
3n = 28
Now we can divide both sides by three to get our answer.
n = 9 \(\frac{1}{3}\)
Sorry about the fraction - Brainly wouldn't let me bold it :(
I hope this helps! As always, if you have questions, leave a comment, and i'll answer it as soon as I can (or maybe someone else will). Also if possible brainliest would be super appreciated, and I also just wanted to thank you for being SO GENEROUS with the points on this question. You don't even know how much I appreciate them!
what is (p−5)−(4p−7)?
Answers
Answer:
the answer is − 3 + 2
Find the value of 12
Answers
Hey there!☺
\(Answer:\boxed{12}\)
\(Explanation:\)
Since 12 is positive, the value would just stay the same and be 12.
The value of 12:
\(12\)
12 is the answer.
Hope this helps!☺
Solve for h:
2h-4x=-6y
Please provide steps also
Answers
That’s ur answer because you have to add 2x to the other side where 6y and then you divide the 2 from both sides and then 4 divided by 2=2 and then 6 divided by 2=3
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answers
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
Solve the following second-order linear differential equation with variable coefficients: y''(x) + x^2 y'(x) + (x^4 - 3x^2 - 6x - 6) y(x) = 0
Answers
Step-by-step explanation:
Example
A quadratic equation is a second order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
hassan has 784 apples, noura gave him 700 more apples, how many does he have?
Answers
Answer:
Step-by-step explanation:
your answer wold be 1,484
You spin a spinner that is equally divided into 9 parts. 3 parts are white, 3 parts are black, and 3 parts are yellow.
What is the probability of the spinner not stopping at a black section? Write your answer as a percent rounded to the nearest whole number.
(Thank you!!)
Answers
Answer:
6/9 67%
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
66,6% are 2/3 -> 67%
From the 9 parts are 6 left - > 9/6 = 2/3
If f(5) = 13, f'(s) is continuous, and integral_5^7 f'(x) dx = 19, what is the value of f(7)? f(7) =
Answers
Answer=32
Step by Step solution =
A line with a slope of
–
6 passes through the points (
–
6,
–
5) and (
–
7,c). What is the value of c?
Answers
Answer:
c=11
Step-by-step explanation:
We have two points ( 6,5) and (7,c) and a slope of 6
The slope formula is
m = ( y2-y1)/(x2-x1)
6 = (c-5)/(7-6)
6 = (c-5)/1
6 = c-5
Add 5 to each side
6+5 = c-5+5
11 =c
Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3
solution: (
,
)
Answers
So your first “equation equals to x so then you substitute the X in the second equation with the first equation. Which would give you 3(2y+7)-2y=3 then you solve (make sure to distribute). Which would give you y=-4.5 Can you substitute your y answer in your first equation. Which would be x= 2(-4.5)+7 then your solve
a.
The following is not a goal included in the Goals 2000: Educate America Act:
all children in America will start school ready to learn
b. the number of high-school graduates will rise to 80 percent or more
every American adult will be literate
d.
all schools will promote parents' participation in their children's education
C.
Please select the best answer from the choices provided
A
0
Answers
Answer:
B
Step-by-step explanation:
Answer:
I belive is option B
Step-by-step explanation:
what number is the opposite of 0
Answers
Answer:
No opposite
Step-by-step explanation:
Zero has no opposite because it is neither positive or negative.
The value of the number that is the opposite of 0 is 0
How to determine the number that is the opposite of 0From the question, we have the following parameters that can be used in our computation:
Number = 0
By definition:
The number that is the opposite of a number x is -x
using the above as a guide, we have the following:
Opposite = -0
Evaluate
Opposite = 0
Hence, the number that is the opposite of 0 is 0
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The given dot plot represents the average daily temperatures, in degrees Fahrenheit, recorded in a town during the first 15 days of September. If the dot plot is converted to a box plot, the first quartile would be drawn at , and the third quartile would be drawn at .
Answers
Answer:
Q1 = 61
Q3 = 63
Step-by-step explanation:
From the plot attached :
Data obtained is :
Temperature frequency
59 0
60 2
61 3
62 3
63 4
64 2
65 1
Frequency Total 15
Data in raw format :
60,60,61,61,61,62,62,62,63,63,63,63,64,64,65
The first quartile :
Q1 = 1/4(n+1)th term
n = 15
Q1 = 1/4(15+1)th term
Q1 = 1/4 * 16th
Q1 = 4th term
Q1 = 61
Third quartile (Q3):
Q3 = 3/4(n+1)th term
n = 15
Q3 = 3/4(15+1)th term
Q3 = 3/4 * 16th
Q3 = (48/4)th term
Q3 = 12th term
Q3 = 63
Answer:
Q1 is 61 and Q3=63
Find x.
○6.2
○7.8
○8.2
○4.2
Answers
Answer:
the answer is 4.2 .................
a vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8-ounce cup. if the standard deviation of the amount of coffee dispenses is 0.5 oz and the amount is normally distributed, determine the percent of times the machine will dispense more than 7.1 oz.
Answers
To determine the percentage of times the machine will dispense more than 7.1 oz of coffee, we need to calculate the z-score and find the corresponding area under the normal distribution curve.
The z-score is calculated using the formula:
z = (x - μ) / σ
where x is the value we're interested in (7.1 oz), μ is the mean (7.6 oz), and σ is the standard deviation (0.5 oz).
Let's calculate the z-score:
z = (7.1 - 7.6) / 0.5
z = -0.5 / 0.5
z = -1
Now we need to find the area under the normal distribution curve for a z-score of -1. We can use a standard normal distribution table or a statistical calculator to find this area.
The area corresponds to the probability that the machine will dispense more than 7.1 oz.
Using a standard normal distribution table, we can find that the area to the left of z = -1 is approximately 0.1587. Since we're interested in the area to the right (more than 7.1 oz), we subtract this value from 1:
P(X > 7.1) = 1 - 0.1587
P(X > 7.1) ≈ 0.8413
Therefore, the vending machine will dispense more than 7.1 oz approximately 84.13% of the time.
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Michaela is making memory boxes. She wants to cover the boxes with sheets of decorative paper on all sides before filling them. This net represents a single memory box.
How much paper is needed to cover each memory box?
Enter your answer in the box.
in²
Net of rectangular prism. The top rectangle has a horizontal length of 35 inches. There is a second rectangle below it. One either side of the second rectangle, there is a rectangle with a horizontal length of 24 inches and a vertical length of 30 inches. There are two rectangles below the second rectangle.
Answers
Answer:
area = 5220 in²
Step-by-step explanation:
It's a little difficult to ensure accuracy without a diagram of the net, but from what you have said, the net appears to comprise of:
2 rectangles: 35 x 242 rectangles: 24 x 302 rectangles: 35 x 30Therefore, the total area of the net is:
⇒ area = 2(35 x 24) + 2(24 x 30) + 2(35 x 30)
⇒ area = 5220 in²
5220
5220
5220
5220
5220
5220
5220
Please help... Geometry
Answers
Answer:
i cant load the picture
Step-by-step explanation:
Answer:
\( \bold{a) \: BC} \: = \bold{ \boxed{13 \sqrt{2} }}\)
\( \bold{b) \: x = 7}\)
\( \large{ \mathbb{ \purple{hope \: it \: helps}}}\)
Find the 49th term.
-15, -10, -5, O, 5, ...
49th term = [?]
1st term + common difference(desired term - 1)
Enter
Answers
Answer:
49th term = 225
Step-by-step explanation:
The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.
An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.
The general formula, for the nth term of an arithmetic progression, is thus:
Tn = a + (n - 1)d, where a = first term, and d = common difference.
In the sequence: -15, -10, -5, 0, 5...,
a = -15, and d = -10--15 = 5
T49 = -15 + (49 - 1)5 = 225
∴ 49th term = 225
is this statement true or false? the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian.
Answers
It is False that the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian. .
Where is prime meridian located?In a geographic coordinate system, a prime meridian is any line of longitude when longitude is defined to be 0°. A great circle is formed by a prime meridian and its anti-meridian (the 180th meridian in a 360° system).
A spheroid, like the Earth, is divided into two hemispheres by this vast circle: the Eastern Hemisphere and the Western Hemisphere (for an east-west notational system).
Different conventions have been used or supported for Earth's prime meridian throughout history in various places. The IERS Reference Meridian is the current international prime meridian for the Earth. It is developed from the former Greenwich Meridian, however it is somewhat different.
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Pls Help 100 points. JK, KL, and LJ are all tangent to circle O. JA = 14, AL= 12, and CK= 8. What is the perimeter of triangle JKL?
Answers
The perimeter of triangle JKL is determined as 68 units.
What is the perimeter of triangle JKL?The perimeter of triangle JKL is calculated as follows;
The perimeter of triangle JKL is the sum of all the distance round the triangle.
Perimeter = length JK + length LK + length JL
AL = CL = 12
Length LK = CL + CK = 12 + 8 = 20
JA = JB = 14
KB = CK = 8
Length JK = JB = KB = 14 + 8 = 22
Length JL = JA + AL = 14 + 12 = 26
The perimeter of triangle JKL is calculated as;
Perimeter = 20 + 22 + 26
Perimeter = 68 units.
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Given: mEY=2mYI
Prove: mK + mEXY =5/2 mYI
Answers
Given mEY = 2mYI, we can prove mK + mEXY = (5/2)mYI using properties of intersecting lines and transversals, substitution, and simplification.
1. Given: mEY = 2mYI
2. We need to prove: mK + mEXY = (5/2)mYI
3. Consider the triangle KEI formed by lines KI and XY.
4. According to the angle sum property of triangles, mKEI + mEIK + mIKE = 180 degrees.
5. Since KI and XY are parallel lines, mIKE = mEXY (corresponding angles).
6. Let's substitute mEIK with mKEI (since they are vertically opposite angles).
7. Now the equation becomes: mKEI + mKEI + mIKE = 180 degrees.
8. Simplifying, we have: 2mKEI + mIKE = 180 degrees.
9. Since mKEI and mIKE are corresponding angles, we can replace mIKE with mYI.
10. The equation now becomes: 2mKEI + mYI = 180 degrees.
11. We know that mEY = 2mYI, so substituting this into the equation: 2mKEI + mEY = 180 degrees.
12. Rearranging the equation, we get: 2mKEI = 180 degrees - mEY.
13. Dividing both sides by 2, we have: mKEI = (180 degrees - mEY) / 2.
14. The right side of the equation is equal to (180 - mEY)/2 = (180/2) - (mEY/2) = 90 - (mEY/2).
15. Substituting mKEI with its value: mKEI = 90 - (mEY/2).
16. We know that mEXY = mIKE, so substituting it: mEXY = mIKE = mYI.
17. Therefore, mK + mEXY = mKEI + mIKE = (90 - mEY/2) + mYI = 90 + (mYI - mEY/2).
18. We are given that mEY = 2mYI, so substituting this: mK + mEXY = 90 + (mYI - 2mYI/2) = 90 + (mYI - mYI) = 90.
19. Since mK + mEXY = 90, and (5/2)mYI = (5/2)(mYI), we have proved that mK + mEXY = (5/2)mYI.
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can anyone please help me asap? thanks in advance.
1. In three minutes Alex typed 120 words. At this rate, how long would it take him to type a 4800 word assignment?
2. The ratio of the length to the width of the Canadian flag is 2:1. What is the width of a 50 cm long Canadian flag?
3. A bulk nut mixture is priced at $1.14 per 100 grams. How much is 600g of this mixture?
please show ur work for each.
Answers
Answer:
1. 2 hours
2. 25cm
3. 6.84
Step-by-step explanation:
120÷3=40
4800÷40=120 so 2 hours
for the second one just divide 50 in half
for 3 just do $1.14×6
Answer:
1. 120 min
2. 25 cm
3. $6.84
Step-by-step explanation:
1. 120 words : 3min
multiply each side by 40 because 120 words times 4 is 4800 words
4800 words : 120min
2. 2 : 1 = length : width
multiply each side by 25 because 2 times 25 is 50 cm
50 cm : 25 cm
3. $1.14 : 100 grams
multiply each side by 6 because 100 grams times 6 is 600 grams
$6.84 : 600 grams
LAST QUESTION TO MY TEST I DONT WANNA FLUNK HELP ME
Find the slope given these points:
(-1,7) & (2,2)
-5/3
5
5/3
Answers
Answer:
the answer to the question is -5/3