What is the probability that Karen's second card will be a black card?

Answers

Answer 1

The probability that Karen's second card will be a black card is 3/650.

How to determine probability?

After Sandra deals Karen a red seven, there are 51 cards remaining in the deck, of which 26 are black cards. So the probability of Karen drawing a black card on her second draw depends on whether or not the first card she drew was black or red:

If the first card Karen drew was black, then there are 25 black cards left in the deck out of 50 cards, since one card has already been drawn. So the probability of Karen drawing a black card on her second draw is 25/50 = 1/2.

If the first card Karen drew was red, then there are still 26 black cards left in the deck out of 50 cards, since one card has already been drawn. So the probability of Karen drawing a black card on her second draw is 26/50 = 13/25.

Since there are 26 red cards and 26 black cards in a standard deck of playing cards, the probability of Karen being dealt a red seven by Sandra is 2/52 = 1/26.

To find the overall probability of Karen being dealt a red seven and then drawing a black card on her second draw, multiply the probability of these two events occurring:

P(red seven and black card) = P(red seven) × P(black card on second draw | red seven)

P(red seven) = 1/26

P(black card on second draw | red seven) = 13/25

P(red seven and black card) = (1/26) × (13/25) = 13/650

Therefore, the probability of Karen's second card being a black card, given that Sandra dealt her a red seven, is 13/650.

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The complete question:

Sandra and Karen are playing a game of cards with a standard deck of playing cards. Sandra deals Karen a red seven. What is the probability that Karen’s second card will be a black card?


Related Questions

The sum of two rational numbers is 4/7.If one of them is 3/14 find another numbers.​

Answers

Answer:

5/14

Step-by-step explanation:

let the aaded no be x

3/14 + x = 4/7

x = 4/7-(3/14)

x = 5/14

here added no is 5/14

To study the eating habits of all athletes in his school, Christopher obtains a list of the athletes, divides them into groups of varsity and junior varsity, and randomly selects a proportionate number of individuals from each group. Which type of sampling is used? Select the correct answer below: Cluster sampling Systematic sampling Convenience sampling Stratified sampling

Answers

In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.

By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.


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Answer for ten points!

Answers

Answer:

Step-by-step explanation:

Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18

Answers

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

heyyyyyyyyyyyy helpppp

heyyyyyyyyyyyy helpppp

Answers

Answer:

its b

Step-by-step explanation:

Answer: the answer B sorry if its wrong

Step-by-step explanation: have a nice day buddy

On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0). Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D? D = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot

Answers

Answer:

distance = 5 units

Step-by-step explanation:

In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.

Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:

\(distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:

C=(-1,4)

\(x_{1}=-1\)

\(y_{1}=4\)

and for point D

D=(2.0)

\(x_{2}=2\)

\(y_{2}=0\)

so we can now use those values in our distance formula so we get:

\(d=\sqrt{(2-(-1))^{2}+(0-4)^{2}}\)

\(d=\sqrt{(3)^{2}+(-4)^{2}}\)

\(d=\sqrt{9+16}\)

\(d=\sqrt{25}\)

d=5 units.

On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point

Answer:

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot

5  units

Step-by-step explanation:

Just did it on Edg

PLEASE HELP The perimeter of an equilateral triangle is 48 cm . Find the height of the triangle to the nearest whole number please

*UNKNOWN LINKS WILL BE REPORTED

Answers

Answer:

17.2 cm

Step-by-step explanation: Each side would be 19 cm since a triangle has three sides. Next, we will use pythagorean theory. Since the equation would be a^2 + b^2 = c^2. Since 19^2 is 361 and is getting subtracted by 64 (we get it because at the bottom, we have to split it. also, 8 squared is 64). Then we get 297, which the base root with one number behind the decimal would be 17.2 cm.

the burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. find the number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles. use excel, and round your answer to two decimal places.

Answers

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

What is Z-score?

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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As monte carlo simulation is essentially statistical sampling, the larger the number of trials used, the more precise is the result.
a. True
b. False

Answers

True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.

Step by Step Explanation:

Monte Carlo simulation is a mathematical technique or statistical sampling which is used to predict all possible outcomes of any uncertain event.The larger the number of trials more is the accuracy as it is based on the past data to predict the future outcomes.example : For the prediction of first month sale of any new launch product you can revise more number of old data.It help to calculate probability  more accurately.

Therefore, it is true to have more number of trials in Monte Carlo simulation  statistical sampling for precise result.

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i realy need help please​

i realy need help please

Answers

Answer:

x = 128 degrees

Step-by-step explanation:

First figure out the angle inside the triangle

1st step: add 55 and 73 together:

⇒ 55 + 73 = 128

2nd step: subtract the sum from 180:

⇒ 180 - 128 = 52

to find x, take 180 again and then subtract 52 from it:

⇒ 180 - 52 = 128

First lest’s find the measure of the missing angle in the triangle we have the sup of the angles in a triangle is equal to 180 so the missing angle will be 180- 73-55 = 52
Now let’s find x we have a 180 degrees angle so to find x we have to subtract 52 from 180.
The answer will be x = 128 degrees

What is the median of the following numbers?
8, 10, 10, 10, 6, 7, 8

Answers

10 is the median as it is the most occurring number in the whole series

Kara Paid 24.64$ to ship 11 packages. Each package has the same size and weight. How much did it cost to ship 1 package?

Answers

Answer:

2.24$

Step-by-step explanation:

anyone knows the answer?! ​

anyone knows the answer?!

Answers

Answer: 1.3

Step-by-step explanation:

You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?

Answers

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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The sum of two numbers is 130 and their difference is 34. Let x be the first number and y be the second number. Set up a system of equations and use the elimination method to find the numbers

Answers

The numbers are 82 and 48

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Let x represent the first number and y represent the second number.

Equation 1, sum of the numbers:

x + y = 130

Equation 2, difference of the numbers:

x - y = 34

Using the elimination method system of equations to solve:

 x  +  y  =  130

 x  -   y  =  34

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

Add the two equations to eliminate the y term leaving:

2x = 164

Divide both sides by 2:

x = 82

Find y from first equation: x  +  y  =  130

substituting 82 for x in the equation

82 + y = 130

Subtract 82 from both sides:

y = 48

The two numbers in the system of equation are 82 and 48.

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Which of the following explains the relationship between angles B and C?

Answers

Considering that the angles are opposite by the same vertex, the relationship between angles B and C is given by:

Vertical Angles.

What is the relationship between angles B and C?

Researching this problem on the internet, it is found that there is a vertex, and angles are diagonal, also called opposite by the same vertex. These angles are also called vertical angles, hence this is what describes the relationship between these angles.

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Results of a study were F (3, 12) = 2.72. Which of the following is the correct statistical decision?
Group of answer choices
Reject the null hypothesis, there was a statistically significant mean difference.
Reject the null hypothesis, there was not a statistically significant mean difference.
Fail to reject the null hypothesis, there was a statistically significant mean difference.
Fail to reject the null hypothesis, there was not a statistically significant mean difference.
How do you find the P-value?

Answers

The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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Which expressions result in an irrational number?

Which expressions result in an irrational number?

Answers

The correct statement regarding which expression results in an irrational number is given as follows:

1) II, only.

What are rational and irrational numbers?

Rational numbers are numbers that can be represented by a ratio of two integers, which is in fact a fraction, and examples are numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating. Examples are integers, fractions and mixed numbers.Irrational numbers are numbers that cannot be represented by a ratio of two integers, meaning that they cannot be represented by fractions. They are non-terminating and non-repeating decimals, such as non-exact square roots.

Hence only II is the irrational number in this problem, as it has the non-exact square root of 2.

For item 3, we have that the square root of 5 multiplies by itself, hence it is squared and the end result is the rational whole number 5.

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A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).

What is the domain of the relation?

{x| x = –4 , 0, 1, 2}.
{x| x = –7, –6, 2, 11, 3}.
{y| y = –4, 0, 1, 2}.
{y| y = –7, –6, 2, 11, 3}.

Answers

Answer:

B. {x| x = –7, –6, 2, 11, 3}

Step-by-step explanation:

The domain of the relation is {x | x = –5, –3, 1, 2, 6}. Therefore, the correct option is A.

The given ordered pairs are (-6, 0), (2, 1), (-7, -4), (11, 2) and (3, 2).

We need to find what is the domain of the relation.

What is the domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Consider the provided diagram.

Here the left side represents the input (x) values and the right side represents the output (y) values.

The domain refers to the set of possible input values.

Now consider the provided figure, the set of the input values is:

{x | x = –5, –3, 1, 2, 6}.

The domain of the relation is {x | x = –5, –3, 1, 2, 6}. Therefore, the correct option is A.

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In a survey of 3000 people who owned a certain type of car 600 said they would buy that type of car again what percent of the people surveyed were satisfied with the car
?

Answers

Using the percentage concept, it is found that 20% of the people surveyed were satisfied with the car.

What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, 600 out of a total of 3000 people were satisfied with the car, hence:

\(P = \frac{600}{3000} \times 100\% = 0.2 \times 100\% = 20\%\)

20% of the people surveyed were satisfied with the car.

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5.25 divided by 3
Thank You.

Answers

Answer:

1.75

Step-by-step explanation:

1.75 :) you can check your answer by multiplying by 3!

Brainliest would be appreciated

A line passes through points (-3,5) and (2,-10) which equation represents the line

Answers

Answer:

y=-3x-4

for the line that passes through the points

What is the answer for X-5(x-1)=x(2x-3) ?

Answers

Answer:

1 2/3

Step-by-step explanation:

x-5x+5=2x-3x

-4x+5= -1x

5=3x

5/3=x

1 2/3=x

The first answer is x = -1.85078 and the second answer is x = 1.35078. There are two solutions.

Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool

Answers

The number of units that tile will he need to surround his pool is 19.82units.

this question is of quadratic equation ,

The number of units of tile simply refers to the perimeter.

So, we need to find all the sides of the rectangle.

Now, we have,

AB = 4.24 units

BD = 7.07 units.

So, we can find AD using pythagoras theorem.

So,

(AD)² + 4.24² = 7.07²

(AD)² + 17.978 = 49.985

(AD)² = 49.985 - 17.978

AD = √32.007

AD = 5.66 units

AD = BC = 5.66 units

Likewise, AB = DC = 4.24 units

Thus,

perimeter = 2(5.66) + 2(4.24) = 19.8 units.

The number of units that tile will he need to surround his pool is 19.82units.

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Mr. Gurung sold a bicycle for Rs 18,816 and made a profit of 12%. if he wants
to increase his profit by 3%, at what price should be sell the bicycle

please help me:(​

Answers

Answer:

Rs. 23520

Step-by-step explanation:

Given that :

At 12% profit ; sales price = 18,816

At (12 + 3)% profit ; sales price = x

Hence,

0.12 = 18,816

0.15 = x

Cross multiply ;

0.12x = 0.15 * 18816

0.12x = 2822.4

x = 2822.4 / 0.12

x = 23520

Hence, sales price for a 3% increaa in profit should be Rs. 23520

Solve the inequality 6x – 8 > 4x + 26.
Ox<9
Ox< 17
Ox>9
Ox> 17

Answers

Answer:

The answer is x>17

Step-by-step explanation:

First subtract 4x from both sides

6x - 8 > 4x + 26

-4x. -4x

2x - 8 > 26

8 is negative so to get rid of it add 8 to -8 and 26

2x - 8 > 26

+8. +8

2x > 34

x needs to be by itself so divide both sides by 2

2x > 34

2. 2

x > 17

116% of what number is 29

Answers

Answer:

To find the number, you can set up the following equation:

116% of x = 29

To solve for x, divide both sides of the equation by 116% (which is 1.16):

x = 29 / 1.16 ≈ 25

Therefore, 116% of 25 is approximately 29.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

to find the answer, use algebra! :)

1.16x = 29

x = 29 / 1.16

x = 25

easy!

When a metal is heated, its density decreases. There are two sources that give rise to this decrease of p: (1) the thermal expansion of the solid and (2) the formation of vacancies (Section 4.2). Consider a specimen of gold at room temperature (20°C) that has a density of 19.320 g/cm³. (a) Determine its density upon heating to 800°C when only thermal expansion is consid- ered. (b) Repeat the calculation when the introduc- tion of vacancies is taken into account. Assume that the energy of vacancy formation is 0.98 eV/atom, and that the volume coefficient of thermal expansion, a, is equal to 3a.

Answers

(a) Consider only thermal expansion using the volume coefficient of thermal expansion.
(b) Consider the introduction of vacancies using the energy of vacancy formation and the change in number of vacancies.

When a metal is heated, its density decreases due to two sources: thermal expansion of the solid and the formation of vacancies.

(a) To determine the density of a gold specimen at 800°C considering only thermal expansion, we need to use the volume coefficient of thermal expansion. The volume coefficient of thermal expansion (β) for gold is given as 3 × 10^-5 K^-1. We can calculate the change in volume using the equation:

ΔV = V * β * ΔT

where ΔV is the change in volume, V is the initial volume, β is the volume coefficient of thermal expansion, and ΔT is the change in temperature.

Since density is inversely proportional to volume, we can use the equation:

ρ = m / V

where ρ is the density, m is the mass, and V is the volume.

(b) To repeat the calculation considering the introduction of vacancies, we need to use the energy of vacancy formation (E) given as 0.98 eV/atom. The change in energy (ΔE) due to the introduction of vacancies can be related to the change in number of vacancies (ΔNv) using the equation:

ΔE = ΔNv * E

Since vacancies contribute to a decrease in density, we can relate the change in number of vacancies to the change in density using the equation:

Δρ = -ΔNv * (m / V)

where Δρ is the change in density, ΔNv is the change in number of vacancies, m is the mass, and V is the volume.

It's important to note that the calculation of the change in density due to vacancies requires additional information, such as the number of atoms per unit volume and the change in number of vacancies.

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A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.
Which statement is true about whether A and B are independent events?

A and B are independent events because P(A∣B) = P(A) = 0.18.
A and B are independent events because P(A∣B) = P(A) = 0.4.
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Answers

Answer: A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Step-by-step explanation:

They are not independent events because if they were P(A∣B) and P(A) would be equal.

Given f(x) = -2x³ + x² - 2 find f(1)

Answers

Answer:

-3

Step-by-step explanation:

\(f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3\)

Hope this helps!

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Hot spots have helped define the outlines of the continents by:Multiple Choice1- shaping the boundaries along which continents separate, due to location of the rift arms2- "welding" continents together due to rising magma bodies and eruptions of lava3- melting the edges of continents away to form indentions along the coast Assume the following: i. The public holds no currency. ii. The ratio of reserves to deposits is 0.1. iii. The demand for money is given by Md = $Y(0.8 - 4i) Initially, the monetary base is $100 billion, and nominal income is $5 trillion. a. What is the demand for central bank money? b. What is the overall supply of money? Find the equilibrium interest rate. Calculate pressure, density, temperature, velocity, Mach number, entropy, total temperature, and total pressure after the normal shock of a vehicle flying at Mach of 5.5 at an altitude of 80 km. How can the Church's darkest hours be used as proof that she teaches faith & morality infallibly? Complete #2 for me and show proof , will give brainliest to whose right . I'll mark brainlist 20 points What are some of the argument's weaknesses? Do these weaknesses involve logical fallacies, misuse of evidence, lack of evidence, poor consideration of the needs of the audience, or something else? What are some examples? Solve for a.a+(1.2)=5.5Enter your answer in the box.a = Which statement best describes Lincoln's main viewpoint before the Civil War? Isosceles triangle 7 units what are the sides anything that applies. sec0 is undefined for 0 = Ion think jesus is even religious LOL Using the given points, determine the slope.(5, -6) and (2, 15) product of x and y divided by the difference of a and b women participated in the global influence of the united states in many ways, including as all of the following except yvonne and gregory spend most of their leisure time with one another, leaving their child at home. they are more concerned with their own needs than those of their child. according to baumrind, what parenting style do yvonne and gregory utilize? multiple choice question. authoritarian neglectful indulgent authoritative Suppose, we need to differentiate numerically the following function f(x) = 14x + 11.33x 11 Which differentiation rule (forward, backward, 3 point, or 5 point) would the most efficient to use in terms of computational performance and accuracy? Please explain.Obtain numerical solution of the ordinary differential equation y =3t10y with the initial condition: y(0)=2 by Euler method using h=0.5 Perform 3 steps if mary had 4.55$ and john had 15.18$ how much money do they have all together Suppose that Supply is given by Qs = 7 + 8P and the government sets a Qtax of 30. If Pbuy = 24, then what is the size of the tax (i.e. tax = Pbuy - Psell)?Round your answer to two (2) decimal places if necessary please help before my teacher gets mad at me The circumference of a circle is 19.468 meters. Find the radius of the circle.16.328 m6.2 m12.4 m3.1 m