a deck of 52 playing cards consisting of four suits, has two red suits and two black suits. each suit has 3 face cards. what is the probability that any card is a red face card?

Answers

Answer 1

The probability that any card is a red face card is 3/26

What is Probability?

Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring.

Given,

Total number of cards = 52

Total number of face card in each suit is 3. As there are two red suit so total number of red face card is 3*2=6

Hence, the probability that any card is a red face card is

Number of red face card/Total number of cards

= 6/52

= 3/26

The probability of any card being a red face card are 3/26.

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Related Questions

DUE BY SATURDAY!! please help

Answers

Answer:

Step-by-step explanation:

so you don't understand at all

Answer:

a.+1,-1

b.+√13,-√13

c.no real solutions

d.no real solutions

Step-by-step explanation:

question no c&d has no real solutions but they have complex solutions

if you are not taught about complex numbers then the Answers to c&d are no real solutions but for complex solutions

c.+3i,-3i

d.+√5i,-√5i

Express 80 as the product of its prime factors.
Write the prime factors in ascending order.

Answers

Answer: [tex]2^4 \times 5[/tex]

Step-by-step explanation:

[tex]80=2 \times 40\\\\80=2 \times 2 \times 20\\\\80=2 \times 2 \times 2 \times 10\\\\80=2 \times 2 \times 2 \times 2 \times 5\\\\80=2^4 \times 5[/tex]

Select ALL the correct answers.
Consider the graph given below.
Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.

1)Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
2)Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2
3)Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
4)Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
5)Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6
6)Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units

Answers

The sequences of transformations that could be applied to the parent function are Reflected over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units i.e. Option (4).

What is transformation?

An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation. Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

The two-dimensional shape without any transformations is known as a preimage or inverse image. The transformed figure is shown in the image.

Given, the parent function, f(x) = x

From the given graph, the equation will be

y = -2x + 6

Then, the transformation will be

Shifted up 6 units

Vertical stretch by a factor of 2

Reflected over the y-axis

Hence, the required answer is Option 4.

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Geometric Transformations

Answers

The four letter code from the transformations is given as follows:

FB H.

How to obtain the four letter code?

The four letter code is obtained applying the transformations to the given points.

The coordinates of point 1 are given as follows:

(-4,2).

The transformation is a reflection over the x-axis, which has the rule given as follows:

(x,y) ->(x,-y).

Hence the coordinates of the image of point 1 are given as follows:

1'(-4,-2).

Meaning that the first letter is of F.

The coordinates of point 2 are given as follows:

(-2,3).

The transformation is a reflection over the y-axis, which has the rule given as follows:

(x,y) ->(-x,y).

Hence the coordinates of the image of point 2 are given as follows:

2'(2,3)

Meaning that the second letter is of B.

The coordinates of point 4 are given as follows:

(-1,2)

The transformation is a reflection over the line y = x, which has the rule given as follows:

(x,y) ->(y,x).

Hence the coordinates of the image of point 4 are given as follows:

4'(2,-1)

Meaning that the fourth letter is of H.

Missing Information

The third transformation is missing.

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Blaine is going bowling and will need to
pay $4 for shoes and then $3 for every
game. Write an equation for the
situation, if Blaine spends 16 dollars.

Answers

Answer: $16 = 4s + 3g

Step-by-step explanation:

s = shoes

g = games

If slope of a line is 7 and y-intercept is 4, then write the equation of that line.

Answers

Answer: The answer is y=7x+4

M is the slope and the y-intercept is b

Please help me with this question!

Answers

Answer:

Step-by-step explanation:

the answer is 11/12

Joe bought a box of laundry that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. If the box of detergent costs $19.99, how much is he paying per load of laundry?

Answers

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.b)   Price he paying for each load =  0.256

1. Which of the following is a perfect cube. (A) 100 (B) 68600 (C) 343000 (D) 400​

Answers

Answer: 68600

hope it helps!

68600 is the answer I think!

Hard A level Maths question, please help ASAP cheers

Answers

The value of the shaded area from the rectangle ACDE is approximately 52.124 square centimeters.

How to determine the value of the shaded area

In this problem we must calculate the shaded area of the section within the rectangle ACDE, this can be found by the subtracting the area of the region ABDE, which is the combination of the areas of the right triangle ABE and the arc BDE, whose formulas are shown below:

Triangle ABE

S = (1 / 2) · AB · AE

Arc BDE

S = (1 / 2) · α · ED²

Where α is the central angle, in radians.

Rectangle ACDE

S = ED · AE

If we know that AE = 20 cm, ED = 28 cm, α = π / 4 and AB = 20 cm, then the area of the shaded area is:

S = (28 cm) · (20 cm) - (1 / 2) · (π / 4) · (28 cm)² - (1 / 2) · (20 cm) · (20 cm)

S ≈ 52.124 cm²

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Manish borrowed some amount from bank at 4% per annum compounding yearly He lent the whole amount on anish at 6% per annum compound interest compounded half yearly if at the end of the year Manish gained Rs 104.5 find the amount that he borrowed from the bank​

Answers

Answer:

Below

Step-by-step explanation:

Amount borrowed = x

Amount owed to bank at end of 1 year = 1.04 x

Manish lent out x   then the  amount owed to him

           at end of 1 year =  x (1 + .06/2)^2 = 1.0609x

GAIN =  1.0609x  - 1.04x   = 104.5    solve for x = 5000.  Rs

The amount that Manish borrowed from the bank​ is ₹5000.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

If borrowed is ₹100 compound interest is ₹104

So, interest to be paid is 4.

If the shopkeeper got ₹100 then 6 months interest is 3 and next 3 months interest is ₹3.09 so interest to be paid is ₹6.09

Difference 6.09-4=2.09

If ₹2.09 is the difference principle is ₹100

₹104.50 is the difference the principle = (100×104.50)/2.09

= ₹5000

Therefore, the amount that Manish borrowed from the bank​ is ₹5000.

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a doctor claims that people are at most 6 pounds overweight. to test the claim, the doctor randomly selects 81 people and calculates the difference between their ideal weight and actual weight. the sample mean and sample standard deviation of that difference were 7 pounds and 2 pounds respectively. can we conclude at the 1% level of significance that the claim is true? group of answer choices yes, conclude the claim is true by rejecting h0. no, conclude the claim is not true by rejecting h0. no, conclude the claim is not true by accepting h0. yes, conclude the claim is true by accepting h0.

Answers

we conclude at the 1% level of significance that the claim is true by accepting H₀

What is Hypothesis?

A hypothesis outlines your expectations for the results of your investigation. It is a speculative, untested response to your research question.

Given,

n = 81

x bar = 7

s= 2

Here, a doctor claims that people are atmost 6 pound over weight

H₀ : μ ≤ 6 versus

H₀ : μ > 6 versus

Now,

The Test Stastistic is

t = x bar - μ / s√n

t = 7-6/2√81

t = 4.5

let ∝ = 0.10, then p value = 0.000

p value >∝

yes, conclude the claim is true by accepting H₀

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1.
The band and the orchestra are each having a party to celebrate the
results of their latest competition. The band would like to order cupcakes
from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee
The orchestra would like to order cupcakes from Publix at $2.90 each
and a $22.50 order fee. This system {2.90c +22.50 represents the
total cost, T, and the number of cupcakes. Determine how many
cupcakes each club can order if they both have the same amount of
money to spend. Is the solution viable or not viable?

Answers

By solving a linear equation, it can be calculated that

Each club can order 21.1 cupcakes if they both have the same amount of

money to spend

What is a linear equation?

Equation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by an equal to sign

A one degree equation is called linear equation

Let the number of cupcakes ordered by each club be c

The band would like to order cupcakes from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee

Total amount spent = $(13 + 3.35c)

The orchestra would like to order cupcakes from Publix at $2.90 each

and a $22.50 order fee

Total amount spent = $(22.5 + 2.90c)

By the problem,

The linear equation is

13 + 3.35c = 22.5 + 2.90c

3.35c - 2.90c = 22.5 - 13

0.45c = 9.5

c = 21.1

This solution is not viable as the number of cupcakes must be an integer not a decimal.

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PLEASE HELP ME I TOOK A PICTURE

Answers

The inequality to describe the possible side length for the third side is 1 < x ≤ 19.

What is the inequality of a triangle?

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than or equal to the third side of a triangle. This statement can symbolically be represented as; a + b > c. a + c > b.

The triangle inequality tells that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

We have given,

Two sides of a triangle have lengths 9 and 10.

The third side is represented by x.

So by triangle inequality, we have the following inequality:

x ≤ 9 + 10

x ≤ 19

Also, the difference between the lengths of any two sides of a triangle is less than the length of the third side.

10 - 9 < x

1 < x

Hence, the inequality to describe the possible side length for the third side is 1 < x ≤ 19.

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2) Given that Y and P are two events and P(Y) = 0.57, P(P) = 0.5 and P(Y UP) = 0.84,
Draw a Venn Diagram and find:
a) P(Yn P)
b) P(Y|P)
c) P(P|Y)
d) P(Y/P')

Answers

a) The value of P(Y∩P) =0.23

b) The value of (Y|P) = 0.34

c)  The value of (P|Y) = 0.27

d) The value of P(Y/P') = 0.68

What is Venn diagram?

A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.

Given that there are two events Y and P.

P(Y) = 0.57

P(P) = 0.5

P(Y∪P) = 0.84

The formula of intersection is  P(Y∩P)  = P(P) + P(Y) - P(Y∪P)

Putting P(Y) = 0.57, P(P) = 0.5, P(Y∪P) = 0.84

P(Y∩P)  = 0.5 + 0.57 - 0.84

P(Y∩P) = 0.23.

b)

P(Y|P) = P(Y) - P(Y∩P)

P(Y|P) = 0.57 - 0.23

P(Y|P) = 0.34

c)

P(P|Y) = P(P) - P(Y∩P)

P(P|Y) = 0.5 - 0.23

P(P|Y) = 0.27

d) P(Y/P') = P(Y∩P') / P(P')

P(Y/P') = P(Y|P)/[1 - P(P)]

P(Y/P') = 0.34/(1- 0.5)

P(Y/P') = 0.68

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which statements about XYZ are true?

Answers

XYZ is a scalene triangle, because each of the lengths of the sides are different.

YZ is 7 units in length.

XY is 6 units in length.

triangle XYZ has an area of 20 square units, because if you substitute the values into the formula ½ x length of the base x perpendicular height, you get 20 square units.

Answer:

HOPE IT'S HELPFUL

Step-by-step explanation:

XYZ is a scalene triangle

Coach Burgess drew a right triangle on the board. He said the hypotenuse was 13 inches and one of the legs was 5 inches. What is the length of the other leg? Round to the the tenths place

Answers

The length of the other leg is 12 inches.

What is the Pythagorean theorem?

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

The hypotenuse of a right triangle is the side opposite the right angle, and the legs of a right triangle are the two sides that are adjacent to the right angle.

If we know the length of the hypotenuse and one leg of a right triangle, we can use the Pythagorean theorem to find the length of the other leg.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

We can use this theorem to write the equation:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

In this problem, the hypotenuse is 13 inches and one of the legs is 5 inches. We can substitute these values into the equation to find the length of the other leg:

c² = a² + b²

(13)² = a² + (5)²

169 = a²+ 25

144 = a^2

a = 12

Hence, the length of the other leg is 12 inches.  

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Container A has 1000.75 mL of water and is draining 10.8 mL per minute. Container B has 800.75 mL of water and is draining 5.8 mL per minute. After how many minutes will the two containers have the same amount of water?

Answers

After 40min. water in both container A & B will be equal.

Let after 't' min. water in both the containers is same.

Water in Container A is 1000.75 ml & is draining at rate of 10.8ml/ min.

after 't' min. water will be = 1000.75 - 10.8t   .......(eq 1)

Water in Container B is 800.75 ml & is draining at rate of 5.8ml/ min.

after 't' min. water will be = 800.75 - 5.8t        ........(eq 2)

Now, we know that after 't' min. water in both container A & B is equal, so we can equate equation 1 with equation 2 and find out the value of 't' .

1000.75 - 10.8t = 800.75 - 5.8t

1000.75 - 800.75 = 10.8t - 5.8t

200 = 5t

t = 40 min.

Hence, after 40min. water in both container A & B will be equal.

What is a Container?

Something that can hold or move something is known as a container.

Eg- water, oil etc.

What is meaning of Draining Rate?

A channel or drain for water drainage.

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Which of the following values is not an irrational number?
5.73, ,√73, √40
O 5.73
O TT
3/73
O√40

Answers

The number that is non-irrational is 5.73, because it can be written as a quotient of two integers.

Which of the following options is not an irrational number?

A rational number is a number that can be written as a quotient of two integer numbers, while an irrational number can't be written like that.

Also, the square root of a non perfect square is also irrational.

Here the options are:

5.73, ,√73, √40

Notice that neither of the square roots of non perfect square numbers, so these are irrational numbers.

In other hand, if we see the first one:

5.73

We can rewrite this as:

5.73 = 573/100

So this is a quotient of two integers, then this is a rational number, so this is the correct option.

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what is this pleasee i give brainliest

Answers

The Slope of the line is -3/2

How to find Slope of the Line ?

By Substituting x=26

=1/9/8*26+8/3

=-3/2

The slope formula is as follows if P(x1,y1) and Q(x2,y2) are the two points on a straight line:Slope, m = Y-coordinate change / X-coordinate changem = (y2 – y1)/(x2 – x1) (x2 – x1)As a result, using the formula above, we can quickly determine the slope of a line connecting two locations.The rise of the line from one point to another (along the y-axis) over the run is another way to describe the slope of a line between two points (along x-axis). A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.

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Julie buys a pair of earrings for $7. Now she would like to buy the same earrings for 2 of her friends. How much will she spend for all 3 pairs of earrings

Answers

$21 because 7x3 is 21
7•3= 21 therefore the answer is $21

three hot dogs cost $82.86 and 2 hamburgers cost $55.12. which food has the lower unit price​

Answers

Answer:

Hamburgers

Step-by-step explanation:

82.86/3 = 27.62

55.12/2 = 27.56

27.56 is smaller so hamburgers it is!

Consider this right triangle. 20 m 37° Enter the length of side AB, to the nearest tenth.

Answers

Answer:

15.1

Step-by-step explanation:

tan(angle) = opposite/adjacent

tan 37 = AB/20

AB = 20 x tan 37 = 20 x 0.754 = 15.08 or 15.1

At a football stadium, 4% of the fans in attendance were teenagers. If there were 170 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

4,250

Step-by-step explanation:

If 4% of all fans were teenagers, and 100 divided by 4 is 25, simply math of 170 times 25 gives you 4,250

Therefore, the answer is 4,250

Answer:

Total number of people = 4,250

Step-by-step explanation:

4% of 4,250 = 170


Fátima, Gabriel y José tienen un total de $1080 en sus carteras. Gabriel tiene 3 veces lo que José tiene. Fátima tiene $70 menos
que José. ¿Cuanto dinero tienen en sus carteras?

Answers

Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.

¿Cómo determinar el dinero requerido en sus carteras?

En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:

x - Cantidad de dinero de Fátima.

y - Cantidad de dinero de Gabriel.

z - Cantidad de dinero de José.

Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.

x + y + z = 1080

Gabriel tiene 3 veces lo que José tiene.

y = 3 · z

Fátima tiene $ 70 menos que José.

x = z - 70

A continuación, resolvemos el sistema de ecuaciones lineales:

x + y + z = 1080

(z - 70) + 3 · z + z = 1080

5 · z - 70 = 1080

5 · z = 1150

z = 1150 / 5

z = 230

x = z - 70

x = 230 - 70

x = 160

y = 3 · z

y = 3 · 230

y = 690

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Help with question 1

Answers

Answer: D

Step-by-step explanation:

Given the tally marks its 16ths, and the point is on the 3rd tally so it would be 10-3/16 Hope this helps!

The equation 4(2x 1) = 6x − 12 models the change in water level in a lake in one month. solve for x, which is change in height in inches. x equals negative thirteen halves x = −8 x = 8 x equals eleven halves

Answers

From the given options, option 2. x= -8 is the correct option. Here, the x is change in height in inches so the, change in height is -8 inches.

A linear equation is simply an equation with the highest degree always being 1. The standard form of a linear equation in one variable is Ax + B = 0. x is a variable in this equation, and A and B are constants. A two-variable linear equation has the standard form Ax + By = C. The variables x and y are variables, their coefficients A and B are variables, and C is a constant.

Given, linear equation is

[tex]4(2x+1)=6x-12\\\\8x+4=6x-12\\\\8x-6x=-4-12\\\\2x=-16\\\\x=-8[/tex]

Hence, the x equals to -8.

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The pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags. How much fabric is needed to make 1 flag?

Answers

It will take 0.05 yards of fabric to make one flag.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that a pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags.

Assume that the total fabric needed is [x] yards. So -

(1.5 x 3) yards is needed to make 90 flags.

4.5 yards is need to make 90 flags.

1 flag will need (4.5/90) yards or 0.05 yards of fabric is needed.

Therefore, it will take 0.05 yards to make 1 flag.

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Describe the error in finding the distance between A(6, 2) and B(1,−4). What is the actual length?

Answers

Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is [tex]\sqrt{61}[/tex] units.

What do you mean by distance?

A line or line segment's length between two points along the line or line segment.

What is the formula to calculate distance between two points?

The required formula is:

[tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

(x1,y1)= (6,2)

(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^{2}+(-4-2)^{2}}[/tex]

[tex]d=\sqrt{25+36}[/tex]

[tex]d=\sqrt{61}[/tex] units.

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Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is  units.

What do you mean by distance?
Distance refers to the amount of space between two or more points, or the measure of how far apart two or more points are. It can be measured in various ways, including miles, kilometers, inches, centimeters, and more. Distance is often used to measure the length of a journey or the amount of space between two physical objects. It can also refer to the amount of time between two events, such as the distance between two birthdays. Distance can also be used to describe the relative or emotional separation between two people, such as the distance between a parent and a child.

What is the formula to calculate distance between two points?

The required formula is:

[tex]d =\sqrt{(x2-x1)^2 +(y2-y1)^3}[/tex]

(x1,y1)= (6,2)
(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^2 + (-4 -2)^2}[/tex]
[tex]d = \sqrt{25+36}[/tex]
[tex]d = \sqrt{61} units[/tex]

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Simplify each expression.
8x+13 - 3x + 9/1/2

Answers

Answer:5x+22

there you gooo

Answer:

5x+ 45/2

Step-by-step explanation:

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