Assume the cards are drawn sequentially and without replacement. In how many ways can 5 spades be drawn from a standard deck of 52 cards?

Answers

Answer 1

The number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

In this question we have been given a standard deck of 52 cards.

We need to find the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement.

We use the permutation formula.

We know that the number of ways to choose r elements from a set of n distinct objects where order does matter and replacements are not allowed.  

^n(P_r) = n! / (n - r)!

We know that, in a standard deck of 52 cards, there are 13 spade cards.

So, n = 13

5 spades to be drawn

So, r = 5

Using the formula of permutation,

^13(P_5)

= 13! / (13 - 5)!

= 154440

Therefore, the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

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Related Questions

A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 16 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 4 minutes. If we assume that attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.

Lower Limit:
Upper Limit:

Answers

Using the t-distribution, the limits of the 95% confidence interval are given as follows:

Lower: 30.9.Upper: 35.1.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 16 - 1 = 15 df, is t = 2.1315.

The other parameters are given as follows:

[tex]\overline{x} = 33, s = 4, n = 16[/tex]

Hence the bounds of the interval are given as follos:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 33 - 2.1315\frac{4}{\sqrt{16}} = 30.9[/tex][tex]\overline{x} + t\frac{s}{\sqrt{n}} = 33 + 2.1315\frac{4}{\sqrt{16}} = 35.1[/tex]

Which are the lower and the upper bound, respectively.

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Which expression are equivalent to X+2y+x+2
A)2(x+y+1)
B)2x+4y+4
C)none of the above

Answers

C none of the above. X has an invisible 1 in front of it. You have two of them so 2X nothing you can do with the rest but just bring it down. Answer is 2X + 2Y + 2.

The reciprocal of 2/19 is
(Type an integer or a fraction.)

Answers

Answer:

-19/2

Step-by-step explanation:

If you want the reciprocal you need to change the sign to the opposite and flip the numbers.

(-4c³d)²

someone answer this asap i’ll make it the brainiest please

Answers

this would be the answer to your problem.

Seven times the sum
of a number,n, and four

Answers

Answer:

7(n + 4) or 7×(n + 4)

Step by step explanation:

Angle Z and Angle X on intersecting lines are vertical angles. If Angle Z is 63°, what is Angle X?

Answers

The measure of angles X if Angle Z and Angle X on intersecting lines are vertical angles is 63 degrees

Vertical angles

Vertical angles are a pair of opposite angles formed by intersecting lines. In vertical angles, the angles meet at point X.

Given the following parameters

angle Z = 63degrees

If the angleZ and angle X are vertical angles, hence <X = <Z

Therefore;

<X = 63 degrees

Hence the measure of angles X if Angle Z and Angle X on intersecting lines are vertical angles is 63 degrees

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larger of two numbers is 13 more than twice the smaller number. the sum of the numbers is 52. find each number

Answers

Answer:

13 and 39

Step-by-step explanation:

let the smaller number be n then the larger number is 2n + 13 , so

n + 2n + 13 = 52

3n + 13 = 52 ( subtract 13 from both sides )

3n = 39 ( divide both sides by 3 )

n = 13

2n + 13 = 2(13) + 13 = 26 + 13 = 39

then smaller number is 13 and larger number is 39

Find an equation of the line that has a slope of 5 and a
y
-intercept of
(
0
,
8
)
. Write your answer in the form
y
=
m
x
+
b
.

Answers

I would just guess because you didn’t even make it to where anyone can answer your question

Let f(x)=12(4)x−1. Evaluate f(3)

Answers

Answer: f(3)=143

Step-by-step explanation:

f(x)=12(4)x−1

f(x)=48x−1

f(3)=48(3)−1

f(3)=144−1

f(3)=143

how much would $500 invested at 4% interest compounded monthly be worth after 7 years ? A(t)=P*e^nt

Answers

The worth of the investment is $1.51 * 10^39

How to determine the compound amount?

The given parameters are

Principal, P = $500

Rate, r - 4%

Time, t = 7 years

Number of times, n = 12

So, we have:

A(t)=P*e^nt

This gives

A(12) =  500 *e^(12 * 7)

Evaluate

A(12) = 1.51 * 10^39

Hence, the worth of the investment is $1.51 * 10^39

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Refer to the number line. Find the coordinate of point C that’s is 7/8 of the distance from M to J

Answers

Answer:

  C = 16

Step-by-step explanation:

Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.

Distance

The distance from M to J is the difference of their coordinates:

  J -M = 18 -2 = 16

7/8 of that distance is ...

  (7/8)(16) = 7(16/8) = 7(2) = 14

You are being asked for the coordinate of the point that is 14 units from M in the direction of J.

Point

To find the coordinate of C, we add the desired distance to the coordinate of M:

  C = M +14

  C = 2 +14 = 16

The coordinate of point C is 16.

if keiths Baseball game this year, the ratio of times he has gotten on base to the times he has been at bat is 4/14. select 3 ratios that are equivalent to 4/14

Answers

The three equivalent ratios to 4/14 are:

b) 2/7c) 8/28d) 6/21.

What is an equivalent ratio?

Equivalent ratios are ratios having the same proportion to each other when they are put in their simplest forms.

Ratios are how much a variable is in relation to the whole.  Ratios are the same as proportions or portions of the whole variable

Ratios can be shown as decimals, fractions, percentages, or with the ratio sign (:).

Data and Calculations:

For instance, 2/5 = 0.4 or 40%

2/7 = 4/14 (2 x 2/7) or 0.2857

8/28 = 4/14 (4/14 x 2) or 0.2857

6/21 = 4/14 (4/14 ÷ 2 x 3) or 0.2857

3/4 = 0.75

Thus, the three equivalent ratios to 4/14 are b) 2/7, c) 8/28, and d) 6/21.

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Question Completion:

a) 2/5

b) 2/7

c) 8/28

d) 6/21

e) 3/4

Solve for x: −7 < x − 1 < 8 (1 point)
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9

Answers

The value of x in the inequality is: D. -6 < x < 9

How to Solve an Inequality?

Given the inequality,  −7 < x − 1 < 8, solve for the possible values of x as shown below:

−7 < x − 1

Add 1 to both sides

-7 + 1 < x - 1 + 1

-6 < x

or

x − 1 < 8

Add 1 to both sides

x - 1 + 1 < 8 + 1

x < 9

Combining both inequalities together, the value of x is: D. -6 < x < 9

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Answer:

98 Glass pitchers.

Step-by-step explanation:

You can determine this is the answer due to multiplying the sum and the product together, making the final answer 98 Glass pitchers. Hope this helped! :D

Se desea estimar el ingreso familiar medio de los padres de familia de un barrio
de Arequipa con un error no exceda a 10 nuevos soles. ¿Qué tamaño, como
mínimo, debe tener la muestra para que la media sea estimada con una precisión
del 95%, si se sabe que la desviación estándar de los salarios mensuales es de 50
nuevos soles?

Answers

Using the z-distribution, it is found that a sample size of 97 is required.

What is a z-distribution confidence interval?

The confidence interval is as follows:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error is given by the following rule:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

For this problem, considering a margin of error of 10, the parameters are given by:

[tex]M = 10, \sigma = 50[/tex]

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Then we take the margin of error equation and solve for n as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]10 = 1.96\frac{50}{\sqrt{n}}[/tex]

[tex]10\sqrt{n} = 50 \times 1.96[/tex]

[tex]\sqrt{n} = 5 \times 1.96[/tex]

[tex](\sqrt{n})^2 = (5 \times 1.96)^2[/tex]

n = 96.04

Rounding up, as a sample size of 96 results in M > 10, we have that:

A sample size of 97 is required.

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PLEASE HELP
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.

2 x 102
2 x 103
0.7 x 101
6.67 x 102

Answers

The amount of times that the the bacterial cell is smaller than the amoeba cell is; 150 times

How to use law of indices?

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.

We are given;

Length of a bacterial cell = 3 * 10⁻⁶ m

Length of an amoeba cell = 4.5 * 10⁻⁴ m

Thus, to get the amount of times that the bacterial cell is smaller than the amoeba cell, we need to convert the Length of a bacterial cell to have same exponent as that of the Length of an amoeba cell before dividing.

Thus;

Length of a bacterial cell = 3 * 10⁻⁶ m

Length of an amoeba cell = 450 * 10⁻⁶ m

Thus, the amount of times that the the bacterial cell is smaller than the amoeba cell is;

(450 * 10⁻⁶)/(3 * 10⁻⁶) = 150 times

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The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of people in the pool.

0123456201614434285574697888

median =
years (Do not round)

Answers

The median is 16.

What is the median?

A stem-and-leaf plot is a table that is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.

Median can be described as the number that occurs in the middle of a data set that is arranged either in ascending or descending order.

The median of 21 numbers would be the 11th number. The 11th number is 16.

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The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?

Solve the proportion StartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFraction to answer the question. Explain your steps.
Answer:3/4 teaspoons Trust me it is correct

Answers

The number of teaspoons of pepper required for beef is ( 3 / 4).

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes the number of teaspoons required for 9 potatoes will be calculated as below:-

3 potatoes = ( 1 / 4 ) teaspoon

1 potato = ( 1 / 12 ) teaspoon

9 potatoes = 9 / 12 teaspoon

9 potatoes = 3 / 4 teaspoon

Therefore, the number of teaspoons of pepper required for beef is ( 3 / 4).

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Which expression is the completely factored form of x³ + 8y6 ?
O (x+2y²) (x² - 2xy² + 4y¹)
○ (x+2y²) (x² + 4yª)
○ (x+2y²)³
(x − 2y²) (x² + 2xy² + 4y¹)
-

Answers

Attached is the Correct Answer Please verify yours.

[tex](x + 2 {y}^{2} )( {x}^{2} - 2x {y}^{2} + 4 {y}^{4} )[/tex]

Ellen's living room is 5 meters wide and 7 meters long. She wants to install indigo carpet that costs $10.00 per square meter. How much will it cost to buy enough carpet for the living room?

Answers

It will cost $350.00 to buy enough carpet for the living room.

What is an area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of the three-dimensional object.

Now it is given that,

Length of room,l =

Width of room, w =

So, area of the room =  l*w = 7*5

area of the room = 35 square meter

Since, indigo carpet costs $10.00 per square meter

Thus, total cost to install the carpet =  area of the room*carpet costs

total cost to install the carpet = 35*10

total cost to install the carpet = $350

Thus, It will cost $350.00 to buy enough carpet for the living room.

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use whole numbers and decimals to write 19.06 in expanded form

Answers

Answer:

19 + 0.06

taking out the whole number leaves you with 0.06

or you could do 10 + 9 +0.06

if you want to split it up more

The expanded form of the number 19.06 is 1×10 + 9×1 + 0/10 + 6/100.

What are the standard form and expanded form of numbers?

Numerology can be expressed in a variety of ways. Word form is a means of expressing numbers verbally. Numbers can be written in expanded form by indicating the value of each digit. The digits 0 through 9 are used to write numerals in standard form, and each digit has a place value.

Given, A number in a decimal form which is 19.06.

This can be written as,

1×10¹ + 9×10⁰ + 0/10¹ + 6/10².

1×10 + 9×1 + 0/10 + 6/100.

Each digit has a face value and a place value.

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what is the linear equation that has a y-intercept of -4 and a x-intercept of -5

Answers

The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

Equation of a line

The equation of a line in slope intercept form is expressed y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:

Slope = y₂-y₁/x₂-x₁

Slope = 4/-5

Slope = -4/5

Determine the equation

y = -4/5x + (-4)

y = -4/5x - 4

Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

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A city in Texas started the day at -5 degrees Fahrenheit. The temperature increased by 15.1 degrees by nightfall. What is the final temperature at nightfall?

Answers

Step-by-step explanation:

Add 15.1 to -5-5 + 15.1 = 10.1

Answer:

The final temperature is 10.1 degrees Fahrenheit

4x-2y=20 x+y=-1

ayuda!!!!es urgente!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

A bakery is 12 meters wide and 19 meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $23.37 per meter. How much will the baker's shelf cost?

Answers

The cost of the baker's shelf is $1,448.94

How to calculate the cost of the baker's shelf ?

The length of the bakery is 12 meters

The width of the bakery is 19 meters

The wooden shelf costs £23.37 per meter

The cost can be calculated as follows

2(12+19) × 23.37

= 2(31) × 23.37

= 62 × 23.37

= 1,448.94

Hence the cost of the baker's shelf is $1,448.94

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Whats the value for w?

Answers

Hey there!

|6w - 18| = 12


You can say:

|6w - 18| = 12

6w - 18 = 12 or 6w - 18 = -12


First let’s solve for: 6w - 18 = 12

6w - 18 = 12

ADD 18 to BOTH SIDES

6w - 18 + 18 = 12 + 18

SIMPLIFY IT!
6w = 12 + 18

6w = 30

DIVIDE 6 to BOTH SIDES

6w/6 = 30/6

SIMPLIFY IT!

w = 30/6

w = 5


Second let’s solve for: 6w - 18 = -12

6w - 18 = -12

ADD 18 to BOTH SIDES

6w - 18 + 18 = -12 + 18

SIMPLIFY IT!

6w = -12 + 18

6w = 6

DIVIDE 6 to BOTH SIDES

6w/6 = 6/6

SIMPLIFY IT!
w = 6/6

w = 1


Therefore, your answer should be:

w = 5 or w = 1


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Three times the number m plus five equals fourteen.

Answers

Answer:3

Step-by-step explanation:

3m+5=14

     -5

3m=9

m=3

how far would the plane fly in 3 hours? in 3.5 hours?​

Answers

A plane would fly 350 miles in 3 hours

During an experiment, the temperature of a mixture changes from 12 1/4°F to 15 3/5°F. What is the percent of the increase in the temperature of the mixture? I need an answer to the as a percent rounded to the nearest hundredth.

Answers

During the experiment the temperature changes slightly. Hence

the percentage increase in the temperature of the mixture is 27.35%.

Given, the temperature of the mixture changes from 12 1/4°F to 15 3/5°F

we are asked to determine the percentage of increase in the temperature of the mixture.

Initial temperature = 12 1/4°F

convert it into proper fraction.

= 48+1/4

= 49/4°F

Final temperature = 15 3/5°F

convert it into proper fraction.

= 75+3/5

= 78/5

Therefore, percentage increase:

= Final temp - Initial temp/Initial temp × 100

% Increase = (78/5 - 49/4)/49/4 × 100

% Increase = (78×4 - 49×5/5×4)/49/4 × 100

% Increase = 312-245/5×49 × 100

as 4 gets cancelled from numerator and denominator.

% Increase = 67×100/249

% Increase = 6700/249

% Increase = 27.346%

we need to round it off to the nearest hundredth.

% Increase = 27.35%

Hence the percentage increase in the temperature is  27.35%.

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1.
Solve the Decimal Division Application. Round to the nearest tenth if needed.
There is approximately 0.16 square inches in 1 square centimeter. Determine
how many square centimeters are in 64 square inches.
40,000 square centimeters
10.2 square centimeters
400 square centimeters
4,000 square centimeters

Answers

Answer:

c, 400

Step-by-step explanation:

64 square in. = 412.902 square cm

412.902 rounded equals 400

hope that helps <3

The breadth of the rectangular garden is 2
3
of its length. If its perimeter is 40 cm, what are its

dimensions.

Answers

Answer:

Length = 12cm

Width = 8cm

Step-by-step explanation:

Let the length be x

Let the width be 2/3x

Perimeter = 2 (l+b)

Length = 2 (x+2/3x) = 40

= x + 2/3x = 40/2

= x + 2/3x = 20

= x/1 + 2/3x = 20

LCM = 3

= 3x + 2x = 20

______

3

= 3x + 2x = 20 x 3

= 5x = 60

= x = 60/5

= x = 12

Width = 2/3 of 12

= 2/3 × 12

= 8

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