Suppose that two cards are randomly selected from a standard​ 52-card deck.
​(a) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without​ replacement?
​(b) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with​ replacement?

Answers

Answer 1

Answer:

A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)

B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)

Step-by-step explanation:

correct me if. wrong


Related Questions

Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and three rap songs from a list of eleven rock songs, five alternative songs, and four rap songs?

Answers

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For the rock songs, we have three from a set of eleven, hence:

[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

For the alternative songs, we have four from a set of five, hence:

[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]

For the rap songs, we have three from a set of four, hence:

[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]

Since the songs are independent, the total number of ways is given by:

[tex]T = 165 \times 5 \times 4 = 3300[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

Determine whether each ordered pair is a solution to the inequality x+y<−1.

Answers

Answer:

Choice A.  (10, -1)
Choice B.  (-8, 9)
Choice D.  (6, -3)

Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
x+y > -2

10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers
for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 377 miles, what percentage of the trip’s distance have they completed?

None of these answer this question and I cant get it anywhere else

Answers

Answer:

325/377×100= 116% it means they completed 116%of the trip

Whats the value of the question

Answers

Answer:

8

----

125

Step-by-step explanation:

(2/5)³

2      2     2          8

--- x --- x ---  =  ---------

5      5     5         125

I hope this helps!

I need help with this question

Answers

                                                                                                                                                               

Step-by-step explanation:

                           

How to change account to have access to tutor

Answers

You need to buy Brainly pro, it’s a monthly subscription.

go into settings and click on subscription

Phoebe rounded a number to the nearest tenth and got 6.5. When she rounded it to the nearest whole number, she got 7. Which number could be the number she rounded?

Answers

Answer:

6.7

please give brainliest

(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!

I give you 10 pts

Answers

Answer:

[tex]\huge\boxed{\bf\:62}[/tex]

Step-by-step explanation:

[tex](9*7) + 7 - 8 = ?[/tex]

We can solve this by using the PEMDAS concept where,

P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = Subtraction

So, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).

[tex](9*7) + 7 - 8\\= (63) + 7 - 8[/tex]

Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).

[tex](63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8[/tex]

Now, subtract 8 from 70 .

[tex]70 - 8\\= \boxed{\bf\:62}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Jorge's math grade is calculated using a weighted average. Quizzes are worth 30%, homework is worth 10%, unit tests are worth 40%, and the final exam is worth 20%.

Jorge earned an average of 92% on his quizzes, 98% on his homework, 91% on his unit tests, and a score of 95% on his final exam.

What is Jorge's final math grade?

Answers

By rewriting the weights in decimal form and applying them to the correspondent percentages, we will see that the final grade is 92.8%.

What is Jore's final math grade?

The final grade will be given by:

G = a₁*x₁ + a₂*x₂ + ...

Where the values "a" are the weights, and the values "x" are the averages of Jeorge.

We know that the weights are:

30% on Quizzes.10% on homework40% on unit test.20% on the final exam.

Then we can write the weights in decimal form:

a₁ = 0.3

a₂ = 0.1

a₃ = 0.4

a₄ = 0.2

And the scores are:

92% on quizzes.98% on homework91% on unit tests95% on final exam.

So the final math grade will be:

G = 0.3*92 + 0.1*98 + 0.4*91 + 0.2*95 = 92.8%

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

Answer:

the answer is 92.8%

Step-by-step explanation:

need help with this question please

Answers

Answer:

your answer is correct

Step-by-step explanation:

AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°​

Answers

Answer:

84°

Step-by-step explanation:

The central angle of a circle is twice any inscribed angle subtended by the same arc.

because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).

as always, the sum of all angles in a triangle is 180°.

so, we know the triangle angle at A is

180 - 90 - 48 = 42°.

this is also the inscribed angle of the arc BC.

the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°

A prize is divided in the ratio 5:1 if the larger share is £65 what is the total prize?

Answers

Answer:

£78

Step-by-step explanation:

65 divided by 5= £13

13+65=£78

Answer:

£78

Step-by-step explanation:

Let the total value be T.

£65/T = 5/(5 + 1)£65/T = 5/6T = 65 x 6 / 5T = 13 x 6T = £78

Fill in the missing term on each line. Simplify any fractions.
4t + 11 = 19
4t =
Subtract 11 from both sides
t =
Divide both sides by 4

Answers

Answer:

Step-by-step explanation:

4t + 11 = 19

Subtract 11 from both sides

4t = 19 - 11

4t = 8

Divide both sides by 4

t = 8/4

t = 2

Which of the following is equivalent to
x
2
+
5
x
+
1
=
0
?

Answers

Answer:

x=  -1/7

Step-by-step explanation:

2x + 5x + 1 = 0

7x = -1

x =  -1/7

99 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.

Data Set 2 has a mean of 170.2 and a MAD of 1.7.

What can be concluded about the two distributions?

Select each correct answer.


The means-to-MAD ratio is 10.

The distributions are different.

The distributions are somewhat similar.

The means-to-MAD ratio is 7.

Answers

Answer:

the means to and reroof is 10

the distributions are somewhat similar

Step-by-step explanation:

Please Help i Need this asap and i dont know

Answers

Answer: Its 1,110

Step-by-step explanation:

if josh gives 13 fried fish and molly eats 10 how many left are there

Answers

Answer:

13-10=3 hence, the Q of ans is 3

Josh gives 13 FISH
Molly ate 10 FISH

13 - 10 = 3

So there are 3 left

Find the diameter of a circle with an
area of 99 yd?. Use your calculator's
value of pi and round your answer to
the nearest tenth

Answers

Answer: 832

Step-by-step explanation:

trust i got correct

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

Answer:

Your answer would be:
C.) 1,350 cm2

Volume = 0.5 x b x h x length

0.5 x (25 x 12) x 9 =
0.5 x 300 x 9 =
= 1,350 cm2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon. If 750 people go to this store each day, how many people would you expect to use a coupon?

Answers

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

What is probability?

Probability is the likelihood of occurrance of an event. It is given by:

Probability = number of occurrence / total number of possible occurence

A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.

Probability of using coupon = 32/40 = 0.8

Hence if 750 people go to this store each day, number of people sampled = 75.

Number of people expected to use the coupon = 75 * 0.8 = 60

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

Find out more on probability at: https://brainly.com/question/24756209

What numbers round to 200,000 when rounded to the nearest hundred thousand? Select all that apply.

Answers

Answers: Choice C and Choice D

165,400 and 220,574

=================================================

Explanation:

The value in the hundred thousands digit of 165,400 is "1". Just to right of it is "6", which is five or more, meaning we bump that "1" up to "2". Everything else gets replaced with a zero.

The number 165,400 rounds to 200,000 when rounding to the nearest hundred thousand. The number 165,400 is closer to 200,000 than it is to 100,000.

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

In 220,574 we have the first "2" in the  hundred thousands digit with another "2" just to the right of it. Since that second "2" is not five or more, we replace everything with zeros to get 200,000. We won't bump that first "2" up by one.

220,574 is closer to 200,000 than it is to 300,000.

These two sections help show why choices C and D are the answers.

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

Something like 142,026 rounds to 100,000 for similar reasoning as the previous section. So we can rule out choice B.

Choice A rounds to 100,000 as well, so we can rule it out also.

Choice D rounds to 1,000,000 which means we cross it off the list.

Need Help Please!!

Determining the price for a product can be tricky! Companies often have to juggle several variables in order to find the price that maximizes their revenue. Currently, the price of a product is set at $100. The company is getting about 20 customers per week at this rate. The company has done some research and found that they lose two customers for every $5 they increase their price.

Let the variable ”x” represent the number of times the company increases the price by $5. What is the price of the product when x= 3?

Answers

Check the picture below.

Woody has a lasso is 11ft long. No peep has a lasso that is 23ft longer than wordy how long is no peep lasso

Answers

Answer:

Bo Peep's lasso is 34ft long.

Step-by-step explanation:

Simply add 11 to 23.

Hope that helps!

Answer:

no peep lasso: 34ft

Step-by-step explanation:

11 + 23 = 34

Karen drew a triangle with side lengths 3 centimeters, 4 centimeters, and 5 centimeters. What is the perimeter of the triangle?​

Answers

Answer:

12 cm

Explanation:

The formula or method to find the area of any shape is to go around the shape.

In this case, they are 3, 4 and 5.

p = 3 + 4 + 5

p = 12 cm

(2)Please help with both questions

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Let's think of the boat and wind as vectors:

Boat Vector --> [tex]\langle28cos36^\circ,28sin36^\circ\rangle[/tex]

Wind Vector --> [tex]\langle10cos22^\circ,10sin22^\circ\rangle[/tex]

Now, let's add the vectors:

[tex]\langle28cos36^\circ+10cos22^\circ,28sin36^\circ+10sin22^\circ\rangle[/tex]

Find the magnitude (the true velocity):

[tex]\sqrt{(28cos36^\circ+10cos22^\circ)^2+(28sin36^\circ+10sin22^\circ)}\approx37.78\approx38[/tex]

Find the direction (angle):

[tex]\theta=tan^{-1}(\frac{28sin36^\circ+10sin22^\circ}{28cos36^\circ+10cos22^\circ})\approx32.32^\circ\approx32^\circ[/tex]

Thus, D is the best answer

Problem 2

Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of the vectors and [tex]||u||*||v||[/tex] is the product of each vector's magnitude:

[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{\langle-82,47\rangle\cdot\langle92,80\rangle}{\sqrt{(-82)^2+(47)^2}*\sqrt{(92)^2+(80)^2}})\\\\\theta=cos^{-1}(\frac{(-82)(92)+(47)(80)}{\sqrt{6724+2209}*\sqrt{8464+6400}})\\\\\theta=cos^{-1}(\frac{(-7544)+3760}{\sqrt{8933}*\sqrt{14864}})\\\\\theta=cos^{-1}(\frac{-3784}{\sqrt{132780112}})\\\\\theta\approx109.17^\circ\approx109^\circ[/tex]

Therefore, C is the best answer

Match each equation to the situation it represents.

Answers

Answer:

First one is 10x + 5 = 35

Second one is 5x + 10 = 35

Third one is 35x + 5 = 10

I really need help... can someone pls help me

Answers

Volume = length x width x height

Volume of large box = 4 x 3 x 5 = 60 cubic feet.


the volume of the smaller boxes is greater than the volume of the larger box so he cannot fit them all.

The total amount of carbohydrates in 3.5 bagels is 167.37 grams. How many grams of carbohydrates would one bagel have?

Answers

Answer:

47.82 grams of carbohydrates.

Step-by-step explanation:

3.5 bagels have 167.37 grams of carbohydrates.

1 bagle = ???

In order for 3.5 to be 1 (just as we are asked) we need to divide by 3.5 both the amount of bagles and the amount of carbohydrates.

3.5 / 3.5 = 167.37 / 3.5

1 bagle = 47.82 grams of carbohydrates.

I need help with this question?

Answers

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

x – 5 ÷ 3 + b
6b + 15b ÷ 3
c - 2c × 4

PLEASE ANSWER ITS CONFUSING

Answers

Hey there!


Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

QUESTION/EQUATION #1

x - 5 ÷ 3 + b

We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.

So, thus your answer will most likely be/

[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

QUESTION/EQUATION #2

6b + 15b ÷ 3

= 21b ÷ 3

= 7b

Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3

c - 2c × 4

REWRITE

= 1c - 2c × 4

COMBINE the LIKE TERMS

= 1c - 7

= -7c
Thus, your answer is: [-7c]

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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