There are 52 cards in a standard deck: 13 hearts, 13 clubs, 13 diamonds , and 13 spades. Timothy draws four cards at random from the deck, one of each suit. If he draws again , without replacing the four he drew, what is the probability that the next card is a heart

Answers

Answer 1

Answer:

[tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Total number of cards in a standard deck = 52

Number of hearts in the deck = 13

Number of clubs in the deck = 13

Number of diamonds in the deck = 13

Number of spades in the deck = 13

Four cards are drawn at random by Timothy.

These four cards are drawn from each one of the suits.

And the cards are not replaced.

Therefore, now cards remaining in each suit:

Remaining number of hearts in the deck = 12

Remaining number of clubs in the deck = 12

Remaining number of diamonds in the deck = 12

Remaining number of spades in the deck = 12

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases are 12 (i.e. number of hearts)

Total number of cases = 12 [tex]\times[/tex] 4 = 48

Therefore, the required probability is:

[tex]\dfrac{12}{48} = \bold{\dfrac{1}4}[/tex]


Related Questions

if a jigsaw puzzle is priced 17.00 but cost 17.68 at the register what is sales tax rate​

Answers

Answer:

4%

Step-by-step explanation:

17.68 / 17 = 1.04

1.04 - 1 = 0.04

0.04 = 4%

So the sales tax rate is 4%


What is the length of segment AB? (4 points)

A coordinate plane is shown. Point A is located at 6, 2, and point B is located at 0, 10. The points are connected by a line segment.
5
6
8
10

Answers

Answer:

10 units

Step-by-step explanation:

[tex]\sqrt{(0-6)^{2} +(10-2)^{2} }\\\\\sqrt{(-6)^{2}+(8)^{2} } \\\\\sqrt{36+64}\\\\\sqrt{100}\\\\10[/tex]

( In the PDF sorry I cant copy and paste it :( )


It's ON Graphing Inequalities

Answers

Answer:

Its A

Step-by-step explanation:

The answer is A, because the dot means it cant be 11, which is what the question is asking. Hope this helps!

11
12
How is an aristocracy similar to a monarchy?
O One person has complete control.
O A small council makes all the laws.
O People are born into their positions.
O Rulers must have a military background.

Answers

An aristocracy is similar to a monarchy because people are born into their positions. Option C is correct.

Given that,
To discuss how aristocracy is similar to a monarchy.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
Monarchy is a system of governance in which one or more people hold all the power and authority. Aristocracy, on the other hand, is a type of government in which the power is held by a small number of individuals who are typically thought to be the most competent members of the community.

Thus, An aristocracy is similar to a monarchy because people are born into their positions. Option C is correct.

Learn more about arithmetic here:

https://brainly.com/question/11559160

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answer: - c [people are born into their positions]

explanation: i'm taking the cumulative exam rn.

hope this helps, good luck ! <3

Use the definition of continuity to determine whether the function f(x) graphed
below is continuous at x = 0.

Answers

The function graphed below is not continuous.

On the graph at x = 0, the function is not continuous. There is a jump on the graph at x = 0.

A function is said to be continuous if the graph of the function has no break, hole or asymptotes.

In this graph it is clear that the graph is not continuous because the function approaches -4 until when x = 0 and then after x = 0, function takes the values from 1.

This causes a jump on the graph of the function which gives a discontinuity at x = 0.

Learn more about continuity  at https://brainly.com/question/24637240

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Working on abs do you see them?

Answers

Answer:

yes and free points woooooooooooo

Step-by-step explanation:

Drag each tile to the correct box. Not all tiles will be used. Consider function f. ​

Answers

Answer:

Steps in order will be

[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]

Step-by-step explanation:

Consider the function [tex]f(x)=\sqrt{7x-21}[/tex]

We need to find [tex]f^{-1}(x)[/tex]

For finding [tex]f^{-1}(x)[/tex]  replace f(x) with y

Step 1: Replace f(x) with y

[tex]y=\sqrt{7x-21}[/tex]

Now, solve for x

Step 2: Taking square on left side

[tex]y^2=(\sqrt{7x-21})^2\\y^2=7x-21[/tex]

Step 3 : take 7 common

[tex]y^2=7(x-3)[/tex]

Step 4 : Divide both sides by 7

[tex]\frac{y^2}{7}=x-3[/tex]

Step 5: Add 3 on both sides

[tex]\frac{y^2}{7}+3=x-3+3\\x=\frac{y^2}{7}+3[/tex]

Step 6: Replace x with y and x with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\frac{1}{7}x^2+3[/tex] where x≥0

Steps in order will be

[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]

Assuming one or 2 steps are missing in the diagram given.

Solve
6(2x- 5)= 15x+3

Answers

Answer:

x = -11

Step-by-step explanation:

6(2x- 5)= 15x+3     expand

12x - 30 = 15x + 3  combine similar terms

12x - 15x = 30 + 3  simplify

-3x = 33                 divide -3 both sides

x = 33 / -3             simplify

x = -11  

plz giving brainiest hurry fast plzz i beg

Answers

Answer:

59

because 116 - 180 = 64 +57 =121 -180 =59 I hope this helps!

Find the intercept of the y axis for 6x + 4y – 12z = 36. will give brainlest
(6, 4,-12)
(0, 0, -3)
(6, 0, 0)
(0, 9, 0)

Answers

Answer: ( 0, 9, 0)

Step-by-step explanation: They both equal 36 but i think (0, 9, 0) is the better fit out of (0, 9, 0), and (6, 0, 0)

Hope this helps :)

What is the correct name for this plane? (look to ss)

A. plane AJC

B. plane A

C. plane ABC

D. plane AB

Answers

Answer:

a. plane AJC

Step-by-step explanation:

In order to name a plane, you need to name at least 3 points in that plane, which are not in line.

If a shirt cost 10 dollars and I had a coupon for 25% off how much $ did I save?

Answers

2.75 I think
I hoped this helped
The answer is 2.75 ...

Xavier can swim at a constant speed of 5/3 meters/second. He is trying to qualify for the N ational Swim Meet. To qualify, he must complete a 100-meter race in 55 seconds. Will Xavier be able to qualify? Why or why not?

Answers

Answer:

Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs

Step-by-step explanation:

Here, we want to know if Xavier will be able to qualify or not

His constant speed is 5/3 m/s

Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s

So now, we need to know the bigger fraction between the two

Mathematically, that will be

5/3 - 20/11 = (55-60)/11 = -5/11

As we can see, the required speed is greater than what he can run

So this means that he will not be able to qualify

Inequality 1: 9 ≤ x


Inequality 2: 13 + x > 21


Which values in the set { 3, 5 ⅞, 6, 8.3, 9, 18 } make both inequalities true? Explain.

Answers

Answer:

Yeah i have no idea

Step-by-step explanation:

Can i have brainliest???

What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!

Answers

Answer:

D. 16 in.

Step-by-step explanation:

The radius of the circle is 8 in. The diameter of any circle is twice the radius.

2 x 8 = 16

The diameter is 16 in. long.

I hope this helped :)

Can y’all help me and tell me what the answer is please I’m a bit stuck

Answers

Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

[tex](-2x^4)^4=-16x^{16}[/tex]

The mistake here is when we have even power, the negative sign gets positive i.e [tex](-a)^m=a^m[/tex] if m is even

so, in our case it would be:

[tex](-2x^4)^4=16x^{16}[/tex]

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

HELP ASAP!!


For what values of x and y are the triangles to
the right congruent by HL?

Answers

bruh its so blury. make the same question with a different angle

Please help, if you put “I don’t know” or something like tjat just for the points I 100% guarantee I will report, don’t try me.

Answers

Answer:

122.5 People

Step-by-step explanation:

4500-90 = 4410

4410 divided by 36 equals 122.5

Answer: 120

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

Explanation:

n = number of people invited

n+2 = total number of people after adding Oscar and Julie

36(n+2) = total cost before the $90 fee

36(n+2)+90 = total cost after the $90 fee

Set that equal to the budget of 4500 and isolate n

36(n+2)+90 = 4500

36n+72+90 = 4500

36n+162 = 4500

36n = 4500-162

36n = 4338

n = 120.5

n = 120

We round down so that we don't go over budget

Oscar and Julie can invite 120 people.

-----------

Check:

If n = 120 then 36(n+2)+90 = 36(120+2)+90 = 4482 which is under budget

If n = 121 then 36(n+2)+90 = 36(121+2)+90 = 4518 which is over budget

This confirms that 120 is the answer.

Mrs. Albertson has $75 to spend at the hobby store. She decides to spend $30 on art supplies. Write an inequality that describes how much money Mrs. Albertson has left to spend at the hobby store.

Answers

Answer:

she has 45 dollars left

What is 3x + 2 = 4x - 1

Answers

Answer:

3 = x

Step-by-step explanation:

To simplify this equation, combine like terms:

3 = x

25 ÷ (-5)
i am looking for a mathematician

Answers

Answer:

-5 actually

Step-by-step explanation:

i love MATHH

Answer:

- 5

Step-by-step explanation:

A cell phone company charges $40 plus .05 per text. What is the slope?

Answers

y=0.05x+40
0.05x is the charge of each text
+40 is the initial charge

The slope will be 0.05.

What is the general equation of a Straight line?The general equation of a straight line is -

        y = mx + c

      [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

       Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                 {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)       {Two point - slope form}x/a + y/b = 1                                         {intercept form}x cos(β) + y sin(β) = L                         {Normal form}

We have a cell phone company charges $40 plus 0.05 per text

We can write the general equation for the cell phone as -

y = 0.05x + 40

Now, we can compare with the general equation of line as -

m = 0.05

Therefore, the slope will be 0.05.

To solve more questions on straight line, visit the link below-

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20 points!!!

Find the mean, median, and mode of the data set. Round to the nearest tenth.
test scores on a math exam:
88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85

A. Mean=75.8 median=79.5 mode=63

B. Mean=75.8 median=76.5 mode=63

C. Mean=69.5 median=76.5 mode=63

D. Mean=69.5 median=76.5 mode=79.5

Answers

Answer: choice B

Step-by-step explanation:

the mean is the sum of terms divided by the number of terms

mean=75.77, has to be rounded so it is 75.8

mode = 63 the one who appears the most

median is 76.5

Answer:

( LESSON 5 Measures of Central Tendency and Dispersion )

1 ) Find the mean, median, and mode of the data set. Round to the nearest tenth.  15,139,9,7,1,11,10,13,1,13

C ) mean= 9.3  ,median= 10  ,mode= 13

2 ) Find the mean, median, and mode of the data set. Round to the nearest tenth.  test scores on a math exam:

88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85

B) mean=75.8 ,median=76.5 ,mode=63

3 ) The table shows the number of hours that a grouped of students spent studying for the SAT.......

B ) Mean-18.3   Median- 19   Mode- 14   Range-9

4 ) A store sells five models of cameras for $190.00, $420.00, $270.00, $300.00, and $420.00.......

B ) mean = $339.20   median =$318.00   mode = $445.20   range=$243.80

Step-by-step explanation:

these are the correct answers for 2022 have a good day UwU

(From MATH workbook 8A)​

Answers

Answer:

x = 0.5

Step-by-step explanation:

Given

- 8.25x + 12 - 1.75x = 10.5x + 1.75 , that is

- 10x + 12 = 10.5x + 1.75 ( subtract 10.5x from both sides )

- 20.5x + 12 = 1.75 ( subtract 12 from both sides )

- 20.5x = - 10.25 ( divide both sides by - 20.5 )

x = 0.5

if U={natural number less than 10}, M={multiples of 2}, N={factors of 8} and O={even number} then can we write M intersection (N intersection O) = (M intersection N) intersection O? verify​

Answers

Answer:

yes

Step-by-step explanation:

u={1,2,3,4,5,6,7,8,9}

m={2,4,6,8}

N={1,2,4,8}

O={2,4,6,8}

Now

M intersection (N intersection O) = (M intersection N) intersection O

or , {2,4,6,8} intersection {2,4,8} ={2,4,8}

intersection {2,4,6,8 }

:. {2,4,8} ={2,4,8}

For f (x), evaluate the following:
a, f(0)
b. f(6)

Show all of your work

Answers

Answer:

a). f(0) = 4

b). f(6) = 8

Step-by-step explanation:

a). When x < 5, piecewise function to be considered,

f(x) = x + 4

Since, x = 0 is less than x = 5

f(0) = 0 + 4

f(0) = 4

b). When 5 ≤ x < 7,

Piecewise function to be considered,

f(x) = 8

Therefore, for x = 6,

f(6) = 8

Pls answer will give brainliest

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

[tex] \frac{7}{15} = 0.46666666... \\ \\ \frac{7}{15} = 0.4 \overline{6}[/tex]

The correct answer is C. 7/15 and 0.46.

Which side measures can form a triangle?
A
3 cm, 5 cm, 8 cm
B.
6 cm, 7 cm, 12 cm
9 cm, 9 cm, 19 cm
10 cm, 5 cm, 4 cm

Answers

Answer:

answer is 6 cm, 7cm, 12 cm

Step-by-step explanation:

the rule is that the sum of any two sides of a triangle must be greater than the 1 one side

Answer:

6 cm, 7 cm, 12 cm

Step-by-step explanation:

Describe the graph of y > mx, where m > 0?

Answers

Answer:

The graph of y > mx, where m > 0, consists of a dashed line and a shaded half-plane. The line has a positive slope and passes through the origin. The shadow of the half plane is above the line. m<0 means slope is negative

b>0 means the line will intersect the y axis above 0. Since the slope is positive, the graph is increasing.  So like stated above The boundary line is dashed, and everything above it is shaded.

Step-by-step explanation:

Hope this help you

Answer:

The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.

Step-by-step explanation:

What set of numbers will not create a triangle {13,22,34} {8,20,30} {10,14,23} {15,25,37}

Answers

Answer:

{8,20,30} won't make a triangle

Step-by-step explanation:

add the first two sides of the triangle, if it's greater it's a triangle if it's not it won't work

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