Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw ​(b) only 8​'s, ​'s and ​(c) no ​'s, ​'s and ​(d) exactly 2 or ​; ​(e) spades and ​hearts? ​(a) Number of ways to draw only ​'s ​= 0 ​(b) Number of ways to draw only ​'s, ​'s, and ​'s ​= 924 ​(c) Number of ways to draw no ​'s, ​'s, and ​'s ​= 3838380 ​(d) Number of ways to draw exactly 2 s or s ​= 3,801,028 ​(e) Number of ways to draw spades and hearts​ = 55770 Question is complete. Tap on the red indicators to see incorrect answers.

Answers

Answer 1

Complete question :

Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?

Answer:

0; 792 ; 100396 ; 30408224 ; 18643560 ;

Step-by-step explanation:

Number of cards in a deck = 52

Number of cards to be drawn = 7

Using combination:

nCr = n! ÷ (n-r)!r!

A.)

Number of 5's in a deck = 4

4C7 = 0

(B.)

only 8s, 9s, and 10s,

Number of 8, 9 and 10's = 4 *3 = 12

12C7 = 12! ÷ 5!7! = 792

(C)

no 8s, 9s, and 10s ;

Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560

(D)

exactly 2 jacks or kings,

Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44

8C2 * 44C5 = 28 * 1086008 = 30408224

(e) 5 spades and 2 hearts?

Number of spades = 13

Number of hearts = 13

13C5 * 13C2

1287 * 78 = 100396


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12h = 432

Step-by-step explanation:

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Answer:

D. 51

Step-by-step explanation:

the highest number- the lowest number

54-3=51

Which value makes the equation 3x / 6 equals 36 true

Answers

I’m confused what your saying but yes 3x6=36

Answer:

72

Step-by-step explanation:

3x/6=36

3x=36(6)

3x=216

x=216/3

x=72

The Wiggins Family ate dinner at a restaurant. The total cost of the meal was $85.60. The family left a 15% tip for the waiter. How much money was the total bill? (Make sure you type your answer using $ and the decimal)

Fast please

Answers

Answer:

$98.44

Step-by-step explanation:

You already know how much the actual dinner was so all you have to do is figure out how much 15% of the $85.60 is which is $12.84 meaning that they left a tip of $12.84 for the waiter. Then you would just add the cost of the dinner with the tip to get the total amount they spent. $85.60 + $12.84 = $98.44. So the total amount the Wiggins spent is $98.44

What kind of shape is this?
A. Pentagon
B. Quadrilateral
C. Triangle
D. Hexagon

Answers

Answer: A pentagon
Explanation: 5 sides

Please help me, i'm stuck on this one. thank you thank you!

A long year-end status report for work is 134 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.53 each. Give your answer to the nearest cent, only for the paper you use (partial reams are OK)

Answers

Answer:

The total cost of the copies will be $ 15.14.

Step-by-step explanation:

Given that a long year-end status report for work is 134 pages long, and I need to print 16 copies for a meeting next week, to determine how much is the paper going to cost for those reports if paper is sold in reams (500 pages) for $ 3.53 each the following calculation must be performed:

(134 x 16) / 500 = X

2,144 / 500 = X

4.288 = X

500 = 100

144 = X

144 x 100/500 = X

14,400 / 500 = X

28.8 = X

100 = 3.53

28.8 = X

28.8 x 3.53 / 100 = X

101.664 / 100 = X

1.016 = X

1.016 + (3.53 x 4) = X

1.016 + 14.12 = X

15,136 = X

Therefore, the total cost of the copies will be $ 15.14.

Find side length using trig

Answers

Answer:

85

Step-by-step explanation:

25 divided by tan(72) = 8.1


Please help! *no links* GIVING BRAINIEST

Answers

Answer:

6. -1

7. [tex]\pi \\[/tex]

8. 2.16

9. -7

10. [tex]\sqrt{144}[/tex]

11.-7.65091254...

12. 4

Step-by-step explanation:

10 divied by 1 half of 3

Answers

Answer: 6.66 repeated

Step-by-step explanation:

10 divided by 1.5 will give you 6.66 repeated

Answer:

1/3 divied by 10 =1/30

1/3 divided by 10= 0.333333

Step-by-step explanation:

decimal form is o.3333333

fraction form is 1/30

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Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m

Answers

Where’s the rest of the question?

original price $125 discount ? sale price $81.25

Answers

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

1. h(x) = xVx + 5x-2 + 1
Polynomial function: YES or NO
Standard form:
Degree:
Type:
Leading Coefficient:

Answers

12.4 isiisbfjfknsjsfhfhie

write the sum 3+3+3+3+3+3 using sigma notation ​

Answers

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

What is sigma notation?

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

To know more about sigma notation here:

https://brainly.com/question/16701078

#SPJ3

Twenty-four out of the forty pies at a bake sale are coconuts pies. What
percent of the pies are coconut?

Answers

Answer:

60%

Step-by-step explanation:

Total number of pies = 40

Number of coconut pies = 24

Percentage of coconut pies :

(Number of coconut pies / total number of pies) * 100%

(24 / 40) * 100%

0.6 * 100%

= 60%

60% of pies are coconut pies

Find the output, y, when the input, x, is 7.
y=__

Answers

Answer:

y=4

Step-by-step explanation:

Read off the graph. The corresponding y-coordinate when the x-coordinate is 7 is 4.

Answer:

4

Step-by-step explanation:

You look for the point on the teal line that has an x-coordinate of 7.

You could also go to the point (7,0), which is on the x-axis, and draw an imaginary vertical line and see which point hits it.

The choises are

4.2

4.25

4.5

4.8

Answers

Answer:

The answer would be 4.5

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

angle jkm and angle ihf :)

Step-by-step explanation:

the answer would be angle gfk and angle ihk!

What is the slope of (-16, 7) (-1, 17) and the slope of (-11, 15)
, (-11, 6)

Answers

Answer:

2/3 and 9

Step-by-step explanation:

A rectangular park is 70 meters wide and 100 meters long.
Give the length and width of another rectangular park that has the same perimeter but a smaller area.

Answers

9514 1404 393

Answer:

  60 m wide and 110 m long

Step-by-step explanation:

The more the shape deviates from a square, the smaller the area will be. The area can be reduced by making the park longer and narrower. The sum of length and width must remain the same for the perimeter to be unchanged.

Given park: 70 m × 100 m = 7000 m²

Smaller park: 60 m × 110 m = 6600 m² -- less area than 7000 m²


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

its d

Step-by-step explanation:

trust me

Answer:

MNP and ONK

Step-by-step explanation:

Vertical angles are angles which are vertical to each other and are parallel to each other.

Please help will give brainliest

Answers

Answer:

-8

Step-by-step explanation:

If you input x as -2 you get 8=0 so you have to add -8 for it to be true.

Answer:

0

Step-by-step explanation:

We can substitute x for 6 and solve the equation.

If using the method of completing the square to solve the quadratic equation x^+16x-5=0, which number would have to be added to "complete the square"? Find complete the Square Constant​

Answers

Step-by-step explanation:

can u tell wht is the power of x?


9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)

Answers

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor out 3.

3(x+2)

An airplane descends 2.8 miles to an elevation of 5.85 miles. Find the elevation of the plane before an airplane descends 2.2 miles to an elevation of 5.85 miles. Find the elevation of the plane before its descent.
descent.

Answers

Answer:

8.05 miles

Step-by-step explanation:

If it descended 2.2 miles to 5.85 miles then that means it was at 5.85 + 2.2 miles before its descent.

5.85 + 2.2 = 8.05

Answer:

8.05 miles

Step-by-step explanation:

5.85 + 2.2 = 8.05

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Use the diagram to fill in the blanks
x=
m∠=

Answers

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

The average annual cost of the first year of owning and caring for a cat is $1,500. A sample of 81 will be used. Based on past studies, the population standard deviation is assumed known with σ = $198. What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

Answers

Answer:

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Sample of 81

This means that [tex]n = 81[/tex]

What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

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

[tex]M = 1.96\frac{198}{\sqrt{81}}[/tex]

[tex]M = 43.12[/tex]

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Carefree offers two type of care packages. The food packages sell for 20$ and the game packages sell for 32$. In one day Carefree sold 25 Care packeges. the receipt for those packages totaled 602$ How many of each type of package were sold

Answers

Answer:

Number of game package = 16.5

Number of food package = 8.5

Step-by-step explanation:

LET :

Food package = a

Game package = b

a + b = 25 - - - (1)

20a + 32b = 602 - - - (2)

a = 25 - b

Put a = 25 - b into (2)

20(25 - b) + 32b = 602

500 - 20b + 32b = 602

12b = 102

b = 102 / 12

b = 8.5

a = 25 - b

a = 25 - 8.5

a = 16.5

Number of game package = 16.5

Number of food package = 8.5

The cost of an online video streaming service is $9.99 per
month. Write an equation that can be used to find d, the cost
in dollars for using the service for m months.

Answers

Answer:

$9.99*m=d

Step-by-step explanation:

Answer:

d = $9.99m

Good luck!

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Step-by-step explanation:

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If f(x) = (x – 2, then find f(-3).​

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if f(x) = x - 2, then f(-3) = -5
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