One hundred tickets, numbered 1, 2, 3, …, 100, are sold to 100 people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if a) the person holding ticket 47 wins one of the prizes? b) the people holding tickets 19 and 47 both win prizes?

Answers

Answer 1

Solution :

It is given that four different prizes were awarded. So,

a). 4 ways for person 47 to win a prize

     99 ways to give out the 2nd prize

     98 ways to give the 3rd prize

      97 ways to give the last prize

     ∴  P(99,3) = 99 x 98 x 97

b). 1 way to give person 47 their prize

    1 way to give person 19 their prize

    98 ways to give out the 3rd prize

    97 ways to give out the last prize

    So, P(98,2) = 98 x 97


Related Questions

Please help meee! I will give brainleiest!

Answers

Answer:

64? I'm not sure but because if 1= girls (8 girls) and boys is 8 times more you do 8x8 I think sorry if I'm wrong

Answer:

There are 64 boys

Step-by-step explanation:

If there are 8 girls it would be 8*1

so you would have to multiply 8 by the ratio of boys which is 8*8

which equals 64 boys to 8 girls (8:1)

Your welcome

.
Four different cellular phone plans are shown below.
• Plan 1 charges $0.35 per minute with no monthly fee.
Plan 2 charges a monthly fee of $10.00 plus $0.25 per minute.
• Plan 3 charges a monthly fee of $59.95 with 200 free minutes.
Plan 4 charges a monthly fee of $15.00 plus $0.20 per minute.
Which plan is the least expensive for 200 minutes of cellular phone use?
.
A. Plan 4
B. Plan 3
C. Plan 1
O
D. Plan 2

Answers

A paln1 charges $0.35 per minute with no monthly fee (not sure )

How much water can a sponge filter in one minute?


2 quarts


3 quarts


4 quarts


1 quart

Answers

Answer:

It would be 4 quarts.

Step-by-step explanation:

The answer is 2 quarts

How do you expand (4x+2)2

Answers

Answer:

=8x+4

Step-by-step explanation:

=2(4x+2)

a=2,b=4x,c=2

=2 x 4x + 2 x 2

Simplify- 2 x 4x + 2 x 2: 8x + 4

If c ⊥ b and a || c, what is m∠2?

Answers

Answer:

A) 90°

Step-by-step explanation:

if lines b and c are perpendicular then all 8 angles measure 90 degrees

Oatmeal is packaged in a right circular cylindrical container that has a radius of 7 centimeters and a height of 16 centimeters.



What is the surface area of this container in terms of pi?

a. 176
b. 254
c. 322
d. 440

Answers

Answer:

c. 322

Step-by-step explanation:

Surface area of cylinder = 2πr² + 2πrh.

SA in terms of π = π(2r² + 2rh) →

π(2(7)² + 2(7)(16)) →

π(2(49) + 2(112)) → π(98 + 224) → π(322)

Which sign makes the statement true?

1.78 ? 0.88

< or >
????

Answers

Answer:

1.78 > 0.88

Because you would always put the sign on the bigger number.

Answer:

1.78 > 0.88

Step-by-step explanation:

It is > hope this helped.

Chester plays football at East Washington
Junior High School. In one quarter of
Friday's game, Chester ran +15 yards,
-23 yards, +34 yards, +17 yards, and
-28 yards. How many yards is Chester
from his starting point?

Answers

Answer:

15 yards

Step-by-step explanation:

hope this helps ❤️

The Consumer Reports National Research Center conducted a telephone survey of 2000 adults to learn about the major economic concerns for the future (Consumer Reports, January 2009). The survey results showed that 1760 of the respondents think the future health of Social Security is a major economic concern. a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern (to 2 decimals)

Answers

Answer:

The point estimate is 0.88

Step-by-step explanation:

Given

[tex]n = 2000[/tex] -- sample size

[tex]x = 1760[/tex] -- adults who think future health of social security is a major economic concerm

Required

Determine the point estimate

This is calculated as:

[tex]\hat p= \frac{x}{n}[/tex]

[tex]\hat p= \frac{1760}{2000}[/tex]

[tex]\hat p = 0.88[/tex]

The point estimate is 0.88

Lacey opened a savings account and deposited $100.00. The
account earns 6% interest, compounded monthly. If she wants
to use the money to buy a new bicycle in 2 years, how much
will she be able to spend on the bike?
Round your answer to the nearest cent.

Answers

Answer:

$244.00

Step-by-step explanation:

- gave bank $100

- +6% of $100 per month

- 6% of $100 = $6 (earns $6 per month)

- twelve months in a year, so 12 x $6 = $72 per year

- $100 + $72 + $72 = $244

If Lacey wants to utilize her money to purchase a new bicycle in two years, she will spend $244 on the bike.

If a test is worth 90 points and I got 12/15 questions right then what would my grade be?

Answers

Answer: 80

Step-by-step explanation:

Solve the equation 6x –3y = 9 for y

Answers

Answer:

y= -3

Step-by-step explanation:

Substitute x as 0

6(0)-3y=9

-3y=9

y= -3

I need help with this 2 questions can someone help me pls I need it !!!!!

Answers

Answer:

8. center: (-7,5)

radius: 9

Step-by-step explanation:

8. to find the center, you need to get the equation in the form of (x-h)^2+(y-k)^2=r^2

you can do this by completing the square:

x^2+y^2+14x-10y-7=0

x^2+14x+49+y^2-10y+25=7+49+25

(x+7)^2+(y-5)^2=81

so, the center is (-7,5) and the radius is 9

What is the constant of proportionality in the table below?

Answers

Answer:

12

Step-by-step explanation:

y = kx where 'k' is the constant of proportionality

24 = 2 x 12

36 = 3 x 12

48 = 4 x 12

60 = 5 x 12

can someone please help me find the slope on khan academy? and please provide an explanation if possible

Answers

Answer: 7/4

Step-by-step explanation: To find the slope of a line, pick any two integer points, in this scenario the only two are (3,4) and (-1,-3). The slope is the rise over run, so think about it. To get from (-1,-3) to )3,4) you need to rise 7 units (difference in y coordinates) and from there you need to run 4 units, so it is 7/4. Keep in mind that rising up is positive for y and running to the right is positive for x.

Answer:

[tex]\frac{7}{4}x[/tex]

Step-by-step explanation:

How do you find slope on a graph? The slope is "rise/run" where "rise" is how much y spaces are moved to the next point and "run" is the how much spaces are moved to the next x point.

Step One: In this case, the point moves up 7 spaces to the next point, so that's the "rise" and then it moves 4 spaces to the right to the next point, so that's the "run"

Step Two: When we put it together, it is 7/4x. The x is just an indication that this is slope, and you don't have to worry about it until you learn how to plug it in.

Please see picture. Which statement must be true?

Answers

Choose C.

x^2 = a/b must be true.

Write in standard form
531800000

Answers

Answer:

5.318 * 10 to power of 8

Step-by-step explanation:

Answer:

5.318 × [tex]10^{8}[/tex]

Step-by-step explanation:

okay last one . help

Answers

The answer should be option C!
Answer : The answer is Letter C

Step by step explanation is look closely

Arrange the given polynomial in descending order.
9x? + 9x +3+2x

Answers

20x+3
This shouldddd be the answer sorry if I’m wrong, but if you group all the x variables together they add up to twenty, then you just add “+3” being that it has no x and therefore must be put in some form of separate group!

let R be the region bounded by the functions f(x)=-x^2 and g(x)=-9 as shown in the diagram below. find the exact area of the region R. write your answer in the simplest form. zoom in photo

Answers

What do you mean need more information

If f(x) - 2x2 +5./(x-2), complete the following statement:
The domain for f(x) is all real numbers
than__or equal to 2.

Answers

Answer: Greater than or equal to 2.

Step-by-step explanation:

Given

Function is  [tex]f(x)=2x^2+5\sqrt{x-2}[/tex]

The entity inside a square root is always positive i.e. greater than equal to zero

[tex]\therefore \ x-2\geq 0\\\Rightarrow x\geq2[/tex]

So, the domain of the function is all real numbers greater than or equal to 2.

please answer the question

Answers

Answer:

I think it is 25÷8

Step-by-step explanation:

this is because the circumference is found by π multiplied by the diameter. So the inverse would be the circumference divided by the diameter.

PLEASE HELP I WILL GIVE BRAINLIEST IF YOU DO BOTH
please give me a real answer

Answers

Answer:

Q2. angle 5 +angle 6=90°

angle 5+ 6°=90°

angle 5=90°-6°

angle 5=84°

Q.3 angle 8+angle 9=90°

angle 8 + 11°=90°

angle 8=90°-11°

angle 8=79°

Please can someone help me?

Answers

Answer:

weight of a water=0.5

spherical ball is filled With water=0.95.

so dear for

22\7*0.5*0.95=1.49

An isosceles triangle has a base of 20cm and legs measuring 36cm. How long are the legs of a similar triangle with a base measuring 50cm?

Answers

Answer:

90 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, then

50 ÷ 20 = 2.5

The legs of the similar triangle are 2.5 times the original legs, that is

legs of similar triangle = 2.5 × 36 cm = 90 cm

Can anyone help with what the formula to calculate the volume of a Rhombohedron (3D Rhombus) is? Could you also give me an example of how to do it please?

Answers

Answer: the formula is : β = 180° - α

A = 6 * a² * sin(α)

V = a³ * (1-cos(α)) * √1+2cos(α)

Sorry, i don't know any examples .

Step-by-step explanation:

I NEED HELP!! with this homework please. For B,C,and D, if you know the answer please tell me I’m kinda confused.


I’ll make you a brainlist for the reward:)

Answers

Answer:

Step-by-step explanation:

       Location    Reflect over x              Reflect over y

B      -0.75 ,1         -0.75 ,-1                           +0.75 ,1

C     1.75 ,-1          1.75,1                                 -1.75,+1

D      -2,-2           -2,+2                                  +2 ,-2

Which of the following is true?

Answers

Answer:

option B should be correct

Please help me finish this i will give brainlest :) to the first person.

Answers

Answer: 8

Step-by-step explanation:

64 ÷[4* 27 (-5^2

-5 times -5 =25

27-25=2

4*2=8

64 divided by 8= 8

8 is your answer

math help please now

Answers

Answer:

1. Yes

2. Yes

3. No

4. Yes

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

For 1, 76+14 = 90.

Etc., you can do the math, I believe you are smarter than addition.

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