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

Determine the measure of arc BC​

Answers

Answer:

arc BC = 132°

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc BC = ∠ BOC = 132°

For 1-4, a line has the points (-2,-9),
(3, 1), and (6, 7). Find the polnts for the
translation described.
1. 6 units to the left
2. 3 units down
3. 5 units to the right
4 2 units up

Answers

Answer:

3 units down

Step-by-step explanation:

got it right on edg

Does anyone know number 1 and 2 if so pls help!

Answers

Answer:

364×180=65,520 baskets

Step-by-step explanation:

since its a leap year(4days as shown in the document)

2nd question:

365×180=65,700 baskets

since its not a leap year

if u dont know leap years end with an even number which is 364 and non leap years end with odd number which is 365.

-0.5f - 5 < -1

help please asap!! ​

Answers

Step-by-step explanation:

-.5f -5 < -1

-.5f < 4

f > -8

hope this helps

PLEASE HELP I DON'T UNDERSTAND!!!!!! I WILL MARK!!!!!!!!!!!!!!

Answers

1.4, im not sure though i just divided the two numbers sorry! hope it helps <3

i need help on these 2 questions

Answers

The answer is A. 5x+25 and 11x-11. I already did the test

Find x.
30
20
Need help with this question asap

Answers

Cos=adjacent/hypotenuse
Cos30=x/20
x=cos30 *20

Sorry I don’t have a calculator right now

Answer:

x = 10[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{3}[/tex]

Expert plsss help me and explain how to do this plsss

Answers

Formula for a cone's volume: V=1/3hπr²

So...

1) V = 1/3*10*π*5^2

(We got the 5 from the diameter and divided it by 2 to get the radius).

Answer: I got 261.799 m^3.

What number is equal to (1/6)^4?

Answers

Answer:

1/5

Step-by-step explanation:

i searched it up yikessssssss

The value of the given term is 1296.

What is a fraction?

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given the number as [tex]\dfrac{1}{6} ^{-4}[/tex]

Here we can see that the power is negative so we can just reciprocal the term.

Then we get;

6^4

this means 6 x6x6x6 = 1296

The correct value is 1296.

Learn more about fraction;

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can someone please help me with this question?? (no links!!!)

Answers

Answer:

960

Step-by-step explanation:

it says use 3 for pi, so you plug the values into given equation

V = 3·(4)²·20

r is 4 because it is half of 8.

Then multiply

3·16·20 = 48·20 = 960

Answer:

960 cm

Step-by-step explanation:

8/2 = 4 (radius)

3 (since we're using 3 for pi) * 4^2 * 20

3 * 16 * 20

48 * 20

= 960 cm

I hope this helps heh :)

e. 15 = 1.5t t=? Solve please

Answers

Answer:

E Z

10

Step-by-step explanation:

15 = 1.5t

so t = 15/1.5

      = 10

Answer: t = 10

1. Switch sides

- 1.5t = 15

2. Multiply both sides by 10

- 15t = 150

3. Divide both sides by 15

4. Simplify

t = 10

According to exponent rules, when we multiply the same base we _____ the exponents

Answers

Answer:

Add

Step-by-step explanation:

When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: add \: }}}}}}[/tex]

According to exponent rules, when we multiply the same base we Add the exponents.

Define: stratified random sample a) population is divided into similar groups and a SRS is chosen from each group. b) gives each member of the population a known chance to be selected. c) people who choose themselves for a sample by responding to a general appeal. d) the explanatory variable(s) in an experiment. e) directly holding extraneous factors constant. f) every possible sample of a given size has the same chance to be selected. g) using extraneous factors to create similar groups. h) successively smaller groups are selected within the population in stages. i) choosing the individuals easiest to reach.

Answers

Answer:

d) population is divided into similar groups and a SRS is chosen from each group.

Step-by-step explanation:

Stratified random sampling

can be regarded as "proportional random sampling" and is method of sampling which entails division of a population to more simpler sub- groups, this sub- groups are regarded as " strata". This strata are been formed on the basis of shared attributes of the members. This attribute could be educational attainment as well as income. It should be noted that stratified random sample is population is divided into similar groups and a SRS is chosen from each group.

A coach ordered 20 practice jerseys for her soccer team. Six of the jerseys she ordered arrived late. What decimal represents the fraction of jerseys that arrived late?

Answers

Answer: 0.3

Step-by-step explanation:

There are 20 practice jerseys in total.

Six of those 20 jerseys arrived late.

The fraction of jerseys that arrived late is therefore:

= 6 / 20 jerseys

Convert them to decimal form by dividing the numerator with the denominator:

= 6 ÷ 20

= 0.3

Hello!
What's Eri's teddys name?

Answers

Answer:

Werid I don’t know

Step-by-step explanation:

PLEASE HELP!!1!!1!!11!!1!! I WILL MARK BRAINLIEST!!!!!!!!!111!111!!1!!11!

Answers

Answer:

s

Step-by-step explanation:

Answer:

fourth option) 5/8 lb

mary says the pen for her horse is an acute right triangle. Is this possible?

Answers

we know that
An acute triangle is a triangle with all three angles acute (less than 90 degree ).

An obtuse triangle is one with one obtuse angle (greater than 90 degree) and two acute angles.

A right triangle is one with one right angle (angle equal to 90 degree ) and two acute angles.

therefore

The answer is

Is not possible

Question is in picture

Answers

200 :)
Because I’m guessing that the house is 90m and the store is 110m so add that and it’s 200
Hope this helps

Write an equation of the line perpendicular to the given line that contains P.

Answers

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

3 times greater

Step-by-step explanation:

6.7 x 10 to the 6 = 6700000

2x 10 to the 7 = 20000000

20000000/6700000 = 2.98507462687

Rounded - 3

1. An exponential function is shown below.
f (x)= -2(2)
Which key attribute does the function not exhibit?

Answers

Sorry I need points lol

This question seems extremely odd to me. I don't really even understand what's being asked.

As far as exponential functions go, it's missing an exponent for one. The dependent variable is missing. This essentially saying f(x) = -4 or y = -4. Which is fine, but is definitely not an exponential function and in a very odd and incomplete form to begin with.

What is the slide e of the line shown below?

Answers

Answer:

13/6

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points

slope = (-7-6)/(-5-1) = -13/-6 = 13/6

What is the midpoint of line segment QU given Q(6, 3) and P(-6, -1).

Answers

Answer: Use cylindrical coordinates. Evaluate z dv, where E is enclosed by ... A: Solution:Given∫c3y sinx dx+5xdyFormula:∫cPdx+Qdy=∬ ∂Q∂x-∂P∂y dA ... z) if the midpoint of the line segment joining the two points (x, y, z) and (-6, -5, -4). ... A: A cone is a 3-D shape with a circular base and tapers smoothly over to an

Step-by-step explanation:

8 ft
Find the area of the figure.

Answers

Answer:

Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7. Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 98 and 112?

Answers

Answer:

Answer:

68%

Step-by-step explanation:

The percentage of males in the town who have systolic blood pressure between 98 and 112 is 68%.

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7.

68 percent of the data is within one standard deviation of the mean, i.e. between μ - σ and μ + σ.

μ - σ = 105 - 7 = 98

μ + σ = 105 + 7 = 112

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Solve the equation for a.

3a+13.61=−9.43

Answers

Answer: a = -7.68

STEPS:

- Subtract 13.61 from both sides

- Simplify

- Divide both sides by 3

The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use.




3 inch radius and 4 inch height


4 inch radius and 4 inch height


9 inch radius and 9 inch height


4 inch diameter and 9 inch height


6 inch diameter and 9 inch height


9 inch diameter and 4 inch height

Answers

Answer:A and b

Step-by-step explanation:

The dimensions of cylinders that have a volume under 220 cubic inches per serving are:

3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
We can use the formula V = πr²h to find the volume of each cylinder.

For a cylinder with a 3-inch radius and 4-inch height:

V = π(3)²(4) ≈ 113.1 cubic inches

For a cylinder with a 4-inch radius and 4-inch height:

V = π(4)²(4) ≈ 200.96 cubic inches

For a cylinder with a 9-inch radius and 9-inch height:

V = π(9)²(9) ≈ 2289.0 cubic inches

For a cylinder with a 4-inch diameter and 9-inch height (radius is 2 inches):

V = π(2)²(9) ≈ 113.04 cubic inches

For a cylinder with a 6-inch diameter and 9-inch height (radius is 3 inches):

V = π(3)²(9) ≈ 254.5 cubic inches

For a cylinder with a 9-inch diameter and 4-inch height (radius is 4.5 inches):

V = π(4.5)²(4) ≈ 254.5 cubic inches

Therefore, the dimensions of cylinders that have a volume under 220 cubic inches per serving are:

3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height

Learn more about Volume here:
https://brainly.com/question/1578538

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if you made 180$ every week, how much would you have in a year, it's a simple one and it's not for school I make 40 dollars a day with my dad at work ​

Answers

Answer:

About $9360

Step-by-step explanation:

There's about 52 weeks in one year, so if you multiply 52 by your weekly gain, your annual income will be approximately $9360.

I hope this is helpful ^^

Find the value of x. Please help I will mark brainliest!!!!

Answers

Answer:

x = 2

Step-by-step explanation:

The triangle is reflected across the circle meaning it should be the same on both sides.

Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands
on an even number?
Simplify your fraction.
O / 을
0 O
3

Answers

Answer:

cubes have 6 numbers

3 odd, 3 even

Step-by-step explanation:

probablity=desiredoutcome/totalpossibleoutcomes

there are 6 total desired outcomes (3 on each cube)

total possible, there are 6*6 or 36 total possible outcomes

so 6/36 or 1/6 chance

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