A company is offering 1 grand prize, 3 second place prizes and 25 third place prizes. Out of 500 total entries, what is the probability of getting a third place prize?

Answers

Answer 1

Answer:

1/20

Step-by-step explanation:

25 prizes out of 500=25/500=1/20


Related Questions

I need help with this answer can you plz help

Answers

The answer is 22. You add 90 degrees and 68 degrees together.

All triangles are 180 degrees so you’ll subtract 158 from 180.

5c+4 = 2 (c – 5)
What is the solution?

Answers

Answer:

0

Step-by-step explanation:

if I'm correct it's 0 because when you do all of the math that's what it came out to

c=-14/3
if that helps :)

Help!
Always, sometimes or never

The Capacity of a container will ALWAYS be less than the containers Volume

Answers

Answer:

The correct option is Sometimes.

Step-by-step explanation:

Volume refers to the amount of three-D space that a liquid, a solid or a gas, occupies. Some of the most commonly used units of volume are cubic meters, liters, millilitres and cubic centimetres.

Whereas, capacity refers to the capability to hold or absorb something. It is similar in theory to volume, but there are little dissimilarities.  

Consider the example below:

The nitrogen gas cistern has a capacity of 12 gallons. The gas in the experiment expanded to three times its original volume.

So, the capacity of a container can be or cannot be less than the volume.

Thus, the correct option is Sometimes.

Which expression is equivalent to 6 (a-3)?

Answers

Answer:

6a-18

Step-by-step explanation:

multiply by 6

6a-(6×3)

6a-18

=6a-18

How do you find compound probability

Answers

Answer:

Compound probability is equal to the probability of the first event multiplied by the probability of the second event.

Step-by-step explanation:

The first term of a geometric sequence is 1 and its common ratio is 6. What is the sixth term?

a. 31
b. 3176
c. 7776
d. 46,656

Answers

Answer:

c. 7776

Step-by-step explanation:

1, 6, 36, 216, 1296, 7776

Therefore, c. 7776

I hope this helped and have a good rest of your day!

You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches. If you place one scoop of ice cream on the cone and let the ice cream melt, will it spill over the cone?

Answers

Answer:

No, because the volume of the cone is greater than the volume of the ice cream scoop.

Step-by-step explanation:

To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.

The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:

V = (4/3) * pi * r^3

V = (4/3) * pi * 1^3

V = 4.1888 in3

Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):

V = (1/3) * pi * r^2 * h

V = (1/3) * pi * 1^2 * 5

V = 5.236 in3

As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.

Task 5—Polynomial Division and the Remainder Theorem



Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).



Part 1. Show all work using long division to divide your polynomial by the binomial.



Part 2. Show all work to evaluate f(a) using the function you created.



Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function

Answers

Answer:

See Explanation

Step-by-step explanation:

Let our quadratic polynomial function [tex]f(x)=x^2-7x+6[/tex]

Let our linear binomial in the form (x − a)=x-1

Part 1: We use long division to divide the polynomial by the binomial.

[tex]\left|\begin{array}{c|c}&x-6\\-----&-----\\x-1&x^2-7x+6\\Subtract&-(x^2-x)\\&------\\&-6x+6\\Subtract&-6x+6\\&------\\&0\end{array}\right|[/tex]

Therefore:[tex]\dfrac{x^2-7x+6}{x-1}=x-6[/tex]

Part 2: In our chosen linear monomial x-1, a=1

[tex]f(a)=f(1)\\f(1)=1^2-7(1)+6=1-7+6=0\\f(a)=0[/tex]

Part 3:

To determine whether a linear binomial is a factor of a polynomial function using the remainder theorem

Given a linear binomial x-aSubstitute a into the polynomial function f(x)If the value of f(a)=0, the linear binomial is a factor. However, if f(a) is not equal to zero, then by the remainder theorem, x-a is not a factor of f(x)

Which of the following statements is equivalent to P(z < −2.1)? P(z > –2.1) 1–P(z < 2.1) P(z < 2.1) 1–P(z > 2.1)

Answers

Answer:

It's b

Step-by-step explanation:

Just answered it

The given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1). Option B is correct.

What is the Z -a score?

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard deviation

Here,
P(z < −2.1)
By the property of the Z score,

P(z < −2.1) = 1 – P(z < 2.1)

Thus, the given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1).

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ2

Sarah picks two hats at random from 5 bill caps and 3 beanies. What is the probability she picks a BILL cap, DOES NOT REPLACE IT, then chooses ANOTHER BILL cap?

Answers

Answer:

The probability is 5/14

Step-by-step explanation:

Here, we are to calculate/estimate a probability

Firstly , we need to know the total number of caps

we have 5 bill caps and 3 beanies.

Total number of caps = 5 + 3 = 8 caps

The probability of picking the first bill cap is 5/8

Now after removing this and not replacing, we have 4 bill caps left and 3 beanies

Total cap remaining is 7 caps while the probability of picking a bill cap now is 4/7

The combined probability is thus 5/8 * 4/7 = 5/14

HELPPP ASAP
which point represents the ordered pair ​

Answers

Answer:

point S

Step-by-step explanation:

mooo! hope this helps

Please help with this

Answers

Answer: She sold 5 shirts

Step-by-step explanation: 100 + 12x6 + 5t + 7x4 + 5x5 - 8x5

you get 100 + 72 + 28 + 25 - 45 + 5t

You add all that and subtract but not the 5t and you get 180 then you can do 205-180 and get 25 then you you find what times 5 equals 25 and then you get 5 t shirts sold

Please help me in this question.I need it right now!!!

Answers

Answer:

X=102 y=288 =390

Step-by-step explanation:

X=50+32=82=180-82=102

Y= 50+32=82=360-82=288

Total answer is =390

2. Evaluate f(3) for f(x) = 2x - 9

Answers

Answer:

-3

Step-by-step explanation:

[tex]f(x) = 2x - 9[/tex]

[tex]f(3) = 2(3) - 9\\f(3) = 6 - 9\\f(3) = -3[/tex]

Se tiene un lote baldío de forma triangular bardeado. La barda de enfrente tiene una medida de 4 m,las otras dos bardas no es posible medirlas directamente pues hay mucha basura. Sin embargo,se sabe que el ángulo que está frente a la barda frontal mide 34° y otro de sus ángulos mide 64°. Se quiere calcular la medida de la barda que está enfrente del ángulo de 64°. Explica por qué no es posible resolver el problema aplicando sólo las razones trigonométricas o el teorema de Pitágoras

Answers

Answer:

a) La medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m. b) El triángulo en cuestión no es un triángulo rectángulo, es decir, ninguno de sus ángulos internos es recto (90 grados sexagesimales). En estos casos, no se puede aplicar el Teorema de Pitágoras o la simple utilización de las razones trigonométricas; se aplican, en cambio, leyes para la resolución de triángulos oblicuángulos (o triángulos no rectángulos).

Step-by-step explanation:

Este problema no se puede resolver "aplicando sólo las razones trigonométricas o el teorema de Pitágoras" porque es sólo aplicable a triángulos rectos, es decir, uno de los ángulos del triángulo es recto o igual a 90 grados sexagesimales. Los dos restantes triángulos suman 90 grados sexagesimales, o se dice, son complementarios.

La resolución de triángulos que no son rectos (conocida en algunos textos como solución de problemas de triángulos oblicuángulos) pueden resolverse usando, la ley de los senos (o teorema del seno), ley de los cosenos y la ley de las tangentes. El caso propuesto en la pregunta se ajusta a la ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)} = \frac{c}{\sin(\gamma)}[/tex]

Es decir, la razón entre el lado de un triángulo y el seno del ángulo que tiene frente a él es igual para todos los lados y ángulos del triángulo.

El triángulo de la pregunta no tiene un ángulo recto

La suma de los ángulos internos de un triángulo es de 180 grados sexagesimales:

[tex] \\ \alpha + \beta + \gamma = 180^{\circ}[/tex]

En la pregunta tenemos que la suma de los dos ángulos propuestos es:

[tex] \\ 34^{\circ} + 64^{\circ} + \gamma = 180^{\circ}[/tex]

[tex] \\ 98^{\circ} + \gamma = 180^{\circ}[/tex]

Restando 98 grados sexagesimales a cada lado de la igualdad:

[tex] \\ 98^{\circ} - 98^{\circ} + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ 0 + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ \gamma = 82^{\circ}[/tex]

Con lo que se deduce que no hay ningún ángulo recto en el triángulo propuesto y no se podría usar el Teorema de Pitágoras o simples razones trigonométricas para resolverlo.

Resolución del lado del triángulo

De la pregunta tenemos:

La barda de enfrente tiene una medida de 4m. El ángulo que está enfrente de esta barda (barda frontal) es de 34°. No se sabe el valor del lado que está enfrente del ángulo de 64°, pero se puede calcular usando la Ley de los senos.

Digamos que:

[tex] \\ a = 4m, \alpha = 34^{\circ}[/tex]

[tex] \\ b = x, \beta = 64^{\circ}[/tex]

Entonces, aplicando la Ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)}[/tex]

Multiplicando a cada lado de la igualdad por [tex] \\ \sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = \frac{b}{\sin(\beta)}*\sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*\frac{\sin(\beta)}{\sin(\beta)}[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*1[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b[/tex]

Sustituyendo cada valor en la expresión anterior:

[tex] \\ b = \frac{a}{\sin(\alpha)}*\sin(\beta)[/tex]

[tex] \\ b = \frac{4m}{\sin(34^{\circ})}*\sin(64^{\circ})[/tex]

[tex] \\ b = 4m*\frac{0.8988}{0.5592}[/tex]

[tex] \\ b = 6.4292m[/tex]

En palabras, la medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m.

El lado c puede obtenerse de manera similar considerando que [tex] \\ \gamma = 82^{\circ}[/tex].

what is the square root of 144?

Answers

Answer:

12

Step-by-step explanation:

12 times 12 is 144

Hope this helps

Solve the following system by graphing:

Answers

Answer:

Option B (-3,-8)

Step-by-step explanation:

Use a graphing tool to graph the lines [tex]-4x+3y=-12[/tex] and [tex]-2x+3y=-18[/tex].

When graphed, the lines pass at the point (-3, -8).

Graph B matches this, so Option B is the answer.

Quando colocamos roupas molhadas no varal em dias quentes percebemos que as roupas depois de um tempo ficam secas. Qual o estado físico que se encontra nas roupas molhadas? e nas roupas secas?

Answers

Answer:

Liquid water to vapor water

Step-by-step explanation:

This problem is about our wet clothe, when we put it under the Sun to dry.

Notice that the clothe is wet at the beginning, but after a certain time, it gets dry. This phenomenon is beacuse the change of the state of the water inside the clothe.

You see, at the beginning, the water is in liquid state making the wet effect, then that water transforms into vapor, makign the dry effect.

Therefore, the answer is "liquid water to vapor water", that's the change.

HELP PLEASE thank you!!

Answers

Answer:

x = 180 -117

x = 63°

y = 90 - 63

y = 27°

Step-by-step explanation:

Which of the following represents the factorization of the trinomial below?
-2x3-14x2 - 12x
A. -2(x2 + 1)(x+6)
B. -202 + 1)(x-6)
C. -2x(x + 1)(x+6)
a
D. -2x(x + 1)(x-6)

Answers

Answer:

-2(x + 1)(x + 6)  

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  -2x^3-14x^2 - 12x

Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.  

This quotient is also easily factored:

-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6)  =  -2(x + 1)(x + 6)  

A net of a triangular prism is shown below. 42 8 ft 3 ft 5 f 5 ft What is the surface area, in square feet, of the triangular prism? A 44 B 96 C 108 D 120

Answers

Answer:

(C)108 square feet

Step-by-step explanation:

A net of triangular prism consists of two triangular and three rectangular faces.

The net attached is that of a right triangular prism.

Area of One Triangular Face =0.5 X  3 X 4=6 square feet

The rectangular faces are of dimension 4 ft by 8 ft, 5ft by 8ft and 3ft by 8 ft respectively.

Therefore:

Surface Area of the net =2(6)+(4X8)+(5X8)+(3X8)

=12+32+40+24

=108 square feet

The correct answer is C.

Answer:

108

this is correct, trust me

The value of 1 tenth is less the value of 3 tenth

Answers

Answer:

True, 3 tenths is closer to one whole

Step-by-step explanation:

                              ↓                                                                 ↓

If you multiply any number by zero, your answer will be

that same number.

impossible.

zero.

negative.




Answers

Answer:

zero

Step-by-step explanation:

for example,

2 x 0 = 0

124 x 0 = 0

its some number zero times so when you multiply by zero, its zero

i need to find the value of x

Answers

Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = [tex]\frac{168}{7}[/tex]

x = 24

Therefore, value of x = 24

Flora made 4 withdrawals of $80 each from her bank account. What was the overall change
in her account?
The total change in her account is $

Answers

Answer:

320$

Step-by-step explanation:

Answer:

Step-by-step explanation:

80 divided by 4 should be 20? sorry if i am wrong

What’s the answer to this

Answers

Answer:

C is the correct answer. F(x) = -[tex]x^{3}[/tex]

A metal shop is cutting a rectangular piece of sheet metal with a width of 60 inches and a length of 144 inches. The shaded parts of the diagram represent two rectangular sections, A and B, that will be cut and removed.

Part A :What are the dimensions of section B?​
Part B:What will be the area, in square inches, of the piece of sheet metal after both sections are cut and removed?



Answers

Answer:

Dimensions of section B = 36 inches, 48 inches

Area of the piece of sheet metal after both sections are cut and removed  = 6336 square inches

Step-by-step explanation:

Given: Width and length of a rectangular piece of sheet metal are 60 inches and 44 inches.

To find: dimensions of section B, the area of the piece of sheet metal after both sections are cut and removed

Solution:

Length of rectangle B = TR = SR - ST = PQ - ST (As SR = PQ being opposite sides of rectangle)

Length of rectangle B = PQ - ST = 60  - 24 = 36 inches

Breadth of rectangle B = UR = QR - QV - VT - TU

Here, QR = PS = 144 inches (opposite sides of rectangle PQRS are equal )

QV = 36 inches

VT = WX = 24 inches ( opposite sides of rectangle WVTX are equal)

TU = 36 inches

So,

Breadth of rectangle B = 144 - 36 - 24 - 36 = 48 inches

Area of rectangle B = length × breadth = 36 × 48 = 1728 square inches

Area of rectangle WVTX = length × breadth = 24 × 24 = 576 square inches

Area of rectangle PQRS = PQ × PS = 60 × 144 = 8640 square inches

Area of the piece of sheet metal after both sections are cut and removed =8640 - ( 1728 + 576 ) = 8640 - 2304 = 6336 square inches

a right triangle has the coordinates a(6,0), b(0,0) and c(0,8). what is the perimeter of the triangle

Answers

Answer:

28

Step-by-step explanation:

sry if I'm wrong although I used calculator

Please help! I've been on this question for more than an hour...
You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?

Simplify your answer and write it as a fraction or whole number.

Answers

1/6 and you got the comment why

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

A.366
B.318
C.342
D.294

Answers

Answer:

318 mm2

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

Hope this answer can help you. Have a nice day!

Answer:

[tex]318mm^{2}[/tex]

You can break the shape into pieces you can work with, and then add up the areas individually.

Other Questions
A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of fertilizer C provides the optimal nutrients for a plant. Commercial brand X contains equal parts of fertilizer B and fertilizer C. Commercial brand Y contains one part of fertilizer A and two parts of fertilizer B. Commercial brand Z contains two parts of fertilizer A, five parts of fertilizer B, and two parts of fertilizer C. How much of each fertilizer brand is needed to obtain the desired mixture? (If the system is dependent enter a for brand X and enter brand Y and brand Z in terms of a.) For 9x + 25 = 88, Deena wrote a situation I bought some shirts at the store for $9 each and received a $25 discount. My total was $88. How many shirts did I buy?c. How could you rewrite the situation to make it fit the equation? Which elements occupy the same group in the periodic table?O A. Elements that share the same rowO B. Elements that share the same inside electronsO C. Elements that share the same periodO D. Elements that share the same column 29. What hormone is considered the"female hormone" ? What hormone isconsidered the "male hormone"? A prism has an isosceles triangle bases with leg lengths of 5 inches 5 in and 8 inches and a height of 3 in the distance between the bases is 12 in find the surface area show your work 1 | Relie les deux parties des phrases ou les questions aux rponses.a) Pour aller la Poste, je descends b) Quel tram on prendc) Comment vous allez Paris ?d) O sont tes parents ?e) Vous attendez Lucas ?f) Tu m'attends devant le cin 15 h ?g) Je monte dans le train maintenant ?h) Je me dplace1) Oui, il est toujours en retar.d2) pour aller en ville ?3) Oui, il part dans deux minutes. quel arrt ? l'aroport, ils attendent ma grand-mre Non, devant le collge je prfre. pied. Nous prenons l'avion. What percent is 60 is 42 Determine if line AB is tangent to the circle. in 0.95 in which place is in the 5 If you take a number, times by 3 then subtract 6. You get the same as if you took the number, times by 7 then subtract 2. What is the number? Target pays $13 per pair of sunglasses and uses 30% markup rate. What is targets selling price for the sunglasses? why are zebras and donkeys considered different species Express each equation in the form y = mx + b: 5x + y 3 = 0 PLEASE HELPYou deposit $400 in an account that pays 5% annual interest How long will it take for the balance to double for each frequency of compounding? a. annually b. quarterly c. daily d. continuously I NEED AN ANSWER for ALL 4 which of the following is one principal written in both the magna Carta and the English bill of rights solve the following expression: 4 (r - 8 ) when r + 1082726 Identify the graph of (x+3)^2 - 4y for T(-7,2) and write and equation of the translated or rotated graph in general form. Please help!! Select all the triangles that have an area of 8 square units in the picture. Explain how you know please? How can photosynthesis be related to cellular respiration?They both have the same reactants (need the same things).What's produced (made) by one is needed (the reactants) for the other.They both produce the same products. Help me please will brainlist