In this activity, you will use proportional relationships to predict how many times an event should occur for a certain number of trials. A standard deck of playing cards has four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards, from ace to king. Use this information to answer the following questions. Part A
What is the ratio of threes to the total number of cards in the deck?

part b Let x represent the number of times you’d expect a three to be drawn out of a total of 260 draws. Using the ratio from part A, write a proportion you can use to solve for x.

Part C
Solve the proportion you found in part B to determine the number of times you should expect a three to be drawn out of a total of 260 draws.

Part D
Is the answer that you got in part C an estimate or an exact number? Why?

Part E
How many times would a face card (jack, queen, or king) likely be drawn from the deck in 260 draws?

Part F
How many times would you expect a heart to be drawn in 260 draws from the deck?

Part G
Should you be surprised if a face card is drawn more times than a heart in 260 random draws? Why?

x-3y=4

step-by-step e

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.

answer: hello!

the answer to this problem is, d. (7.3)(8.52)=62.19