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3 years ago

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A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles, and two green marbles. What

is the probability of selecting a white marble from a jar of marbles?

2 answers:

geniusboy [140]3 years ago

6 0

Answer:

4/11

Step-by-step explanation:

There are 11 marbles in total, if 4 of them are white, then you have a 4/11 chance of getting a white marble.

irga5000 [103]3 years ago

6 0

4/11 because i took that class

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Find the probability of being dealt a full house. (Round your answer to six decimal places.)?

vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

$\dbinom42\dbinom43=24$

and the number of ways of drawing 3 aces and 2 2s is the same,

$\dbinom43\dbinom42=24$

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

$2\dbinom{13}2\dbinom42\dbinom43=3744$

The total number of hands that can be drawn is

$\dbinom{52}5=2,598,960$

Then the probability of getting a full house is

$\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}$

4 0

3 years ago

Write an equation for the line passing through the given pair of points. give the final answer in standard form (-4,-2) and (3,-

Andrew [12]

Answer:

y = -2/7x - 22/7

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-4, -2)

Point (3, -4)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{-4+2}{3+4}$
Add: $m=\frac{-2}{7}$

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

Define: y = -2/7x + b
Substitute: -4 = -2/7(3) + b
Multiply: -4 = -6/7 + b
Isolate <em>b</em>: -22/7 = b
Rewrite: b = -22/7

<u>Step 4: Write linear equation</u>

y = -2/7x - 22/7

7 0

3 years ago

Write the ratio as a fraction in simplest form.

OLEGan [10]

Answer:

Hello there! In normal form it would be 213/412 but in simplest form there is no fraction.

Step-by-step explanation:

There is no simplest form for this fraction

Hope this helps! :)

7 0

3 years ago

Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

5 0

3 years ago

the school stage is 8 3/4 feet wide and each chair is 1 5/12 feet wide. how many chairs will fit across the stage?

Sedaia [141]

Answer:

6 whole chairs

Step-by-step explanation:

(8 + (3/4)) / (1 + (5/12))

8.75 / 1.42

6.18 chairs

6 0

3 years ago