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3 years ago

If you roll a six-sided dice, what is the probability of rolling an odd number?

Mathematics

2 answers:

MAXImum [283]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

The denominator is the number of sides, in this case 6.

The numerator is how many occurrences within that number is desired outcome. In this case they want odd numbers, so in a six sided dice there are 3 odd numbers (1, 3, 5). So your probability is 3/6 or 1/2.

fomenos3 years ago

5 0

Step-by-step explanation:

A six sided dice contains even numbers on three sides and odd numbers on remaining three sides.

Therefore,

Probability of rolling an odd number

$= \frac{3}{6} \\ \\ = \frac{1}{2}$

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Find the value of x in the Diagram Below.

zhannawk [14.2K]

Answer: x = 12

Step-By-Step: 180 - 100 = 80

Step-By-Step: 80 - 12 = 68

Step-By-Step: 68 is angle ( X + 12)

68 + 12 = 80 + 100 equals 180

6 0

3 years ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

Write an equation for the line shown in the graph

koban [17]

Answer:

y= -x+10

Step-by-step explanation:

ok, so the basic formula is y=mx+b

m=slope and b= the intercept

the line crosses the y-axis at 10, so we know that 10=b. it is a downward going slope, so its negative. the formula for slope is rise/run, or in our case, fall/run. for every 2 it falls, it runs 2. that is -2/2, which can be simplified to -1. looking at the graph , it's hard to comprehend the question at first and it took me multiple times looking at the graph. I hope I helped some!

7 0

3 years ago

What is 5,782 rounded to the nearest thousand

olasank [31]

Answer:

6,000

Step-by-step explanation:

because it is a less amount of numbers to get to 6,000 than to get to 5,00

4 0

2 years ago

Read 2 more answers

What’s the inequality?

Hitman42 [59]

Answer:

x: numbers of hot chocolate selling

y: numbers of apple cide selling

1x + 2y ≥ 240

2y ≥ 240 - x

y ≥ 120 - 0.5*x

7 0

2 years ago