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Sloan [31]
3 years ago
5

What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0
1/24 because you have a 1/6 chance of rolling a 2 and a 1/4 chance of pulling a spade and when multiplied you get 1/24
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Which statement is true about -14 and -8?
marin [14]

Answer:

A

Step-by-step explanation:

-14>-8 because -14 is located to the left of -8 on the number line.

7 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
Simplify the expression -3 + 1/3 x + (-4.5) - 1/5x
WITCHER [35]

Answer:

Step-by-step explanation:

-3 +\dfrac{1}{3}x - 4.5 -\dfrac{1}{5}x\\\\\\= -3 - 4.5 +\dfrac{1}{3}x - \dfrac{1}{5}x\\\\\\= - 7.5 + \dfrac{1*5}{3*5}x - \dfrac{1*3}{5*3}x\\\\\\= -7.5 +\dfrac{5}{15}x-\dfrac{3}{15}x\\\\\\= -7.5 + \dfrac{5-3}{15}x\\\\\\= -7.5 +\dfrac{2}{15}x

6 0
2 years ago
Read 2 more answers
The price ( p) of a school lunch is 8:50 The restaurant increases the price by 12% which statement is true for this situation
professor190 [17]

Answer:

B

Step-by-step explanation:

1 is 100% so increasing it by 12% means adding 0.12 to it

4 0
3 years ago
How do you apply frequency distribution table in real life?
Lelu [443]

Answer:

As a statistical tool, a frequency distribution provides a visual representation for the distribution of observations within a particular test. Analysts often use frequency distribution to visualize or illustrate the data collected in a sample.

5 0
3 years ago
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