Need help with this.

Jake needs to put gas in the delivery van regular gasoline is 3.20 per gallon he only had a $20 bill on him how many gallons can

Fed [463]

Your max amount for this is $20. Let's say x represents the number of gallons.

20 ≥ 3.2x
x = 6.25 gallons
If they're asking for integers or whole numbers, you'd round down to 6 because you only have enough money for 6 full gallons. If you rounded up to 7, you wouldn't be able to fill it up completely because then you'd be over your $20.00 budget for gas.

4 0

2 years ago

Read 2 more answers

Which is not in proportion a) 2 : 4 = 3 : 6 b) 1 : 3 = 3 : 9 c) 4 : 6 = 3 : 2 d) 5 : 1 = 10 : 2

Gnoma [55]

Answer:

C

Step-by-step explanation:

(a)

2 : 4 ( divide both values by 2)

= 1 : 2

3 : 6 ( divide both values by 3 )

= 1 : 2

Thus 2 : 4 = 3 : 6

(b)

3 : 9 ( divide both values by 3 )

= 1 : 3

Thus 1 : 3 = 3 : 9

(c)

4 : 6 ( divide both values by 2 )

= 2 : 3 ≠ 3 : 2

(d)

10 : 2 ( divide both values by 2 )

= 5 : 1

Thus 5 : 1 = 10 : 2

3 0

3 years ago

What is the chance of rolling 4 a million time?

lys-0071 [83]

$\frac{1}{1000 \: 000}$

6 0

3 years ago

3 ^(1 − 7 x = 7 ^x find the exact value

Shalnov [3]

Answer:

x

=

ln

(

3

)

7

ln

(

3

)

+

ln

(

7

)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

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

2 years ago