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2 years ago

4. Van's Deli sells hot dogs for $2 and hamburgers for $5. His daily sales goal is $200.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

6 0

Answer:

the deli would have to sell 100 hot dogs or 40 burgers

Step-by-step explanation:

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sertanlavr [38]

Answer:47.25

Step-by-step explanation: it is 10.5 x the 4.5

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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

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

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3 years ago

Avery is programming her calculator to make a graph of the letter v. The points she uses for the left side of the letter are lis

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Meryl needs to cut down 10.5 trees for every 5 cabins she builds.

Zepler [3.9K]

Answer:

for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(

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3 years ago

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The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?

victus00 [196]

Answer:

$\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}$

Step-by-step explanation:

The formula of a surface area of a ball (sphere):

$S.A.=\dfrac{4}{3}\pi R^3$

R - radius

We have R = 15in. Substitute:

$S.A.=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3375)=4500\pi\ in^2$

If you want to get an approximation, then:

$\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2$

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2 years ago