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3 years ago

Two numbers have difference of 6 and a mean of 11. Find the numbers.

Mathematics

1 answer:

creativ13 [48]3 years ago

3 0

Mean is average 11 x 2 = 22

The two cards need to equal 22 when added together.

the difference is 6:

6/2 = 3

11-3 = 8

11+ 3 = 14

14 +8 = 22

the two numbers are 8 and 14

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A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales repres

kati45 [8]

Answer:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : $y = mx+b$ . Where:

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

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

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

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917$

So the line would be given by:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

8 0

3 years ago

Solve the system of equations. 3x+4y=−23 x=3y+1

larisa86 [58]

Answer:

Step-by-step explanation:

3x+4y=−23.........(1)

x=3y+1 .........(2)

Putting (2) in (1)

3(3y + 1) + 4y = -23

9y + 3 + 4y = -23

9y + 4y = -23 - 3

13y = -26

y = -26/13

y = -2

Putting y into (2)

x=3y+1

x = 3(-2) + 1

x = -6 + 1

x = -5

7 0

3 years ago

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at

Pachacha [2.7K]

The question is incomplete:

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?

Answer:

-The Webster family needs to buy 7 packages.

-The cost of the plates is $41.93.

Step-by-step explanation:

To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:

100/15= 6.66

According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.

Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:

$5.99*7= $41.93

The cost of the plates is $41.93.

5 0

4 years ago

Anyone knows this please help me

USPshnik [31]

Answer:

(0, 2 ) and (- $\frac{4}{3}$ , $\frac{2}{9}$ )

Step-by-step explanation:

Given the 2 equations

2x² + 4x - y = - 2 → (1)

x² + y = 2 → (2)

subtract x² from both sides in (2)

y = 2 - x² → (3)

Substitute y = 2 - x² into (1)

2x² + 4x - (2 - x²) = - 2

2x² + 4x - 2 + x² = - 2

3x² + 4x - 2 = - 2 ( add 2 to both sides )

3x² + 4x = 0 ← in standard form

x(3x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - $\frac{4}{3}$

Substitute these values into (3) for corresponding values of y

x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)

x = - $\frac{4}{3}$ : y = 2 - (- $\frac{4}{3}$ )² = 2 - $\frac{16}{9}$ = $\frac{2}{9}$ ⇒ ( - $\frac{4}{3}$ , $\frac{2}{9}$ )

3 0

3 years ago

If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and b

valentinak56 [21]

There are different ways to construct an angle. The steps used in making a line segment are; First, you have to put the compass at one specific end of the line segment. Then you shift the compass slowly a little bit so it will be longer than half the length of the line segment. Then you have to draw arcs up and down the line. while using the same compass width, you then draw arcs from one specific end of the line. and thereafter you put your ruler at the point where the arcs cross, and you then draw the line segment. The difference is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in the construction of a line segment, there are differences in length. What is the construction process of Angles? This entails a good construction process in making angles. They are step-by-step processes used to produce detailed and exact geometric figures.

7 0

2 years ago