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77julia77 [94]
3 years ago
8

Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y. ​

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

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Listed below are numbers of internet users per 100 people and numbers of scientific award winners per 10 million people for diff
Yuliya22 [10]

Answer:

There is not sufficient evidence to support a claim of linear correlation between the two variables.

Step-by-step explanation:

The data provided is as follows:

X        Y

78       5.5

79       8.8

56.2      3.3

68.3       1.7

77.9      10.8

38.2       0.1

(a)

The scatter plot is attached below.

(b)

Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, <em>r</em>.

The correlation coefficient between the number of internet users and the award winners is,

<em>r</em> = 0.797.

(c)

The test statistic value is:

t=r\sqrt{\frac{n-2}{1-r^{2}}}

  =0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64

The degrees of freedom is,

df = n - 2

   = 6 - 2

   = 4

Compute the <em>p</em>-value as follows:

p-value=P(t_{n-2}

*Use a <em>t</em>-table.

<em>p</em>-value = 0.057 > <em>α</em> = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.

3 0
4 years ago
If x and y vary inversely and x=4 when y=1, find x when y = 10​
slamgirl [31]

Answer:

x = 40 when y = 10

Step-by-step explanation:

The reason that answer is true is because every time 'y' goes up by 1 'x' goes up by 4. So when 'y' = 10 that means x has to go up 10 times just like 'y' did.  

8 0
4 years ago
Read 2 more answers
Franz must buy a minimum of $25 of art supplies to qualify for free shipping. He bought an easel for $15. He also bought 10 tube
crimeas [40]

Answer:

if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars

Step-by-step explanation:

hope this helps

8 0
3 years ago
The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the
Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4

6 0
3 years ago
I have a two digit number the sum of the digits is 12 the first digit is 4 Less Than 3 times the second what is my number​
nignag [31]

Answer:

84

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12          Combine the left side

4y - 4 = 12                Add 4 to both sides

4y = 16                     Divide by 4

4y/4 = 16/4        

y = 4  

=================

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

3 0
3 years ago
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