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3 years ago

Tom and same sit down to eat a pie. Tom eats 2/3 of the pie , and sam eats 1/4 of the pie what function of the pie is left

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

If you mean fraction,

Tom: 2/3

Sam: 1/4

Now we change the denominator.

Tom: 6/12

Sam: 3/12

6/12 + 3/12 = 9/12

9/12 can be simplified, so 3/4 of the pie was eaten.

4/4 - 3/4 = 1/4

The answer is 1/4.

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For a certain data set the regression equation is y = 2 + 3x. The correlation coefficient between y and x in this data set _____

lozanna [386]

Answer:

C. Must be 1

Step-by-step explanation:

The correlation coefficient of an equation represents the relation between the two variable ( dependent and independent )

It lies between -1 to 1,

If an equation has strongly positive correlation then the value of correlation coefficient is 1,

If there is no relation then the value of correlation is 0,

If there is strongly negative relation then the value of correlation coefficient is -1,

Here, the equation is,

y = 2 + 3x

Since, the value of y is increasing with increasing the value of x,

We can say that there is strong positive relation between the variables x and y,

Hence, by the above statements,

The correlation coefficient between y and x in this data set must be 1.

Option 'C' is correct.

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3 years ago

Three consecutive even numbers add up to a number between 100 and 120 what might the number be?

Rzqust [24]

The number can be 102, 108, or 114. They can all be formed that way.

32 + 34 + 36 = 102
34 + 36 + 38 = 108
36 + 38 + 40 = 114

The next one is 120 . . . . . 38 + 40 + 42

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3 years ago

What expression is equivalent to 6+3(n-4)-8+2n

lorasvet [3.4K]

Answer:

Step-by-step explanation:

Comment

Begin by removing the brackets.

6+3(n-4)-8+2n

6 + 3n - 12 - 8 + 2n Collect like terms

3n + 2n + 6 - 12 - 8 Combine

5n - 14

Answer

5n - 14

4 0

2 years ago

Find the terms, coefficients, and constants of 4x+x+17

andreyandreev [35.5K]

Answer:

17 and x=constant,

4x=coefficient

hope this helps

have a good day :)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

3 years ago