If Sarah had eight apples and she ate two apples how many apples did she eat

Which is the best estimate of the correlation coefficient for the variables in the scatter plot?

V125BC [204]

By using a scatter plot we can get the relationship of two variables or correlation.

There will be two types of correlation.

If the data of the plot show a positive slope of the estimated line then it will be a positive correlation.

Now a correlation value lie between 0 to 1 if it is very close to 0 like 0.1 , 0.2 then we can say the correlation is weak psitively correlated. and if it will be close to 1 like 0.8 or 0.9 then the correlation will be strong.

Similarly if slope of the estimated line will be negative then it will be a negative correlation.

From the above scatter plot notice that it has a negative slope and we can draw a fair estimate line on this scatter plot. So, there is strong negative correlation.

Hence the correct choice is -0.8.

3 0

3 years ago

There are 250 students taking band, chorus, or both. If there are 180 students taking band and 60 students in both band and chor

katrin2010 [14]

I think your answer here would be 70.

8 0

3 years ago

What is the perimeter of △ABC?

timofeeve [1]

<h3>Given</h3>

ΔABC
A(-3, -1), B(0, 3), C(1, 2)

the length of the perimeter of ΔABC to the nearest tenth

<h3>Solution</h3>

The perimeter of a triangle is the sum of the lengths of its sides. The length of each side can be found using the Pythagorean theorem. Effectively, each pair of points is treated as the end-points of the hypotenuse of a right triangle with legs parallel to the x- and y-axes. The leg lengths are the differences betweeen the x- and y- coordinates of the points.

The difference of the x-coordinates of segment AB are 0-(-3) = 3. The y-coordinate difference is 3-(-1) = 4. So, the leg lengths of the right triangle whose hypotenuse is segment AB are 3 and 4. The Pythagorean theorem tells us

... AB² = 3² +4² = 9 +16 = 25

... AB = √25 = 5

You may recognize this as the 3-4-5 triangle often introduced as one of the first ones you play with when you learn the Pythagorean theorem.

LIkewise, segment AC has coordinate differences of ...

... C - A = (1, 2) -(-3, -1) = (4, 3)

These are the same leg lengths (in the other order) as for segment AB, so its length is also 5.

Segment BC has coordinate differences ...

... C - B = (1, 2) -(0, 3) = (1, -1)

The length of the line segment is figured as the root of the sum of squares, even though one of the coordinate differences is negative. The leg lengths of the right triangle used for finding the length of BC are the absolute value of these differences, or 1 and 1. Then the length BC is

... BC = √(1² +1²) = √2 ≈ 1.4

So the perimeter of the triangle ABC is

... AB + BC + AC = 5 + 1.4 + 5 = 11.4 . . . . perimeter of ∆ABC in units

_____

Please be aware that the advice to "round each step" is bad advice, in general. For real-world math problems, you only round the final result. You always carry at least enough precision in the numbers to ensure that there will not be any error in the final rounding.

In this problem, the only number that is not an integer is √2, so it doesn't really matter.

7 0

3 years ago

What is the solution to equation 3 1/2 + p = 5 1/4?

Tatiana [17]

The value of p is 1 3/4

Look at the attached picture

Hope it will help you

Good luck on your assignment

8 0

3 years ago

Read 2 more answers

The steps below show the incomplete solution to find the value of x for the equation

mafiozo [28]

Step 1: 6x - 2x - 5 = -6 + 21
Step 2: 6x - 2x - 5 = 15
Step 3: 4x - 5 = 15

The next step would be to add 5 to both sides of the equation.
so Step 3: 4x - 5 = 15 .......add 5 to both sides would make
Step 4: 4x = 20

So after the next step you would have 4x = 20

Hope this helps! :)

7 0

3 years ago