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Svetach [21]
3 years ago
5

What are the r- values of the following data to three decimal places?

Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

Option D. -0.901

Step-by-step explanation:

we know that

<u>The correlation coefficient</u> r measures the strength and direction of a linear relationship between two variables. The value of r is always between +1 and –1

Using a Excel tool (Correl function)

The value of coefficient r is -0.9006876

Round to three decimal places

r=-0.901

see the table attached

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Standard form of a point that goes through-2,4 and the slope is -1/7
lesantik [10]

<u>Answer:</u>

Standard form of a line passing through (-2, 4) and having slope of  -1/7 is x + 7y = 26

<u>Solution:</u>

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a)   --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

(y-4)=\left(-\frac{1}{7}\right)(x-(-2))

=>(y-4)=\left(-\frac{1}{7}\right)(x+2)

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26  

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

8 0
3 years ago
Brennan purchased an almond tart costing $18.56. He gave the cashier $19.55. How much change did the cashier give back to Brenna
11111nata11111 [884]

Answer:

0.99.

Step-by-step explanation:

7 0
3 years ago
Consider the polynomial below.
kotykmax [81]

Answer:

(-4x - 2)(-5x) + (-4x - 2)(3)  

Step-by-step explanation:

Your polynomial is

(-4x - 2)(-5x + 3)

The distributive property states that

a(b + c) = ab + ac

Let a = -4x - 2.  Then

(-4x - 2)(-5x + 3) = a(5x + 3) = a(-5x) + a(3)

Substitute the value of a.

a(-5x) + a(3) = (-4x - 2)(-5x) + (-4x - 2)(3)

You have just distributed the first binomial (-4x - 2) among the terms of the second binomial.

3 0
3 years ago
A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be descr
Bogdan [553]

Answer: Jamar is correct

Step-by-step explanation:

Integer is a number that is a whole number and can either be positive or negative but it can't be a fraction or decimal. e.g 4, -2, 6, -23 etc.

A whole numbers are zero and other natural numbers such as 1, 4, 23. Negative numbers are not part of whole numbers.

From the statement made in the question, Sophia is wrong while Jamar is correct. The numbers aren't all whole numbers because some are negative.

5 0
3 years ago
The temperature on the side of a space shuttle that faces the sun is +250°C. The temperature on the shaded side is -130°C. What
Evgesh-ka [11]

Answer:

380º

Step-by-step explanation:

Since the shaded side is in the negative and the sun side is positive and you're trying to find the difference between them, first you try to get the negative number to be positive. So add 130 to -130 to get 0. Then add another 250º to equal the two amounts. Now since they are equal, add the numbers that you used to get the two numbers to be the same: 130+250 = 380

7 0
3 years ago
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