Finding the correlation coefficient, it is found that the regression line shows a:
negative trend line with a strong relationship.
<h3>What is a correlation coefficient?</h3>
- It is an index that measures correlation between two variables, assuming values between -1 and 1.
- If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
- If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
Inserting the values of a table, the x-values as 25, 28, 30, 31, 33, 40, and the y-values as 7.5, 6, 5.5, 5, 4.5, 4.5, the coefficient is of -0.85, which is negative and strong.
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3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
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X- the number of pumpkin she had initially
she gave you x/2
x-x/2=x/2
(x/2)/2=x/4(she gave Coral)
x/2-x/4=x/4
x/4=6
x=24
Answer
Find out the how many ounces is each pork chop .
To prove
Relationship between pound and ounce .
1 pound = 16 ounce
As given
A 3 pound pork loin can be cut into 10 pork chops with equal weight.
Now for 3 pound pork loin = 3 × 16
= 48 ounces
now 48 ounces of pork loin can be cut into 10 pork chops with equal weight.
Than
= 4.8 ounces
Therefore the weight of each ounce be 4.8 ounces .
The paragraph thing is simply just seeing what you can multiply each by which is 7. The answer is 3/4
