A strong positive linear correlation between the number of rainy days and the number of grapes produced on a grape plant, implies that:
The more the rains the more the number of grapes produced per plant. Hence the answer is:
A] Yes. Since the number of rainy days and number of grapes produced are linearly correlated, this means a greater number of rainy days causes the grape plants to produce more.
Answer:
y = 108°
Step-by-step explanation:
Since AB and CD are parallel lines, then
3x - 12 and 2x + 16 are corresponding angles and congruent, thus
3x - 12 = 2x + 16 ( subtract 2x from both sides )
x - 12 = 16 ( add 12 to both sides )
x = 28
Thus
3x - 12 = 3(28) - 12 = 84 - 12 = 72°
y and 3x - 12 are adjacent angles and supplementary, thus
y = 180° - 72° = 108°
Answer:
30 centimeters^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
A= (b*h)/2
In this triangle, the base is 12 cm. The height is 5 cm, since it forms a right angle with the base.
b= 12 cm
h= 5 cm
A= (12 cm * 5 cm) / 2
Solve inside the parentheses first. Multiply 12 cm and 5 cm.
A= (60 cm^2) / 2
Divide 60 cm^2 by 2
A= 30 cm ^2
The area of the triangle is 30 square centimeters.
Answer:
f(x) = 4x² - 1
Step-by-step explanation:
The given function is; f(x) = x²
Now, when stretched vertically by a factor of 4, we have;
f(x) = 4x²
It's now shifted 1 unit down.. Thus, the final function will be;
f(x) = 4x² - 1
Answer:
-1>x
Step-by-step explanation:
-5x - 15 > 10 + 20x
Add 5x to each side
-5x+5x - 15 > 10 + 20x+5x
-15> 10+25x
Subtract 10 from each side
-10 - 15 > 10-10 + 25x
-25> 25x
Divide each side by 25
-25/25> 25x/25
-1>x
