Answer: r = -0.64
Step-by-step explanation:
The correlation coefficient is a measure of the strength of the linear relationship between two variables and is denoted by r. Values between 0.3 and 0.7 indicate a moderate positive (negative) linear relationship .
Values between -0.3 and -0.7 indicate a moderate negative linear relationship .
The only value of r in the option is r= -0.64 lies in given interval of moderate negative linear relationship .
Therefore, c is the right answer.
4(1)-1=3
4(2)-1=7
4(3)-1=11
4(4)-1=15
4(5)-1=19
Answer:
a² - b² = ± 32
Step-by-step explanation:
⇒ a + b = 4
⇒ a = 4 - b ... ( 1 )
Substituting this in another equation we get,
⇒ ab = -12
⇒ ( 4 - b ) ( b ) = -12
⇒ 4b - b² = -12
⇒ b² - 4b - 12 = 0
⇒ b² - 6b + 2b - 12 = 0
⇒ b ( b - 6 ) + 2 ( b - 6 ) = 0
⇒ ( b + 2 ) ( b - 6 ) = 0
⇒ b = -2, 6
Case 1: If b = -2
⇒ a = 4 - b
⇒ 4 - ( -2 ) = 4 + 2 = 6
Case 2: If b = 6
⇒ a = 4 - b = 4 - 6 = -2
Hence the numbers are 6 and -2.
⇒ a² - b² = ?
Case 1: a = 6 and b = -2
⇒ ( 6 )² - ( -2 )²
⇒ 36 - 4 = 32
Case 2: a = -2, b = 6
⇒ ( -2 )² - ( 6 )²
⇒ 4 - 36 = -32
Hence the answer for a² - b² can be ± 32 depending on the values of a and b.
hope it help a little bit.
Answer:
Pi is an irrational number
Step-by-step explanation:
Pi is an irrational number, meaning it is a real number that cannot be stated as a fraction. That's because pi is a "infinite decimal," meaning the digits go on forever and ever after the decimal point.
Hope this helps! Have a great day!
Answer:
C. 99 yd^2
Step-by-step explanation:
The formula for solving for area of a triangle is 1/2*b*h.
18*11=198
198/2=99