Answer:
Step-by-step explanation:
Daily temp(in F) Cakes sold
42 39
45 52
48 31
54 61
59 72
62 35
64 61
65 34
67 58
75 45
84 24
To find whether there is an association between these two let us find the correlation coefficient between these two variables.
r=-0.1975
Since |r|<0.5, correlation is weak.
Let us test the hypothesis r =0
H0:r=0
Ha:r not equals 0
Test statistic =
p =0.298
Since p value >0.10, at 90% significance level we accept that there is no association.
Answer:
here is your answer.....
Answer:
see explanation
Step-by-step explanation:
(a)
x² - 36 = 0 ← is a difference of squares and factors as
(x - 6)(x + 6) = 0
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 6 = 0 ⇒ x = 6
(b)
x² - 5x + 4 = 0
consider the product of the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
(x - 1)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 4 = 0 ⇒ x = 4
(c)
x² - 2x = 3 ( subtract 3 from both sides )
x² - 2x - 3 = 0 ← in standard form
consider the product of the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)
the factors are + 1 and - 3 , since
1 × - 3 = - 3 and 1 - 3 = - 2 , then
(x + 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
(d)
6x² - 11x - 10 = 0
consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 6 × - 10 = - 60 and sum = - 11
the factors are + 4 and - 15
use these factors to split the x- term
6x² + 4x - 15x - 10 = 0 ( factor the first/second and third/fourth terms )
2x(3x + 2) - 5(3x + 2) = 0 ← factor out (3x + 2) from each term
(3x + 2)(2x - 5) = 0
equate each factor to zero and solve for x
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = -
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =