T, would be equal to 3.5 because 3.5+3=6.5 and 6.5×2.5=16.25. Hope that helped :D
Gfc is greatest common factor so the greates number that goes into both of them
<u>48</u> <u>14</u><u />
1×48 1×14
2×24 2×7
4×12
6×8
2 is the greatest common factor
so im guessing (2×24) + (2×7)
Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
Answer: c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.
Step-by-step explanation:
Interpretation for 95% confidence interval :
A person can be 95% confident that the true population parameter lies in it.
By considering the given information , we have
population parameter→ p (Proportion of people who think climate change )
95 percent confidence interval = (0.146, 0.214)
Interpretation : We can be 95% confident that the true population proportion of people who think climate change lies between 0.146 and 0.214.
So , the correct answer is
c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.
The number of standard deviations from the mean for a man 72 inches tall is
Z = (72 -69.3)/2.8 ≈ 0.964
