Parallel = same slope
y = -2/3x + b
Plug in point
15 = -2/3(-3) + b
15 = 2 + b, b = 13
Solution: y = -2/3x + 13
Answer:
(1,8) and (-3,0)
Step-by-step explanation:
We simply graph the two functions in the same graph. The solution set to the system is given by the points where the two functions intersect. For this case, the two functions intersect at;
(1,8) and (-3,0)
The solution set is thus; (1,8) and (-3,0)
Check the attachment below;
Answer:
11.9 feet
Step-by-step explanation:
We want to find the value of 'x' and we are asked to set up an equation to find the value of x. In equation we must remember to get all the numerical values to one side and all the non-numerical values to the other while remembering to keep the equation balanced for example if we add 4 on one side we must do it to the other side to keep the equation balanced so,
→ x + 5.2 + 11.1 + 6.4 = 34.6
⇒ Simplify equation
→ x + 22.7 = 34.6
⇒ Minus 22.7 from both sides to isolate x
→ x = 11.9 feet
Answer:
<h2>7a-12</h2>
Step-by-step explanation:
Questions :
a. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 100. (Round your answer to four decimal places.)
b. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 500. (Round your answer to four decimal places.)
c. Is the small P-value for n = 500 indicative of a difference that has practical significance
Answer :
0.1574
0.00157
Yes
Step-by-step explanation:
Hypothesis :
H0 : μ1 - μ2 = 0
H1 : μ1 - μ2 ≠ 0
Given :
x1 = 60.7 ; x2 = 60.5 ; s1 = 1 ; s2 = 2
Based on n = 100
Test statistic, Z :
Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]
x1 - x2 = 60.7 - 60.5 = 0.2
0.2 / √(1²/100 + 1²/100 )]
0.2 / √0.02
Z = 1.414
The Pvalue from Zscore :
P(Z < 1.414) = 0.1574
B.)
For n = 500
Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]
x1 - x2 = 60.7 - 60.5 = 0.2
0.2 / √(1²/500 + 1²/500 )]
0.2 / √0.004
Z = 3.162
The Pvalue from Zscore :
P(Z < 3.162) = 0.00157
Yes, the small Pvalue for n = 500 is indicative of a difference with practical significance ; as the Pvalue are compare with the α to make about a Decison about our hypothesis.
