Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
T will travel 81 m/s because addin six to 21 gives you 27 so take that times three and you get 81 m/s hope this helps
Answer:
x = -5 y = -9
Step-by-step explanation:
y = x -4
5x + y = - 34
substitute x-4 in for y to solve for x
5x + x - 4 = 34
solve for x . . . add 5x + x = 6x
so you now have 6x-4 = -34
add 4 to both sides of the equation
6x-4 + 4 = -34+ 4
6x = -30
divide both sides by 6
6x/6 = -30/6
x= -5
then you plug -5 for x in the first equation
y = x - 4
y= -5 -4
y =-9
x= -5 y= -9
Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:

Alternative hypothesis:

The t-test statistics is determined by using the formula:




Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small