Answer:5y=x-35
Step-by-step explanation:
The given line passes through the points ,.
Let the slope of the line be .
If a line passes through and ,then
So,
Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.
Let the y intercept be
From the graph,
The equation of the line with slope and y-intercept is
So,
Answer:
There is sufficient evidence at the 0.05 level
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
Step-by-step explanation:
percentage favoring construction of adjoining community = 47%
level = 0.05
To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
Find the mean of the first four test scores first.
(Add all numbers in set and divide by how many numbers there are)
81 + 87 + 71 + 89 = 328 / 4 = 82
Then, find the mean with the 85 added as the fifth term.
81 + 87 + 71 + 89 + 85 = 413 / 5 = 82.6
The impact that the 85 had on the mean test score was that the mean/average increased by 0.6.
Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
1. Write the equation:
d(-3 + x) = kx + 9
2. "Open" the parenthesizes:
-3d + dx = kx + 9
3. Take kx to the left side, -3d to the right, everything with different sign (+ replace with - when transferring, - replace with +):
dx - kx = 9 + 3d
4. Factor x in the left side:
x(d - k) = 9 + 3d
5. Finally, divide the whole equation by (d - k):
x = (9 + 3d)/(d - k)
That's the final answer. Good luck!