Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
----> the parent function
The vertex of f(x) is the point (0,0)
----> the transformed function
The vertex of g(x) is the point (0,-3)
so
The rule of the translation is
f(x) -----> g(x)
(0,0) ----> (0,-3)
(x,y) ----> (x,y-3)
That means ---> The translation is 3 units down
see the attached figure to better understand the problem
Answer:
lowest score a college graduate must earn to qualify for a responsible position is 578
correct option is D. 578
Step-by-step explanation:
given data
mean = 500
standard deviation = 50
distribution = 6 %
to find out
What is the lowest score a college graduate must earn to qualify for a responsible position
solution
we know that here Probability P that is express as
P ( Z > x ) = 100% - 6% .....................1
so with the help of normal table
here value of Z is = 1.55 from cumulative probability 0.94
so by z score formula here x will be
x = z × standard deviation + mean ................2
so put here value
x = 1.55 × 50 + 500
x = 577.7387 ~ 578
so lowest score a college graduate must earn to qualify for a responsible position is 578
The answer is that the ratio of a to c is 9/5
<h2>
Explanation:</h2><h2 />
The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:
Our goal is to find x. So by Pythagorean theorem:
Conclusion:
<em>ΔABC ~ΔDEF</em>
<em>Distance across the river is 25.34m </em>
Answer:
length ≈ 0.599 feet
Step-by-step explanation:
volume = length³
0.215ft³ = length³
cube root both sides to isolate the length
∛(0.215ft³) = length
length ≈ 0.599 feet
