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PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Answers

Answer 1

Answer:

Answer:

a) y= 2x +3

b) y= ¼x +1

Step-by-step explanation:

Please see the attached picture for the full solution.

Further explanation:

b) y-intercept of A= 5

y-intercept of line= 5 -4= 1

Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.

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Suppose you are a chemist who is trying to synthesize a specific compound. You have been working with a new technique and you think that this process can turn 60% of the input compounds into the desired synthesized compound, and want to attempt the process enough times to get an estimate that is within .04 of the true proportion that is converted. How many times should you execute the process to get the desired precision

Answers

Answer:

The sample size 'n' = 576

576 times should you execute the process to get the desired precision

Step-by-step explanation:

Explanation :-

Step(i)

Given data the process can turn 60% of the input compounds into the desired synthesized compound.

Sample proportion ' p' = 60% = 0.60

Given data the estimate within 0.04 of the true proportion that is converted

The margin of error of the true population proportion

M.E = 0.04

Step(ii)

The margin of error of the true population proportion is determined by

$M.E = ( Z_(0.05) √(p(1-p)) )/(√(n) )$

$0.04 = ( 1.96 √(0.60(1-0.60)) )/(√(n) )$

$√(n) = ( 1.96 √(0.60(1-0.60)) )/(0.04 )$

on calculation, we get

$√(n) = 24$

squaring on both sides ,we get

n = 576

Final answer:-

The sample size 'n' = 576

576 times should you execute the process to get the desired precision

Math Graded Assignment Unit Test, Part 2 Measures of Center and Spread(Score for Question 2: ___ of 5 points)
2. Consider the following line plot.
2
4
6
8
(a) What is the general trend of the graph?
(b) What is the median of the data? Explain.
(c) What is the mean of the data? Explain. Round to the Nearest tenth.
(d) Would the mean or median be affected more with a data point of 20? Explain.
Answer:
P

Answers

Answer:

BUDDY PUT THE WHOLE TEST ON HERE

Step-by-step explanation:

Compare to the graph f(x)=x^2 the graph of g(x)=(x-2)+3 is the result of translating f(x) 1.2 units up 3 units to the right
2. 2 units down and 3 units up
3. 2 units right and 3 units up
4 2 units left and 3 units right

Answers

Answer:

i believe it is 4 but i'm not so sure

Step-by-step explanation:

Final answer:

The graph of g(x)=(x-2)^2+3 compared to the graph of f(x)=x^2 is translated 2 units to the right and 3 units upwards.

Explanation:

To understand the transformation of graphs in mathematical terms, consider the initial function f(x) = x^2. The transition to the new function g(x)=(x-2)^2+3 is a result of a shift or translation of the graph. This transformation behaves as per the following rule: g(x) = f(x-h)+k where 'h' units is the horizontal displacement and 'k' units is the vertical displacement.

In the function g(x), x shifts two units to the right (as indicated by (x-2)) and three units upward (as indicated by +3).

So, the correct answer is 2 units right and 3 units up.