Answer:
3
Step-by-step explanation:
(4^4-2)*1/2+20 OVER 3^4-(2^4)*2
256-1*1 +20/2 OVER 3^4-(2^4)*2
254+20/2 OVER 3^4-2^4*2
127+10 OVER 3^4-2^4*2
147 OVER 3^4-2^4*2
147 OVER 81-2^4*2
147 OVER 81-16*2
147 OVER 81-32
147/49
3 is the answer
The equation of the line in point-slope form is equal to
The equation of the line in standard form is equal to
step 1
Find the slope m
Let
step 2
convert to standard form
Answer:
-2x -1 if f(x) is reflected along the x axis and translated 1 unit downward
Step-by-step explanation:
A function can either be reflected along the x axis or along the y axis. If a function is reflected along the x axis, the new reflected equation g(x) is given by:
g(x) = -f(x) = -2x
g(x) = -2x
If a function is reflected along the y axis, the new reflected equation g(x) is given by:
g(x) = f(-x) = 2(-x)
g(x) = -2x
Translation means the shifting of the curve either up or down in a graph. If the reflected function is shifted 1 unit upward, the function becomes:
g(x) + 1 = -2x + 1
If the reflected function is shifted 1 unit downward, the function becomes:
g(x) - 1 = -2x - 1
Answer:


And the 68% confidence interval is given by (91.1186, 97.2814)
Step-by-step explanation:
For this case we know that mean time that visitors stay at a museum is given by:

The standard deviation is given by:
And the standard error is given by:
And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

We can find the interval like this:

And replacing we got:


And the 68% confidence interval is given by (91.1186, 97.2814)