Answer:
The graph of g is the graph of f shifted up by 3 units.
Step-by-step explanation:
Consider the graph of a function r with real numbers k and h.
Transformation Effect
r(x) + k shifts the graph up k units
r(x) - k shifts the graph down k units
r(x + h) shifts the graph to the left h units
r(x - h) shifts the graph to the right h units
It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.
Answer:
<h2>-3n = 27</h2>
Step-by-step explanation:
The product of a number and negative three is twenty-seven.
<em>n - </em><em>a number</em>
the product of a number and negative three: <em>n · (-3) = -3n</em>
Answer:
Option A.
Step-by-step explanation:
In an experiment a mouse took the mean time to find its way through a maze = 18 seconds.
So the mean time μ = 18
So null hypothesis says,
H₀ : μ = 18
Then a researcher thought that the mice can complete the maze faster than the time taken earlier.
So he thinks mean time taken by 10 mice will be less than 18 seconds.
Or μ < 18
Alternate hypothesis says will be
Hₐ : μ < 18
Therefore, null hypothesis and alternate hypothesis will be
H₀ : μ = 18
Hₐ : μ < 18
Option A. will be the answer.
It is suppose to be letter d
Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.28.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
