Answer:
4 1/3
Step-by-step explanation:
12/3=4
1/3+4=4 1/3
80 is a good one to start with.
After that, you can move on to 83, 481, 1687, and 102,974,589 .
Answer:
The correct option is D.
Step-by-step explanation:
The given graph is the graph of a cosine function, which shifts 1 unit left.
The cosine function is defined as
Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.
If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.
Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is
Option D is correct.
Answer:
A. Randomized experiment.
Seee explanation below.
Step-by-step explanation:
Previous concepts
In a Randomized experiment the results can be use to establish causal inferences about means of control. and present two important characteristics:
a) "the independent or explanatory variable is controlled by direct manipulation.
b) "All other sources of variability are controlled by chance".
An observational study is an empirical but is nonexperimental investigation in order to see the effects caused by an specific treatment.
Solution to the problem
For this case we want to determine the effect of adhesive brands on the bonding of veneer to cabinets.
The experiment is conducted with 6 different groups defined with different adhesive and all the groups are the same except by the type of brand for the adhesive used.
So on this case we see that the variable of interest is controlled with direct manipulation with the creation of the 6 groups. And we have that all the the others sources of variability are controlled by chance since all the groups are identical except by the brand type.
So for this case the correct answer would be:
A. Randomized experiment.
<span>The sum of Kate age and her mother's age is 52, so
K + M = 52
Kate's mother is 20 years older then Kate, so
M = 20 + K
How old is each person?
Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K
So, K + (20 + K) = 52
K + 20 + K = 52
2K + 20 = 52
Subtract 20 from both sides:
2K = 52 - 20
2K = 32
divide both sides by 2 to get
K = 16
Now we can find M, since M = 20 + K = 20 + 16 = 36
Kate is 16 years old and her mother is 36 years old.
Hope this helps!!1</span>
