A restaurant has square dining tables.they will place table settings on each table so that there is a distance of 2 feet from ea
ch corner to a table setting. The 3 table settings on each side will be 3 feet apart. What is the perimeter of one table?
2 answers:
Answer:
Perimeter = 12ft
Step-by-step explanation:
Given that the distance between the table and each corner of the table setting is 2feets it implies the table settings is place at the center of each table.
Since the table settings is at the center of the table and each table settings are 3feets apart, it implies that distance from table setting to the end of the table will be 3ft/2 = 1.5ft
If half length of the table is 1.5ft
Length = 2 x 1.5ft = 3ft
Formular for perimeter of a square = 4L
Perimeter = 4 x 3 = 12ft
See attachment for diagram.
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Answer:
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis
Step-by-step explanation:
We have the following info given from the problem:
the random sample of voters selected from the town
represent the proportion of residents favored construction
represent the value desired to test.
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis
And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:
(1)
And with the data given we have:
Answer:
The given points are
The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.
The given maxium horizontal coordinate is 0.
The given minimum horizontal coordinate is -13.
The given maximum vertical coordinate is 3.
The given minimum vertical coordinate is -7.
Now, we extend each maximum and minimum value by 2 units to create the setting.
So, the setting is
With a scale of 2 units.