Answer:
B. 650 Roast Beef, 490 Tuna, 900 Turkey
Step-by-step explanation:
As this chart displays the order that occured in one week, in order to find the estimate for the month is to multiply the values on the chart by how many weeks there are in a month.
As there are 4 weeks in a months, we can multiply each value by this ratio
Roast Beef: 
Tuna: 
Turkey: 
As this is an estimate, we are looking for the option that is the closest to these estimated values.
Option B is the closest to these values.
Answer:
4 >=x
x > 2
Step-by-step explanation:
x+5 >= 2x+1
subtract x from each side
x+5 -x>= 2x+1 -x
5>= x+1
subtract 1 from each side
5-1 >=x+1-1
4 >=x
-4x < -8
divide by -4 ( remember when multiplying or dividing by a negative flip the inequality)
-4x/-4 > -8/-4
x > 2
Answer:
For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
And for this case we should use a righ tail test based on the alternative hypothesis.
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And for this case we should use a righ tail test based on the alternative hypothesis.
Answer:
10.5 ft.
Step-by-step explanation:
1. Find the radius of the larger circle
4/7 = 3/r --> the ratio should be <em>constant</em>
cross-multiplication: <em>21 = 4r</em>
Divide: <em>r = 5.25 ft.</em>
2. Find the circumference
Equation: <em>C = 2πr</em>
C = <em>2π*5.25</em>
C = 10.5π ft.
