Answer:
<h3>2T/9</h3>
Step-by-step explanation:
A construction manager needs 12 workers to complete a building project in 54 days, we can write;
12 workers = 54 days
T find the number of workers needed to complete the same project in T days, we will write;
x workers = T days
Divide both equations
12/x = 54/T
Cross multiply
12T = 54x
x = 12T/54
x = 2T/9
Hence the number of workers needed to complete the same project in T days is 2T/9 workers
Answer:
Step-by-step explanation:
The two rectangles are similar and the scale factor is
Answer: we need to survey 2285 Americans.
Step-by-step explanation:
When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-
, where E = margin of error , z* = critical z-value.
Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96
Required sample size: 

Hence, we need to survey 2285 Americans.
Answer:
negative association
Step-by-step explanation:
This diagram is a scatter plot which represents a set of data. Data on a scatter plot can fit one of three descriptions: positive (increasing), negative (decreasing) or no association (points do not form any kind of line). Given this data and the line of best fit, or the line that pass through the majority of the points, it is a decreasing line. Since the line goes downhill, it is a negative association.
Answer: Angle C = 51.5°
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo.
we would apply the law of Cosines which is expressed as
c² = a² + b² - 2bcCosC
Where a,b and c are the length of each side of the triangle and C is the angle corresponding to c.
Therefore,
18² = 23² + 14² - 2(23 × 14)CosC
324 = 529 + 196 - 2(322)CosC
324 = 725 - 644CosC
644CosC = 725 - 324
644CosC = 401
CosC = 401/644
CosC = 0.623
C = Cos^- 1(0.623)
C = 51.5° to the nearest tenth