Answer:
The percentage of workers not wearing the helmets is 5.3 %.
Step-by-step explanation:
A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence
total workers = 900
Not wearing helmet = 48
Percentage which are not wearing the helmets
=
%
$0.56. 0.7/5=$0.14 $0.14 is the amount per minute. so then you would multiply $0.14 x 4= $ 0.56
The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ ![\frac{3}{2}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D1.5)
∵ ![\frac{6}{4}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3D1.5)
∵ ![\frac{9}{6}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B6%7D%3D1.5)
∴ ![\frac{y}{x}=k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3Dk)
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
Learn more:
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5.7 is your answer
Hope this helps.
Answer:
D). 262.5 miles.
Step-by-step explanation:
The speed at which they are drawing apart = 60 + 45 = 105 mph.
So in 2.5 hours they wiil be
2.5 * 105
= 210 + 52.5
= 262.5 miles.