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
= %
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log ( )
x = n ⇔ x =
note that log x = x
Given
log (x² + 3x) - log10 = 0, then
log( ) = 0, thus
=
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
Answer:
The equation to represent the amount of water that the tank contains after the pump was working for
hours can be given as:
Step-by-step explanation:
Given:
Water tank initially contained = 24 gallons of water
The pump to fill the tank was switched to fill it.
From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.
By 1:00 PM the tank contained 120 gallons of water.
To write an equation which will tell the amount of water that the tank contains after the pump was working for
hours
Solution:
Initially, gallons of water in tank = 24
From 10:00 AM to 10:30 AM the tank had 40 gallons of water.
Thus, in half an hour the pump filled = = 16 gallons
Using unitary method:
If in of an hour water filled = 16 gallons
So, in 1 hour the water filled will be = = 32 gallons
In 3 hours the water filled will be = = 96 gallons
Thus, by 1:00 PM the water in the tank will be = = 120 gallons
This confirms the data given for 1:00 PM.
This shows that the rate at which the pump fills the tank is 32 gallons of water per hour.
The equation to represent the amount of water that the tank contains after the pump was working for
hours can be given as: