A worker is exposed to 98 dB for five hours and 82 dB for three hours, giving an eight-hour working day. On average, what noise level is this worker exposed to?
Answers
Answer:
92 dB
Step-by-step explanation:
Use the mean formula, mean = sum of elements / number of elements.
Since it is a 8 hour work day, there are 8 elements.
mean = sum of elements / number of elements
mean = (98 + 98 + 98 + 98 + 98 + 82 + 82 + 82) / 8
mean = 736 / 8
mean = 92
So, the average noise level is 92 dB
Related Questions
1. If a house cost $200,000 in Las Vegas in 2012 and there was a 20.7% increase in houses from 2012 to 2013, what is the price of the house in 2013.?
Answers
Answer:
$241,400
Step-by-step explanation:
House costs: $200,000
Percentage increase: 20.7%
This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,
200,000 x 20.7/100 = 41,400
So the value of the house increased by $41,400 in this year.
Now we add to evaluate the total price of the house in 2013.
200,000 + 41,400 = 241,400
House price: $241,400
a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
Answers
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answers
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation:
Jen made a small box out of cardboard to wrap a birthday present. The box is 4 in. high, 4.4 in. long, and 5 in. wide. She wants to know the how much wrapping paper she will need to wrap the box. Find the surface area of the box.A: 75.2 in.2B: 119.2 in.2C: 88.0 in.2D: 59.6 in.2
Answers
the dimensions of the box is,
height h = 4 in
length l = 4.4 in
width b = 5 in
so this box is cuboid, os the surface area of the cuboid is,
\(A=2(l\times b+b\times h+h\times l)\)\(A=2(4.4\times5+5\times4+4\times4.4)\)\(\begin{gathered} A=2(22+20+17.6) \\ A=2\times59.6 \\ A=119.2\text{ inch\textasciicircum{}2} \end{gathered}\)so the surface area is 119.2 square inch
thus, the correct answer is option A
? Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What is a value of √7 inches to the nearest hundredth?
Answers
The value of √7 to the nearest hundredth is 2.65.
What is Square root?
A square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
Here, given number;
y = \(\sqrt{7}\)
y = 2.64575....
y = 2.65
Thus, the value of √7 to the nearest hundredth is 2.65.
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The price of an item has been reduced by 95%. The original price was $65
Answers
The new price of the item is equivalent to $3.25.
What is percentage?In mathematics, a percentage is a number or ratio that represents a fraction of 100. A percentage is a dimensionless number i.e. it has no unit of measurement.Given is that the price of an item has been reduced by 95%. The original price was $65
Assume the new price to be $[x]. So, we can write -
x = 65 - {95% of 65}
x = 65 - {(95/100) x 65}
x = 65 - {6175/100}
x = 65 - 61.75
x = 3.25
Therefore, the new price of the item is equivalent to $3.25.
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The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)
Answers
Answer:
The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.
In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:
C = pi x d = 3.14 x 60 = 188.4 centimeters
When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:
distance = 35 x circumference = 35 x 188.4 = 6584 centimeters
We can convert centimeters to meters by dividing the distance by 100:
distance = 6584 ÷ 100 = 65.84 meters
Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.
30
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining
eggs were white in color. Which equation can be used to solve for w, the number
of white eggs used last week?
A 231 +46w=0
B 46+ w = 231
C w = 231 +46
D 231 = 46w
Answers
D 231 = 46w can be used to solve for w, the number of white eggs used last week.
Last week, a dairy farm produced m kg of cheese. The dairy farm also produced 28 kg more yoghurt than cheese and 3 times as much ice cream as cheese. The dairy farm produced more kilograms of ice cream than yoghurt last week. Write and solve an inequality to work out the possible values of m.
Answers
Answer:
Hence the possible values of m are m > 14
So, the dairy farm produced greater than 14 kg of cheese
Step-by-step explanation:
We have m = kg of cheese,
let y = yogurt
and i = ice cream,
The dairy farm also produced 28 kg more yoghurt than cheese
y = m + 28
3 times as much ice cream as cheese
i = 3m
The dairy farm produced more kilograms of ice cream than yoghurt last week
i > y
so we have,
y = m + 28 (i)
i = 3m (ii)
i > y (iii)
Now, using (i) and (ii) in (iii),
i > y
3m > m + 28 (i = 3m, y = m + 28)
subtracting m from both sides,
3m - m > m - m + 28
2m > 28
dividing by 2 on both sides,
m > 28/2
m > 14
please help fast!! :)))
Answers
Answer:
2.388,16
Step-by-step explanation:
allprime numbers are not divisible by two true or false
Answers
Answer:
False
Step-by-step explanation:
This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).
An arithmetic sequence has a first term of 4 and a common difference of 3. What is the 20th term
of the sequence?
Answers
Answer:
61
Step-by-step explanation:
aₙ = a₁ + (n - 1)d
aₙ = 4 + (20 - 1)3
aₙ = 4 + (19)3
aₙ = 4 + 57
aₙ = 61
A dilation is a transformation in which the _____, but not the shape, of a geometric figure is changed.
Answers
no explanation really
like dilation 2x, 2y makes the size bigger but the shapes rhe same
Need help with this equation 8x²+10x-3
Answers
Answer:
Step-by-step explanation:
You have to use the quadratic formula
x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)
and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2
you usually have to reject an answer but since there is no equal sign in the question, you should be fine
If a city’s maximum temperature was 42 degrees and the minimum was 9 degrees, what is the difference between the two temperatures?
Answers
The difference between the two temperatures is 33 degrees.
How to find the difference between the two temperatures?The city's maximum temperature was 42 degrees and the minimum was 9 degrees.
The difference between the two temperatures can be calculated as follows;
The difference in temperature is the subtraction of the minimum temperature from the maximum temperature.
Therefore,
difference between the temperature = maximum temperature - minimum temperature
maximum temperature = 42 degrees
minimum temperature = 9 degrees
Hence,
difference between the temperature = 42 - 9
difference between the temperature = 33 degrees.
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Find the midpoint of the segment below and enter its coordinates as anordered pair. If necessary, express coordinates as fractions, using the slashmark ( ) for the fraction bar.
Answers
To find the coodinates of the midpoint (x,y) we use the following formula:
\(\begin{gathered} x=\frac{x_1+x_2}{2} \\ y=\frac{y_1+y_2}{2} \end{gathered}\)Susbtituting
\(\begin{gathered} x_1=-4 \\ x_2=4 \\ y_1=6 \\ y_2=-2 \end{gathered}\)we get:
\(\begin{gathered} x=0 \\ y=2 \end{gathered}\)Finally, the coordinates of the midpoint are (0,2).
HELP! WILL GIVE BRANLIEST! + EXTRA POINTS!
Answers
Answer:
707 bags of sand
Step-by-step explanation:
To find the area all you have to do is add 40+5+5=50 then you split that in half to get the radius. The you use the area formula to get the entire shape and the get the radius of the smaller circle. Then, you subtract the small circle from the big circle to get the amount of sand needed. When you do that you should get 706.86 but since you need a whole number you would round up to 707
sin¹(x)-cos¹ (x)/sin²(x)-cos² (x) =1
Answers
SOMEONE HELP ME PLEASE IM SO CONFUSED
Answers
Answer: 132.5 or 85 degree
Step-by-step explanation:
Answer:
55
Explanation, when 2 angles are bisected, they are even
(Angle DBF is 35 degrees with that logic)
All triangles add up to 180 degrees
(Angle is 55 degrees because of that)
I might be incorrect, but I think its 55
Which expression is equivalent to the following complex fraction?
CO (
이고
X X
2
X-
2x
글
2x-2
X
12x
x-1
44 minutes left please help !!!!!!
Answers
Answer:
\( \frac{x - 1}{2x} \)
Step-by-step explanation:
This is a correct answer.
what is the equivalent fraction of 13%
Answers
3 miles is the same as how many kilometers?
Hint: 1 mi≈ 1.6 km
Round your answer to the nearest tenth.
Answers
Answer: 4.8
Step-by-step explanation:
Which formula defines a sequence
\(f(1) = 2\)
\(f(2) = 6\)
\(f(3) = 10\)
\(f(4) = 14\)
\(f(5) = 18\)
![Which formula defines a sequence [tex]f(1) = 2[/tex][tex]f(2) = 6[/tex][tex]f(3) = 10[/tex][tex]f(4)](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/RcC8ic2l0gOfZKlQWkTh8aZPASdb6qC6.jpeg)
Answers
Given:
Values of function at some points is
\(f(1)=2,f(2)=6,f(3)=10,f(4)=14,f(5)=18\)Required:
We will find sequence corresponding given condition.
Explanation:
We will check by options
In option 2 we can check the values
\(\begin{gathered} f(1)=2,f(n)=4+f(n-1)\text{ }for\text{ }n\ge2 \\ At\text{ }x=2 \\ f(2)=4+f(1) \\ f(2)=4+2 \\ f(2)=6 \\ At\text{ x=3} \\ f(3)=4+6 \\ f(3)=10 \\ At\text{ x=4} \\ f(4)=4+10 \\ f(4)=14 \\ At\text{ x=5} \\ f(5)=4+14 \\ f(5)=18 \end{gathered}\)Answer:
Hence, sequence in option B is correct.
4. Which of the following angles is vertical to angle /DEB?
A
C
109°
E
D
B
Answers
Answer:
A
Step-by-step explanation:
ובת תום
Kristine is twice her brother's age plus 2 years. 4 years ago, the sum of their ages was 21
use the information to write an equation to determine kristine's brother's age
Answers
Answer:
2x+2-4=21-x
I reread the question and hopefully this is the correct answer.
Answer:
2x-2=21
Step-by-step explanation:
2x+2-4=2x-2. Age of Kristine 4 years ago. The sum of there ages =21
2x-2=21
what is the answer to the question?
Answers
Using logic concepts, the correct statement is given by:
\((p \vee \neg p) \wedge \neg q\). FALSE.
What are the events in this problem?The events are:
Event P: Henry is wearing a red shirt.Event Q: Henry is wearing khaki shirts.The statement is:
Henri is wearing a red or blue shirt today with jeans.
A red or blue shirt can be represent by p or not p, that is:
\((p \vee \neg p)\)
Jeans is not khaki, hence the second part is:
\(\neg q\)
Combining the statements, we have that the expression is:
\((p \vee \neg p) \wedge \neg q\)
Since p and q are true, \(\neg q\) is false, and the entire statement is false. Hence the correct option is:
\((p \vee \neg p) \wedge \neg q\). FALSE.
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If 18% of a $3,200.80 monthly net income is allotted for clothing, how much money is allotted for clothing in one year?
Answers
Answer:
Step-by-step explanation:
18% of $3200.80 = $576.144.
$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.
2. The population of a town was 7,250 in 2014
and 7,375 in 2015. What was the percent
increase from 2014 to 2015 to the nearest
tenth of a percent?
A) 1.5%
B) 1.6%
C) 1.7%
D) 1.8%
E) 2.0%
E
Answers
The percentage change of the population is P = 1.7 %
Given data ,
To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.
Population increase = 7,375 - 7,250 = 125
Percent increase = (Population increase / Initial population) * 100
Percent increase = (125 / 7,250) * 100 ≈ 1.7241
Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.
Hence , the percentage change is P = 1.7 %
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By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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A motorboat travels 189 kilometers in hours going upstream and 693 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water: km/h
Rate of the current: km/h
Answers
Answer:
rate of the boat in still water: 81 km/h
rate of the current: 18 km/h
Step-by-step explanation:
Rate of the boat in still water:81 km/h
Rate of the current: 18km/h
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.
Given
b= speed of boat in still water c=speed of current
"boat travels 693 kilometers in 7 hours going downstream" Going downstream, the boat travels b+c km per hour. b+c km/hr = 693 km/7hr = 99 km/hr
b+c=99
"boat travels 189 kilometers in 3 hours going upstream" Going upstream, the boat travels b-c km per hour. b-c km/hr = 189 km/3hr = 63 km/hrb-c=63
Add the equations together to eliminate the c terms: b+c=99 b-c=63 2b = 162, therefore, b= 81
b+c= 99, so c = 99 - b= 18
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