Final answer:
While a correlation of 0.67 suggests a positive relationship between loud music and poor hearing, it does not confirm causation. Many factors contribute to hearing loss, and while loud music is a significant risk factor for noise-induced hearing loss, one cannot definitively conclude it causes poor hearing without considering other variables.
Explanation:
The correlation coefficient of 0.67 between poor hearing and loud music indicates a positive and moderate relationship between the two variables, suggesting that people who listen to loud music tend to have poorer hearing. However, correlation does not imply causation. While loud music can be one of the factors contributing to poor hearing, it is important to remember that other factors can also lead to hearing loss, such as age, genetics, infections, and other environmental noises. Therefore, while the correlation is significant, we cannot conclude with certainty that poor hearing is exclusively caused by listening to loud music.
Noise-induced hearing loss can indeed happen from prolonged exposure to sounds of high intensity. For example, listening to music through earbuds at maximum volume, which can be around 100-105 decibels, increases the risk of hearing loss and can cause noise-induced hearing loss after 15 minutes of exposure. The impact of sound intensity on hearing health is undeniable, but when determining causality, a deeper investigation into other possible contributing factors must also be taken into account.
fractions greater than 1
Answer:
Anything with a numerator (top) greater then the denominater (bottom) here are some examples:
[tex] \frac{11}{2} [/tex]
[tex] \tfrac{8}{5} [/tex]
[tex] \frac{399}{7} [/tex]
[tex] \frac{6}{2} [/tex]
Hope this information helps my friend!
The function y = – 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?
The range of the function y = -3, graphed over the domain {x | -8 < x < 8}, is a singular value, which is y = -3.
Explanation:The question asks for the range of the function y = -3 which is graphed only over the domain {x | -8 < x < 8}. This function is a horizontal line, which means that for any value of x within the domain, the value of y will always be -3.
Therefore, the range of this function is simply the single value y = -3, because no matter what x-value we have (as long as it's between -8 and 8), the y-value remains constant at -3.
Explain the Pythagorean Theorem
Answer:
Pythagorean theorem theorem that states that the sum of the squares of the two legs is equal to the square of the hypotenuse in a right triangle
Describe two real-world quantities that have a proportional linear relationship. Explain how you could change the situation to make the relationship nonproportional.
Answer:
Proportional: Mike, a plumber charges $5 per hour for his service.
Non-proportional: Mike charges a initial cost of $10 plus $3 for each hours of service.
Step-by-step explanation:
Let us assume that Mike, a plumber charges $5 per hour for his service.
So, the number of hours (h) of service and the total charge (C) are proportional, which is
C(h) = 5h ....... (1)
If the condition changes like, Mike charges an initial cost of $10 plus $3 for each hour of service.
Here, the equation that models the situation is
C(h) = 10 + 3h .......... (2)
Now, relation (1) is non-proportional. (Answer)
Final answer:
Real-world examples of directly proportional relationships include the relationship between distance and time at a constant speed, and cost and weight of fruit. These relationships become nonproportional when a base charge or flat fee is introduced, respectively.
Explanation:
Two real-world quantities that have a proportional linear relationship are speed and distance traveled in a given amount of time, assuming constant speed. For example, the farther you travel at a steady speed, the longer it takes. This relationship can be represented by y = kx, where y is the distance, x is the time, and k is the constant speed.
To make this relationship nonproportional, we could introduce a starting fee or base charge, making the total cost not just dependent on the distance but also an additional amount. Another example of a directly proportional relationship is the cost of fruit, where cost and weight are proportional (y = kx). By adding a flat packaging charge regardless of weight, the relationship between cost and weight becomes nonproportional.
11, 16, 12, 7, 23, 9, 5, 5 What is the median of the data?
Answer:
Step-by-step explanation:
add all numbers together
all of them should equal 88
then divide it by how many numbers there are. so 8.
this equals 11
The median of the given data set, 11, 16, 12, 7, 23, 9, 5, 5, is 10. This is found by arranging the data in numerical order, identifying the two middle numbers, and finding their average.
Explanation:The subject of this question is the calculation of the median of a given data set in mathematics. The data given is: 11, 16, 12, 7, 23, 9, 5, 5. To find the median, the data must first be arranged in numerical order from smallest to largest. Once arranged: 5, 5, 7, 9, 11, 12, 16, 23, it can be seen that this data set contains an even number of data points.
In these instances, the median is found by taking the average of the two middle numbers. Here, the middle numbers are 9 and 11. The median is found by adding these numbers together and dividing by 2. Thus, the median for this data set is 10.
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How do I do this
X+y=-4
3x-6y=15
Answer:
x=-1, y=-3. (-1, -3).
Step-by-step explanation:
x+y=-4
3x-6y=15
---------------
x=-4-y
3(-4-y)-6y=15
-12-3y-6y=15
-12-9y=15
9y=-12-15
9y=-27
y=-27/9
y=-3
x+(-3)=-4
x-3=-4
x=-4+3
x=-1
How to find the surface area of 3D shapes
Answer:
First, find the area of each side, and the just add them together. It sounds like a lot of work, but getting the question right is totally worth it.
Step-by-step explanation:
The steps to find the Surface Area of different 3D shapes is discussed below:
What is Surface Area?Surface area refers to the total area of the outer surface of a three-dimensional object.
To find the surface area of 3D shapes, you need to calculate the sum of the areas of all the individual faces of the shape.
The specific formulas for each shape vary, so let's go through some common 3D shapes and their surface area formulas:
1. Cube:
The surface area of a cube is given by the formula: SA = 6s², where s² is the area of square faces.
2. Rectangular Prism:
The surface area of a rectangular prism is given by the formula: SA = 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism.
3. Cylinder:
The surface area of a cylinder is given by the formula: SA = 2πrh + 2πr², where 2πrh is area of side circular and 2πr² is Area of base.
4. Sphere:
The surface area of a sphere is given by the formula: SA = 4πr², where r is the radius of the sphere.
5. Cone:
The surface area of a cone is given by the formula: SA = πr(r + √(r² + h²)), where r is the radius of the base and h is the height of the cone.
6. Pyramid:
The surface area of a pyramid depends on the shape of its base. For example, the surface area of a square pyramid is given by the formula: SA = l² + 2lw, where l is the slant height and w is the base width.
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A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails and each large box has 400 nails. The contractor bought 2 more small boxes than large boxes, which altogether had 1950 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answer:
Let x = the number of small boxes purchased
Let y = the number of large boxes purchased
150x+400y&=1950
x=y+2
The system of equations is as follows:
Equation 1: Total nails from small boxes = 150s
Equation 2: Total nails from large boxes = 400l
Equation 3: Total boxes = s + l
Equation 4: Total nails = 150s + 400l = 1950
To determine the number of small boxes and large boxes the contractor purchased, we can set up a system of equations. Let's define the variables: let "s" represent the number of small boxes and "l" represent the number of large boxes.
Now, let's break down the information given into equations:
Equation 1: The total number of nails from the small boxes is 150 times the number of small boxes, which is 150s.
Equation 2: The total number of nails from the large boxes is 400 times the number of large boxes, which is 400l.
Equation 3: The total number of boxes is the sum of small and large boxes, so the total boxes are s (number of small boxes) plus l (number of large boxes).
Given that the contractor bought 2 more small boxes than large boxes and the total number of nails purchased is 1950, we can express this as an equation:
4. Equation 4: The total number of nails purchased is 1950.
Now, we can write the system of equations:
Equation 1: 150s
Equation 2: 400l
Equation 3: s + l
Equation 4: 150s + 400l = 1950
In this system, Equation 1 represents the total number of nails from the small boxes, Equation 2 represents the total number of nails from the large boxes, Equation 3 represents the total number of boxes, and Equation 4 represents the total number of nails purchased.
To find the solution, we can solve this system of equations using various methods, such as substitution or elimination, to determine the values of "s" and "l," representing the number of small and large boxes the contractor purchased, respectively.
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A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o
the sidewalk
a 400 ft
c 250 ft
b. 500 ft
d. 650 ft
The length of side walk is 500 feet
Solution:
Given that, A rectangle park measures 300 ft by 400 ft
Length = 300 feet
Width = 400 feet
A sidewalk runs diagonally from one comer to the opposite corner
We have to find the length of side walk
Which means, we have to find the length of diagonal of rectangle
The diagonal of rectangle is given by formula:
[tex]d = \sqrt{w^2+l^2}[/tex]
Where,
d is the length of diagonal
w is the width and l is the length of rectangle
Substituting the values in formula, we get
[tex]d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500[/tex]
Thus length of side walk is 500 feet
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
Answer:
Please read the answer below.
Step-by-step explanation:
To eliminate the fractions before solving, each term can be multiplied by:
-3/4m by 4 or any multiple of 41/2 by 2 or any multiple of 22 it's a whole number and it's not necessary to eliminate the fraction1/4m by 4 or any multiple of 4100/60 is exactly 1.66666666667. When I do long division my answer comes up as 1.6 with the decimal repeating, am I doing anything wrong
Answer:
I don't think you are doing anything wrong. Just ignore it and write the repeating decimal. If you're asked to do it, round it up instead.
Answer:
No you aren't doing anything wrong, it's just that the calculator is rounding the answer. So yes 1.6 repeating is correct
For any two integers x + y, |x+y|=|x|+|y|
Answer:
Sometimes true.
Step-by-step explanation:
The statement is sometimes true and sometimes false depending on the values of x and y.
Here's an example that shows it to be true.
|x+y|=|x|+|y|
Let x = 5 and y = 6.
|x+y|=5 + 6 = 11
|x|+|y| = |5| + +|6| = 5 + 6 = 11
In this case, both sides equal 11, and the expression is true.
Here's an example that shows it to be false.
|x+y|=|x|+|y|
Let x = -5 and y = 5.
|x+y|= |-5 + 5| = |0| = 0
|x|+|y| = |-5| + |5| = 5 + 5 = 10
The left side equals 0, and the right side equals 10. The sides are different, and the expression is false.
Round the number 283.57 to the ones place
Answer:
284
Step-by-step explanation:
when the number to the left is 5 and up then the number is rounded up
The round off is 284.
what is rounding off?
Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
given number:
283.57
To round off nearest ones place we have to focus on the place value of tenth place.
If the number at tenth place value is greater than 5 then round off will be 284 otherwise if it less than 4 then the round off will be 283
hence, the rounding off is 284.
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A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
The value of f(1) is 31
Solution:
Given that the sequence is defined by formula:
[tex]f(n+1) = f(n) - 3[/tex]
To find: f( 1 )
Also given that,
[tex]f(4) = 22[/tex]
So, we can say,
[tex]f(4) = f(3+1) = 22[/tex]
Substitute n = 3 in given formula
[tex]f(3+1) = f(3) - 3\\\\f(4) = f(3) - 3\\\\Substitute\ f(4) = 22\\\\22 = f(3) -3\\\\f(3) = 25[/tex]
Now we got, f(3) = 25
Use the similar steps to find for f(2)
Substitute n = 2 in given function
[tex]f(2+1) = f(2) - 3 \\\\f(3) = f(2) -3\\\\25 = f(2) - 3\\\\f(2) = 28[/tex]
Use the similar steps to find for f(1)
Substitute n = 1 in given function
[tex]f(1+1) = f(1) - 3\\\\f(2) = f(1) - 3\\\\28 = f(1) - 3\\\\f(1) = 28+3\\\\f(1) = 31[/tex]
Thus value of f(1) is 31
this is worth 25(50)points please answer this is asap! there are three questions!
Answer:number 1 is x<6750number 2 is $22.05 number 3 is $105
Step-by-step explanation:
16
Select the correct answer.
For Al, its atomic number is 13 and its mass number is 27. How many neutrons does it have?
O
A.
13
ه
ن
م
نا
40
Reset
Next
Answer:
14.
Step-by-step explanation:
The number of neutrons = the mass number - atomic number
= 27 - 13 = 14.
The correct answer is that Aluminium (Al), with an atomic number of 13 and a mass number of 27, has 14 neutrons.
To find the number of neutrons in an atom, one subtracts the atomic number (which is the number of protons) from the mass number (which is the sum of the number of protons and neutrons).
For Aluminium:
- The atomic number (Z) is 13, which means it has 13 protons.
- The mass number (A) is 27, which means the total number of protons and neutrons is 27.
The number of neutrons (N) can be calculated using the formula:
[tex]\[ N = A - Z \][/tex]
[tex]\[ N = 27 - 13 \][/tex]
[tex]\[ N = 14 \][/tex]
Therefore, Aluminium has 14 neutrons.
A baby goes to sleep at 8 p.m., wakes up after two hours, stays awake for 15 minutes, and then goes back to sleep. If the baby repeats this sleep pattern until she is awakened at 6 a.m., what percent of the time from 8 p.m. to 6 a.m. was the baby asleep?
Answer:
Step-by-step explanation:
If the baby repeats this sleep pattern until she is awakened at 6 a.m., what ... We have 10 hours between 8PM and 6AM = 10 * 60 = 600 minutes ... Awake 12:15 - 12:30 ... There are 4 periods of 2 hour sleep and 1 period of 1 hour sleep = 4*2(60) + 1(60) ... So 540/600 = 54/60 = 9/10 = 90% of the time asleep.
Answer:
87.5%
Step-by-step explanation:
I am not sure how to set this up....so I am just gonna try to figure this a different way....without any formula
8 p.m - 10 pm.......awake for 15 minutes
10 pm - 12 am......awake 15 minutes
12 am - 2 am.......awake 15 minutes
2 am to 4 am.....awake 15 minutes
4 am to 6 am....awake 15 minutes
so from 8 pm to 6 am....that is a total of 10 hrs.....and in those 10 hrs, the baby was awake 5(15) = 75 minutes.....change 10 hrs to minutes.....1 hr = 60 min...so 10 hrs = (10 * 60) = 600 minutes
so in 600 minutes, the baby was awake 75 minutes.....that means the baby was asleep (600 - 75) = 525 minutes
525/600 = 0.875 = 87.5% <=== baby was asleep
or maybe this way....for every 2 hrs, the baby was awake 15 minutes....means the baby was asleep (120 - 15) = 105 minutes.
2 / 105 = 10 / x
2x = 1050
x = 1050/2
x = 525 minutes.....so the baby was asleep 525 minutes out of 600 minutes.
525/600 = 0.875 = 87.5%
I am getting the same answer either way
Bradley and 23 of his classmates went on a trip to the aquarium. There are 8 more boys than girls on the trip. Write a system of equations to model the problem. Then solve the system algebraically. How many boys and girls were on the trip?
Answer:
Step-by-step explanation:
Total number on the trip is 24
Let the number of girls be x
Then the boys are x + 8
So... x + x + 8 = 24
2x + 8 = 24.......... This is the equation
2x = 24 - 8
2x = 16
x = 16/2
x = 8
Number of girls = 8
And number of boys = x + 8
Which is = 8+8 = 16
There were 8 girls and 16 boys on the trip.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Bradley and 23 of his classmates went on a trip to the aquarium.
∴ There are a total of 24 students.
There are 8 more boys than girls on the trip.
Assuming the no.of girls to be x, hence no. of boys is (x + 8).
So, x + (x + 8) = 24.
2x + 8 = 24.
2x = 16.
x = 8.
So, no. of girls on the trip is 8, and no. of boys on the trip is (8 + 8) = 16.
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Show step by step for equation -8/3x + 4(x + 9/4) = -2/3(x + 12/8) + 3
Answer:
see attached picture please
Factor the polynomial: 2x(x - 4) + 7(x-4)
O A. 14x(x-4)
O B. (x – 4)(2x- 7)
O C. (2x - 4)(x+7)
O D. (x – 4)(2x+7)
Answer:
D
Step-by-step explanation:
Given
2x(x - 4) + 7(x - 4) ← factor out (x - 4) from each term
= (x - 4)(2x + 7) → D
This year's Super Bowl will be the 54th. There have been 53 Super Bowls and
the NFC has won 3 more Super Bowls then the AFC. How many games did each
conference win?
Answer:
Therefore NFC won 28 games and AFC won 25 games.
Step-by-step explanation:
i) let the number of Super Bowls won by NFC be x
ii) let number of Super Bowls won by AFC be y
iii) therefore it is given that x + y = 53
iv) and also it is given that x = y + 3
v) substituting the equation in iv) into the equation in iii) we get
(y +3) + y = 53 ⇒ 2y = 50 therefore y = 25.
vi) substituting the value of y from v) into the equation iv) we get
x = 25 + 3 = 28.
Therefore NFC won 28 games and AFC won 25 games.
To solve this mathematics problem, we formulate an equation based on the information that total Super Bowls were 53 and NFC won 3 more than AFC. By solving the equation, we find that NFC won 28 games and AFC won 25 games.
Explanation:To solve this problem, let's start with the total number of games, which is 53. If the NFC has won 3 more Super Bowls than the AFC, that means the number of games won by both conferences adds up to 53. Let's denote the number of games won by the AFC as 'x'. So, the equation will be:
x + (x + 3) = 53By combining like terms, we get:
2x + 3 = 53Subtracting 3 from both sides, we have:
2x = 50Finally, when we divide by 2, we solve for x:
x = 25This means that the AFC has won 25 games, and the NFC, having won 3 more, has won 28 games.
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You estimate that your friend is 50 inches tall. That actual height of your friend is 54 inches. Find the percent error.
To find the percent error, calculate the absolute difference between the estimated height and the actual height, and divide it by the actual height. Finally, multiply the result by 100 to get the percentage.
Explanation:To find the percent error, we need to calculate the absolute difference between the estimated height and the actual height, and then divide it by the actual height.
Finally, we multiply the result by 100 to get the percentage.
Step 1: Determine the difference between estimated and actual height.
Difference = Actual height - Estimated height
Difference = 54 inches - 50 inches
Difference = 4 inches
Step 2: Calculate the absolute value of the difference.
Absolute value of the difference = |4 inches|
Absolute value of the difference = 4 inches
Step 3: Divide the absolute difference by the actual height and multiply by 100% to get the percent error.
Percent Error = (Absolute difference / Actual height) × 100%
Percent Error = (4 inches / 54 inches) × 100%
Percent Error ≈ 7.41%
Therefore, the percent error in your estimation of your friend's height is approximately 7.41%.
The perimeter of a sand volleyball court is 50 meters. It is 9 meters wide. How long is it?
Answer:
16
Step-by-step explanation:
You have to find y in the answer
Final answer:
The volleyball court is 16 meters long, which was calculated by using the formula for the perimeter of a rectangle and the given width of 9 meters.
Explanation:
To find the length of the volleyball court, we need to use the formula for the perimeter of a rectangle which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since we know the perimeter is 50 meters and the width is 9 meters, we can substitute these values into the formula to solve for the length l.
First, we calculate the total contribution of the width to the perimeter, which is 2w, so 2 times 9 meters = 18 meters. We then subtract this from the total perimeter to find the combined contribution of both lengths: 50 meters - 18 meters = 32 meters. Finally, we divide by 2 to find the length of one side: 32 meters / 2 = 16 meters.
Therefore, the volleyball court is 16 meters long.
Match the system of equations with their solution
Maria is starting a small business selling flowers. She has to pay $150 for a vendor’s permit. Each bouquet costs her $7 and she sells them for $15. How many bouquets must Maria sell to break even?
22 bouquets must Maria sell to break even.
bouquet costs per unit $7
vendor permit $150
number of bouquet need to sell to meet break even 22 item (150/7)
22 item need to selled to meet the break even.
What is sale?A sale is a deal involving two or more people when tangible or intangible commodities, services, or assets are exchanged for cash. A seller may occasionally receive assets in addition to money.
In the financial markets, a sale can also be defined as an agreement between a buyer and a seller specifying the purchase price and delivery details of a financial security.
A sale is essentially a contract between a seller of a certain good or service and a buyer who is willing to pay for that good or service, regardless of the environment.
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6m-2(7+3m)>5(2m-3)-m
Answer:
Therefore the value is
[tex]m<\dfrac{1}{9}[/tex]
Step-by-step explanation:
Given:
[tex]6m-2(7+3m)>5(2m-3)-m[/tex] ....Given
Step 1. Applying Distributive Property A(B+C)=AB+AC we get
[tex]6m-2\times7-2\times 3m>5\times 2m-5\times 3-m[/tex]
[tex]6m-14-6m>10m-15-m\\-14>9m-15[/tex]
Step 2. Add 15 both the side
[tex]-14+15>9m-15+15\\1>9m[/tex]
Step 3. Dividing both the side by 9
[tex]\dfrac{1}{9}>\dfrac{9m}{9}\\\\\dfrac{1}{9}>m[/tex]
Therefore the value is
[tex]m<\dfrac{1}{9}[/tex]
trigonometry help (angles of evaluation and depression)
Answer:
240.3
Step-by-step explanation:
Remember SohCahToa for the trig. ratios. You always divide two sides.
'o' is opposite side. 'a' is adjacent side. 'h' is hypotenuse side.
Using alternating angles you can find the angle I marked blue (see diagram below). Because the 31° is parallel to the bottom side of the triangle, you can use alternating angles (Z pattern), where both 'insides' of the Z have the same measure.
The blue angle will be our angle of reference (angle we are talking about) represented by this symbol θ.
Since we need to find 'y', the opposite side, and we know 400ft is the adjacent side, use the tangent ratio.
tanθ = opposite / adjacent
tan31° = y / 400ft Substitute what you know.
y = (400ft)tan31° Isolate 'y'. Multiply 400ft and tan31°.
y = 240.344......ft Exact answer on calculator
y ≈ 240.3ft Answer rounded to nearest tenth
The nearest tenth is the first decimal. Since the second decimal is '4 or less', you round down, keeping the digit of the first decimal the same.
If the second digit was '5 or more', then you would round up.
| 4x +2|=10 confirm your solution using a graph or table
Answer:
x = -3 or +2
Step-by-step explanation:
Such an equation resolves into two equations. The argument of the absolute value function can be either positive or negative, so there is one equation for each case.
4x +2 = 10
4x = 8 . . . . subtract 2
x = 2 . . . . . divide by 4
4x +2 = -10
4x = -12 . . . subtract 2
x = -3 . . . . . divide by 4
The two solutions are x=-3 and x=2.
How would I solve (6r +3)2 and show my work?
Answer:
12r+6
Step-by-step explanation:
2(6r+3)
2(6r)+2(3)
12r+6
Rewrite the following expression using the distributive property and the GCF: 36+48
Answer:
12(3+4)
Step-by-step explanation:
Answer:
Etc: 12 34
Step-by-step explanation: