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Range=2,-2,3,0
Related Questions
1. Contaminated water is subjected to a cleaning process. The concentration of the
pollutants is initially 5 mg per liter of water. If the cleaning process can reduce the
pollutant by 10% each hour, define a function that can represent the concentration
of pollutants in the water in terms of the number of hours that the cleaning process
has taken place.
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Answer:
The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.
Assuming that 1L of water weighs 1000 grams, we know that:
Mass of pollutants = 5mg = 0.005g.
Initial concentration = 0.005g/1000g = 0.000005
If we multiply this by 100%, we get the percentage:
0.000005*100% = 0.0005%
Now, the mass of pollutants decreases by 10% each hour.
So if initially, we have 5mg
After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).
After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.
And so on, then after n hours, the mass of pollutants will be:
M(n) = 5mg*(0.9)^n
Or we can write this in grams as:
M(n) = 0.005g*(0.9)^n
Then the concentration as a function of time in hours will be:
C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n
Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:
c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)
The function that represents the concentration of polution in the water as a function of hours is:
c(n) = 0.0005%*(0.9)
Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.
Answers
Answer:
9.9%
Step-by-step explanation:
Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
9.9%, which could be rounded to 10% or 9%.
How much tax is withheld from $45,580 if the tax rate is 4%?
Answers
Answer:
1,823.20
Step-by-step explanation:
I'm smart!
A municipal bond service has three rating categories (A, B, and C). Suppose that in the past year, of the municipal bonds issued throughout the United States, 70% were rated A, 20% were rated B, and 10% were rated C. Of the municipal bonds rated A, 50% were issued by cities, 40% by suburbs, and 10% by rural areas. Of the municipal bonds issued B, 60% were issued by cities, 20% by suburbs, and 20% by rural areas. Of the municipal bonds rated C, 90% were issued by cities, 5% by suburbs, and 5% by rural areas. a. If a new municipal bond is to be issued by a city, what is the probability that it will receive an A rating? b. What proportion of municipal bonds are issued by cities? c. What proportion of municipal bonds are issued by suburbs?
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Answer:
(a) The probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b) Thus, the probability of municipal bonds issued by suburbs is 0.325.
Step-by-step explanation:
The data provided is as follows:
P (A) = 0.70
P (B) = 0.20
P (C) = 0.10
P (c | A) = 0.50
P (s | A) = 0.40
P (r | A) = 0.10
P (c | B) = 0.60
P (s | B) = 0.20
P (r | B) = 0.20
P (c | C) = 0.90
P (s | C) = 0.05
P (r | C) = 0.05
(a)
The Bayes' theorem states that the conditional probability of an event Y[tex]_{i}[/tex] given that another event X has already occurred is:
[tex]P(Y|X)=\frac{P(X|Y)P(Y)}{\sum\limits_{i} {P(X|Y_{i})P(Y_{i})}}[/tex]
Compute the probability that the new municipal bond issued will receive an A rating given that it was issued by a city as follows:
[tex]P(A|c)=\frac{P(c|A)P(A)}{P(c|A)P(A)+P(c|B)P(B)+P(c|C)P(C)}[/tex]
[tex]=\frac{(0.50\times 0.70)}{(0.50\times 0.70)+(0.60\times 0.20)+(0.10\times 0.90)}\\\\=\frac{0.35}{0.56}\\\\=0.196[/tex]
Thus, the probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b)
The law of total probability states that:
[tex]P(X)=\sum\limits_{i} {P(X|Y_{i})}[/tex]
Compute the probability of municipal bonds issued by suburbs as follows:
[tex]P(s)=P(s|A)P(A)+P(s|B)P(B)+P(s|C)P(C)[/tex]
[tex]=(0.40\times 0.70)+(0.20\times 0.20)+(0.10\times 0.05)\\\\=0.28+0.04+0.005\\\\=0.325[/tex]
Thus, the probability of municipal bonds issued by suburbs is 0.325.
Please help not sure how to do thIs see attached below
Answers
Answer:
7 in 1/2 for Y and 6 in 1/2 for X
Step-by-step explanation:
you can not go up nine so split it in half and add them on to X Y
and PS I am in 7th grade I tried my best and do you want to be friends ? my name is Ayden Hickle.
Sports. The path of a particular punt follows the quadratic function where is the height of the ball in yards and corresponds to the horizontal distance in yards. Assume corresponds to midfield (the yard line). For example, corresponds to the punter's own yard line, whereas corresponds to the other team's yard line. a. Find the maximum height the ball achieves. b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.
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The question is incomplete. The full question is below.
The path of a particular punt follows the quadratic function
[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]
where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards. Assume x=0 corresponds to midfield (the 50 yards line). For example, x=20 corresponds to the punter's own 30 yard line, whereas corresponds to the other team's 30 yard line.
a. Find the maximum height the ball achieves.
b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.
Answer: a. Maximum height = 50
b. Horizontal distance = 40
Step-by-step explanation: A quadratic function has its maximum or minimum point on its vertex.
When the function is negative, function has a maximum point.
The quadratic function h(x) is written in vertex form, meaning the coordinate of vertex is explicit in the function.
General vertex form: [tex]f(x)=A(x-h)^{2}+k[/tex]
A is vertical scaling parameter
(h,k) are the coordinates of vertex
So, the quadratic function for the height for the ball:
[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]
shows its vertex:
(h,k) = (25,50)
a. The maximum height the ball achieves the maximum value corresponds to the y-axis, which means, maximum height is 50 yards.
b. Horizontal distance is when h(x)=0, so:
[tex]\frac{-1}{8}(x-25)^{2}+50=0[/tex]
[tex]\frac{-1}{8}(x-25)^{2}=-50[/tex]
[tex](x-25)^{2}=400[/tex]
[tex]x^{2}-50x+625=400[/tex]
[tex]x^{2}-50x+225=0[/tex]
Solving quadratic equation:
[tex]x_{1}=\frac{50+\sqrt{1600} }{2}[/tex] = 45
[tex]x_{2}=\frac{50-\sqrt{1600} }{2}[/tex] = 5
When ball is kicked, it is in position 5. When is caught, is position 45. So, distance the balls covers is 40 yards.
4.8 Twitter users and news, Part I: A poll conducted in 2013 found that 55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.6%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context. (please round all percentages to 2 decimal places)
Answers
Answer: Required 99% confidence interval : (48.30%, 61.7%)
Step-by-step explanation:
Confidence interval for PROPORTION: [tex]p\pm z^* \times S.E.[/tex], where p = sample proportion , z* = two-tailed critical z-value and S.E. = standard error.
As per given: p=55%
Critical z-value for 99% confidence = 2.576
S.E. = 2.6%
Then, required confidence interval :
[tex]55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)[/tex]
Required 99% confidence interval : (48.30%, 61.7%)
the diagonals of a rhombus are in the ratio 3 :4 if the longer diagonals is of 12 cm then find the area of rhombus.
Answers
Answer:
Area= 54 cm^2
Step-by-step explanation:
Recall that a rhombus is given by the product of its two diagonals (d1 and d2) divided by 2.
Area = d1 * d2 / 2
So in our case, the longer diagonal is 12 cm long, and the shortest one should be in the ratio 3:4, therefore:
3 /4 = d2 / d1
3 / 4 = d2 / 12
d2 = 3 * 12 /4
d2 = 3 * 3
d2 = 9 cm
Then we can now calculate the Area of the rhombus as;
Area = d1 * d2 / 2 = 12 * 9 / 2 = 54 cm^2
Slope : 3/1 through (3,-1)
Answers
Answer: y=1/3x or y−1=1/3(x−3)
Step-by-step explanation:
There must be at least 20 club members present in order to hold a meeting.
Answers
Answer:
Are you trying to create a meeting?
Step-by-step explanation:
If u are i can help? :)
Answer two questions about Equation A and B
A. X/4+1
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80 POINTS, I WILL MARK BRAINLYEST, LEGIT JUST 4 QUESTIONS. PLEASE ANSWER WITH WORK OR NO POINTS FOR YOU!!!!
Television sizes are determined by the length of their diagonal measure. Michael just bought a new television. The height of the television is 37 inches and the length is 71 inches.
Using the Pythagorean Theorem, what is the size of Michael’s new television? Round your answer to the nearest whole inch (whole number).
Part A: What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?
Part B: Set-up your equation by substituting the correct numbers into the Pythagorean Theorem formula.
Part C: Solve for the missing length rounded to the nearest whole number. Remember to show ALL work for each step.
Part D: What is the size of the television rounded to the nearest whole inch (whole number)? REMEMBER: We’re looking for the length of the diagonal, as that is the measurement used to determine TV Sizes.
Answers
Answer:
see below
Step-by-step explanation:
given: size of television is height = 37 in, length = 71 in.
A. using Pythagorean theorem:
parts given are legs which is the sides
looking for the hypotenuse.
B. formula:
a² + b² = c² or H² + L² = D²
where H = height = 37
L = length = 71
D = diagonal (which is req'd)
C. D² = 37² + 71²
D = [tex]\sqrt{1369+ 5041}[/tex]
D = [tex]\sqrt{6410}[/tex]
D = 80 in (missing length)
D. size of television:
37 x 71 in
Diagonal is 80 in
hope it helps and good luck!
MP bisects ∠BMS. If m∠BMP = 2x + 9 and m∠BMS = 7x – 3, find the value of m∠PMS
Answers
Answer:
Step-by-step explanation:
If MP bisects ∠BMS, then the line MP divides <BMS equally;
The adition postulate if therefore true;
<BMP +< PMS = <BMS and <BMP = < PMS
The equation becomes;
<BMP +< BMP= <BMS
2 <BMP = <BMS
2(2x+9) = 7x - 3
4x+18 = 7x-3
collect like terms
4x-7x = -3-18
-3x = -21
x = 21/3
x = 7
Since <BMP = < PMS 2x+9
< PMS = 2(7)+9
< PMS = 14+9
< PMS = 23
Hence the value of < PMS is 23
3. At San Antonio Middle School, 3 out of 7 students said they would vote in the Student Council election. If there are 350 students at the school, what is a good prediction of how many students will vote?
Answers
Answer:
150 students
Step-by-step explanation:
3/7 × 350 = 150
x-intercept=3, y-intercept=-4 put into slope intercept form
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y = mx + c
y intercept= (0,-4) , x intercept = (3,0)
m = (y2-y1)/(x2-x1)
m = (0-(-4))/(3-0)
m = 4/3
0 = (4/3)(3)+ c
c = -4
Thus, the equation is y = 4/3 x -4
Hope it helps :)
Mark it as Brainliest answer pls :)
PLZ ANSWER MY QUESTION.YOU WILL BECOME BRAINLIEST. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are and Find the possible lengths of the third side.
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Answer:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.
SOLVE FOR D
S=D/T
THANK YOU
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Which graph appears to represent a quadratic function?
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HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE please?
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9414 1404 393
Answer:
24. 5
25. 0
26. -7
27. 1
Step-by-step explanation:
When you're asked to find f(n), locate n on the x-axis, then move up or down along the grid line until you meet the curve. Then move horizontally to the f(x) axis and read the value from that.
This process is illustrated in the attachment.
__
To find f(x) = n, reverse the process. Locate n on the f(x) axis, then move horizontally to the curve, then vertically to the x-axis. That is the value of x you're looking for.
_____
For this graph, and many unmarked graphs, it is often reasonable to assume each grid square is 1 unit in either direction. (The graph title or axis labels may tell you differently.)
Siri round each number to the place of the underlined digit 7.158 The underlined number is five
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What is the domain of the function
f(x) = -4 log2 (x + 3) – 6
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Answer:
Domain: (-infinity,infinity)
Step-by-step explanation:
You're welcome. :)
(I couldn't write the symbols) So I wrote infinity. Hopefully I helped!
What is 38% of 232? around to the nearest tenth.
Answers
Answer: 88.2
..........................
Find the value of x. PLEASE HELP - test tomorrow
The answer is 62
I need to show my work.
THANK YOU!!!!!
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Answer:
This is easy just like the other one you posted before
b+53+245=360
b+298=360
b=360-298
b=62
Answer:
62
Step-by-step explanation:
360 degrees is the total … You get the point.
360 degrees - 245 degrees
= 115 degrees
Now, we go onto the angle
The total measure of the angle is 115 degrees
The angle has been split into two angles. On of the angles measure is 53 degrees. To find the measure of the other angle, you have to subtract the measure of the angle that was given 53 degrees) by the total measure (115 degrees):
115 degrees - 53 degrees
= 62 degrees
Hope this helped you!
Do well on your test!!!
the sum of x and 7 .............
Answers
Answer:
7x
Step-by-step explanation:
A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?
(x, y) → (x – 3, y + 5)
(x, y) → (x – 3, y – 5)
(x, y) → (x + 3, y – 5)
(x, y) → (x + 3, y + 5)
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You have to multiple x time -3 & y times 5 which would give you X - 3 and Y + 5
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
Find the value of MN if AB=18 cm, BC=14.4 cm, and LM=24 cm ABCD~LMNO
Answers
Answer:
14.4
Step-by-step explanation:
ABCD~LMNO
look, M and N are in the places of B and C
Find the perimeter of the rectangle
(Let h = 4 cm and w =15 cm.)
Answers
Answer:
P= 38cm
Step-by-step explanation:
4+4+15+15=38cm
What is the product of 8.0 x 10^2 and 7.4 x 10^2 expressed in scientific notation?
Answers
Answer:
5.92 × 10^5
Step-by-step explanation:
8.0 × 10²= 800
7.4 × 10²= 740
800 × 740 = 592000
592000 in scientific notation looks like this 5.92 × 10^5
Hope this helps!!
Answer:
5.92 x 10^5
Step-by-step explanation:
The product of the two is 592000 and to do scientific notation you put the decimal after the first number and however many numbers are after that decimal is the number 10 is to the power of. To know if the exponent after the ten is positive or negative if you move the decimal to the right in order to make it the original number it is positive, and if you have to move it to the left then you have a negative exponent after the 10.
Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. what characteristic of data will imply an association between the two variables?
Answers
Answer:
b
Step-by-step explanation:
pls brainliest
AnswAnswerer:
The relative frequencies add to 100% for each row.
Step-by-step explanation:
х2 + 3x = 8
Write the quadratic equation in standard form
Answers
Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
