By using what we know about linear functions, we will see that the function that represents the hourly charges is y = $35*x + $20
We assume that the function that we must find is a linear function of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
x would be the time worked and y the corresponding price.
Then we have 3 points on the line:
(1, $55)(2, $90)(3, $125).We know that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is given by:
\(a = \frac{y_2 - y_1}{x_2 - x_1}\)
If here we use the two first points (or any two that you want) we will find the slope:
\(a = \frac{\$ 90 - \$ 55}{2 - 1} = \$35\)
Then the line is something like:
y = $35*x + b
To find the value of b we can use any one of the given points, for example the first one (1, $55) means that when x = 1, we must have y = $55.
Replacing that we get:
$55 = $35*1 + b
$55 - $35 = b = $20
Then the function is just:
y = $35*x + $20
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what is 2 1/4 +3 1/4
Answer: 5 2/4
Step-by-step explanation: you do not add the bottom numbers. You add 2+3=5 and then you add 1+1 that is 5 2/4
Answer:
5 1/2
Step-by-step explanation:
You have a common denominator so just add the fractions together. Then,add you whole numbers.
Carlos used a coordinate plane to design the patio shown. Each unit on the grid represents 1 meter. To buy materials to build the patio, he needs to know its perimeter. What is the perimeter of the patio?
A coordinate plane to design the patio the perimeter of the patio is 22 meters.
To calculate the perimeter of the patio, we need to add up the lengths of all the sides.
Given:
The design of the patio on the coordinate plane.
To find the perimeter of the patio, we need to determine the lengths of all its sides and then add them together.
Let's identify the coordinates of the vertices of the patio on the coordinate plane:
A(3, 2)
B(9, 2)
C(9, 7)
D(6, 7)
E(6, 4)
F(3, 4)
To calculate the length of each side, we can use the distance formula:
\(\[ \text{Length of a side} = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}} \]\)
Now let's calculate the length of each side:
Side AB: \(\(\sqrt{{(9 - 3)^2 + (2 - 2)^2}} = 6\)\)
Side BC: \(\(\sqrt{{(9 - 9)^2 + (7 - 2)^2}} = 5\)\)
Side CD: \(\(\sqrt{{(6 - 9)^2 + (7 - 7)^2}} = 3\)\)
Side DE: \(\(\sqrt{{(6 - 6)^2 + (4 - 7)^2}} = 3\)\)
Side EF: \(\(\sqrt{{(3 - 6)^2 + (4 - 4)^2}} = 3\)\)
Side FA: \(\(\sqrt{{(3 - 3)^2 + (2 - 4)^2}} = 2\)\)
Now, we can add up the lengths of all the sides to find the perimeter:
Perimeter = AB + BC + CD + DE + EF + FA
Perimeter = 6 + 5 + 3 + 3 + 3 + 2
Perimeter = 22
Therefore, the perimeter of the patio is 22 meters.
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The rectangular
classroom rug has an area of
110.5 square feet. What is the perimete
of the rug?
The perimeter of the rectangular rug is 10.75 square feet when the area of the rectangular rug is 110.5 square feet.
Given that,
The area of the rectangular classroom rug is 110.5 square feet.
We have to find what is the rug's perimeter.
In the picture we can see,
Breath is 13 feet.
Area of rectangle is length× breath.
110.5= l×13
110.5/13=l
l= 8.5
Perimeter of the rectangle is 2(l+b)
=2(8.5+13)
=2(21.5)
=10.75
Therefore, The perimeter of the rectangular rug is 10.75 square feet when the area of the rectangular rug is 110.5 square feet .
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This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
Responses
x = 33 because 180−147=33
x, = 33 because , 180 minus 147 equals 33
x = 62 because 147−85=62 and 85 + 62 = 147
x, = 62 because , 147 minus 85 equals 62, and 85 + 62 = 147
x = 95 because 180−85=95 and 85 + 95 = 180
x, = 95 because , 180 minus 85 equals 95, and 85 + 95 = 180
x = 118 because 180 − 147 + 85 = 33 + 85 = 118
In a triangle one side that lies on an extended line segment, statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct
What is a triangle?In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°
Given that,
A triangle, which has one interior angle 85° and one exterior angle 147°
Another exterior angle x = ?
It is already known that,
Sum of complementary angles are 180
So,
⇒ Y + 147 = 180
⇒ Y = 180 - 147
⇒ Y = 33
sum of all the interior angles of the triangle is 180°
X + Y + 85 = 180
X = 180 - 85 - 33
X = 62
Hence, the value of x is 62
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Solve for w.
14 + 3(–w + 6) = –11w
w =
Answer:
w = -4
Step-by-step explanation:
→Distribute the 3 to (-w + 6):
14 + 3(-w + 6) = -11w
14 -3w + 18 = -11w
→Add like terms:
-3w + 32 = -11w
→Add 11w to both sides:
8w + 32 = 0
→Subtract 32 from both sides:
8w = -32
→Divide both sides by 8
w = -4
Answer:
w= -4
work:
14-3w+18=-11w
32-3w=-11
-3w+11w=-32
8w=-32 divide by 8 then you will get your answer
w=-4
Ciara measured the length, x, of each of the insects she found underneath a rock. She recorded the lengths in the table below. Calculate an estimate of the mean length of the insects she found. Give your answer in millimetres (mm). Length (mm) 0≤x≤10 10≤x≤20 20≤x≤30 Frequency 5 6 9
The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).
To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.
Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.
Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.
Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.
The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.
Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.
This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.
Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.
Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.
Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).
Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).
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If 4^3rootx^10+(5x^3)^3root8x, what is the sum of in simplest form?
The sum of the expression 4∛(x¹⁰) + 5x³∛(8x) in the simplest form will be 14x³ ∛x.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 4∛(x¹⁰) + 5x³∛(8x)
Simplify the expression, then we have
⇒ 4∛(x¹⁰) + 5x³∛(8x)
⇒ 4∛[(x³)³ · x] + 5x³∛(2³ · x)
⇒ 4x³ ∛x + 10x³ ∛x
⇒ 14x³ ∛x
The sum of the expression 4∛(x¹⁰) + 5x³∛(8x) in the simplest form will be 14x³ ∛x.
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refer to question 2 from homework 8. if arnie, barney and carny agree to always bid $l, then on any given day, what is the probability that barney gets the car for $l when it is actually worth $l to him?
When they decide to bid the same then the probability of Barney getting the car is 1/3. The expected profit by Barney will be the difference amount of SL and SH.
Given:
if arnie, barney and carny agree to always bid $l,
, then on any given day, what is the probability that barney gets the car for $l when it is actually worth $l to him = ?
When they choose to place identical bids, Barney has a 1/3 chance of winning the automobile. The difference between SL and SH will represent Barney's anticipated profit.
Hence we get the required answer.
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A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.
Then descends at a rate of 2 feet per minute for 7 minutes. How far above the ground is the
balloon now?
When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.
20 - 14 = 6 feet
This means that the balloon is now 6 feet above the ground.
I hope I've helped! :)
if 4 -letterwords'' are formed using the letters a, b, c, d, e, f, g, how many such words are possible for each of the following conditions:(a) no condition is imposed.
The number of 4-letter words that can be formed without any condition imposed is 8,064.
To determine the number of 4-letter words that can be formed without any conditions, we can use the concept of permutations. Since we have 8 options (a, b, c, d, e, f, g) for each letter position, we can multiply the number of options for each position to find the total number of possibilities.
For the first letter position, we have 8 options to choose from. Similarly, for the second, third, and fourth positions, we also have 8 options each. Therefore, the total number of possibilities is:
8 options for the first position × 8 options for the second position × 8 options for the third position × 8 options for the fourth position = 8 × 8 × 8 × 8 = 8,064.
Hence, there are 8,064 possible 4-letter words that can be formed without any conditions imposed.
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
Answer:
The following equations are equivalent: 2 + x = 5, x + 1 = 4, and -5 + x = -2. These three options are A, B, and E.
To find equivalent equations, we can simplify them by using algebraic operations such as adding, subtracting, multiplying, or dividing both sides by the same number. Equivalent equations have the same value for x when we solve them.
For example, to simplify 2 + x = 5, we can subtract 2 from both sides and get x = 3. Similarly, to simplify x + 1 = 4, we can subtract 1 from both sides and get x = 3. To simplify -5 + x = -2, we can add 5 to both sides and get x = 3. Therefore, these three equations are equivalent because they have the same solution for x.
Step-by-step explanation:
$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?
Answer:
$25 for Adam and $75 for Hamza
Step-by-step explanation:
$100 will be divided to 3 + 1 = 4 parts
the dollars Adam received
= $100 × 1/4
= $25
the dollars Hamza received
= $100 × 3/4
= $75
-----------------------------------------------------------
the dollars Hamza give to Adam
= $75 × 25%
= $75 × 25/100
= $18.75
the dollars Adam have
= $25 + $18.75
= $43.75
the dollars Hamza have
= $75 - $18.75
= $56.25
the ratio
= 43.75:56.25
= 7:9
a car lose half of its value during it's first year of usage and there after loses 8% of its value in each year.calculate its value at the end of three years ( give it's value as the percentage of original value)
Let the original value be x.
After the first year, the value will decrease 50%, so, it will be 0.5x.
By the end of the second year, it will decrease other 8%, 0.08.
so:
0.5x*(1-0.08) = 0.46x
And by the end of the third year, will decrease 8% again, so:
0.46*(1-0.08) = 0.4232x
The price will be 42.32% of the original value.
find missing side of triangle, help!
Answer:
A √202km
Step-by-step explanation:
x²=11²-9²
x²=121-81
x²=202
√x²=√202
x=√202
At a party, the amount of people who ate meatballs was 10 less than of the total number of people. The number of people who ate meatballs was 26.
and solve an equation to find the number of people at the party. Let x represent the number of people at the party. Use pencil and paper. Write a one-step equation that has
the same solution.
Write an equation that represents the number of people at the party
PLEASE HELP DUE IN 5 minutesss
Answer:
36
Step-by-step explanation:
If its ten less, than just add ten.
10 + 26 = 36.
10 + 26 = x
x = 36
Good luck hope this helps!
The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
Total pieces of food eaten 57 153 90 food percentage* % % % simulated number of birds in flock for 2nd generation** * divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** multiply the food percentage for each flock by the total number of birds (30).
The food percentage would be 19%, 51% and 30%.
Given that we've done it
Number of meals consumed by X = 57
Food consumed by Y = 153.
Number of meals consumed by Z = 90
Total amount of meals consumed = 57 + 153 +90 = 300
Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %
flock food percentage Y =153/300 * 100 = 51 %
flock food percentage Z = 90/300 * 100 = 30 %
This means that the percentages are 19%, 51%, and 30%.
Based on the given information, we have:
Flock X ate 57 pieces of food.
Flock Y ate 153 pieces of food.
Flock Z ate 90 pieces of food.
The total number of pieces of food eaten is 300 (sum of the individual flock's food).
The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.
The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.
The food percentage for Flock Z is 90/300 = 0.3 or 30%.
The total number of birds for the second generation is 30 (given).
To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).
For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)
For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)
For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)
Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.
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Complete Question
Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE
Answer:
19 51 30
6 15 9
second part Is Y then X
Step-by-step explanation:
Which shows how to find the value of this expression when X=-2 and y = 5?
(3xy-22
32 (-2)
54
3(-2)6
54
32 (5)
(-2)*
3
(2) 654
Answer:
it's the first one
Step-by-step explanation:
I got it right on edge
The requried, expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.
What does simplification mean?In order to remove pointless terms, factors, or operations from an expression, arithmetic, and algebraic principles are applied. The objective is to get an expression that is simpler to use, manipulate, or solve. For instance, factoring, merging like terms, or applying the distributive property can all be used to simplify an algebraic statement.
Here,
Given expression,
= (3x³y⁻²)²
To find the solution of the above expression given value of x and y,
= (3(-2)³(3)⁻²)²
= (3²(-2)⁶/3⁴)
Thus, the required expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.
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Find the percent of change from 30 to 42 and tell whether it was an percent of increase or percent of decrease. Percent of change = _______ %
It was a percent of _______
A tv that regular sells for $425 is marked down to 340. What is the % of markdown? Be sure to round your answer to the nearest hundreth.
A. 20%
B. 25%
C. 80%
D. 85
True or False: Percent of increase is when the original amount is larger than the final amount.
True
False
PLS HELP ME!!
Answer:
1) 40%, increase
2) a)20%
3) True
Step-by-step explanation:
Am I correct? Please explain!
Will mark brainliest
Answer:
nr. 1 and 3 is a Dilation 2 and 4 are not Dilations
Step-by-step explanation:
Dilation is an elnargment or shink of a figure by a x(factor) that makes the SAME image but smaller or larger
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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I need help with this!!
Answer:
i think c
Step-by-step explanation:
hope it helps :)
What is the measure of arc e h? 114° 123° 228° 246°
Answer:
123 degrees
Step-by-step explanation:
Which statements are true based on the diagram?
Select three options.
1. Points N and K are on plane A and plane S.
2. Points P and M are on plane B and plane S.
3. Point P is the intersection of line n and line g.
4. Points M, P, and Q are noncollinear.
5. Line d intersects plane A at point N.
Answer:
Points N and K are on plane A and plane S.
Point P is the intersection of line n and line g.
Points M, P, and Q are noncollinear.
e2020
Step-by-step explanation:
According to the given diagram of Intersecting planes, Option (1), Option (3), Option (4) are True.
What are planes?A plane is a two-dimensional, flat surface that stretches indefinitely.
When does a point lie on a plane?A point is said to lie on a plane when it satisfies the equation of plane which is ax^3 + bx^2 + cx+ d = 0 and sometimes it is just visible in the figure whether a point is lying on a plane or not.
In Option(1) : Points N and K are lying on the line of intersection of plane A and S and will satisfy the equation of both planes.
In Option(2) : Point P is lying on both planes B and S, but the point M is lying only on plane B, hence this option is wrong.
In Option(3) : It is clearly visible the Point P is the point of intersection of lines n and g.
In Option(4) : It is clearly visible that Points M,P,Q are not lying on the same line, hence they are non-collinear.
In Option(5) : Line d intersects the plane A at point L and not point N, hence this is also wrong.
Hence the correct options are 1,3,4.
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Solve 7x + 6 <3(x - 2).
A. {xlx>-3}
B. {xlx<-3}
C. {xlx<-2}
D. {x1x<0}
Answer:
x<-3
Step-by-step explanation:
Removing which point from the coordinate plane would make the graph a function of x? On a coordinate plane, points are at (negative 2, negative 3), (negative 2, 1), (negative 4, 3), (0, 4), (1, 1), and (2, 3).
Answer: The first or the second point (- 2, - 3) or (- 2, 1)
Step-by-step explanation:
Ok, a relation (x, y) is a function only if, for each value x in the domain, we have only one value y in the range such that:
f(x) = y.
Here we have the pairs:
(- 2, - 3), (- 2, 1), (- 4, 3), (0, 4), (1, 1), and (2, 3).
Here, for the value x = -2, we have two different values of y.
y = 1 and y = 3.
So this is not a function, then if we want that this relation becomes a function, we must remove the first or the second point.
Answer:
I think B
Step-by-step explanation:
An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is .2. The prospector drills holes until he finds a productive well. How many holes would the prospector expect to drill
1)The probability of success on a single trial is 0.2.
2) The prospector would expect to drill an average of 5 holes before finding a productive well.
1) The scenario described can be modeled as a geometric distribution, where the prospector drills holes until he finds a productive well. The probability of success on a single trial is 0.2.
2) In a geometric distribution, the expected value (mean) can be calculated as the reciprocal of the probability of success. Therefore, the expected number of trials (or holes drilled) until the prospector finds a productive well is:
Expected number of trials = 1 / probability of success
Expected number of trials = 1 / 0.2
Expected number of trials = 5
Therefore, the prospector would expect to drill an average of 5 holes before finding a productive well.
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Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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There were 43.204 cases of Identity theft reported last year in Karnat. The population of Kansas 2.9 milion Wilichor the following interpreteen per capita for Kansas? There were 6 cases of identity the per person in Kansas There were approximately 1490 cases of identity theft per every million people in Kam Approximately 67 people in Kansas were impacted by each case of identity that There were approximately 15 cases of entity that for every 1000 people in Cana red some form of identity that
There were 43.204 cases of Identity theft reported last year in Karnat. The population of Kansas is 2.9 million. We are to find the following interpretations per capita for Kansas. The interpretations are as follows: There were 6 cases of identity theft per person in Kansas.
There were approximately 1490 cases of identity theft per every million people in Kansas. Approximately 67 people in Kansas were impacted by each case of identity theft. There were approximately 15 cases of identity theft for every 1000 people in Kansas who were exposed to some form of identity theft. To calculate the number of interpretations per capita in Kansas.
we need to use the following calculations: To calculate the number of identity theft per person in Kansas, we will divide the total number of identity theft by the total population of Kansas:6 cases of identity theft/person = 43.204/2.9 million persons To calculate the number of identity theft per million people in Kansas, we will divide the total number of identity theft by the total population of Kansas, then multiply the result by one million:1490 cases of identity theft/million
people = 43.204/2.9 million people × 1 million To calculate the number of people impacted by each identity theft case in Kansas, we will divide the total population of Kansas by the total number of identity theft cases:
67 people/case = 2.9 million people/43.204 cases of identity theft To calculate the number of identity theft for every 1000 people in Kansas who were exposed to some form of identity theft, we will divide the total number of identity theft by the total population of Kansas, then multiply the result by 1000:15 cases of identity theft/1000
persons = 43.204/2.9 million persons × 1000Therefore, the interpretations per capita for Kansas are as follows:6 cases of identity theft per person in Kansas. There were approximately 1490 cases of identity theft per every million people in Kansas. Approximately 67 people in Kansas were impacted by each case of identity theft. There were approximately 15 cases of identity theft for every 1000 people in Kansas who were exposed to some form of identity theft.
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Find the slope of the line through the points (-19, 8) & (-17, 16)
m= y2-y1/x2-x1
m= 16-8/-17+19
m=8/2
m=4unit