The table shows the numbers y of students absent from school x days after a flu outbreak.
Write a function that models the data.
Use the model to approximate the number of students absent 10 days after the outbreak.
Answers
A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
What is a quadratic function?A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the polynomial function is given by:
y = -0.4908x² + 5.8845x + 1.3572
For the number of students that are absent 10 days after the outbreak, we have:
y = -0.4908(10)² + 5.8845(10) + 1.3572
y = -0.4908(100) + 58.845 + 1.3572
y = -49.08 + 58.845 + 1.3572
y = 11.12 ≈ 11 students.
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Related Questions
1. Construction workers build 54 feet of a bridge each day for 9 days. To determine whether the bridge is at least 490 feet long, can you use an estimate, or is an exact answer required? Explain.
Answers
The total length of the bridge built is less than the total length of the bridge.
How to Estimate Lengths?
We are given;
Length of bridge to be built per day = 54 feet
Number of days they built the bridge = 9 days
Thus, to find the total length that the bridge will span, we multiply the length built each day by the number of days. Thus;
Total Length of bridge = (54 * 9)
Total Length of bridge = 486 ft
Since we want to find if the bridge is at least 490 feet long. Thus, the total length of the bridge built is less than the total length of the bridge.
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solve for a in terms of b and c
b = 3a + 5ac
Answers
a
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A bag contains 3 blue balls and x yellow balls. Write down the total number of balls in the bag
Answers
The answer to the question is 3+x
and the probability of blue balls is 3/3+x
We are required to find out the total number of balls that is the sum of blue and yellow balls
so the total number of balls in the bag is 3+x
The concept here used is probability.
Probability is the quantitative relation of rangethe amount|the quantity} of outcomes in thorough set of equally possible outcomes that manufacture a given event to the whole number of doable outcomes
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
probability of blue balls=blue balls/total balls
=3/3+x
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Hey your question is incomplete, the complete question is
A bag contains 3 blue balls and x yellow balls.Write down the total number of balls in the bag.If a ball is drawn from the bag, write down the probability that it is blue.
pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally. the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream. what kind of variable is the company studying?
Answers
The pharmaceutical company uses the quantitative variable to conducts an experiment.
Variables:
A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.
Quantitative Variables - Variables whose values result from counting or measuring something.
Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.
Given,
A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.
And the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.
Here we need to find the kind of variable is the company studying.
Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.
So, the experiment uses the Qualitative Variable.
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Jack has 150 feet of barb wire and needs to put it on 35 3/4 feet of fencing. how much barb wire can he use for each foot
Answers
Jack can use 3 3/14 feet of Barb wire used for each foot when he has 150 feet of barb wire which needs to be put on 35 3/4 feet of fencing.
We are given that:
Jack has 150 feet of Barb wire.
The fencing is:
35 3/4 feet that is equal to
= 140 / 3 feet
For each foot the Barb wire will be calculated by dividing the total Barb wire by the wire required for fencing.
So, we get that:
Barb wire used for each foot = 150 ÷ 140 / 3
Barb wire used for each foot = 450 / 140
Barb wire used for each foot = = 45 / 14
Barb wire used for each foot = 3 3/14 feet.
So, Jack can use 3 3/14 feet of Barb wire used for each foot when he has 150 feet of barb wire which needs to be put on 35 3/4 feet of fencing.
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12. A colony of rabbits in the wild found that the colony doubles in population
every year. At first there were 10 rabbits. After how many years will there
be more than 160 rabbits?
Answers
Answer:
5
Step-by-step explanation:
In the question it states that in each year the number of rabbits increase by (2) of which is represented by the word (doubled) and so this will solve this question horizontally
note that (Y) represents year
First Year =10 rabbits
Second Year=20
Third Year =40
Fourth Year =80
Fifth Year =160
Mr. Johns is using a high-clearance sprayer with two 30-foot booms. It will spray a 60-foot-wide strip. He sprayed a
960-foot-wide wheat field for weeds.
a. How many feet from the edge should he start?
b. How many round trips are needed to cover the field?
Answers
a) He will start 900 feet from the edge
b) 16 Round trips are needed to cover the field.
Because Mr. Johns intends to check a wheat field 960 feet wide for weeds so he will distribute a 60-foot wide strip using a high clearance sprayer that has two 30-foot booms.
a) 960 foot - 60 foot = 900 foot
Therefore, he should start 900 feet from the edge.
b) 960 foot / 60 foot = 16 Trips.
Therefore, 16 round trips are needed to cover the field.
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pls help me it’s due today!!
Answers
By checking the piecewise function and evaluating it at x = 1, the result of the piecewise function is equal to - 4.
How to evaluate a piecewise function at a given point of the real set
Piecewise functions are functions formed by several expressions constrained by intervals in the real set. In this case we find a piecewise functions consisting in two expressions constrained by two intervals in the real set. The piecewise function is defined by these expressions:
f(x) = (x + 2)² - 5 for x ≠ 1, that is x < 1 and x > 1.f(x) = - 4 for x = 1.Then, we need to evaluate the piecewise function at x = 1. By direct inspection, we conclude that the value according to the piecewise function evaluated at x = 1 is equal to - 4.
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nb 3 all parts pls pls very important pls and thank you!!
Answers
Step-by-step explanation:
(a)
First:
Get AE using Pythagoras
[tex] {ae}^{2} = {6}^{2} + {8}^{2} [/tex]
[tex] {ae}^{2} = 100[/tex]
AE =10
Connect OM to form Traingle AOM.
AM=5cm (AE is 10 and AM=ME meaning that they are divided into two equal parts)
AM^2=OM^2+AO^2
5^2=OM^2+4^2
OM^2=5^2-4^2
OM=3
(B) OM is parallel to BE because of midpoint theorem
The Theorem states that The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.
(C) AOM is a right angled triangle at O because angle AOM is 90°. Because OM is a perpendicular Line that bisects the chord of AB
A teacher has $230 in a bank account to spend on school supplies and wins an additional $50 to put toward the school supplies. The teacher spends $120 on binders for students and wants to buy the classroom a new $180 tablet.
Answers
Answer:
-20
Step-by-step explanation:
3 to the power of -2 is equivalent to _____.
i need help ASAP (i will give brainliest)
Answers
Answer:
1/9
Step-by-step explanation:
3^-2 = 1/3^2
which is 1/9
Step-by-step explanation:
Evaluating 3^-2
3^-2
= 1/3²
= 1/ 3 × 3
= 1/9
Or
if you're talking about 3^-2 in decimal then...
3^-2 = 0.111111111 (in decimal)
Hope this helps
Ace that testGood luck ✅(b) by how much could the smallest sample observation, currently 8.1, be increased without affecting the value of the sample median?
Answers
The smallest sample observation that can increase 8.1 without changing the sample median's value is 4.4.
By sample median, what do you mean?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set. Simply expressed, the sample median is the middle value after sorting the observations in ascending order if the sample size is odd. The sample median is the average of the two middle values if the sample size is equal. The data set's median value is the value that falls in the middle, ordered by magnitude. The sample median is the average of the two middle terms when the number of samples in the data set is even. When the data set is symmetrically distributed, the sample mean serves as a reliable indicator of the central tendency.
The median can be calculated as (12.5+12.6)/2=12.55.
The incremented least observed value is 12.5-8.1=4.4, and the difference is that.
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Which numbers are irrational?
√100 √21 √36 √47
Which numbers are irrational? Select all that apply.
A. √21
B. √ 100
C. √47
D. √36
Answers
işlemleriyle çözer misiniz?
Answers
The hexagon is made from a rectangle and two identical triangles
Answers
Eq for area of triangle = bxh/2
Area of triangle= 4x12/2= 24
Area of hexagon = 24+24+60 = 108cm^2
Answer: 108cm^2
Answer:
108cm^2
Step-by-step explanation:
Find the areas of the rectangle and the two triangles. Then add all three areas together. See image.
What’s the distance between (2,-3) and (4,-3)
Answers
What is 1/2+(-5/6)+1/4 as A fiction
Answers
Answer: A=-1/12
Step-by-step explanation:
[tex]\displaystyle\\\frac{1}{2}+(-\frac{5}{6} )+\frac{1}{4}=\\\\\frac{1*6-5*2+1*3}{12} =\\\\ \frac{6-10+3}{12}= \\\\\frac{-1}{12}= \\\\-\frac{1}{12}[/tex]
What expressions are equivalent to 4d+6+2d4d+6+2d4, d, plus, 6, plus, 2, d ?
Answers
The oldest zoo in the United
States is the Central Park Zoo
in New York City. The zoo
opened in 1864.
1. How many years had the
Central Park Zoo been open
in 19642
2. How many years had it been
open in the year 2000?
Answers
2. 136 years
does someone mind helping me with this? Thank you!
Answers
Answer:
196m²
Step-by-step explanation:
area is w multiplied by h so 14x14
Answer:
196 [tex]m^{2}[/tex]
Step-by-step explanation:
The area of a rectangle is length times width. A square is a type of rectangle that has four equal sides, so if we know one side we know all four.
A = l x w
A = 14m x 14m
A = 196[tex]m^{2}[/tex]
candace works at a chocolate factory that makes 2,850 chocolates in 30 minutes. what is the constant of proportionality that relates the number of chocolates, y, to the minutes, x?
Answers
Identify each as an expression, equation, or inequality
Answers
Answer:
Equations
expression
inequality
equation
expression
equation
Step-by-step explanation:
An expression does not have an equal sign.
An equation does have an equal sign
Inequality has a > or< symbols
I need help, please IT CAN NOT WAIT
Answers
Answer:
D and E
Step-by-step explanation:
In order for the equations to have infinite amount of solutions, they have to be equal to each other.
A: 3x-1 doesn't equal 3x+1
B: 2x-1 is not equal to 1-2x since they negate each other.
C: 3x-2 doesn't equal 2x-3
D: 3(x-1)=3x-1*3=3x-3 ==> D is an answer.
E: 2(x+1)=2x+1*2=2x+2 ==> E is an answer
F: 3(x-2)=3x-6. However, 2(x-3)=2x-6. 3x-6 doesn't equal 2x-6.
Hence, 3(x-2) doesn't equal 2(x-3).
Find the sum. 69,348 + 76,290
Answers
Answer:
The answer you will be looking for is 145638!
If you need help how to i will explain!
Find m∠ABC and m∠CBD
Answers
5. m∠ABC = 64°
m∠CBD = 26°
6. Using the linear pair postulate,
m∠ABC = 97°
m∠CBD = 83°
7. Using the linear pair postulate,
m∠ABC = 112.5°
m∠CBD = 67.5°
How to Apply the Linear Angles Postulate?Two angles on a straight line form a linear pair which have a sum of 180 degrees based on the linear pair postulate.
5. (11x - 2) + (5x - 4) = 90 [complementary angles]
11x - 2 + 5x - 4 = 90
16x - 6 = 90
16x = 90 + 6
16x = 96
x = 6
m∠ABC = 11x - 2 = 11(6) - 2 = 64°
m∠CBD = 5x - 4 = 5(6) - 4 = 26°
6. 8x + 9 + 6x + 17 = 180 [linear pair postulate]
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 11
m∠ABC = 8x + 9 = 8(11) + 9 = 97°
m∠CBD = 6x + 17 = 6(11) + 17 = 83°
7. 14x - 6.5 + 7x + 8 = 180 [linear pair postulate]
21x + 1.5 = 180
21x = 180 - 1.5
21x = 178.5
x = 8.5
m∠ABC = 14x - 6.5 = 14(8.5) - 6.5 = 112.5°
m∠CBD = 7x + 8 = 7(8.5) + 8 = 67.5°
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There are three number a,b and c, where a>b and b>c. Describe the positions of numbers on a number line
Answers
Answer:
the numbers lie on the number line from left to right: c, b, a
Step-by-step explanation:
a > b > c
bigger numbers are to the right on the number line
Find the midpoint of line segment AB, given:
A(-7, 4) and B((3,-4)
Answers
Answer:
I believe the answer is not solvable I don’t know I might be wrong
Step-by-step explanation:
Question 11(multiple choice worth 2 points) (order of operations mc) joshua purchased a game card for the arcade for a total of $18. he played two basketball hoop games for $3.25 each and four rounds of air hockey for $1.75 each. how much did he have left on the game card? $4.50 $6.50 $13.00 $13.50
Answers
The total balance remaining on Joshua's game card is $4.5. So, the correct option is (A).
In the Question, It is given that Joshua purchase a game card for $18 which makes the Balance Bal = $18 on his card.
Now, He played 2 rounds of Basketball hoop and each costs $3.25 which makes total for Basketball B = 2*3.25 => B = $6.25
And, He played 4 rounds of Air Hockey each game cost $1.75 which makes the total for Air Hockey A = 4*1.75 => A = $7
To calculate the remaining balance on his card we need to subtract these games' costs from the balance on his card :
=> T = Bal - B - A, Where T = Total, Bal = Balance on card, B = Basketball, A = Air Hockey
=> T = 18 - 6.25 - 7 => T = $4.5
Hence, the Total balance remaining on his card T = $4.5
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A bug crawls up a pole 2in. in 2min., then slips down 1in. in 1min,, then crawls up 2in. in 2min., and so on. At this rate, how long will it take the bug to reach the height of 10in.
Answers
Answer: It would take the bug 26min to clime the pole
Step-by-step explanation: For me I drew a pole and labeled it like a number line.
1. use or make a number line and plot 0-10 on it.
2. jump 2 points from 0 on the number line
3. Jump backwards once to make the equation accurate
4. plot the times it takes along the way to find the answer until you get to 10
I hope
Pls pls help whoever gets it right gets a crown
Answers
Answer:
8/45m² + 2/35m
Step-by-step explanation:
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