Answers
Answer:
C (50, - 40 )
Step-by-step explanation:
C is the midpoint of AB
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = A (0, - 80 ) and (x₂, y₂ ) = B (100, 0 ) , then
C = ( [tex]\frac{0+100}{2}[/tex] , [tex]\frac{-80+0}{2}[/tex] ) = ( [tex]\frac{100}{2}[/tex] , [tex]\frac{-80}{2}[/tex] ) = (50, - 40 )
Related Questions
an exam consists of 50 multiple choice questions. based on how much you studied, for any given question, you think you have a probability of 0.65 of getting the correct answer. consider the sampling distribution of the sample proportion of correct questions out of 50 questions.
Answers
The answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.The four most common approaches to probability are axiomatic, classical, empirical, and subjective.So, the formula for mean calculation:
E(x) = npSo, we obtain:
E(x) = 50 × 0.64E(x) = 32The formula for standard error:
[tex]S E=\sqrt{\frac{p+(1-p)}{n}}[/tex]So, we get:
[tex]\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}[/tex]
So, the standard error is 0.068, and the mean is 32.
Given the size of the sample, a roughly normal shape can be anticipated.
In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:
[tex]z=\frac{x-\mu}{\sigma}[/tex]So, we obtain:
[tex]\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}[/tex]
Then,
P (x < 60%) = P (z < -0.588)P (x < 60%) = 0.278Consequently, the probability of receiving a score below 60% is 0.278.
Therefore, the answer to all the subparts are:
(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The probability of receiving a score below 60% is 0.278.Know more about probability here:
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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)
Hefty bird grocery store sells a case pf 15 cans of chili for $75.00. bulky grocery sells 8 cans of the same brand of chili for $32. give the unit rate for a can of chili from each store
Answers
The unit rate of the can in Hefty bird grocery store is 3
The unit rate of the can in bulky grocery is 4
How to calculate the unit rate of the can in each stores ?The unit rate at Hefty bird grocery store can be calculated as follows
15= 75
1= x
cross multiply both sides
15x= 75
x= 75/15
x= 3
The unit rate at bulky grocery can be calculated as follows
8= 32
1= y
cross multiply both sides
8y= 32
y= 32/8
y= 4
Hence the unit rates are 3 and 4 respectively.
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Write 4.1012 in words. A four and ten twelve ten thousandths B four and one thousand twelve ten thousandths C four and one thousandths twelve ten thousandths D four point one zero one two
Answers
Writing 4.1012 in words will be represented as D. four point one zero one two.
How to illustrate the information?It should be noted that writing in words simply means spelling or calling out of the numbers that are given.
Based on the information, it should be noted that (.) is illustrated as a point when calling out the decimal numbers. Other values include:
4 = four
1 = one
0 = zero
2 = two
Therefore, based on the illustration, the correct option is D.
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Answer:
B
Step-by-step explanation:
he's wrong
Circuitville has been selling an average of 22 Intelliphones per day. On August 31 they have an inventory of 110 Intelliphones. Write a linear function modeling the daily inventory. Then use the model to predict the date the store will have to restock if they want to have at least 25 phones in stock at all times.
Answers
The linear function modelling the daily inventory in t days after August 31 is given by:
I(t) = 110 - 22t.
Using the given function, they must restock the store on September 3.
What is a linear function in slope-intercept format?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).In the context of this problem, we have that:
The intercept is of b = 110, as on the reference day, which is of August 31, they have 110 Intelliphones.The slope is of m = -22, as on each day they sell 22 phones, meaning that the amount decays by 22.Thus the model is given as follows:
I(t) = 110 - 22t.
They must have at least 25 phones in stock at all times, hence:
I(t) >= 25
110 - 22t >= 25
22t <= 85
t <= 85/22
t <= 3.86.
Rounding down, as after 4 days they would have less than 25 phones, they must restock the store on September 3, which is 3 days after August 31.
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PRETTY PLEASE HELP Me! ;)
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = -1x
gradient = -1
rise/run= +10-20/-10+20
= -10/10
= -1
y intercept is 0 as line is passing through 0 on y axis
For verification:
input any pair of x and y values in y = mx + b
10=-1(-10)+b
10=10+b
b= 10-10
b=0
Equation:
y = -1x
Answer:
y = -x
Explanation:
For every time y increases by 1, x decreases (goes down) by 1. You can see that the slope is negative as it seems to go ‘down’ rather than go ‘up’.
You could say the equation is y= -1x, but because there is only one ‘x’ we can just leave it as -x.
Hope this helps :)
from least to greatest 0.5, 1/5, 0.35,12/25,4/5
Answers
The numbers from least to greatest in ascending order is 1/5 , 0.35 , 12/25 , 0.5 , 4/5.
The organization of numbers known as ascending order places the smallest number before the greatest.
In this manner, the numbers are listed in ascending order. The first number should ideally be lower than the second. The integers are arranged in descending order, from largest to smallest value.Find a common denominator amongst the fractions so that the numerators and denominators can be multiplied by the same amount. The fraction that is greater can then be determined by simply glancing at the numerator. Ascending order is also known as increasing order. For instance, natural numbers are organized as follows: 1, 2, 3, 4, 5, 6, 7, 8, and so on.The numbers can be written in decimals as:
0.5 , 0.2 , 0.35 , 0.48 and 0.8.
The numbers written from least to greatest in ascending order is :
0.2 < 0.35 < 0.48 < 0.5 < 0.8
Hence the numbers will be:
1/5 , 0.35 , 12/25 , 0.5 , 4/5.
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The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.
To calculate slope, you need two points. Choose two points on the line.
Answers
The slope of the line shown in this graph is equal to 3/5 or 0.6
What is a pitch?A pitch is also referred to as slope and it can be defined as the ratio of the vertical distance (rise) measured to the horizontal distance (run) measured.
How to determine the pitch (slope) of a roof?Mathematically, the pitch (slope) of a geometric figure or line can be calculated by using this formula:
Pitch (slope) = V/H
Where:
V represents the rising vertical distance of an object.H represents the horizontal distance an object runs through.Based on the given graph, we would select the following points:
Rise = 6, 0
Run = 10, 0
Substituting the selected points into the formula, we have;
Pitch (slope) = (6 - 0)/(10 - 0)
Pitch (slope) = 6/10
Pitch (slope) = 3/5 or 0.6
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Complete Question:
The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.
To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.
Answer: Part A
Answers will vary. The sample answers throughout this Lesson Activity assume the points chosen are (0, 0) and (5, 3).
Part B (Answer)
Between the points (0, 0) and (5, 3), there is a rise of 3 units and a run of 5 units.
Part C ( Answer)
Between the points (0, 0) and (5, 3), the rise is 3 and the run is 5. The slope is the ratio of rise to run. Therefore, the slope of the line is 3/5.
Step-by-step explanation:
Questions
Part A - To calculate slope, you need two points. Choose two points on the line.
Part B - To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.
Part C
Using the rise and run from part B, what is the slope of the line?
Natasha and Richard are marking exam papers. Each set takes Natasha 45 minutes and Richard 1 hour. Express the times Natasha and Richard take as a ratio.
Give your answer in its simplest form.
Answers
Answer:
3:4
Step-by-step explanation:
for every set that Natasha and Richard do and since 1 hour is 60 minutes the ratio is 45:60 and then you divide both sides by 15 to get 3:4
The sum of an integer and 4 times the next consecutive integer is -46. Find the value of the greater integer.
Answers
The value of the greatest integer is -9.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the sum of an integer and 4 times the next consecutive integer is -46.
Assume that the integer is x. Then, its consecutive integer will be (x + 1).
Then we can write -
x + 4(x + 1) = - 46
x + 4x + 4 = - 46
5x + 4 = - 46
5x = - 50
x = - 10
Then -
x + 1 = - 9, which is also greater than -10
Therefore, the value of the greatest integer is -9.
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11
Mr Sykes wants to buy a calculator for every student in year 11.
There are 104) students in year(11.)
Each calculator costs £6.05
(a) Work out an estimate for the amount of money Mr Sykes will spend on calculators.
1= £6.05
Answers
The amount of money Mr.Sykes will spend on calculators is £629.2.
Given:
Total Number of students in year 11 = 104
Cost of each calculator = £6.05
Now to calculate the total cost of all the calculators we have to multiply the number of students by the cost of one calculator.
Amount of money Mr.Sykes will spend on calculators = Total Number of students × Cost of each calculator
= 104 × 6.05
= £629.2
Hence, the total amount of money Mr.Sykes will spend on calculators is £629.2.
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Solve: 4n² – 30n = -36. Multiple answers, if any, should be simplified and separated by a comma.
Answers
Answer:
n=3/2 and 6
Step-by-step explanation:
4n²-30n+36=0
2n²-15n+18=0
2n²-12n-3n+18=0
2n(n-6)-3(n-6)=0
(2n-3)(n-6)=0
2n-3=0 or n-6=0
n=3/2 or n= 6
factorization approach ✨
a phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost C can be represented by this equation:C=12+am, where A is the additional charge per minute and M is the number of minutes used what does M equal in an equation.
Answers
m in the linear equation that represents the scenario is expressed as: m = (C - 12)/a.
How to Interpret a Linear Equation?A linear equation, in slope-intercept form y = mx + b or y = b + mx, can be used to model a scenario where:
m = slope or unit rate or average rate b = the starting value or initial value or y-intercept.In the scenario described above, given that C = 12 + am represents the equation of the monthly pone cost, we have the following:
Monthly phone cost (y) = C
Additional charge per minute (m) = a
Number of minutes (x) = m
Base fee (b) = 12
Thus, to find what m equal in the equation, make m the subject fo the formula:
C = 12 + am
C - 12 = 12 + am - 12
C - 12 = am
(C - 12)/a = m
m = (C - 12)/a
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Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =.
Answers
Symbol used to compare the negative two and three tenths repeating and negative eight thirds is :
negative two and three tenths > negative eight thirds.
As given in the question,
Given numbers :
Negative two and three tenths = [tex]-2\frac{3}{10}[/tex]
= -23 /10
Negative eight thirds = -8/3
To compare two numbers using symbols <, >, or = denominator should be equal
Least common multiple of 10 and 3 is 30.
(-23/10) ×(3/3) = -69/30
(-8/3)×(10/10) =-80/30
-69/30 > -80/30
⇒[tex]-2\frac{3}{10}[/tex] > -8/3
Therefore, symbol used to compare the negative two and three tenths repeating and negative eight thirds is :
negative two and three tenths > negative eight thirds.
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1. AGES Mel is 3 years older than Rahfat
and Aurelio is twice as old as Mel. The
sum of their ages is 57. How old
is Mel?
Answers
Answer:
15
Step-by-step explanation:
Mel's Age = x
Rahfat's Age = x-3
Aurelio's Age = 2x
2x + x +x -3 = 57
4x -3 = 57
4x = 60
x = 15
Please help me answer
Answers
Using transformations, it is found that:
25. The function underwent a reflection over the y-axis.
26. The function undergoes a vertical compression by a factor of 1/2.
27. the changes from f(x) = |x| to g(x) = -2|x - 1| + 2 are given as follows:
Shift one unit right.Shift two units up.Vertical stretch by a factor of 2.Reflection over the x-axis.The graph of g(x) is given at the end of the answer.
What are transformations on the graph of a function?The transformations used are given as follows:
Translation: Translation left/right or down/up, with rules such as x -> x + a or y -> y + a, with the signal of a determining it is left or right, or up/down.Stretching/compression: Function is multiplied by a value.Reflections: Over the x-axis or over the x-axis.Item 25The function for g(x) is given by:
g(x) = f(-x).
This rule is for a reflection over the y-axis.
Item 26The function for g(x) is given by:
g(x) = 0.5f(x).
The multiplication by a number less than 1 means that it underwent a vertical compression, with the coefficient representing the scale factor.
Item 27For this problem, the parent function is:
f(x) = |x|.
The transformed function is:
g(x) = -2|x - 1| + 2.
The changes are given as follows:
x -> x - 1, meaning that the function was shifted one unit right.y -> y + 2, hence the function was shifted two units up.Multiplication by 2, hence the function was vertically stretched by a factor of 2.Multiplication by -1, hence the function was reflected over the x-axis.More can be learned about transformations at https://brainly.com/question/28174785
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Graph each equation after plotting at least three points for each one
1) y=-x+10
2) y=-1/2x+4
Answers
Answer:
[(2, 8),(3, 7),(4, 6)]
Graph the equation like normal.
Use the procedures explained below to answer the next question.
Step-by-step explanation:
To obtain 3 points, choose any values for x and substitute into the equation for corresponding values of y. To make this easier, I'm going to use function notation instead. But, this works the same using slope-intercept form.
[tex]f(x)=-x+10\\f(2)=-2+10=8 \rightarrow (2,8)\\f(3)=-3+10=7 \rightarrow (3,7)\\f(4)=-4+10=6\rightarrow(4,6)[/tex]
All I did was substitute three different values of x, to get the corresponding values for y.
So, the three points that are on the line are (2, 8), (3, 7), and (4, 6). Now, you can graph the equation as you normally would.
As shown in the attached screenshot, the three points that we found are correctly on the graphed line.
Use the same procedures to answer the next question.
Did I do this right?
Answers
Answer:
yes you did
Step-by-step explanation:
I hate math and my math teacher
A bird flies from the bottom of a canyon that is 59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
The difference between the elevation of the canyon and the bird's nest is ___ feet. (Simplify your answer. Type an integer, proper fraction, or mixed number.)
Answers
The difference in elevation between the bottom of the canyon and the birds nest is 679.8 feet.
What is a numerical expression ?
A numerical expression is an statement written in form of numbers with mathematical operations.
According to the given question
A bird flies from the bottom of a canyon that is59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level.
59 1/5 feet
(59×5 + 1)/5
59.2 feet
Let assume that the sea level is at 0 feet.
= (620×5 + 3)/5
= 620.6 feet.
From the given data we write an expression which is the difference in elevation between the bottom of the canyon and the bird nest is
( 620.6 ) - ( -59.2 ) feet
= 620.6 + 59.2 feet
= 679.8 feet.
Hence, The elevation difference between the birds' nest and the canyon's base is 679.8 feet.
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A park's square garden area is 225 square yards. What is
the length of ONE SIDE of the garden?
Answers
Determine the value of k that would complete the equation.
x y
2 -12
3 -8
6 -4
Answers
The value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18
As per the question statement, we are supposed to find the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true.
The solution is given below:
72 + k = 54, subtracting 72 from both sides
k = 54 - 72
k = -18
Therefore the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18
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If two charged objects have a 125 N force between them when they are 3.00 m apart, what force exists between them when they are 15.0 m apart? help
Answers
Answer:
I think its 5.00 N
Step-by-step explanation:
What type of number gets a mathematician in trouble the most when trying to use
a function to model' a real world situation? Why?
Your answer
Answers
The type of number that gets a mathematician in trouble the most when trying to use a function to model a real-world situation are irrational numbers and zero.
What type of number gets a mathematician in trouble and why?Possibly a negative relationship. When x gets close to 0, which happens rather frequently, the problem starts to become a problem.y = k/x, where k is a fixed number, say 10.
The most difficult number, in my opinion, is zero. The notion of 0 was formed roughly 1100 years after the death of Christ. The value "0" had no meaning to the Romans. For them, there was nothing resembling a zero in the year 2019. They would write it as (MMXIX). When giving parts of an inch in their engineering drawings, that must be very awkward.The irrational would be the second group that probably poses some difficulties. sqrt(3) for one, pi for another. That took time to come into being as well.To learn more about numbers visit:
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the coefficient correlation for rent and square footage is computed to be 0.84, this means the relationship between the two variables are blank
Answers
Based on the correlation coefficient between rent and square footage of 0.84, the relationship between the two variables is Strong and Positive.
How to describe the correlation coefficient?The Correlation Coefficient can be negative, positive, or 0. When it is 0, then no relationship exists between the variables. A negative coefficient means that the relationship is negative.
A positive correlation means that the relationship is positive which means the variables increase (decrease) together. A correlation coefficient above 0.8 indicates that the correlation is strong.
In this case, it means that the correlation of 0.84 between rent and square footage is strong and positive.
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Esimate the value of 13 squared, between which two whole numbers
Answers
The value of value of 13 squared is 169 and this is between 168 and 170.
How to illustrate the information?It should be noted that a square of a particular number simply means the multiplication of the number by itself.
Based on the information, the value of 13 squared will be:
= 13 × 13
= 169
It should be noted 169 will be between 168 and 170.
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What does N equal? 2N-7N + 4N x 9N - 14N = 250
Answers
Answer:
50
Step-by-step explanation:
in this equation you will have to add and multiply the Ns together then you will divide whatever value you get by 250
(2N-7N+4N) x (9N-14N)=250
(-1N) x (-5N)=250
5N=250
N=50
Please help I really need it! It’s number 18!
Answers
Answer:
a. 245 m
b. 40 m
c. The g-value of Mars is smaller than that of Earth.
Step-by-step explanation:
From the question, the distance the object has fallen due to gravity is given by
[tex]\boxed{d = gt^{2} }[/tex]
Earth
Given that g= 9.8 m/s²,
d= 9.8t²
(a) When t= 5,
d
= 9.8(5²)
= 9.8(25)
= 245 m
Moon
Given that g= 1.6 m/s²,
d= 1.6t²
(b) When t= 5,
d
= 1.6(5²)
= 40 m
Mars
(c) Relationship: smaller g, smaller d
Given the same value of t, which is 5 seconds, we are given that the distance (d) is 46.25 m.
This distance is smaller that than when dropped near the surface of the earth, but larger than that when dropped near the surface of the moon.
In summary,
d of Mars (45.25 m) <d of Earth (245 m)Thus g of Mars <g of EarthThus, we can conclude that the g-value on Mars is smaller than that of the Earth.
what does 10.1 times 0.31 equal
Answers
PLEASE SOMEONE NEED TO ANSWER. IM GONNA FAILED MY CLASS IN GEOMETRY
In Exercises 3 and 4, plot the points in a coordinate plane. Then determine whether
AB and CD are congruent.
3. A(-7, 1), B(-4, 1), C(3, -5), D(3, -2)
4. A(1, -1), B(1, 1), C(3, -4), D(5,-4)
Answers
25. Buses from New York City to Albany leave New
York City every hour on the hour and buses from
Albany to New York City leave Albany every
hour on the half hour. All the buses in both
directions travel on the same highway and take
exactly 3 hours to reach their destination. Buses
in both directions run 24 hours a day and every
day of the year. A bus leaving New York City
and going to Albany will pass how many buses
leaving Albany and going to New York City
along the way?
Answers
Answer:
12.
Step-by-step explanation:
During the previous 3 hours before the New York bus leaves, 6 buses would have left Albany so the New York bus will pass them on the way.
Also 6 buses will leave Albany during the three hours of travel,
Tha answer is 6 + 6 = 12.
Calculate the slope of:
(8,7) (2,7)?
Answers
If you plug in the values then it would be
m=7-7/2-8
Which would equal to
m=-0/6 = 0
So the answer will be 0