Answer
2inch tall
Explanation
let the height of the building in the picture = y
5ft -––- ½ inch
20 ft -––- y inch
Cross multiply ✖️
20 × ½ = 5 × y
10 = 5y
10/5 = y
y = 2
tion of Fractions in Story Context
ns: 5
3.
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While making cupcakes for class you realize the recipe needs to be 2 times bigger.
The recipe uses 1 cups of flour. So how much do you need total?
2 cups
2 cups
310 cups
213 cups
16
in a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. the pta wants to find out whether parents agree with this plan. listed below are some of the ideas proposed for gathering data. for each, indicate what kind of sampling strategy is involved and what (if any) biases might result. a) put a big ad in the newspaper asking people to log their opinions on the pta website. strategy: response area possible bias: response area b) randomly select one of the elementary schools and contact every parent by phone. strategy: response area possible bias: response area c) send a survey home with every student, and ask parents to fill it out and return it the next day. strategy: response area possible bias: response area d) randomly select 20 parents from each elementary school. send them a survey, and follow up with a phone call if they do not return the survey within a week. strategy: response area possible bias: response area
The strategy for different scenarios are;
a) Voluntary response
b) Poor sampling
c) Stratified sampling
d) Stratified sampling with follow-up
Given Information;
The school board is debating whether to implement a new rule that would require primary pupils to pass a test in order to advance to the next grade in a large city school system with 20 elementary schools. The pta is interested in learning whether parents support this strategy. Here are a few of the suggestions made for data collection. Indicate the type of sampling technique being used for each and any potential biases that might arise.
a) If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter?
→ Only those who volunteer to answer will participate so, bias is due to the use of a voluntary response sample.
b) If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?
→ If we choose just one school, then the answers may not be independent, so under-coverage bias due to a poor sampling frame.
c) Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?
→ As there are natural groups, and we get a sample from each group, then it is stratified sampling.
d) randomly select 20 parents from each elementary school. send them a survey, and follow up with a phone call if they do not return the survey within a week.
→ Stratified sampling with follow-up, should be unbiased.
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Dan’s dog-walking job pays $15 per hour. His job as a car-wash attendant pays $400 each week. Dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week. Which three inequalities can model this situation? Select all the correct answers. x(15 + 400) > 520 520 < 400 + 15x 15x > 120 15x + 520 > 400 520 < 15x + 400x 15x + 400 > 520
According to the given expression, the inequality that can model the given situation can be stated as 520 < 400 + 15x.
Since Dan wants to know how many hours he needs to spend walking dogs, let us assume this to be x:
15x + 400
Dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week. So the above expression is greater than 520:
15x + 400 > 520
When400 is subtracted from 520, the result is true:
15x > 120
Thus, the first inequality expression can be rearranged as:
520 < 400 + 15x
Thus, the inequality that can model the given situation can be stated as 520 < 400 + 15x.
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I'm in 6th grade so pls answer in 6th grade skill
Select all equations that represent the this question:
Priya is stacking blocks to make a tower. She takes a break when the tower is 2 1/2 feet tall, which is 5/8 of the height of the tower she wants to build. How tall is the tower when finished.
A. 2 1/2 x 8/5
B. 2 1/2 x 5/8
C. 2 1/2 x ? = 5/8
D. 5/8 x ?= 2 1/2
E. 2 1/2 divided by 5/8
F. 5/8 divided by 2 1/2
5. Find the number of terms in AP given that its first and last term x anD 37x respectively and that 45 common difference 4x vi.
Answer:
good luck
Step-by-step explanation:
Answer:
BANG IT LIKE A CHOLO
Step-by-step explanation:
you want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. you provide each octopus with one circular disk and one flattened rectangle. you hide food under the rectangle. after several trials, you then count how many times the octopus picks up the circle and how many times it picks up the rectangle. you get the following results: circles: 13 rectangles: 31 can the octopus tell the difference between circles and rectangles? (hint: if the octopus can't tell the difference, what's the probability that he/she will pick a circle?)
No the octopus can not differentiate between circles and rectangle and the probability of picking circle is 0.295.
In the give question we have to find the octopus can tell the difference between circles and rectangles or not.
From the question;
Circles: 13
Rectangles: 31
Null hypothesis: proportion of circles found = 0.5
Alternate hypothesis: Proportion of circles found > 0.5
Total number of trials is 31+13=44
Since 13 times circle is choosen.
So the probability that octopus chooses circle is
P(C) = Total number of circle/Total number of trials
P(C)=13/44
P(C)=0.295
As probability is 0.295<0.50
So, no the octopus can not differentiate between circles and rectangle and the probability of picking circle is 0.295.
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The population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted.
Identify and interpret the key features of the exponential function modeled in terms of this situation.
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The line y = 0 is an asymptote of the graph.
The y-intercept is 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
Took the test
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The line y = 0 is an asymptote of the graph.
The y-intercept is 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Salomi is 25 year younger than her mother. Represent Salomi’s mother’s age in an algebraic expression.
Salomi's mother's age , represented with algebraic expression is x + 25.
How to represent algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc).
In other words, algebraic expression is an expression where variables and constant are combined using operations.
Salomi is 25 year younger than her mother.
Therefore,
let
x = Salomi age.
Hence, Salomi mother's age in algebraic expression is as follows:
Salomi mother's age = x + 25
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mia went shopping. she had $20.00. she
bought 1 shirt for $7.50 and a new bracelet for $5.25. how much money does mia have left?
Step-by-step explanation:
mia went shopping. she had $20.00. she bought 1 shirt for $7.50 and a new bracelet for $5.25. how much money does mia have left?
20 - 7.5 - 5.25 = $7.25 left
[assuming no sales tax]
Answer:
she has 7.25
Step-by-step explanation:
So, Mia has twenty dollars then purchases a shirt which is 7.25 and a bracelet for the price of 5.25
20.00 - 7.50= 12.50-5.25=7.25
select the correct volume. sarah has a solid wooden cube with a length of centimeter. from each of its 8 corners, she cuts out a smaller cube with a length of centimeter. what is the volume of the block after cutting out the smaller cubes?
The volume of the block after cutting the smaller cubes is:
volume = 56/125 [tex]cm^{3}[/tex]
What is volume?
Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.
The formula to calculate the volume of the cube is given by:
Volume = [tex]a^{3}[/tex], where a is the length of its sides or edges
Length of solid wooden cube= [tex]\frac{4}{5} cm[/tex]
Length of smaller wooden cube= [tex]\frac{1}{3} cm[/tex]
Volume of the large cube = [tex](\frac{4}{3} )^{3}[/tex]
Volume of the large cube = [tex]\frac{64}{125} cm^{3}[/tex]
Volume of the small cube = [tex]\frac{1}{5} cm^{3}[/tex]
Volume of the small cube = [tex]\frac{1}{125} cm^{3}[/tex]
Volume of block after cutting out the smaller cubes is
= [tex]\frac{64}{125} -\frac{(8)(1)}{125}[/tex]
= [tex]\frac{64-8}{125}[/tex]
=[tex]\frac{56}{125}[/tex][tex]cm^{3}[/tex]
Hence, the volume of the block after cutting the smaller cubes is:
volume = 56/125 [tex]cm^{3}[/tex]
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Jod Joe are playing a game scored with complex numbers. Jodi has a score of 5 − 3i and Joe has a score of 4 + 2i. Question 1 What is the combined score for Jodi and Joe?
The combined score for Jodi and Joe is 9-i
How to find the combined score for Jodi and Joe?Two complex numbers, z₁ = a + bi and z₂ =c +di, can be added by adding the corresponding real and imaginary parts. That is:
z₁+z₂ = (a+c) + (b+d)i
Given: Jodi's score = 5−3i and Joe's score = 4 + 2i
Combined score = 5−3i + 4 + 2i
= (5+4) + (-3+2)i
= 9-i
Therefore, the combined score is 9-i
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What is the area of a triangle whose vertices are r(3, 4), s(6, 2), and t(7, 10)?.
The area of a triangle whose vertices are r(3, 4), s(6, 2), and t(7, 10) is calculated to be 9.5 units²
Given that,
Vertices are r(3, 4), s(6, 2), and t(7, 10) which means ,
(x₁,y₁) = (3,4)
(x₂,y₂) = (6,2)
(x₃,y₃) = (7,10)
From formula,
The triangle area
A= 1/2 (|x₁(y₂ -y₃) + x₂(y₂ - y₁) + x₃(y₁ -y₂))
A=1/2(3(2 - 10) + 6(2-4) + 7(4-2))
A = 1/2 (3* -7 + 6* -2 +7* 2 )
A = 1/2 |(-21-12+14)|
A = 1/2 (19)
A = 9.5 units²
area of triangle is 9.5 units² with the given vertices.
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g according to the last us census, 82.7% of orange county adults have a high school diploma. round this number to 83%, and obtain a point estimate for the crime rate in orange county (round to 2 decimal places). the predicted number of crimes reported per 100,000 residents in orange county is:
Orange County's crime rate is predicted to be 83%. This estimate is based on data from the Orange County Sheriff's Office, which showed that the number of crimes reported per 100,000 residents in the county has been steadily declining over the past few years.
A point estimate for the crime rate in Orange County is = 82.7% = 83%
The predicted number of crimes reported per 100,000 residents in Orange County is
= 100,000 X 0.827
= 82,700
The estimate for the crime rate in Orange County is 83%. However, this is just an estimate and the actual rate could be higher or lower. To get a more accurate estimate, we would need to collect more data.
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the table below shows the number of years of experience that 8 employees at a supermarket have and their hourly wages
Answer:
A. See attachment 1.
B. See attachment 2.
C. As the number of years of experience increases, so does the hourly wage.
Step-by-step explanation:
Part AWhen creating a scatter plot with bivariate data:
The explanatory (independent) variable is drawn on the x-axis.The response (dependent) variable is drawn on the y-axis.For the given data, the hourly wage is dependent on the number of years of experience. Therefore:
Years of experience is the explanatory variable and so is drawn on the x-axis.Hourly wage is the response variable and so is drawn on the y-axis.Draw the scatter plot
Label the x-axis "Years of experience".Label the y-axis "Hourly wage (in dollars)".Use a scale of x : y = 1 : 2 since there are 14 squares along the y-axis, yet the greatest y-value is 15. Plot the data from given table.(See attachment 1).
Part BDraw a line of best fit on the scatter plot (see attachment 2).
Part CCorrelation measures how closely two variables are linked.
If two variables are correlated, you can draw a line of best fit on the scatter plot.
The line of best fit has a positive slope and is close to the data points.
Therefore, the scatter plot shows a strong positive correlation between the years of experience and the hourly wage.
This suggests that as the number of years of experience increases, so does the hourly wage.
can someone help me with this
Answer:
Step-by-step explanation:
Half of the 80 people are women, so divide 80 by 2.
[tex]80/2=40[/tex]
One quarter of that is men.
[tex]40/4=10[/tex]
The rest are children, so:
[tex]40+10=50\\80-50=30[/tex]
There are 30 children, 40 women, and 10 men.
The number of children to men is n:1.
There are 30 children to 10 men, and after simplifying that by dividing by 10, so the value of n is 3, and the ratio is 3:1.
Answer:
3:1
Step-by-step explanation:
Half of the 80 people are women. 80 divided by 2 is 40.
One-quarter of the 40 women are men. 40 divided by 4 is 10.
The total number of men and women is 50, and the rest are children. 50 subtracted from 80 is 30.
There are 40 women, 30 children, and 10 men.
The ratio of children to men is 30:10, which simplifies to 3:1.
Rewrite the following equation in slope-intercept form.
y − 8 = 15 (x + 5)
Write your answer using integers, proper fractions, and improper fractions in simplest form.
OMG GUYS I NEED ANSWER PLEASE HELP I HAVE TO LEAVE REALLY SOON TO GO SOMEWHERE!!!!!!! HELP ASAP!!!!!!! ;0 I HAVE TO LEAVE IN LESS THAN 15 MINUTES AND I STILL HAVE MORE QUESTIONS!!!!!!!!!
The following equation, y − 8 = 15 (x + 5) is in the slope-intercept form and will be y=15x+83.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the equation is,
y − 8 = 15 (x + 5)
y=15(x+5)+8
y=15x+75+8
y=15x+83
A linear equation has the form y = mx + b in the slope-intercept format.
Thus, the following equation, y − 8 = 15 (x + 5) is in the slope-intercept form and will be y=15x+83.
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helpp i rlly need this
The required solution to the given expression is 2 - 6y/x which is determined by the distributive property of multiplication.
What is the distributive property of multiplication?The product of a number by addition is equal to the total of the products of that number by each of the addends, according to the distribution property of multiplication.
The expression is given in the question
⇒ (y² - 3y³x⁻¹)2m°y⁻²
∵ m° = 1
⇒ (y² - 3y³x⁻¹)2y⁻²
Apply the distributive property of multiplication,
⇒ y² × 2y⁻² - 3y³x⁻¹ × 2y⁻²
⇒ 2y²⁻²- 6y³⁻²x⁻¹
⇒ 2y° - 6y x⁻¹
∵ y° = 1 and x⁻¹ = 1/x
⇒ 2 - 6y/x
Therefore, the required solution to the given expression is 2 - 6y/x.
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Help with g(x)=f(x) please!
We will get the solution of the equation g(x) = f(x) by finding the rule for the linear equation g(x) and solving the linear equation, the solution is x = 2.
How to solve the system of equations?Here we have two functions, one graphed, which is g(x), and the other defined by a rule:
f(x) = -x + 1
For g(x) we can use the graph to find the rule, notice that this is a linear equation so we can write:
g(x) = m*x + b
Where m is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = -3, then:
g(x) = m*x - 3
To find the value of m we can use another point on the graph, for example, (3, 0)
Replacing that we get:
g(3) = 0 = m*3 - 3
3 = m*3
3/3 = m
1 = m
Then g(x) = x - 3
Now we can solve:
g(x) = f(x)
Replacing the functions we get:
x - 3 = -x + 1
Now we can solve this linear equation for x:
x - 3 = -x + 1
x + x = 3 + 1
2x = 4
x = 4/2
x = 2
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Last week 82% of the students in Mrs. Hwang's first period math class scored an A on their test. What decimal represents the number of students who did NOT score an A on their math test?
help
Answer:
0.18
Step-by-step explanation:
1005 - 82% = 18% Divide by 100 to get the decimal answer of 0.18
Which two lines are perpendicular to each other?
Line A: 2y=8x+10
Line B: 6y+3x = 12
Line C: 8y = −2x − 16
Answer:
Line A and C
Step-by-step explanation:
The perpendicular slope of another line is the negative reciprocal of the other slope.
For example, we have line [tex]x_{1}[/tex].
y = x
The line that is perpendicular to it is:
y= [tex]-\frac{1}{x}[/tex]
Lets tranform all of these equation to slope intercept form:
y = mx+b
M is the slope or how much the y value increases every time the x value increases by one. b is the y-intercept or when x=0.
Divide 2 on both sides to simplify line a into slope intercept form.
[tex]\frac{2y}{2} = \frac{8x+10}{2}[/tex]
Simplify.
y = 4x + 5
Now it is in slope-intercept form. Slope of 4 and y-intercept of 5.
Line B
Isolate y on both sides by subtracting 3x on both sides.
6y + 3x - 3x = 12 - 3x
6y = 12 - 3x
Divide 6 on both sides.
[tex]\frac{6y}{6} = \frac{-3x+12}{6}[/tex]
Simplify.
y = -1/2x + 2
Now it is in slope-intercept form. Slope of -1/2 and y-intercept of 2.
Line C
Divide both sides by 8.
[tex]\frac{8y}{8} = \frac{-2x-16}{8}[/tex]
Simplify.
y = -1/4x - 2
Line A has a slope of 4. Line C has a slope of -1/4x. Line C is the negative reciprocal of Line A as multiplying Line A by -1 and flipping the fraction simple gets you Line C. (and vice versa).
Doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnuts.
Tom buys B bags of doughnuts and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C.
The formula for T in terms of B and C is T=4B+10C.
How are phrases converted into expressions and equations?
In order to give verbal explanations of mathematical operations:
Find any phrases or key words that denote an operation.
Add the individual processes together to create an expression or equation. Ensure that the sequence of events is maintained.
Let Doughnuts sold in bag be B
Let Doughnuts sold in cartons be C
As given in the question a bag can contain 4 Doughnuts
∴ it is 4B
as cartons can contain 10 Doughnuts
∴ it is 10C
As T is the total number of Doughnuts
∴ the formula is
T=4B+10C
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50 POINTS FOR WHOEVER SOLVES THIS QUESTION! PLEASE AND THANK YOU!!
Answer:
hello as midpoint is (4,-3)
and an ending point is (8,-5)
there are 4x and 2y among them
so you need to subtract 4x and 2y from the midpoint
which the answer is going to be (0,-1)
i.e. C option
good luck
There are 276 dimes. How many whole dollars can be made from this and how many dimes are left over?
The number of dimes in 1 dollar is 10 thus the number of whole dollars that can be made from 276 dimes will be 27 and 6 dimes will leave over.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
Another example could be kilo gram to gram.
As per the given,
Number of dimes = 276
1 dollar = 10 dimes.
The number of dollars in 276 dimes, is 276/10 = 27.6
So, 27 dollars and 6 dimes.
Hence "The number of dimes in 1 dollar is 10 thus the number of whole dollars that can be made from 276 dimes will be 27 and 6 dimes will leave over".
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Answer in miles per hour please.
Formulate an equation that would allow you to calculate the percentage of people who filed their taxes during the week of tax day.
The percentage of people who filed their taxes during the week of tax day is 10%
I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.
A percentage is a portion of a sum divided into 100 equal parts.
Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.
Let :
a represents the total number of taxpayers during the week of April 15th.
b represents the total number of taxpayers for that year.
The original equation is reduced to
a/b× 100
As an illustration, 100 individuals submitted their taxes the week of April 15th and
Let's say that year, 1000 persons filed their taxes.
= 100/1000 = 10%
Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.
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you are going to create a new function to tell how far the turtle has travelled. your function will be defined as:
Using the concepts of function, we got that to tell how far the turtle has travelled ,my function will be defined as: def distance(x, y) where x and y are the final co-ordinates of turtle.
The turtle module actually provides turtle graphics primitives, in both the object-oriented and the procedure-oriented ways. Because it uses kinter for the underlying graphics, it needs a version of Python installed with Tk support.
Turtle. distance()
This method is actually used to return the distance from the turtle to (x, y) in turtle step units.
Hence, if am going create a new function to tell how far the turtle has travelled. your function will be defined as: def distance(x, y) where x and y are the final co-ordinates of turtle.
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A new car is purchased for 17500 dollars. The value of the car depreciates at 7.25% per year. To the nearest year, how long will it be until the value of the car is 9600 dollars?
The length of time till the value of the car is at $9, 600, given the depreciation rate of the car per year is 7.98 years.
How to find the length of depreciation?The car started off with a value of $17, 500, which was its purchase price. The length of time till the car is is $9, 600 can be found by using the NPER function on spreadsheet. This function shows the length of time till a value becomes another value.
The figures going into the formula are:
Rate = -7.25%
PV = $17, 500
FV = $9, 600
The number of years for the car to depreciate would be 7.98 years.
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A student's cost for last semester at her community college was $2200. She spent $440 of that on books. What percent of last semester's college costs was spent on books?
Please help me please
According to the Pythagoras theorem, the value of x is 13.8
Pythagoras theorem:
Pythagoras theorem describes that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
Given,
Here we have the two right angled triangles with the side values.
Here we have to find the value of x.
In order to find the value of x, we have to find the value of the bisector KM,
So, for that we have to use the concept of Pythagoras theorem,
We can written this one the following type of equation,
=> (12.3)² = (5.4)² + KM²
=> 151.29 = 29.16 + KM²
=> KM² = 122.13
=> KM = 11.05
Therefore, the value of x is calculated in the same manner,
=> x² = (8.2)² + (11.05)²
=> x² = 67.24 + 122.10
=> x² = 189.34
=> x = √189.34
=> x = 13.76
When we round off this into the nearest tenth the we get the value of x as 13.8.
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jezabel had 1,452 subscribers last week. Now she had 1,483 subcribers. every video she posts gains her about 30 new subcribers. Determaine if the pattern is linear. explain
The pattern isn't linear as the difference in values is different from 30.
How to illustrate if the pattern is linear?From the information, jezabel had 1,452 subscribers last week and now she had 1,483 subcribers.
The difference will be:
= 1483 - 1452
= 31
It was further stated that every video she posts gains her about 30 new subscribers.
This shows that it isn't linear.
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