Answer:
129
Step-by-step explanation:
Considering the survey to be representative, you can simply multiply the share of students p preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.
First we need to find the relative share p of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:
p = 4/(8 + 5 + 4) = 4/17
Then for the whole school we get 550 p ≈ 129.4
Answer:
110
Step-by-step explanation:
4/20 = x/550
550x4 divided by 20 = 110
Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 4/15 = 5/12 = 4/15
b. 4/5 = 12/15 = 4/5
c. 4/12 = 5/15 = 1/3
d. 5/4 = 15/12 = 5/4
Please select the best answer from the choices provided
Answer:
C. 4/12 = 5/15 = 1/3
Step-by-step explanation:
I calculated it logically
Answer:
The answer is A
Step-by-step explanation:
four causes of solar eclips
Answer:
A solar eclipse occurs when the moon gets between Earth and the sun, and the moon casts a shadow over Earth. A solar eclipse can only take place at the phase of new moon, when the moon passes directly between the sun and Earth and its shadows fall upon Earth's surface
the midpoint of the line segment from p 1 p 2 is (- 6, 2) . if p 1 =(-8,2) , what is p 2 ?
HELP ME IF YOU SUPPORT BLM ✊✊✊✊✊
Answer:
a. 9in
b. 0.4 cm or 2/5cm
c. 0.7squnits
d. no measure given
Step-by-step explanation:
hope this helps
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brainliest plzz
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car
can travel on 7 gallons of gas?
O
3 m
63 - 7
о
SIC
0 -
62 m
Answer:
63/x = 3/7
x = 147 miles with 7 gal of gas
Step-by-step explanation:
63/x = 3/7
3x = (63)(7)
3x = 441
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Number of car sold are 98.
Number of trucks sold are 66.
Given,
Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .
Let number of cars sold are x.
Let number of cars sold of y .
Now,
For dealership 1 equation will be,
x + y = 164 ......(1)
For dealership 2 equation will be,
As the cars are sold twice and trucks are sold half .
2x + y/2 = 229......(2)
Solving 1 and 2,
y = 66
x = 98
Thus number of car sold are 98.
Thus number of trucks sold are 66.
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What percentage of 225 is 20
The Solution:
We are asked to determine the percentage of 20 out of 225.
That is,
\(\frac{20}{225}\times100=\frac{20\times4}{9}=\frac{80}{9}=8.8889\approx8.889\text{\%}\)Therefore, the correct answer is approximately 8.889%
Further explanation:
20 out of 225 gives the fraction: 20/225
To write this as a percentage, you have to multiply by 100.
\(\frac{20}{225}\times100=8.8889\text{ \%}\)Hassan predicted that he would sell 178 postcards. He actually sold 142 postcards. What are the values of a and b in the table below?
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Postcards
178
142
a
b
a = negative 36; b = negative 36
a = negative 36; b = 36
a = 36; b = negative 36
a = 36; b = 36
Answer:
its b
Step-by-step explanation:
took the test on edge
Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
3. The table below shows the rates for two duplicating companies.
For what number of pages will the two duplicating stores charge the same amount?
Answer:
250 pages
Step-by-step explanation:
Write an expression for the cost of x pages for each of the companies. Then set the expressions equal, and solve for x, the number of pages.
Quick Copy: 5 + 0.06x
Copy Place: 10 + 0.04x
5 + 0.06x = 10 + 0.04x
0.02x = 5
x = 5/0.02
x = 250
Answer: 250 pages
Check
Quick Copy: 5 + 0.06(250) = 5 + 15 = 20
Copy Place: 10 + 0.04(250) = 10 + 10 = 20
For 250 copies, both places cost $20. 250 copies is the correct answer.
A store sells six-packs of soda for $3:00 a six pack.
If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?
Answer:
y=1/2x
Step-by-step explanation:
Fill in the blank with a number to make the expression a perfect square.
Answer: 36
Step-by-step explanation: We can actually mental math this question, since perfect squares are squares obviously, 6 squared is 36. Hope this helps, 15402256!
A lab assistant is reading the scientist's notes and reads 2.7 × 10 - 4 grams.
How many grams is this?
2,700 grams
0.00027 grams
27,000 grams
0.0027 grams
Answer: 0.00027
Step-by-step explanation: 2.7 × 10 ^-4 = 0.00027
Which equation represents a line which is parallel to the line y = 5x – 5?
A)5x +y = 8
B)2 – 5y = -30
C)y - 5x = 2
D)3 + 5y = 30
Answer:
C) y-5x=2
Step-by-step explanation:
y-5x=2
y=5x+2 parrallel to y=5x-5
Can I get brainliest!
Using slope of the lines, we found that option C line y - 5x = 2 is parallel to given line y = 5x – 5.
What is slope of a line and find it using slope intercept form of a line?Slope of a line is the measure of how steep a line is.
The slope intercept form of a line is y = mx + c
where y is y coordinate, x is x coordinate, m is the slope of the line and c is y intercept.
Also ,if two lines are parallel then their slopes are equal.
Given line is y = 5x - 5 , this line is in slope intercept form y = mx +c
comparing with standard form slope , m = 5
Thus given line is of slope 5
A) 5x + y = 8
⇒ y = -5x +8
Slope of the line y = -5x +8 is -5 ≠ 5 (slope of the given line)
∴ option A is not parallel to y = 5x - 5
B) 2 – 5y = -30
⇒ 5y = 32⇒ y = 32/5
y = 32/5 has slope 0 ≠ 5 (slope of the given line)
∴ option B is not parallel to y = 5x - 5
C.) y - 5x = 2
⇒ y = 5x+ 2
Using slope intercept form slope of option C is 5 = slope of the given
line
∴ option C is parallel to y = 5x - 5
D.) 3 + 5y = 30
⇒ 5y= 27 ⇒ y = 27/5
y = 27/5 has slope 0 ≠ 5 (slope of the given line)
∴ option D is not parallel to y = 5x - 5
Therefore, Option C line y - 5x = 2 is parallel to given line y = 5x – 5.
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h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?
Other answer formats are possible.
===========================================================
Explanation:
Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.
What we'd do is two things
Subtract 54 from both sides Divide by 10So the steps look like this
h = 54 + 10a
h-54 = 10a
(h-54)/10 = a
a = (h-54)/10
Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.
That means the equation h = 54+ca solves to a = (h-54)/c
---------------------------
Why did I do those examples? To build up to the equation your teacher gave you.
Let's replace c with 0.5t^2
This is because 1/2 = 0.5
The 1/2at^2 is the same as (1/2t^2)a
So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)
As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.
Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)
---------------------------
Here's another way to solve:
h = 54 + (1/2)at^2
h-54 = (1/2)at^2
2(h-54) = at^2
2h-108 = at^2
(2h-108)/(t^2) = a
a = (2h-108)/(t^2)
In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
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suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.
Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.
Here,
Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:
$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean
$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean
Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).
Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:
=1 - 1/2²
= 1 - 1/4
= 0.75
This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.
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A class of students recorded the amount of time spent on homework on Monday night.
The times are recorded below, in hours. Use the data to answer question 8
DATA:
1/3
4
2/1
2
2 2/3
4
1 1/3
4
1/1
4
3
3/1
4
3/3
4
2/2
8. Make a line plot small to big of the data shown above. Be sure to include a title and correctly
label each value
Answer:
here is a line plot of the data provided:
|
4.0 | X
|
3.5 |
|
3.0 | X
|
2.5 |
|
2.0 | X X X X
|_________________________
1/3 1 1/3 2 1/3 3
Title: Homework Time on Monday Night
The plot shows the time in hours spent on homework by the students, with each "X" representing one data point. The horizontal axis represents the possible values of the data, and the vertical axis shows the frequency of occurrence of each value.
The values are labeled correctly on the horizontal axis, with each tick mark representing one possible value. The vertical axis is not labeled with specific values, but it is clear that the scale is in increments of
The quotient of twenty and a number, decreased by 4, is equal to zero
The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that number is x,
Quotients of 20 and x will be given as 20/x
20/x - 4 = 0
20/x = 4
x = 20/4 = 5
Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".
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Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
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Let x be the number of points that can be scored on 1 question of a statistics exam. Below is the probability distribution of how students did. x 0 1 2 3 P(x ) 0.13 0.21 0.55 0.11 Find the probability that x is at most 2.
Answer: The probability that x is at most 2 = 0.89
Step-by-step explanation:
Let x be the number of points that can be scored on 1 question of a statistics exam.
Given table: x 0 1 2 3
P(x) 0.13 0.21 0.55 0.11
\(P(X\leq2)=P(X=0)+P(X=1)+P(X=2)\\\\P(X\leq2)= 0.13+0.21+0.55\\\\P(X\leq2)= 0.89\\\\\)
Hence, the probability that x is at most 2 = 0.89
Find the mean, median, and mode for 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7.
Round to the nearest tenth if needed.
answer
for the median its 7
for the mean its 6.
the mode is 9
Step-by-step explanation:
The mode is the value that appears most frequently in a data set.
Median:The number in the MIDDLE when they are IN ORDER!
Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!
The heights of a group of students are normally distributed with a mean of 160 cm
and a standard deviation of 20 cm. In this group of students, find the height of the
shortest 11.9%
11.9% of students have height less than 136.4cm. The solution has been obtained using probability.
What is probability?
Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value.
Let the height be 'd' cm.
We are given mean as 160 cm and standard deviation of 20 cm.
Probability(x>d) = 0.12
Probability(x<d) = 0.881
Probability(z ≤ d-160/20) = 0.881
⇒d-160/20 = 1.1800 (using table)
⇒d-160 = 23.6
⇒d = 183.6
Therefore, d-mean = -23.6
⇒d-160 = -23.6
⇒d = 160-23.6
⇒d = 136.4cm
Hence, 11.9% of students have height less than 136.4cm.
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Pedrobuysawheelbarrowpricedat$86.Shippingandhandlingareanadditional30%oftheprice.HowmuchshippingandhandlingwillPedropay?
The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.
To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:
30% of $86 = 0.3 x $86 = $25.80
Therefore, Pedro will need to pay $25.80 for shipping and handling.
ninety-eight thousand ,five (how to write in numerical)?
Answer:
98005
Step-by-step explanation:
ninety-eight thousand = 98000
five = 5
together = 98005
Set up an equation and solve for x
Answer:
x=22
Step-by-step explanation:
3x+3+27+x+3+2x+18=180
6x+48=180
6x=132
x=22
Rachel works at an electronics store in a shopping mall. Her base pay is $1000 a month. Rachel also receives a commission of 2% of her sales total. The linear model that gives Rachel's total monthly pay, y, in terms of sales total, x, is y = 0.02x + 1000. What is the slope of the line and what does it mean?
the equation of line is y = 0.02x + 1000
the slope of the line is 0.02
and it is representing its commission value or rate of commission
A blimp is flying directly above a football field. The angle of depression to the base of one goal post is 40o. The angle of depression to the base of the other goal post is 72o. If the goal posts are 360 feet apart, how high is the blimp flying
Answer:
237.65 feet
Step-by-step explanation:
From the diagram attached,
Let the height of the blimp above the ground be h
From triangle A of the diagram,
tan18° = (360-y)/h
h = (360-y)/tan18°..................... Equation 1
Also
From triangle B in the diagram,
tan50° = y/h
h = y/tan50°.............................. Equation 2
Equation equation 1 and equation 2
(360-y)/tan18° = y/tan50°
tan50°(360-y) = tan18°(y)
1.19(360-y) = 0.325(y)
428.4-1.19y = 0.325y
428.4 = 0.325y+1.19y
1.515y = 428.4
y = 428.4/1.515
y = 282.8
Substituting the value of y into equation 2
h = 282.8/tan50°
h = 282.8/1.19
h = 237.65 feet.
Charles McCoy is a manager at a coffee shop, and he has to decide how many workers to hire. One worker can make 20 drinks that sell for $3 on average in one hour. A second worker can make another 18 drinks in one hour. The marginal benefit of each additional worker decreases by two drinks, with each additional hire. Given that workers are paid $15 per hour and have eight-hour shifts, how many employees should Charles hire for each hour?
Charles should hire 20 workers for each hour.
To determine the optimal number of workers to hire, Charles needs to compare the marginal cost and marginal benefit of each additional worker.
The marginal benefit of each worker is the additional number of drinks they can produce multiplied by the average selling price per drink. The marginal cost is the hourly wage of each worker multiplied by the number of hours they work.
Initially, the marginal benefit of the first worker is 20 drinks * $3/drink = $60.
The marginal cost is $15/worker * 8 hours = $120.
The second worker has a marginal benefit of 18 drinks * $3/drink = $54.
The marginal cost is still $120.
For each additional worker hired, the marginal benefit decreases by 2 drinks * $3/drink = $6, while the marginal cost remains constant at $120.
Charles should hire workers as long as the marginal benefit is greater than the marginal cost.
Once the marginal benefit is equal to or less than the marginal cost, it is no longer profitable to hire more workers.
Therefore, Charles should hire workers until the marginal benefit is equal to the marginal cost, which occurs when the marginal benefit is $120.
To find out how many workers will provide a marginal benefit of $120, we set the marginal benefit equal to $120 and solve for the number of workers:
$6 * n = $120
$n = 20
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