Annette surveyed a total of 480 people.
Let x be the total number of people Annette surveyed. According to the problem, 37.5% of the people surveyed do not want a new mall, and this amounts to 180 people. We can set up the equation:
0.375 * x = 180
Now, let's solve for x:
x = 180 / 0.375
x = 480
If a cylinder has a volume of 2908.33 in^3 and a radius of 11.5 in. What is the height of the cylinder
*
5 in
6 in
7 in
8 in
If a cylinder has a volume of 2908.33 in³ and a radius of 11.5 in, the height of the cylinder include the following: C. 7 inches.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the parameters, we have the following:
2908.33 = 3.14 × 11.5² × h
Height, h = 7.00 inches.
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4. Construct a circle with center V. Construct an equilateral triangle RST inscribed within the circle.
A circle with center V and an inscribed equilateral triangle RST.
What is circle?
A circle is a closed two-dimensional shape consisting of all the points that are equidistant from a given point, called the center.
To construct a circle with center V and an inscribed equilateral triangle RST, follow these steps:
Draw point V as the center of the circle.
From point V, draw a radius that will serve as one side of the equilateral triangle RST. Label the endpoint of this radius as point S.
Using a compass, draw a circle with center V and radius VS. This circle will intersect the radius VS at two points, label these points as R and T.
Draw segments RT and RS to complete the equilateral triangle RST.
Your construction should show a circle with center V and an inscribed equilateral triangle RST.
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If a pattern repeats 5 times which is pentogon pentogon and so on what is the 18th term
To find the 18th term of a pattern that repeats 5 times (which is a pentagon), we need to divide 18 by 5, which gives us a quotient of 3 and a remainder of 3.
This means that the pattern repeats 3 times, and we need to find the 3rd term of the pattern after the third pentagon.
The third term of the pattern after the third pentagon would be the fourth pentagon in the sequence, since each pentagon consists of 5 terms. Therefore, the 18th term would be the third term of the fourth pentagon in the sequence, which is the 13th term overall.
So the 18th term in the sequence would be the 13th term of the pattern, which is another pentagon.
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what do all circle theorems have in common (30 points)!!
PLEASE HELP AND SHOW WORK! EXPLAIN HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST!!!!
The time it will take to fill the pool at the given rate would be = 8 mins.
How to calculate the volume of the cylindrical swimming pool?To calculate the volume of the cylindrical swimming pool the formula for the volume of the cylinder should be used which is = πr²h
where r = 5ft
h = 8ft
volume = π×5×5×8 = 200πft³
If 25πft³ = 1 minute
200πft³ = X
Make X the subject of formula;
X = 200/25 = 8mins
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A number line going from negative 2 to positive 1. What is the correct order of the fractions from least to greatest? Point A: −11 3 Point B: −2 3 Point C: 1 3 Point D: −12 3 The correct order for the fractions is .
Answer:
D, A, B, C
Step-by-step explanation:
-12/3, or -4, is lowest
-11/3, or -3.6, is 0.3 more, therefore closer to 0.
-2/3, or -0.6, is much closer to 0, precisely 3 units closer.
1/3, or 0.3, is the only positive number, so it is the most amount.
What is the
intermediate step in the form
(x + a)² = b as a result of completing
the square for the following equation?
-5x² 10x = -315
Answer:
To complete the square for the equation -5x² + 10x = -315, we can follow these steps:
Move the constant term (-315) to the right side of the equation:
-5x² + 10x + 315 = 0
Divide both sides of the equation by the coefficient of the x^2 term (-5) to get a coefficient of -1 for the x^2 term:
x² - 2x - 63 = 0
Add the square of half the coefficient of the x term to both sides of the equation:
x² - 2x + 1 - 1 - 63 = 0 + 1
Simplify the left side of the equation by factoring the quadratic trinomial and combining like terms:
(x - 1)² - 64 = 1
Add 64 to both sides of the equation:
(x - 1)² = 65
So the intermediate step in completing the square for -5x² + 10x = -315 is:
(x - 1)² - 64 = 1
This is the result of adding the square of half the coefficient of the x term (-1) to both sides of the equation and simplifying.
Solve for x. Type your answer as a number in the blank without "x=".
Applying the side-splitter theorem, the value of x in the image given is calculated as: x = 5.
How to Apply the Side-Splitter Theorem?The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle and intersects the other two sides, the ratio of the length of the two segments of the divided sides is equal to the ratio of the lengths of the sides that form the two smaller triangles.
Using this theorem, we van apply it to solve for x in the image given:
24x/(24x - 50) = 84/49
Solve for x:
24x(49) = 84(24x - 50)
1,176x = 2,016x - 4,200
1176x - 2016x = -4200
-840x = -4,200
x = -4200/-840
x = 5
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( 24 – 59 ) – ( 48:2 -60)
Answer:
1
Step-by-step explanation:
Use PEMDAS rules to answer this.
Parentheses first:
[tex](24-59)=-35[/tex]
Division next:
[tex]48:2=24[/tex]
Subtraction:
[tex]24-60=-36[/tex]
Currently we have:
[tex](-35)-(-36)[/tex]
This becomes:
[tex]-35+36 = 1[/tex]
Fine the horizontal asymptote of the graph of y = -4x^6+6x +3/8x^2=9x+3
Answer:
There are different methods to find the horizontal asymptote of a function, but one common approach is to take the limit of the function as x approaches positive or negative infinity. If the limit exists and is a finite number, then that is the horizontal asymptote.
To apply this method to the given function:
y = (-4x^6+6x +3)/(8x^2+9x+3)
As x becomes very large (either positive or negative), the highest power of x in the numerator and denominator dominates the other terms. This is because exponential functions grow or shrink much faster than polynomials as x goes to infinity or negative infinity.
Therefore, we can simplify the function by dividing both numerator and denominator by x^6:
y = (-4 + 6/x^5 + 3/x^6)/(8/x^4 + 9/x^5 + 3/x^6)
As x approaches infinity, all the terms with negative powers of x go to zero, leaving:
y ≈ (-4 + 0 + 0)/(0 + 0 + 0)
This is an indeterminate form of 0/0, which suggests that we need to do more algebraic simplification. One way to do this is to factor out the highest power of x in both numerator and denominator:
y ≈ (-4/x^6 + 6/x^11)/(8/x^4 + 9/x^5 + 3/x^6)
y ≈ (-4/x^6)(1 - 6x^5)/(8/x^4)(1 + 9x/x^4 + 3/x^2)
Now, as x approaches infinity, the fraction becomes dominated by the leading terms:
y ≈ (-4/x^6)(-6x^5)/(8/x^4)(9x/x^4)
y ≈ (24/72)(1/x)
As x goes to infinity, 1/x goes to zero, so:
y ≈ 1/3x
Therefore, the horizontal asymptote of the graph of y = (-4x^6+6x +3)/(8x^2+9x+3) is y = 1/3x.
Central Limit Theorem forms the foundation for the ___ branch of statistics
Central Limit Theorem forms the foundation for the inferential statistics branch of statistics
The Central Limit Theorem is a statistical concept that describes the behavior of the mean of a sufficiently large sample size drawn from any population with a finite mean and variance.
The Central Limit Theorem is a fundamental concept in statistics that states that, under certain conditions, the distribution of sample means approaches a normal distribution regardless of the shape of the population distribution. This theorem provides a basis for inferential statistics, which involves making inferences about a population based on a sample.
It allows us to use sample statistics to estimate population parameters with a certain level of confidence. This theorem has practical applications in many areas of research, such as in quality control, social sciences, and healthcare.
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A single 6-sided die is rolled which BEST describes the probability of rolling a number 4 or less
A. likely
B.impossible
C.certain
D. unlikely
In the 2020-21 season, Chris Paul had a free throw percentage of 93.4 what does this mean
For every 100 free throws Chris Paul attempted, he made approximately 93 of them.
We have,
Chris Paul's free throw percentage of 93.4 means that he made 93.4% of his free throw attempts during the 2020-21 season.
In other words, for every 100 free throws he attempted, he made approximately 93 of them.
This is a high free throw percentage and indicates that Chris Paul is a skilled free throw shooter.
Thus,
For every 100 free throws Chris Paul attempted, he made approximately 93 of them.
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The volumes of two similar prisms are 135 ft^3 and 5000ft^3
a. Find the ratio of their heights.
b. Find the ratio of the area of their bases.
The ratio of the areas of the bases of the two similar prisms is approximately 26 to 1.
What is the scale factor?
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Let h1 and h2 be the heights of the two similar prisms, and let A1 and A2 be the areas of their respective bases.
Also, let k be the scale factor that relates the smaller prism to the larger prism.
a. We know that the volumes of the two similar prisms are proportional to the cubes of their corresponding side lengths, so we have:
(kh1)³ / (kh2)³ = 135 / 5000
Simplifying this expression, we get:
h1³ / h2³ = 135 / 5000
Taking the cube root of both sides, we get:
[tex]h1 / h2 = (135 / 5000)^{(1/3)}[/tex]
Using a calculator, we find:
h1 / h2 ≈ 0.405
Therefore, the ratio of the heights of the two similar prisms is approximately 0.405 to 1.
b. The ratio of the areas of the bases of two similar prisms is equal to the square of the scale factor. That is:
A1 / A2 = k²
To find the scale factor k, we can use the fact that the volumes of the two prisms are proportional to k³. Therefore:
k³ = 5000 / 135
k ≈ 5.091
Using this value of k, we get:
A1 / A2 = k² = (5.091)² ≈ 26
Therefore, the ratio of the areas of the bases of the two similar prisms is approximately 26 to 1.
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a. This dot plot shows the ages of students in a swimming class. How many students
are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain
your reasoning.
b. The class is an adult swimming class.
C. Half of the students are between 2 and 3 years old.
a). There are a total of 10 students in the class, according to the dot plot.
b). The students' ages, which vary from 1 to 5, indicate that this is not an adult swimming lesson.
c). Thus, just 20% (2/10) of the students are toddlers or preschoolers.
What is number?Numbers are mathematical units of measurement and labelling. It is an ethereal idea that can stand in for many different material quantities, including time, money, and distance. Real numbers, complex numbers, and even irrational numbers can all be considered numbers in mathematics.
Numbers are frequently employed in mathematical equations to express relationships and to represent data. They are also employed in the development of models, patterns, and data analysis.
a). There are a total of 10 students in the class, according to the dot plot.
b). The programme is a swimming lesson for adults.
No, it doesn't seem to be an adult swimming lesson based on the dot plot. The students' ages, which vary from 1 to 5, indicate that this is not an adult swimming lesson.
c). The majority of the students are between the ages of 2 and 3.
No, it doesn't seem like half of the students are between the ages of 2 and 3, according to the dot plot. There are two students who are two years old, one who is three, two who are four, and five who are five. Thus, just 20% (2/10) of the students are toddlers or preschoolers.
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A sailor can send messages by displaying flags of
different colors. He has a flag staff that has room for 3
flags. He has 4 flags that he can use for the top position,
3. flags that can be used for the middle position, and 2
flags that can be used for the bottom position. How many´
combinations of flag messages can be used?
Using combinations we know that 24 combinations of the flags can be used.
What are combinations?Combinations are mathematical procedures that count how many different ways a collection of items could be arranged when the order in which they are chosen is immaterial.
Combos' components can be chosen in any hierarchy.
Combinations and permutations can coexist.
The expression "Selection of things" refers to a circumstance in which the chronology of occurrences is unimportant.
So, we know that we have 3 types of flags which are:
4 flags for the top position.
3 flags for the middle position.
2 flags for the bottom position.
Now, different combinations would be:
4 * 3 * 2 = 24
Therefore, using combinations we know that 24 combinations of the flags can be used.
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A study has a 2 Ã 2 Ã 3 within-groups factorial design. This example has a total of ___ cell(s). Researchers would need to investigate ___ main effect(s), ___ two-way interaction(s), and ___ three-way interaction(s) in this study.
A study has a 2 Ã 2 Ã 3 within-groups factorial design. This example has a total of _12_ cell(s). Researchers would need to investigate _three__ main effect(s), _Three two-way interactions __ two-way interaction(s), and _ One three-way interaction__ three-way interaction(s) in this study.
a 2 x 2 x 3 within-groups factorial design, you have:
A total of 2 x 2 x 3 = 12 cells
Three main effects to investigate (one for each factor)
Three two-way interactions to investigate (AxB, AxC, and BxC)
4. One three-way interaction to investigate (AxBxC)
So, in this study, there are 12 cells, researchers would need to investigate 3 main effects, 3 two-way interactions, and 1 three-way interaction.
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Two vectors are linearly dependent if and only if they lie on a line through the origin.
a. true b. false
an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 130 engines and the mean pressure was 5.9 lbs/square inch. assume the standard deviation is known to be 1 . if the valve was designed to produce a mean pressure of 5.8 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? state the null and alternative hypotheses for the above scenario.
Here the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level that the valve performs above specifications.
We have to evaluate null and alternative hypotheses for the scenario .
In this scenario, the null hypothesis is
H0: μ = 5.8
here
μ = true mean pressure produced by the valve.
Now for the alternative hypothesis is
HA: μ > 5.8
here
μ = true mean pressure produced by the valve.
Therefore to determine if there is sufficient observation at the 0.05 level that the valve performs above specifications,
Here we can utilize a one-tailed z-test with
α = 0.05
Then, test statistic can be evaluated as
z = (X' - μ) / (σ / √n)
where:
X' = sample mean
μ = hypothesized value concerning the population mean
σ = population standard deviation
n = sample size
Substituting in our values, we get:
z = (5.9 - 5.8) / (1 / √130) = 1.8856
Now utilizing a z-table we can evaluate that the p-value associated with this test statistic is approximately 0.0292.
Since this p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level that the valve performs above specifications.
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part one complete the table then plot the ordered pairs on the coordinate plane make sure to label each point with its corresponding letter
The table of ordered pairs is completed below
Completing the table of ordered pairsHere is the completed table and plotted points:
Point x y (x,y)
A 4 9 (4,9)
B 6 3 (6,3)
C 1 3 (1,3)
D 8 7 (8,7)
E 8 9 (8,9)
To plot these ordered pairs on a coordinate plane, we need to draw the x and y axes, and label the units on each axis.
Then we can plot each point by starting at the origin (0,0) and moving horizontally (to the right if x is positive, or to the left if x is negative) and vertically (up if y is positive, or down if y is negative) to the corresponding point.
The points plotted on the coordinate plane are attached
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Complete questionComplete the table. Then, plot the ordered pairs on the coordinate plane. Make sure to label each point with its corresponding letter.
x y (x, y)
A 4 9
B 6 3
C 1 3
D 8 7
E 8 9
HELP IS VERY MUCH APPRECIATED
1.75 in or 1 3/4 in (which ever form you need it in)
youre given the diameter and so to find radius, you simply divide the diameter by 2.
A radioactive substance has an initial mass of 475 grams and a half-life of 20 days. What equation is used to determine the number of days, x, required for the substance to decay to 63 grams?
The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60
To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:
N(t) = N₀ * (1/2)^(t/h)
Where:
N(t) is the remaining mass of the substance at time t
N₀ is the initial mass of the substance
t is the time elapsed
h is the half-life of the substance
In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:
63 = 475 * (1/2)^(x/20)
To solve for x, we can isolate the exponential term on one side of the equation:
(1/2)^(x/20) = 63/475
Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:
log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)
By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:
x/20 = log(base 1/2) (63/475)
Finally, we can solve for x by multiplying both sides of the equation by 20:
x = 20 * log(base 1/2) (63/475)
Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:
x ≈ 20 * 4.1802
x ≈ 83.60
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Jerome is a photographer. He earns $125 per hour
(d) Part D
Create a graph of the data from the table.
The graph of the data from the table is added as an attachment
Creating a graph of the data from the table.From the question, we have the following parameters that can be used in our computation:
Jerome is a photographer. He earns $125 per hour
This means that the equation of the function is
f(x) = 125x
Where x is the number of hours he works
Using the above as a guide, we have the following table of values
x f(x)
1 125
2 250
3 375
4 500
5 625
6 750
Next, we plot the graph from the table of values and the function f(x) = 125x
The graph of the function is added as an attachment
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The actual dimensions of a rectangle are 10ft by8ft. David measures the sides to be 10.46 ft by 7.53 ft. In calculating the area, what is the relative error, to the nearest hundredth.
The relative error in calculating the area of the rectangle is 0.0155.
What is the relative error?The relative error means ratio of the absolute error of the measurement to the actual measurement.
The actual area of the rectangle is:
= 10 ft x 8 ft
= 80 sq ft
The measured area is:
= 10.46 ft x 7.53 ft
= 78.7638 sq ft
The relative error derive by the following formula:
= (Real - Measured)/Real
= (80 - 78.7638)/80
= 0.0154525
= 0.0155.
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The measure of an angle is 17.9°. What is the measure of its supplementary angle?
Answer:162.1
Step-by-step explanation:We know that the sum of supplementary angles is 180°Let the unknown angle be xThus,100° + x = 180°X = 180° – 100°X = 80°Hence, the unknown angle is 80 …I did it my own way ok…
need help asap!!!!!!
Please and thank you!
Answer:i thing the anwser is 56
Step-by-step explanation:
annie sold her camers for $250 making a loss of 12% what price was the camera when annie bought it? round your answer to the nearest cent
Let's assume that the original price of the camera is x.
Since Annie sold the camera at a loss of 12%, the selling price is 88% of the original price.
So we can set up the equation:
0.88x = $250
To solve for x, we can divide both sides by 0.88:
x = $250 ÷ 0.88
x = $284.09
Therefore, the original price of the camera was $284.09.
ANSWER ASAP AND PLEASE BE CORRECT FOR BRAINLIST PLEASE HURRY IT'S DUUE IN 4 MORE HOURS AND I WILL FAIL PLEASE HELP ME !
Question 12
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
Question 13
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.
Question 14
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
12) There were about 557 principals in attendance. 13) Option A: The college will have about 480 students who prefer cookies. 14) Option C: bar graph, title favorite sport and the x axis labeled sport and the y axis.
What is proportion?The relationship between two quantities that are measured on the same scale and in the same units is known as a percentage. The relative size or magnitude of one thing in comparison to another is represented by proportions, which are frequently stated as ratios, fractions, or percentages. For instance, if there are 8 girls and 12 boys in a class, the girl-to-boy ratio is 8:12, or 2:3, which indicates that there are 3 guys for every 2 girls. Statistics, geometry, and physics are just a few of the mathematical and scientific disciplines that use proportions. Proportions are frequently used in statistics to describe the distribution of a population or a sample.
12) For the number of principals in conference we set up a proportionality with total people as follows:
We know that, 52 principals out of 70 people thus:
52/70 = x/750
Now,
x = (52/70) * 750
x = 557.14
Hence, we can predict that there were about 557 principals in attendance at the conference.
13) Given that, out of 225 students 27 prefer cookies thus,
27/225 = 0.12
That is 12% students like cookies.
Now, for the total number of students we have:
0.12 * 4000 = 480
Thus, option A: The college will have about 480 students who prefer cookies.
14) For the collected data the best representation is option C: bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.
15) For the given description of the line plot the median is:
For Bus 47 = 16
For Bus 18 = 13
The faster bus is Bus 47, with a median of 16.
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Brad rolled a cube number cube 30 times and recorded the results in the tally chart below which what is the experimental probability of rolling a five
Question 85
The distance between the end of the water supply pipe and the sink should be how many times the diameter of the supply pipe?
a. 1-1/2
b. 2 c. 3
d. 4
The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.
The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.
The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.
This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.
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