To compare the sampling distribution, first I would simulate the machine by randomly generating n number of samples between 8 and 10 oz with a uniform distribution and calculate the 4th spread for each sample size. I would then repeat this experiment multiple times and take the average of the fourth spread values for each sample size to compare the sampling distributions.
To compare the sampling distributions of the fourth spread for sample sizes n = 5, 10, 20, and 30, I would simulate the machine by randomly generating samples between 8 and 10 oz with a uniform distribution. For each sample size, I would calculate the fourth spread for each sample and then repeat the experiment multiple times. Finally, I would take the average of the fourth spread values for each sample size to compare the sampling distributions. This way, I would be able to see how the fourth spread changes as the sample size changes. It would also allow me to see how the fourth spread is affected by the uniform distribution of the machine's output.
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52.35 for 15 gallons
The ratio of boys to girls in a class is 2:3. What fraction of the students are girls? If there are 80 boys, how many students are there altogether?
Help asap, please and thank you
To describe the temperatures for the week, we can apply the following statistical tools:
a) Find the mean, median, mode, and range.
c) Construct a line graph.
d) Construct a stem and leaf plot.
What are the statistical tools for describing temperatures?We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).
The mean temperature is the average, which shows the overall trend in temperature changes. It is computed by adding up the temperatures for the period and diving by the number of data values.
In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.
We can estimate the difference between the highest and lowest temperature for the week with the range.
A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.
Thus, we can use Options A, C, and D to describe the temperature.
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Question Completion:What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)
Mon - 65°
Tues - 67°
Wed - 66°
Thur - 70°
Fri - 72°
Sat - 68°
Sun - 69°
a) Find the mean, median, mode, and range.
b) Survey people about the weather.
c) Construct a line graph.
d) Construct a stem-and-leaf plot.
If 243= 3x, what is 3 x- 1?
Answer:
242
Step-by-step explanation:
243-1 is 242
Cones A and B Both have volume 48piπ cubic unit,but have different dimensions.Cone A has radius 6 units and height 4 units. Which answer can be the radius and height of Cone B?A.Radius=2and height = 12 B.Radius =4 and height=9C.Radius=3 and height=4D:Radius=4 and height=6
Answer
Option B is the only correct answer.
The possible dimensions of cone B is Radius = 4, Height = 9
Explanation
The volume of a cone is given as
Volume of a cone = ⅓ (πr²h)
where
π = pi
r = radius of the cone
h = height of the cone
So, for each of these answer options, we will check the volume of the corresponding cone to see which one will give the volume of the cones in the question; 48π cubic units
Option A
Radius = 2 and height = 12
Volume of a cone = ⅓ (πr²h)
r = 2
h = 12
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (2²) (12) = (48π/3) = 16π
This is not the answer because 16π ≠ 48π
Option B
Radius = 4 and height = 9
Volume of a cone = ⅓ (πr²h)
r = 4
h = 9
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (4²) (9) = (144π/3) = 48π
This is an answer because 48π = 48π
Option C
Radius = 3 and height = 4
Volume of a cone = ⅓ (πr²h)
r = 3
h = 4
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (3²) (4) = (36π/3) = 12π
This is not the answer because 12π ≠ 48π
Option D
Radius = 4 and height = 6
Volume of a cone = ⅓ (πr²h)
r = 4
h = 6
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (4²) (6) = (96π/3) = 32π
This is not the answer because 32π ≠ 48π
Hope this Helps!!!
Bhumika buys 3 identical pairs of shoes. Each pair is 40% off the regular price. She pays $110.25 after the discount. What is the regular price of each pair?
Answer:
She buys 3 pairs from store a.
So divide the 110.25 by 3.
You will get the amount that she spent for each pair.
Change 40% to a decimal which would be .40 then you multiply the amount she spent on each pair ($36.75) by the .40.
You will get 14.7 so you add $14.70 to the amount she spent on each and you will get The original price of each pair was $51.45.
Step-by-step explanation:
Mark as Brainliest
Answer:
The original price of each pair was $51.45.
Step-by-step explanation:
Mark other guy brainliest
En una ruleta hay números del 1 al 24.
1. Cuál es la probabilidad que la ruleta pare en un tres.
2. Cuál es la probabilidad que la ruleta pare en un número primo.
3. Cual es la probabilidad que la ruleta pare en un número compuesto.
4. Cuál es la probabilidad que la ruleta pare en un número dividido entre 5.
5. Cuál es la probabilidad que la ruleta pare en un múltiplo de 2.
2. Cuál es el único número primo y par.
3. Defina lo que es un número primo.
4. Defina lo que es un número compuesto.
The probabilities in these cases are 0.125, 0.375, 0.58, 0.16, 0.5 and the only prime and even number is 2.
How to calculate the probability?The probability is defined by the formula: specific outcome/ total possible outcomes. Based on this, let's calculate the probability in each case:
3/24 = 0.1259/ 24= 0.37514/ 24 = 0.584 / 24 = 0.1612/ 24 = 0.5What is a prime and a composite number?A prime number can be defined as a number that can be divided only by 1 and the number itself. On the opposite, a composite number can be divided by at least another number than 1 and itself.
The only prime and even number is 2.
Note: Here is the question in English:
What is the probability of getting a 3?What is the probability of getting a prime number?What is the probability of getting a composite number?What is the probability of getting a number that can be divided into 5?What is the probability of getting a multiple of 2?What is the only prime and even number?Define a prime numberDefine a composite numberLearn more about probability in https://brainly.com/question/30034780
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There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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STAINED GLASS Pablo made the stained glass
window shown. He used an inscribed square and
equilateral triangle for the design.
a. Label the angle measures on the outer edge of the
triangle.
b. Label all of the arcs with their degree measure.
a) The angles outside the side PQ measure 65° and 25°
The angles outside the side QR measure 85° and 95°
The angles outside the side PR measure 55° and 35°
b) The arc PR, PQ and PR measure 120°
a)
Let us assume that the inscribed square be ABCD and equilateral triangle is PQR.
Let side PR of triangle intersects the quadrilateral at points M and N.
So, we get a triangle DMN outside the equilateral triangle.
Here, ∠DMN = 55°, ∠D = 90°
So, ∠MND = 180 - (90 + 55)
= 35°
Similarly, side PQ of triangle PQR intersects the quadrilateral at points X and Y.
So, we get a triangle AXY outside the equilateral triangle.
From triangle PXM we get the measure of angle PXM which is 65 degrees.
As angle PXM and angle AXY are opposite angles, the measure of angle AXY = 65°
∠A = 90°
So, ∠AYX = 180° - (∠A + ∠AXY )
= 180° - (90° + 65°)
= 25°
Let the side QR of triangle PQR intersects the quadrilateral at points L and K.
so we get new quadrilateral LKBC
In this quadrilateral ∠B = 90°, ∠C = 90°
From triangle QYL, we get the measure of angle QLY = 95°
So, the measure of ∠KLB = 95° .......(∠QLY and ∠KLB opposite angles)
So, the remaining angle LKC of quadrilateral LKBC would be,
∠LKC = 360° - (∠B + ∠C + ∠KLB)
∠LKC = 360° - (90 °+ 90° + 95°)
∠LKC = 85°
b)
We know that he angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
so, the measure of arc PR = 120°
the measure of arc PQ = 120°
the measure of arc RQ = 120°
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Melissa reserves another rectangular patch in her vegetable garden for growing bell peppers. Since the space that shecan reserve for a rectangular bell pepper patch depends on how large she makes the tomato patch, she uses function pto represent the area of the bell pepper patch, where x is the length of the tomato patch.Question Match the real world description with the features they represent within the context of melissa’s garden not all tiles will be used.
The function to be used is called "p" and represents the area of the pepper patch to be constructed. It should depend on the length of the tomatopatch (this dimension/variable is called "x")
Therefore, p(x) is how we write the function in mathematical terms.
Now, the domain of this function consists as all domains as the possible x values that could render a viable answer. so, the Domain is:
Domain = {set of all possible lengths of the tomato patch} This description better describes that given in the very first option on the top left.
The y-intercept: Recall that the variable we are representing on the y-axis (vertical axis), and the intersect occurs when the x-value is zero.
So y-intercept = The area of the pepper patch when the length of the tomato patch is zero (last option - bottom right)
x-intercepts: The points at which p is zero, So the length of the tomato patch when the area of the pepper patch is zero. (This is the bottom left option they give you).
The Range: is all possible answer for the area of the pepper patch. Which is best described by the middle top option they gave you.
Which of the following phrases are equations?
3. There are 13,792 books in a library. The library is divided into 16 sections with an equal number of books in each section. The following expression can be used to find the exact number of books in each section. 13,792 + 16 What is the exact number of books in each section of the library?
Answer:
862 books
Step-by-step explanation:
You have to divide
Please help me answer this question ASAP!!
Answer:50 mph= fifty miles per hour
Step-by-step explanation:
that’s the meaning of mph
Answer:
:20.5 miles
Step-by-step explanation:
Answer:
The formula for distance, rate (speed), and time isDistance=rate×timeD=40 (this is the speed he was going for the first customer) × (time)the time is 12/60 because we the speed was in miles per HOUR and the time was in miles per MINUTE. To convert minutes to hours, we divide by 60.D=40× D=48/6D=8 milesSecond trip:D= 50×D=50× (15/60 simplified is 1/4)
D= 12.5 milesANSWER: 8 miles + 12.5 miles = 20.5 miles
and give simple working out :)
5. Write the equation of the line perpendicular2to y=x+3 that passes through the point5(-4,5).
First, we know that the slope of a perpendicular line given the equation of the line it is perpendicular can be found using the following equation:
\(m_p=-\frac{1}{m}\)in this case, we have the line y = x + 3. Then, we have that its slope is m = 1, then, the perpendicular slope is:
\(\begin{gathered} m=1 \\ \Rightarrow m_p=-\frac{1}{1}=-1 \\ m_p=-1 \end{gathered}\)now that we have the slope of the perpendicular line, we can use the point (-4,5) and the slope-point formula to get:
\(\begin{gathered} m_p=-1 \\ (x_0,y_0)=(-4,5) \\ y-y_0=m(x-x_0) \\ \Rightarrow y-5=-1(x-(-4))=-(x+4)=-x-4 \\ \Rightarrow y=-x-4+5=-x+1 \\ y=-x+1 \end{gathered}\)therefore, the equation of the line perpendicular to y = x+3 and passes through the point (-4,5) is y = -x + 1
When constructing a perpendicular bisector of a segment, why should you make arcs with the same radius from each endpoint? Select the true statement.
a. this makes the arcs perpendicular to each other
b. this makes the arcs equidistant from each other
c. this makes the intersections of the arcs equidistant from the endpoints
d. this makes the arcs parallel to the segment
When constructing a perpendicular bisector of a segment, you should make arcs with the same radius from each endpoint as D. this makes the arcs parallel to the segment
What is a perpendicular bisector?A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other words, a perpendicular bisector divides a line segment into two equal parts by intersecting it at a 90-degree angle.
A line segment known as a perpendicular bisector divides a straight line segment into two congruent or equal segments. At the exact midpoint of the line segment, they divide it. The arcs with the same radius from each endpoint is important as this makes the arcs parallel.
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What are the solutions of 3(x - 4)(2x - 3) = 0? Check all that apply.
-4
-3
- 를
c
3
4
Answer:
4 and 3/2
Step-by-step explanation:
\(x = 4 \)
\(2x = 3 \\ x = \frac{3}{2} \)
In a triangle with angles measuring a, b and c degrees, the mean of b and c is a. What is the
value of a?
Answer:
60
Step-by-step explanation:
\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)
Therefore, the value of a is 60 degrees
Suppose the amount of a radioactive element remaining in a sample of 100
milligrams after x years can be described by A(x) = 1002-0.01121x. How much is remaining after
172 years? Round the answer to the nearest hundredth of a milligram.
687.66 mg
0.15 mg
14.54 mg
192.81 mg
Answer:
Step-by-step explanation:
Im sorry we’re are they following?
There are 640 apples in the box if 20% of apples are found to be rotten . How many are good apples ?
Divide (2 3/5) divide sign 2/3
(1 4/5)
(2 9/10)
(1 11/15)
(3 9/10
Answer:
i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php
Step-by-step explanation:
Some students collected the data below. They will graph the data. What is the y-intercept? Your answer should be an ordered pair ( , )
The ordered pair of coordinates is (0, 28)
How to find the Ordered pair ?To answer to the question given, we have to find the point on the line that goes through the points given in the table when the x-axis represents the month of the year and the y-axis represents the average temperature for that month.
We can read out this ordered pair from the attached graph
In conclusion, the graph displays the point on that line which is on the y-axis is (0, 28).
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For this question “ followed by a number will mean to the power of.
I need the solution for x,y, and z with steps please
(3*5)”4*(2*3)”5*(2*5)”7= 2”x*3”y*5”z
Please and thank you
The solution for x, y, and z is x = 2, y = 2, and z = 2.
To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:
Simplify the expressions within the parentheses using the power of operator ("^").
\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)
Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)
\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)
Simplify the expression within the parentheses.
\((15610)^{16 }= 900^{16\)
Express both sides of the equation in terms of prime factors.
\(900 = 2^2 \times 3^2 \times 5^2\)
quate the powers of the prime factors on both sides of the equation.
\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)
From this, we can conclude that x = 2, y = 2, and z = 2.
Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.
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Find the missing probability.
Answer: d
Step-by-step explanation:
what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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Buy 5 get 1 freeNotebooks were sold at $8 each. Marcia spent $120.a) how many free books did she get?b) how many notebooks did she get altogether?c) Mr. Khan got 24 notebooks when he bought some for his children. How much money did he spend?
item a):
Dividing the amount Marcia spent on the notebooks by the unitary price, we can find out how many notebooks she bought. Marcia spent $120, and one notebook costs $8, then, the amount of notebooks she bought is
\(\frac{120}{8}=15\)She bought 15 books. Since every 5 notebooks you buy you get one for free, by dividing the amount of paid notebooks by 5 we get the amount of notebooks you get for free.
Since Marcia bought 15 notebooks, she got
\(\frac{15}{5}=3\)3 notebooks for free.
item b):
Since she bought 15 notebooks and got 3 for free, to find the total we just need to add those values.
\(15+3=18\)She got 18 notebooks altogether.
item c):
If you buy 5 you get one free, this means that every 6 notebooks you get one of them is free. If we divide the total amount of notebooks Mr. Khan got by 6, we get the amount of notebooks that were free. Since Mr. Khan got 24 notebooks
\(\frac{24}{6}=4\)Mr. Khan got 4 free notebooks, therefore, he paid for 20 notebooks.
Since he paid for 20 notebooks, to find the value he spent we multiply the amount of paid notebooks by the unitary cost
\(20\cdot8=160\)Mr. Khan spent $160.
f(x)
g(x)
=∣x∣
=∣x+9∣−5
We can think of
�
gg as a translated (shifted) version of
�
ff.
Complete the description of the transformation.
Use nonnegative numbers.
To get the function
�
gg, shift
�
ff
by
units and to the
by
units.
The function g( x ) is translated to the left by 9 units and down by 5 units.
Given data ,
Let the first function be represented as f ( x )
where the value of f ( x ) = | x |
Let the translated function be g ( x )
where the value of g ( x ) = | x + 9 | - 5
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
On translating to the left , f ( x + a )
So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |
Now , when the function is translated 5 units down , f ( x ) - 5
So , the translated function is g ( x ) = | x + 9 | - 5
Hence , the function is translated to the left by 9 and up by 5 units.
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Give the domain and range.
a. domain: {2, 0, 2), range: {1, 1,3}
b. domain: {-1, 1, 3), range: 1-2, 0, 2}
c. domain: {-2, 0, 2), range:{-1, 1, 3}
d. domain: {1, 1, 3), range: {2, 0, 2}
Answer:
c number option is the correct answer
Mr.Millar's garden is in the shape of a trapezoid shown below. what is the area of his garden
Answer:
\(Area = 12.5m^2\)
Step-by-step explanation:
Given
See attachment
Required
Determine the area
The area is calculated using:
\(Area = \frac{1}{2} * (Sum\ of\ parallel\ sides) * Height\)
From the attached image:
The parallel sides are 4m and 6m respectively while the height is 2,5m
So, the area is:
\(Area = \frac{1}{2} * (4m + 6m) * 2.5m\)
\(Area = \frac{1}{2} * 10m * 2.5m\)
\(Area = 5m * 2.5m\)
\(Area = 12.5m^2\)
4
The portable basketball hoop shown is made so that BA= AS = AK. The measure of BSK is 76. What is m(angle)AKB?
Answer:
have you found the answer