200 elements are required to be in the sample.
What is a sampling interval of a population?The sampling interval is the frequency with which data is collected. The sampling interval is computed by the division of the total population size by the required sample size.
So, from the information given:
The total population N = 1000The sampling interval (i) = 5The elements that are required to be in the sample i.e. the sample size (n) can be computed by using the formula:
\(\mathbf{i = \dfrac{N}{n}}\)
\(\mathbf{ n= \dfrac{N}{i}}\)
\(\mathbf{ n= \dfrac{1000}{5}}\)
n = 200 elements.
Therefore, we can conclude that 200 elements are required to be in the sample.
Learn more about sampling intervals here:
https://brainly.com/question/28202337
#SPJ4
:>) The senior class at Wildgrove High School is graduating. The number of students
receiving diplomas dictates the duration of the graduation ceremony.
)) s = the number of students receiving diplomas
d = the duration of the graduation ceremony
=
)) Which of the variables is independent and which is dependent?
1)
s is the independent variable and d is the dependent
variable
d is the independent variable and s is the dependent
variable
Submit
Answer:
s is the independent variable and d is the dependent variable.
Step-by-step explanation:
--------- :)
carlos has a box of coins that he uses when playing poker with friends.the box currently contains 45 coins, consisting of pennies , dimes, and quarters.The number of pennies is equal to the number of dimes, and the total value is $3.84. How many of each denomination does he can?
Answer:
number of pennies = 19
number of dimes = 19
number of quarters = 45 - 2 × 19 = 45 - 38 = 7
Step-by-step explanation:
The total number of coins in the box is 45 . The coins consist of pennies, dimes and quarters.
The number of pennies is equal to the number of dimes. The remaining number is the quarters. Therefore,
number of pennies = a
number of dimes = a
number of dimes = 45 - 2a
1 dime = 0.1 dollars
1 penny = 0.01 dollars
1 quarters = 0.25 dollars
Thee total cost can be expressed as follows
3.84 = a(0.01) + a(0.1) + 0.25(45 - 2a)
3.84 = 0.01a + 0.1a + 11.25 - 0.5 a
3.84 = -0.39 a + 11.25
3.84 - 11.25 = -0.39 a
-7.41 = -0.39 a
divide both sides by -0.39
a = -7.41/-0.39
a = 19
number of pennies = 19
number of dimes = 19
number of quarters = 45 - 2 × 19 = 45 - 38 = 7
I'm confused about how to find x.
Two copies of this triangle are used to compose a parallelogram. Which parallelogram cannot be a result of the composition
Answer:
C
Step-by-step explanation:
the basic triangle is 2 units high, and 5/6 units long.
for C to be made of 2 such triangles, each would have to be 6/8 units long. that is a contradiction.
The parallelogram cannot be a result of the given composition. Therefore, option C is the correct answer.
Given that, two copies of this triangle are used to compose a parallelogram.
What is a parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.
Now,
Option A: When we divide parallelogram A into two triangles which are matching with the given triangle.
Option B: When we divide parallelogram B into two triangles which are matching with the given triangle.
Option C: When we divide parallelogram C into two triangles which are not matching with the given triangle.
Option D: When we divide parallelogram D into two triangles which are matching with the given triangle.
The parallelogram cannot be a result of the given composition. Therefore, option C is the correct answer.
To learn more about the parallelogram visit:
https://brainly.com/question/1563728.
#SPJ2
A second- grade student is 4 feet tall. Her teacher is 5 2/3 feet tall. How many times as tall as the student is the teacher
Answer:
1. 17/12
2. 12/17
Step-by-step explanation:
Answer:
17/2!
Step-by-step explanation:
Have a nice day :)
Hope this helps
Evaluate. 68.14 + 0.0007
Answer:
68.1407 us the answer
Step-by-step explanation:
Just add
8. Identify the constant of proportionality between the perimeter of the square below and its side length.
Answer:
yes
Step-by-step explanation:
I believe the yes is yes
1. The length of a rectangular parking lot is 8m longer than its width. The area of
the parking lot is 560m2. What is the length of the parking lot? How about its
width?
Answer:
Length = 20
Breadth = 12
Step-by-step explanation:
If K
3x2 + 5x – 6 and M
– 2x2
-
6x + 7 then K
M
equals
A
5x2 – 3 + 1
–5x2 – 3 + 1
C
5x2 + 11x – 13
D
– 5x2 – 11x + 13
Answer:
5
Step-by-step explanation:
sorry
3a-28-7a+10a
Someone PLEASE HELP
Answer:
6a - 28
Step-by-step explanation:
combine like terms
3a - 28 - 7a + 10a
3a - 7a + 10a = 6a
have a lovely day :)
Answer:
Step-by-step explanation:
the steps are on the pic
symbolab
tiger-algebra
and
geteasysolution
aregoof for math
Is the vertical component of velocity ever zero? If so, where?
The vertical component of velocity can be zero at specific points in the motion of an object.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.
The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.
To learn more about Velocity, Visit
https://brainly.com/question/80295
#SPJ4
Question 5 (5 points)
What is the volume of the right prism?
35 in.
37 in.
12 in.
40 in.
The volume of the right prism include the following: 8,640 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height or depth of a rectangular prism.Next, we would determine the area of the triangle at the base of the right prism as follows:
Base area = 1/2 × ( 36 × 12)
Base area = 1/2 × 432
Base area = 216 in².
Now, we can calculate the the volume of this right prism:
Volume = base area × height
Volume = 216 × 40
Volume = 8,640 in³.
Read more on right prism here: https://brainly.com/question/31245490
#SPJ1
calculate the angular area of the hst’s field of view in square degrees.
The angular area of the HST's field of view is 25 square degrees.
The field of view is the extent of the sky that the Hubble Space Telescope (HST) can observe at a given time. It is usually measured in degrees.
To calculate the angular area, we can use the formula for the area of a circle:
Area = π * (angular size/2)^2
Where π is a mathematical constant approximately equal to 3.14, and the angular size is in degrees.
Let's say the angular size of the HST's field of view is 10 degrees.
First, we divide the angular size by 2:
10 degrees / 2 = 5 degrees
Next, we square the result:
5 degrees * 5 degrees = 25 square degrees
To know more about angular area here:
brainly.com/question/30627197
#SPJ11
If a Tesla Model S P100D in "Ludicrous mode" is pushed to its limit, the first 3.0 s of acceleration can be modeled as a
x
={
(35 m/s
3
)t
14.6 m/s
2
−(1.5 m/s
3
)t
0 s≤t≤0.40 s
0.40 s≤t≤3.0 s
a. How long does it take to accelerate to 60mph ? Your answer, which seems impossibly short, is confirmed by track tests.
The Tesla Model S P100D, when pushed to its limit in "Ludicrous mode," can accelerate to 60 mph in an astonishingly short amount of time. The acceleration profile of the vehicle during the first 3.0 seconds can be modeled using the equation x = (35 m/s³)t + 14.6 m/s² - (1.5 m/s³)t² for 0 s ≤ t ≤ 0.40 s and x = 14.6 m/s² - (1.5 m/s³)t² for 0.40 s ≤ t ≤ 3.0 s.
Explanation:
During the initial phase of acceleration from 0 s to 0.40 s, the equation x = (35 m/s³)t + 14.6 m/s² - (1.5 m/s³)t² describes the motion of the Tesla Model S P100D. This equation includes a linear term, (35 m/s³)t, and a quadratic term, -(1.5 m/s³)t². The linear term represents the linear increase in velocity over time, while the quadratic term accounts for the decrease in acceleration due to drag forces.
After 0.40 s, the quadratic term dominates the equation, and the linear term is no longer significant. Therefore, the equation x = 14.6 m/s² - (1.5 m/s³)t² applies for the remaining duration until 3.0 s. This equation allows us to calculate the position of the car as a function of time during this phase of acceleration.
Now, to determine the time it takes for the Tesla Model S P100D to accelerate to 60 mph, we need to convert 60 mph to meters per second. 60 mph is equivalent to approximately 26.82 m/s. We can set the position x equal to the distance covered during this acceleration period (x = distance) and solve the equation x = 26.82 m/s for t.
Learn more about the acceleration and motion of objects with different equations and how they relate to the performance of vehicles. #SPJ11
It takes around 2.34 seconds for the Tesla Model S P100D in "Ludicrous mode" to accelerate to 60 mph.
To find out how long it takes for the Tesla Model S P100D to accelerate to 60 mph, we need to convert 60 mph to meters per second (m/s) since the given acceleration equation is in m/s.
1 mile = 1609.34 meters
1 hour = 3600 seconds
Converting 60 mph to m/s:
60 mph * (1609.34 meters / 1 mile) * (1 hour / 3600 seconds) ≈ 26.82 m/s
Now, we can set up the equation and solve for time:
x = (35 m/s^3)t^3 + (14.6 m/s^2)t^2 - (1.5 m/s^3)t
To find the time when the velocity reaches 26.82 m/s, we set x equal to 26.82 and solve for t:
26.82 = (35 m/s^3)t^3 + (14.6 m/s^2)t^2 - (1.5 m/s^3)t
Since the equation is a cubic equation, we can use numerical methods or calculators to solve it. Using a numerical solver, we find that the time it takes to accelerate to 60 mph is approximately 2.34 seconds.
Therefore, it takes around 2.34 seconds for the Tesla Model S P100D in "Ludicrous mode" to accelerate to 60 mph.
Learn more about non-uniform motion here: brainly.com/question/30392559
#SPJ11
find a function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.
A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.
In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.
The given function is f'(x) = 3x^3.
No integrating on both side,
f(x) = \(\int3x^3dx\) + C
f(x) = 3x^4/4 + C
As given, the line 81x + y = 0 is tangent to the graph of f.
So, slope at point of tangent; f'(x) = -81
So, 3x^3 = -81
Divide by 3 on both side, we get
x^3 = -27
Taking cube root on both side, we get
x = -3
So putting the value of x in 81x + y = 0, we get
y = 243
Thus, f(x) passes through (-3, 243).
So, 243 = 3/4(81) + C
Multiply by 4 on both side, we get
972 = 243 + 4C
Subtract 243 on both side, we get
4C = 729
Divide by 4 on both side, we get
C = 729/4
So, f(x) = 3x^4/4 + 729/4
To learn more about function link is here
brainly.com/question/21145944
#SPJ4
what is the scale factor of the dilation?
Answer:
17
Step-by-step explanation:
First, find the sides by looking at how many squares are filled. Using that you add to find the perimeter. (In this case, it was 8.5) Take the perimeter and multiply it by 2. Then you have your answer. (17.) If it was the other way around you would multiply by 1/2.
The people at a party tried to form teams with the same number of people on each team, but when they tried to split up into teams of 2, 3, 5, or 7, exactly one person was left without a team. What is the smallest number of people (greater than $\color[rgb]{0.35,0.35,0.35}1$) who could have been at the party?
The smallest number of people when one could have been at the party is 211 people.
How to illustrate the information?This is a least common multiple question, also known as an LCM. We know this because all groups would have formed evenly if the one extra person had not arrived at the party. This means that there are 1 more people at the party than a number 2, 3, 5, or 7.
In this case, the number will be:
= (2 × 3 × 5 × 7) + 1
= 210 + 1
= 211
Applicable multiples of 7
(7 × 10) = 70 → 70 + 1 = 71 → 71/3 = 23 R2 → not possible
(7 × 20) = 140 → 140 + 1 = 141 → 141/3 = 47 → not possible
(7 × 30) = 210 → 210 +1 = 211 → 211/3 = 70 R1 → possible.
Therefore, the number of people is 211.
Learn more about LCM on:
https://brainly.com/question/233244
#SPJ1
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
To more on Progression:
https://brainly.com/question/30442577
#SPJ8
HELP ASSAPPP DUE IN 30 MINN!!( i will crown u)
Mallory extends the frozen yogurt graph below so that it passes through the point (8, q). What is the value of q? Write your answer as a number, i.e., 15. DO NOT WRITE ANY WORDS, JUST THE NUMBER.
Answer: The value of q is 7.5.
Answer:
7.5
Step-by-step explanation:
Brainliest?
i have pieces of strawberry candy (all identical) and pieces of rhubarb candy (all identical). find the number of ways i can distribute this candy to children, if it's ok to not give a child any candy.
If there are 8 pieces of strawberry candy and 7 pieces of rhubarb candy then I have 77 different methods to give this candy to kids who have donated $5.
Number of strawberry candy = 8 pieces
Number of rhubarb candy = 7 pieces
Find the number of ways for equally distributing candy to all 5 children
Using formula:
→ ⁿCr = n!/r(n-r)!
= 8!/5!3!
= 8×7×6×5!/5! 3 × 2 ×1
= 8×7×6/6
= 56
Calculating the distributing way to rhubarb candy:
→ ⁿCr = n!/r(n-r)!
= 7!/5!2!
= 7×6×5!/5! × 2 ×1
= 7×6/2
= 21
Adding both distributing ways:
56+21 = 77 ways
Hence we get the required answer.
Learn more about Combinations here:
brainly.com/question/11732255
#SPJ4
Your question is incomplete. Please find the missing content below.
I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.
how many terms are in the following?
5x-7+8k+2x+k
Answer: 5
Step-by-step explanation:
Terms are single numbers, variables, or the product of a number and variable.
Money Corp. frequently uses a forward hedge to hedge its Malaysian ringgit (MYR) receivables. For the next month, Money has identified its net exposure to the ringgit as being MYR1,500,000. The 30-day forward rate is $.23. Furthermore, Money's financial center has indicated that the possible values of the Malaysian ringgit at the end of next month are $.20 and $.25, with probabilities of .30 and .70, respectively. Based on this information, the revenue from hedging minus the revenue from not hedging receivables is:
The revenue from hedging minus the revenue from not hedging receivables can be calculated by considering the net exposure to the Malaysian ringgit, the forward rate, and the probabilities of different exchange rate outcomes.
To calculate the revenue from hedging minus the revenue from not hedging receivables, we need to compare the outcomes of hedging versus not hedging in terms of the exchange rate.
If Money Corp. hedges its receivables, it will lock in the forward rate of $.23 for the net exposure of MYR1,500,000. Therefore, the revenue from hedging will be:
Revenue from Hedging = Net Exposure * Forward Rate = MYR1,500,000 * $.23
To calculate the revenue from not hedging, we consider the probabilities associated with each exchange rate outcome. The expected revenue from not hedging is calculated by multiplying each possible value by its corresponding probability and summing the results:
Expected Revenue from Not Hedging = (Revenue at $.20 * Probability of $.20) + (Revenue at $.25 * Probability of $.25)
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
if the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters?
The volume of ball is 32.49 cubic centimeter.
What is volume ?
Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.
Here ,
The volume of a ball = 32490 cubic millimeters
To convert into cubic millimeter into cubic centimeter by dividing by 1000, Then,
=> 32490/1000
=> 32.49 cubic centimeter.
Hence the volume of ball in cubic centimeter is 32.49 .
To learn more about volume
https://brainly.com/question/14197390
#SPJ4
Match the equation with the graph.
→
Graph E
Graph F
Graph G
Graph H
Answer:
Graph E: Y= -1/3x +3
Grpah F: Y= 1/2x
Graph G: Y= x-3
Graph H: Y= -x
Step-by-step explanation:
Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x)= x^3+x^2-x-4, [-2,0] absolute maximum= absolute minimum=
The absolute maximum of f(x) on interval [-2, 0] is -5 and absolute minimum is -71/27
How to find absolute maxima and minima?To find the absolute maxima and minima of the given function f(x) = x³ + x² - x - 4 on the interval [-2, 0]:
Find the critical points by taking the derivative of f(x) and setting it equal to 0:
f'(x) = 3x² + 2x - 1 = 0
Solving for x, we get x = -1 or x = 1/3.
Evaluate the function at the critical points and endpoints:
f(-2) = -10f(-1) = -5f(0) = -4f(1/3) = -71/27Compare the values to determine the absolute maximum and minimum:
The absolute maximum is f(-1) = -5 and the absolute minimum is f(1/3) = -71/27.
Therefore, the absolute maximum of f(x) on the interval [-2, 0] is -5 and the absolute minimum is -71/27.
Learn more about absolute maxima and minima
brainly.com/question/18568755
#SPJ11
A circular track has a diameter of 127 m. Find the circumference of the track. Use 3.14 for pie
Answer:
398.982267
Step-by-step explanation:
C=πd
C=π×127
C=127π
C=398.982267
Answer:
398.78 meters
Step-by-step explanation:
Because the formula to find circumference is d*pi, we just plug in our number.
The circumference is 127pi
Then we plug in 3.14 for pi
That's 127 * 3.14
(You can ignore this next part, I just do it out so I can do it in my head) That's 381 + 12.7 + (1.27*4)
381 + 12.7 + (3.81 + 1.27)
381 + 12.7 + 5.08
398.78
Which of the following has no solution?
O 10x + 5 = 3(5x + 7)
52 - 10 = 2 + 20
O 2(6 + 2) = 14 + 2x
O2(4 + 2) = 8 + 2x
Answer:
B is your answer
Step-by-step explanation:
a/an _______ variable is one that has numerical values and still makes sense when you average the data values.
An interval variable is one that has numerical values and still makes sense when you average the data values. This type of variable is used in statistics and data analysis to measure continuous data, such as temperature, time, or weight.
Interval variables are based on a scale that has equal distances between each value, meaning that the difference between any two values is consistent throughout the scale.
Interval variables can be used to create meaningful averages or means. The arithmetic mean is a common method used to calculate the average of interval variables. For example, if a researcher is studying the temperature of a city over a month, they can use interval variables to represent the temperature readings. By averaging the temperature readings, the researcher can calculate the mean temperature for the month.
In summary, interval variables are essential in statistics and data analysis because they can be used to measure continuous data and create meaningful averages. They are based on a scale with equal distances between each value and are commonly used in research studies.
Know more about interval variable here:
https://brainly.com/question/30364592
#SPJ11
si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?
Answer:
ancho: 12 cm
Largo: 14 cm
Step-by-step explanation:
\(P=2a+2l\)
\(l=a+2\)
\(P=2a+2(a+2)=2a+2a+4\)
\(P=4a+4\)
\(52=4a+4\)
\(52-4=4a\)
\(48=4a\)
\(48/4=a\)
\(12=a\)
largo = ancho + 2 = 12 +12 = 14 cm
Hope this helps
The probability of committing a type i error when the null hypothesis is true as an equality is?
When the null hypothesis is true as an equality, the probability of committing a type I error is denoted by α and it is equal to the significance level.
A null hypothesis is a type of hypothesis used in statistics that proposes that no statistical significance exists in a series of given observations. The null hypothesis is a hypothesis that implies that no statistical significance exists in a set of given observations. It is the default assumption in which one begins. In null hypothesis testing, the null hypothesis is typically the statement that there is no difference between two measured phenomena.Type I errorWhen the null hypothesis is correct and we reject it, a Type I error occurs. A type I error, also known as a false positive, occurs when the null hypothesis is rejected when it is true. In other words, the null hypothesis (H0) is correct, but we reject it. A type I error can occur when testing a statistical hypothesis because statistical tests involve a probability of making a mistake.
The null hypothesis is accepted if the value obtained from the test statistic falls within the range of the null distribution. If the test statistic falls outside of the range of the null distribution, the null hypothesis is rejected in favor of the alternative hypothesis. The decision to reject or accept the null hypothesis is based on the comparison of the test statistic to the critical value.
Learn more about null hypothesis visit:
brainly.com/question/30821298
#SPJ11