To fit data to a normal distribution and estimate population percentages, calculate the mean and standard deviation for the data set, use these values to construct a normal distribution, and apply the empirical rule and confidence intervals to estimate population percentages.
Explanation:To use the mean and standard deviation of a data set to fit it to a normal distribution and estimate population percentages, you will need to understand key statistical principles such as standard deviation, the mean, and the normal distribution curve.
Mean and Standard Deviation
The mean, which is an average of all the values in a data set, provides a central value. The standard deviation represents the spread of the data around this mean. A lower standard deviation indicates that the values are closer to the mean, while a higher standard deviation indicates a wider spread.
Fitting Data to a Normal Distribution
A normal distribution, also known as a bell curve, shows how values in a data set are dispersed around the mean. The properties of the normal distribution (68% of data within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations) are known as the empirical rule or the 68-95-99.7 rule.
Estimating Population Percentages
To estimate population percentages using the mean and standard deviation, you construct a confidence interval. This range provides an estimate of where you expect the true population parameter to lie with a certain level of confidence. For example, a 95% confidence interval means that you can be 95% confident that the true population mean lies within this interval.
Learn more about Statistics here:https://brainly.com/question/31538429
#SPJ12
Without subtracting 8.5 - 4.64, determine what digit will be in the hundredths place. Explain
PLEASE HELP PRONTO
I WILL GIVE BRAINLIEST please I really need the answer
HELPPPPPP
Figure X Is translated down 5 and then reflected over the y-axis, forming figure Y
Answer:
Option D.
Step-by-step explanation:
In the graph attached if we consider a point X. We find that the given point or figure is reflected over the y - axis first.
It means x gets a mirror image in second quadrant when reflected over y-axis (equidistant form y-axis) and the coordinates of X' becomes(-3, 2).
Now this point X'(-3, 2) is translated down by 5 units to form a new point Y in third quadrant with the new coordinates (-3, -3)
Y- coordinates of Y = Y coordinates of X' - (-3)
= 2 - (-3) = 5 units down.
Therefore, Option D.is the correct option.
the length and width of a rectangle whose length is 2 centimeters more than the width
L= 2+w
I cannot solve this, however, because you have not included the total perimeter/area
The length and width of a rectangle can be represented as x + 2 cm and x cm, respectively.
Explanation:In this problem, we are given that the length of a rectangle is 2 centimeters more than the width. Let's say the width of the rectangle is x centimeters. Then, the length of the rectangle would be x + 2 centimeters.
So, the dimensions of the rectangle are: length = x + 2 cm and width = x cm.
Learn more about rectangle dimensions here:https://brainly.com/question/31677552
#SPJ3
PLEASE HELP i have no idea how to do this answer will give you 30 points please help
19. 13(x+5)=91
20. (-8)×x-15=30
21. p=23w
22. S=P+2
23. 7
24. -13
25. -8
26. 13
27. -10
28. -72
29. -6
30. 3
Of the children at Molly's daycare, 1/8 are boys and 2/5 of the boys are under 1 year old. How many boys at the daycare are under 1 year old.
To find the number of boys at Molly's daycare that are under 1 year old, we can use the given fractions to calculate the answer.
Explanation:To find the number of boys at Molly's daycare that are under 1 year old, we first need to determine the total number of boys at the daycare. Since 1/8 of the children are boys, we can assume that 1/8 of the total number of children are boys. Let's say there are a total of x children at the daycare. If 1/8 of x represents the number of boys, we can write the equation (1/8) * x = number of boys. Now, we need to find the number of boys that are under 1 year old. Since 2/5 of the boys are under 1 year old, we can write the equation (2/5) * (1/8) * x = number of boys under 1 year old. Simplifying this equation gives us the answer: (1/20) * x = number of boys under 1 year old.
Which expression is equivalent to –21.8 – (–18.3)?
The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.
What is an expression?
Expression in math is defined as the collection of the number, variables and functions by using operations like addition, subtraction, multiplication, and division.
The mathematical expression is given as;
⇒ - 21.8 - (- 18.3)
Now, Solve the expression as;
The mathematical expression is
⇒ - 21.8 - (- 18.3)
= -21.8 + 18.3
(Since, Two negative sign give positive sign after combine.)
After subtract the numbers we get;
= - 3.5
So, The equivalent expression is;
⇒ - 21.8 - (- 18.3) = - 3.5
Thus, The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.
Learn more about the mathematical expression visit:
https://brainly.com/question/13763238
#SPJ6
Please Help! Will Give A Brainliest!!
A map of Australia has a scale of 1cm : 110 km. If the distance between Darwin and Alice springs is 1444 kilometers, how far apart are they on the map, to the nearest tenth of a centimeter
Jay Miller insured his pizza shop for $200,000 for fire insurance at an annual rate per $100 of $.49. At the end of 10 months, Jay canceled the policy since his pizza shop went out of business. Using the tables in the Business Math Handbook that accompanies the course textbook, determine the refund to Jay.
A. $127.40
B. $980
C. $186.20
D. $852.60
The two-way table shows the number of students in a school who have bikes and/or skateboards at home:
Have Bikes
Do Not Have Bikes
Total
Have Skateboards
32
10
42
Do Not Have Skateboards
40
12
52
Total
72
22
How many more students have bikes than skateboards?
10
12
30
50
Help Please!! Gets brainliest
What is a perfect cube and how can you check if a given number is a perfect cube? Explain why.
Answer:
A perfect cube is a number that is the result of multiplying a whole number by itself three times. Check a number by finding the cube root. If the cube root is a whole number, then the number is a perfect cube.
How do you write 2.82 in words
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play outdoor games every week: Weekly Duration of Outdoor Games Time (in hours) 0-2 3-5 6-8 9-11 Number of Students 30 62 8 0 There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week?
Answer:
you been waiting for your answer since 2017 bru im so sorry LLMA O the answer is 840
Answer:
840
Step-by-step explanation:
30 + 62 + 8 = 100
100 x 12 = 1,200
70 people out of 100 do activities for at least three hours a week.
70 x 12 = 840
100 x 12 = 1,200
840/1,200 in the school are expected to play outdoor games for at least three hours every week.
oml you asked this question in 2017. THATS 5 YEARS AGO
sorry
If p is a prime, which one of the following could be a prime also?
F) 23p + 45
G) 23p + 46
H) 23p + 47
J) 23p + 48
K) 23p + 49
Final answer:
The expression that could potentially yield a prime number when p is substituted with a prime number is 23p + 46, since it results in an odd number.
Explanation:
To determine which of the options could also be a prime number, we need to check each expression by substituting a prime number for p. Since we are looking for a possible prime number, we can start by excluding options that will always result in an even number (which can't be prime unless the value is 2).
We know that any prime number p (other than 2) will be odd, and hence 23p will also be odd. Adding an odd number (45, 47, 49) to an odd number results in an even number, which cannot be prime other than 2. On the other hand, adding an even number (46 or 48) to an odd number results in an odd number.
The answer could be 23p + 46 or 23p + 48. However, 48 is divisible by 2, which would make 23p + 48 even (hence not prime for any p greater than 2). Therefore, the only potential expression that could yield a prime is 23p + 46, as long as p is chosen such that the result is not divisible by any other number.
If you spend $9.74 in how many ways can you receive change for a ten-dollar bill
Final answer:
To determine the ways to receive change for a ten-dollar bill when you have spent $9.74, you need to consider the coin denominations that sum up to the remaining $0.26. This is a combinatorial problem known as the 'coin changing problem,' which involves calculating the combinations of coins that can be used to make up the remaining change.
Explanation:
To calculate how many ways you can receive change for a ten-dollar bill, you would need to consider the different denominations of U.S. currency and how they could combine to total the difference between your purchase amount of $9.74 and a $10 bill, which is $0.26.
The ways you can receive change can include a combination of quarters, dimes, nickels, and pennies.
To model this as a mathematical problem, let's calculate the different combinations: You could receive one quarter and one penny, or two dimes and six pennies, or one dime, one nickel, and eleven pennies, and so on.
Since the question asks for the number of ways to receive change and not the specific combinations, we can use combinatorics to determine the total number of combinations.
Note:
Since the actual calculations for combinatorics can be complex and the question does not provide all the necessary details to give a definitive number, we can consider this as an example of a combinatorial problem in mathematics.
The coin changing problem is a classic example that could be applied here, where algorithms can be used to find the number of ways to make change for a certain amount using given denominations.
PLEASE HELP WITH MATH VOCAB THX!!
7(h+3)=6(h-3) pls help
What is the length of the segment of the number line consisting of the points that satisfy (x-4)^2 <= 9$?
The length of the number line segment satisfying the inequality (x-4)² ≤ 9 is 6 units, found by solving the inequality to get the range 1 <= x <= 7 and subtracting the lower endpoint from the higher endpoint.
To find the length of the segment of the number line for the points that satisfy the inequality (x-4)² ≤ 9, we first solve the inequality. Taking square roots of both sides gives us |x-4| ≤ 3.
This means that the distance from x to 4 on the number line is less than or equal to 3. We can express this as two separate inequalities: x-4 ≤ 3 and x-4 ≥ -3. Solving these gives us x ≤ 7 and x ≥ 1, which represent the endpoints of the segment on the number line.
The length of this segment is the difference between the endpoints, which is 7 - 1 = 6. So, the length of the number line segment that contains all points satisfying the original inequality is 6 units.
Using Euler’s Formula (F + V = E + 2), find the number of edges. Faces: 25 Vertices: 17 Edges: ?
This question is based on the concept of Euler’s Formula. Therefore, there are 40 edges.
Given:
Faces: 25 Vertices: 17
We need to determined the number of edges by using the Euler’s Formula (F + V = E + 2).
According to the question,
It is given that,
Faces: 25
Vertices: 17
By using Euler’s Formula ,
F + V = E + 2
Now put all the given values in the formula.
We get,
25 + 17 = E + 2
42 = E + 2
42 - 2 = E
E = 40
Therefore, there are 40 edges.
For more details, prefer this link:
https://brainly.com/question/22069428
Choose the linear inequality that describes the graph. The gray area represents the shaded region
Answer:
The required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].
Step-by-step explanation:
Consider the provided graph.
The y-intercept of the line is, (0,-2)
The x-intercept of the line is, (1,0)
To find the equation of line use the formula:
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute [tex](x_1,y_1)=(0,-2)\text{and}(x_2,y_2)=(1,0)[/tex]
[tex]y-(-2)=\frac{0-(-2)}{1-0}(x-0)[/tex]
[tex]y+2=\frac{(2)}{1}(x)[/tex]
[tex]y+2=2x[/tex]
[tex]y=2x-2[/tex]
Therefore the equation of line is [tex]y=2x-2[/tex].
The graph is solid line and shaded region is above the line. So, use the inequality sign "≥".
Thus, the required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].
Pleaseeee helppppppppp
Erik drove 62 miles per hour for 4.5 hours. Use the equation below to determine how far he drove.
D= r • t
D =distance, r= rate of speed, t= time
r = 62 mph
t = 4.5 hours
d = 4.5*62 = 279 total miles
show the graphical representation of 2/3 using a pie chart.
To produce a pie chart reflecting 2/3, the pie must be divided into 3 equal parts, representing the whole. Two of these sections are then filled in or marked, representing the 2 in the fraction 2/3 or roughly 66.7% of the total pie chart.
Explanation:To create a pie chart representation of the fraction 2/3, you need to think of the pie as representing the whole or 1. From there, we split the pie into 3 equal parts (since your denominator is 3), then, you will shade in 2 of those parts (as your numerator is 2). That shaded area of the pie chart represents 2/3.
It's essential to remember that each slice of the pie in a pie graph represents a share of the total or percentage. Thus, if you consider your pie to be 100%, then each one-third piece would be roughly 33.3%, and two of these would give you approximately 66.7%, which is the decimal equivalent of 2/3.
Learn more about Pie Charts here:https://brainly.com/question/1109099
#SPJ2
a team won 11 of its last 25 games.what percent of its games did the team win?
Hii Thank You So Much For Helping Me And Clicking On My Math Problem I Really Appreciate Your Help So So Much Again Thank You.
7 more than 11 times a number increased by the quotient of y and z
Answer:
brainlist plzz
Step-by-step explanation:
Explain how complex fractions can be used to solve problems involving ratios
Fathi wants to print out a PDF document that is 48 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
Fathi will need 12 sheets of paper to print a 48 page PDF document by printing two pages on each side of the paper. The total page count is halved twice, once for each side of a sheet and again for each pages printed per side.
Explanation:Fathi has a PDF document that is 48 pages long and he wants to print it in a way that saves paper. This involves printing two pages on each side of a sheet of paper and then using both sides of the sheet. To find out how many sheets he will need, we can start by halving the total page count because printing two pages on each side means we effectively halve the number of pages. So, 48÷2 equals 24 'effective' pages. Then, because he's printing on both sides of each sheet, we halve that number again, giving us 24÷2 equal 12 sheets of paper. So Fathi will need 12 sheets of paper to print his 48-page document.
Learn more about Paper Saving Calculation here:https://brainly.com/question/24048916
#SPJ12
A bag contains 5 white marbles, 4 black marbles and 1 red mable find the probability of picking a white marble ?