To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them.
The problem with either the mean or the median as a measure of center in this case is that the data is not separated by gender, and the shoe size distributions for men and women are likely to be different. Therefore, computing the mean or median shoe size across all students may not accurately represent the typical shoe size for men or women separately.
For example, if the men in the sample have, on average, larger shoe sizes than the women, then the mean shoe size across all students may be biased towards the larger sizes, even though the majority of the students are women. On the other hand, if there are a few male students with very large shoe sizes, then the median shoe size across all students may be biased towards the larger sizes as well, even if most of the students are women with smaller shoe sizes.
To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them. Alternatively, a better measure of center might be to report the mode, which represents the most common shoe size in the data.
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What is the period of the function f(x) shown in the graph?
Enter your answer in the box.
Basic
Answer:
Period is [tex]\mbox{\huge {\boxed{\pi }}}[/tex]
Step-by-step explanation:
Each gridline marker on the horizontal axis is π/4
The period of this function is the horizontal displacement at which the function starts to repeat itself
Looking at the function we see that the minimum value of the function is 1 and occurs first at -π/4 and then at 3π/4
So the period is 3π/4 - (-π/4) = 3π/4 + π/4 = (3/4 + 1/4)π = π
We could also double check this using another point of reference
let's take the peaks of the function
The first peak visible is at -3π/4 and the next peak at π/4
So the period = π/4 - (-3π/4) = π/4 + 3π/4 = π
a group of 100 people contains 60 democrats and 35 republicans. if there are 60 women and 40 of the democrats are women, what is the probability that a person selected at random is a democrat or a woman?
The probability of selecting a person who is either a Democrat or a woman is 0.8, or 80%.
Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of an event occurring.
Let's start by finding the probability of selecting a Democrat. We are given that there are 60 Democrats in the group of 100 people. Therefore, the probability of selecting a Democrat at random is:
P(Democrat) = 60/100 = 0.6
Next, let's find the probability of selecting a woman. We are given that there are 60 women in the group of 100 people. Therefore, the probability of selecting a woman at random is:
P(Woman) = 60/100 = 0.6
Now, we need to find the probability of selecting both a Democrat and a woman. We are given that 40 of the Democrats are women. Therefore, the probability of selecting a woman who is also a Democrat is:
P(Democrat and Woman) = 40/100 = 0.4
To find the probability of selecting a person who is either a Democrat or a woman, we add the probabilities of selecting a Democrat and selecting a woman, and then subtract the probability of selecting both a Democrat and a woman. Therefore, the probability of selecting a person who is either a Democrat or a woman is:
P(Democrat or Woman) = P(Democrat) + P(Woman) - P(Democrat and Woman)
= 0.6 + 0.6 - 0.4
= 0.8
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Find the answer pls. this is imo lvl 2 questuin
Answer:
50) i. C 800cm^2
50)ii. B 120cm
Step-by-step explanation:
Use the picture in its given 2-d to mark the unknown measures. Such as, the gray rectangle on top has a bottom that is also 20 and the left side is 15.
The small horizontal jutting out on the left mid-way down is 5cm same as the 5cm just below.
When you mentally "unfold" the shape to its full rectangular shape and size, all the lengths are marked.
Use:
Area=length×width
and,
Perimeter
=L + w + L + w
There are lots of perimeter formulas, for perimeter, you just add up all the sides all the way around the shape.
see image.
A small town has two local high schools. High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same.
The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.
What exactly is a linear equation?
The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.
Now,
As given that High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year.
Let A represent the number of students in High School A in t years, and
Let B represent the number of students in High School B after t years.
Then A=initial students+35*no. of years and B=initial students+55*no. of years i.e. A=1000+35t and B=700+55t
and for A=B
1000+35t=700+55t
55t-35t=1000-700
20t=300
t=15
hence,
The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.
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how many four-digit numbers are made up of four consecutive numbers from 1-9 in some order, like 5342 or 7658?
There 144 four digit numbers are made up of four consecutive numbers from 1 to 9
We can approach this problem by counting the number of ways we can choose four consecutive numbers from 1-9 and then arranging them in a four-digit number.
Here we have to use combination
There are 6 possible sets of four consecutive numbers in the range 1-9
= {1,2,3,4}, {2,3,4,5}, {3,4,5,6}, {4,5,6,7}, {5,6,7,8}, and {6,7,8,9}.
For each set, there are 4! = 24 ways to arrange the four numbers into a four-digit number.
So the total number of four-digit numbers made up of four consecutive numbers from 1-9 is:
6 sets × 24 arrangements per set = 144
Therefore, there are 144 such four-digit numbers.
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The axis of symmetry for the graph of a parabola is x = 3. If one point on the graph of the parabola is (0, -5), then another point on the graph is:
A. (6,-5)
B. (0, 2)
C. (3.-5)
D. (-5.0)
Answer:
A
Step-by-step explanation:
For any given point on a parabola,
(x,y)
If we know the axis of symmetry x=a.
We can find the other point
If the given point x value is less than the axis of symmetry
(x+2a,y)
if the given point y value is greater than axis of symmetry
(x-2a,y)
Here, since 0<3, we use the first formula to find the new point
(0+2(3),-5)=(6,-5)
So the point is A.
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 slices of pie the college will need? The college will have about 480 students who prefer pie. The college will have about 640 students who prefer pie. The college will have about 1,280 students who prefer pie. The college will have about 1,440 students who prefer pie.
The college will have about 640 students who prefer pie. We can calculate percentages based on the student sampling of 225 students (assuming it was a completely random sample, and not one taken just from a specific group, such as football players at half-time).
What is random sample?
A simple random sample is a subset of a statistical population where each member has an equal chance of being selected. Unbiased representation of a group is what a straightforward random sample is supposed to be.The researcher uses simple random sampling, a type of probability sampling, to randomly select a subset of individuals from a community. Every member of the population has the same chance of being selected.A random experiment has a result known as a sample. One particular value is chosen at random from a pool of potential values when we sample a random variable.A sample is that specific value. The probability distribution of the random variable specifies the possible values and their probabilities.To make a prediction, we need to assume that the preferences of the 225 students surveyed are representative of the entire student population of 4,000. We can use the proportion of students who prefer pie in the sample to make an estimate.
The proportion of students who prefer pie in the sample is:
36/225 = 0.16
We can use this proportion to estimate the number of students who prefer pie in the entire population:
4,000 x 0.16 = 640
Therefore, the best prediction about the slices of pie the college will need is that the college will have about 640 students who prefer pie. So the option "The college will have about 640 students who prefer pie" is the correct statement.
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A right triangle has an area of 36 square units if you draw scaled copies of this triangle using the scale factor in the table, what will the areas of these scaled copies be? Explain or show your reasoning
The areas of the scale factors 2, 3, 5, 1/2 and 2/3 are 144, 324, 900, 9 and 16 square units respectively.
The area of the right triangle = 36 square units
Scale factor of each scaled copies of the right triangles are given
Scale factor = 2
Then the area will be = Area at scale factor 1 × square of scale factor
Substitute the values in the equation
Area = 36 × 2^2
= 36 × 4
= 144 square units
Scale factor = 3
Area = 36 × 3^2
= 36 × 9
= 324 square units
Scale factor = 5
Area = 36 × 5^2
= 36 × 25
= 900 square units
Scale factor = 1/2
Area = 36 × (1/2)^2
= 36 × 1/4
= 9 square units
Scale factor = 2/3
Area = 36 × (2/3)^2
= 36 × 4/9
= 16 square units
Therefore, area of the each scale factor has been found
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The given question is incomplete, the complete question is :
A right triangle has an area of 36 square units if you draw scaled copies of this triangle using the scale factor in the table, what will the areas of these scaled copies be?
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 45.2 is the most accurate to use to show that they need more money.
The median of 49 is the most accurate to use, since the data is skewed.
The mean of 49 is the most accurate to use to show that they have plenty of money.
The mean of 45.2 is the most accurate to use, since the data is skewed.
The best measure of center for this data is the median, and its value is 49.
What is the median in statistics?
In statistics, the median is a measure of central tendency that represents the value separating the higher half of a dataset from the lower half.
To find the median of a dataset, the values must first be arranged in order of magnitude. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.
To determine the best measure of center for this data, we need to consider the shape of the distribution. Looking at the histogram, we can see that the data is skewed to the right, with a long tail of higher values.
In this case, the median is the best measure of center, because it is not affected by the extreme values in the dataset. The median is the middle value of the dataset when it is arranged in order, and in this case, the middle value is between 49 and 50. Since there are an even number of data points, we take the average of the two middle values, which gives a median of 49.
We are given that;
The list of donation is as follows
11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59
Now,
Mean is the middle term of the data
Here,
Middle term of data = 49
Therefore, the mean of the given list will be 49.
Therefore, the best measure of center for this data is the median, and its value is 49.
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Answer: The median of 49 is the most accurate to use, since the data is skewed.
Step-by-step explanation:
Jordan is a wildlife photographer. Today they are taking a picture of a Mountain
Goat. The Mountain Goat is 5,000 feet up a mountain and Jordan is 200 feet from
the base of the mountain. What angle of elevation does the camera need to be at for
the picture? Round to the nearest tenth.
does -8(v+1)=2(1-4v)-9 have no solutions one solution or all numbers are solutions if its one solve for v
Answer:
No solutions
Step-by-step explanation:
[tex]-8(v+1)=2(1-4v)-9\\-8v-8=2-8v-9\\8=-7\\8\neq-7[/tex]
Hence, there are no solutions to make both sides of the equation true.
Solve this(the best answer and explanation gets brainliest)
Answer: 5/12
Step-by-step explanation:
- For the ease of the problem, turn them into improper fractions, so it would be:
13/3 divided by 14/5 divided by 26/7
- Next, let's turn the equation from division to multiplication. This can be done by flipping the fractions of everything being divided, so:
13/3 times 5/14 times 7/26
- We can cross out some parts of the fraction, like 13 and 26, 14 and 7, which simplifies our equation to:
1/3 times 5/2 times 1/2 = 5/12
Answer:
[tex]\dfrac{5}{12}[/tex]
Step-by-step explanation:
Given equation:
[tex]4 \frac{1}{3} \div 2 \frac{4}{5} \div 3 \frac{5}{7}[/tex]
Convert the mixed numbers into improper fractions:
[tex]\dfrac{4 \times 3+1}{3} \div \dfrac{2 \times 5+4}{5} \div \dfrac{3 \times 7+5}{7}[/tex]
[tex]\dfrac{13}{3} \div \dfrac{14}{5} \div \dfrac{26}{7}[/tex]
[tex]\textsf{Apply the fraction rule:} \quad \dfrac{a}{c}\div\dfrac{b}{d}=\dfrac{a}{c}\times \dfrac{d}{b}[/tex]
[tex]\dfrac{13}{3} \times \dfrac{5}{14} \times \dfrac{7}{26}[/tex]
Multiply the fractions:
[tex]\dfrac{13\times5\times7}{3 \times14 \times 26}[/tex]
[tex]\dfrac{455}{1092}[/tex]
The greatest common factor of 455 and 1092 is 91.
Therefore, divide the numerator and denominator by the GCF:
[tex]\dfrac{455 \div 91}{1092\div 91}=\dfrac{5}{12}[/tex]
Talia deposits $100 into her account. If her account balance grows exponentially and she makes no additional deposits or withdrawals, which of these shows her possible balance amounts for the first four years?
The balance of Talia's account will grow exponentially if the interest is compounded annually.
The formula for calculating the balance after n years can be represented as:
[tex]B = P * (1 + r)^n[/tex]
where B is the balance, P is the principal (initial deposit), r is the interest rate as a decimal, and n is the number of years. If Talia deposits $100 into her account and the interest rate is x%, the possible balance amounts for the first four years can be calculated as follows:
Year 1: [tex]B = 100 * (1 + 0.01x)^1[/tex]
Year 2: [tex]B = 100 * (1 + 0.01x)^2[/tex]
Year 3: [tex]B = 100 * (1 + 0.01x)^3[/tex]
Year 4: [tex]B = 100 * (1 + 0.01x)^4[/tex]
It is important to note that the interest rate, x, must be provided in order to calculate the exact balance amounts.
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Look at the expression and fill in the correct number in each blank.
The given expression has
term(s) with
1,500(1+1)*
factors.
The expression has 3 terms and 3 factors
What are the terms of the equationThe terms are the constant, the r term and the t term
The factors that are in the equation are 1500, 1 and 12
What is an exponential equation?An exponential equation is an equation that involves an exponential function, which has the form f(x) = a^x, where "a" is a constant base and "x" is the exponent. Exponential equations are used to model phenomena that grow or decay at a constant relative rate. The solutions to exponential equations can be found by manipulating the equation algebraically to isolate the variable in the exponent, taking logarithms of both sides, or by using exponential rules such as the power rule or the product rule.
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Compare the two ratios by entering >, <, or = in the box. 1:8 3:4
[tex] \frac{1}{8} < \frac{3}{4} [/tex]
Write an equity find X. Make sure you use ""="" sign in your answer.
Equity is generally defined as the difference between the value of a company’s assets and its liabilities, and is typically expressed as a dollar amount.
The formula for equity is: Equity = Assets - Liabilities To calculate equity, you would first need to calculate the value of all of the company’s assets, such as cash, investments, inventory, property, and equipment. Then, you would need to calculate the value of all of the company’s liabilities, such as accounts payable, short and long-term debt, and any other financial obligations. Once the value of the assets and liabilities have been calculated, the difference between them is the company’s equity. For example, if a company has total assets of $4,000 and total liabilities of $2,500, the equity can be calculated as follows :Equity = Assets - Liabilities Equity = $4,000 - $2,500 Equity = $1,500
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what’s (-3x^5)^2 times 4x^3
Answer:36x^13
Step-by-step explanation:
We can solve this problem using the rule of exponents: (am)n = amn.
First, let's simplify the exponent on the first term:
(-3x^5)^2 = (-3x^5) × (-3x^5)
Next, let's multiply this by 4x^3:
(-3x^5)^2 × 4x^3 = (-3x^5) × (-3x^5) × 4x^3
Now, let's multiply the coefficients and combine the exponents:
(-3 × -3)x^(5 + 5 + 3) = 36x^13
Therefore, the answer is 36x^13.
After allowing 10% discount on the marked price of a radio, 13% VAT was levied and sold it. If the difference between selling price with VAT and selling price after discount is Rs 1170, find the marked price of that radio
The marked price of the radio is Rs 10000.
How to find the marked price of that radioFrom the question, we have the following parameters that can be used in our computation:
Discount = 10%
VAT = 13%
VAT - Selling price = 1170
Represent the price of the radio with x
Using the above as a guide, we have the following:
Discount = 10% implies 0.9x
VAT = 13% implies 0.9x * 1.13 = 1.017x
So, the difference is
1.017x - 0.9x = 1170
This gives
0.117x = 1170
Divide
x = 10000
Hence, the price of the radio is Rs 10000.
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Use the Distributive Property to figure out (z-5)(z+3)
whats the answer
Using the distributive property, we can write (z-5)(z+3) is equal to [tex]z^2[/tex] - 2z - 15.
Let us expand the expression (z-5)(z+3).
We will distribute the terms in the first set of parentheses (z-5) to the terms in the second set of parentheses (z+3) as follows -
(z-5)(z+3) = z(z+3) - 5(z+3)
Now, we will simplify the expression by distributing z to both terms inside the first set of parentheses, and then distributing -5 to both terms inside the second set of parentheses as follows -
z(z+3) - 5(z+3) = [tex]z^2[/tex] + 3z - 5z - 15
Combining the like terms, we get,
(z-5) (z+3) = [tex]z^2[/tex] - 2z - 15
Therefore, (z-5)(z+3) is equal to [tex]z^2[/tex] - 2z - 15.
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(SAT Prep) Find the value of x
FIND THE VALUE OF x IT IS NOT 5x
What is the measure of each angle in a regular polygon with 9 sides?
Answer: 140
Step-by-step explanation:
Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.
Scatter plot, 8 grades help please!!!
Answer: 4 people
Step-by-step explanation:
As you can see the money spent is on one side of the graph and the people attending on the other. Try to go along the line of where 60 is and find where the line meets the line on 60. Look down and you can see 4.
Calculate the area of a parallelogram which sides are 8cm 13cm and11cm
Answer:
the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²
120 pens and pencils triple the number of pens than pencils how many pens
If number of pencils are triple the number of pens, then the number of pens is 30
Total number of pens and pencils = 120
Number of pencil is triple the number of pens
Consider the number of pens as x
Number of pencils = 3x
Sum of the pens and pencils = 120
Then the equation will be
Number of pens + Number of pencils = Sum of number of pens and pencils
Substitute the values in the equation
x + 3x = 120
Add the like terms
(1 + 3)x = 120
4x = 120
Move 4 to the right hand side of the equation
x = 120 / 4
x = 30
Therefore, the number of pens is 30
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write an equation for the exponential growth of the population in the us if in 1970 the population was 203 million and ten years later, 1980, the population was 226 million.
The exponential function for the population is X = 203.[tex]e^{0.0107.t}[/tex]
The formula for an exponential function is f (x) = ax, where x is a variable and a is a constant that serves as the function's base and must be greater than 0.
Let be supposed that population can be modelled by means of the following exponential function:
X = A.[tex]e^{Bt}[/tex]
Where:
t - Time, measured in years. Where t = 0 for 1970.
A - Initial population, in millions inhabitants.
B - Exponential rate constant, in years.
X - Population, in millions inhabitants.
Each constant is found hereafter:
X = A.[tex]e^{Bt}[/tex]
203 = A.[tex]e^{B*0}[/tex]
203 = A[tex]e^{0}[/tex]
A= 203
X = A.[tex]e^{Bt}[/tex]
X = 203[tex]e^{B.10}[/tex]
226 = 203[tex]e^{B.10}[/tex]
B = 1/10(ln(226/203))
B = 0.0107
The exponential function for the population is:
X = 203.[tex]e^{0.0107.t}[/tex]
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Which cylinder has a volume of 45% cm³?
Answer:
Right cylinder
Step-by-step explanation:
Right cylinder
Solve the following system of equations
using the elimination method.
3x + 2y = 5
2x + 4y = 2
Answer:
x=2 , y= (-1/2)
Step-by-step explanation:
3x + 2y = 5
2x + 4y = 2
Consider Equation 1:- (3x+2y=5)
Multiply both sides by 2
2(3x + 2y) = 5*2
6x + 4y = 10
Subtract both equations-
6x + 4y =10
-2x + 4y =2
=> 4x =8
x = 2
Substitute the value of x in equation 1
3*2 + 2y = 5
6 + 2y = 5
2y = 5-6
2y = (-1)
y = (-1/2)
Hope is helps ;)
a department store gets an average of 16 calls in a 2 hour time period. what is the probability that the department store will get at most 3 calls in a 55 minute period? round the final answer to three decimal places.
The probability that the department store will get at most 3 calls in a 55 minute period is 0.066
The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.
It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute
Find the probability by Poisson distribution with parameter
λ = 223
P(X = x) = λˣе - λx!
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)
= 0.0006 + 0.004 + 0.018 + 0.043
P(X ≤ 3) ≈ 0.066
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Look at the pic please
Answer:its a graph
Step-by-step explanation:
Answer:
Step-by-step explanation:
a. Fishman, Goron, Smith, other.
b. 98 people
Use the percent formula:
P% of number = x in this case it's 35/100 * 280 = x
x = 98
c. No because it is estimated. I typed it into my calculator and when I did the percentage formula with other and used 280 as my other number, I get 28, when it says 40 people had voted for other.
How much would $100 invested at 6% interest compounded monthly be
worth after 20 years? Round your answer to the nearest cent.
A (t) = P(1+r/n)^nt
Answer:
D
Step-by-step explanation:
[tex]100(1 + \frac{016}{12}) ^{12(20)}[/tex]
331.02
Answer:
D. $220.00
Explanation :
Pt(1+r/n) n
