The sum of all proportions in a frequency distribution should sum to the value of 1. There are different types of frequencies, like relative frequency, cumulative frequency, and so on.
Each type of frequency has its own significance in statistics, but they all have one common feature: the total of all frequencies should be equal to the total number of observations. To put it simply, the sum of all frequencies should be equal to the total number of observations.
In statistics, relative frequency is defined as the proportion or percentage of an observation that falls into a particular category. It is generally denoted by the symbol f, and it is calculated as: f = n / N. Where n is the frequency of the observation and N is the total number of observations in the data set.
The sum of all relative frequencies should be equal to the value of 1. In other words, the sum of all proportions in a frequency distribution should sum to the value of 1.
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The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
At the Planetarium, tickets cost $10 for adults and $5.50 for kids under 12. How
many total tickets would someone get if they purchased 8 adult tickets and 19 kids
tickets? How many total tickets would someone get if they purchased a adult tickets
and k kids tickets?
Answer:
I do not understand 1234
Step-by-step explanation:
use the number line to find the absolue value of 7 (A -7, (B 0, (C 7, (D 14
Answer:
Can you put a number line in the picture?
Step-by-step explanation:
That would really help
Answer:
I think its C but without the number line a cant tell.
Step-by-step explanation:
a wire is cut into two pieces, one of length and the other of length . the piece of length is bent to form an equilateral triangle, and the piece of length is bent to form a regular hexagon. the triangle and the hexagon have equal area. what is ?
The value of a/b is \(\sqrt{6}\) / 2
What is called mensuration?The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
What is mensuration in real life?Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.
According to the question:-
Side of an equilateral triangle equals a/3.
Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].
Hexagonal side equals b / 6.
The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2
= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]
So
sqrt (3) / 36 a2 = sqrt (3) / 24 b2
So
A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]
a^2 / b^2 = [ 36 / 24 ]
a^2/ b^2 = 3/2
A/ B = Sqrt(3) / Sqrt(2)
=Sqrt(6) / 2
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What is the sum of the interior angles of the polygon shown below?
what percentage is equal to 32/100
Answer:
32%
Step-by-step explanation:
32/100 is 32%
What does 1.022 represent in the expression?
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:
\(GDP = 11(1.0220)^{t}\)
We can also see that the exponential model formula given by: governs this formula.
\(GDP = 11(1.0220)^{t\)
Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.
The value of b in this instance is provided by:
b = 1.022
And when we calculated r as the growth rate, we obtained:
1.022 = 1 + r
r = 1.022 - 1
r = 0.022
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
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We are given a stick that extends from 0 to x. Its length, x, is the realization of an exponential random variable X, with mean 1. We break that stick at a point Y that is uniformly distributed over the interval [0, x]. 1. Write down the (fully specified) joint PDF fx.x (x, y) of X and Y. For 0 < y
The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.
Given:
X ~ Exponential(λ), with mean 1 (λ = 1)
Y ~ Uniform(0, X), for 0 < y < x
To find the joint PDF, we first need to express the PDFs of X and Y.
PDF of X:
fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)
PDF of Y:
fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])
Now, we can find the joint PDF by multiplying these individual PDFs:
fx.x (x, y) = fX(x) * fY(y|x)
Substituting the PDFs:
fx.x (x, y) = (λ * exp(-λx)) * (1 / x)
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x
Therefore, the fully specified joint PDF of X and Y is:
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
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1) A number is drawn at random from the set (1, 2, 3, 4, and 5) and a letter is drawn at random from the word COBRA. How many possible outcomes are there for this experiment? Find the probability that
Answer:
Step-by-step explanation:
There are 5 numbers. You are going to draw 1 number.
There are 5 letters -- all different. You are going to draw 1 of them
The number of outcomes = 5 * 5 = 25
After running 5 miles, Kevin’s total time was 42 minutes. Find his time per mile.
Answer:
8.4 minutes per mile
Step-by-step explanation:
You simply just divide time by miles
42/5 = 8.4
Marcus earns 15% commission on his total sales at work. Suppose Marcus's sales totaled $725 last week. How much did he earn in commission?.
Answer:
The answer would be C) $108.75
Step-by-step explanation:
Trust
What is the maximum value of this function?
Answer:
9
Step-by-step explanation:
because the 9 is the highest point
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 3, negative 1, 1, 3, 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 2, negative 4, negative 1, 1, 4, 3.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 5, 7, 1, 0, negative 4, negative 2.
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which is the following is a linear polynomial? (A) x + 5 (B) x^2 + 5 (C) x^3 + 5 (D) x^4 + 5
The correct answer is (A) x + 5 is a linear polynomial.
A polynomial is a mathematical expression that is a sum of terms, each of which is a constant multiplied by a non-negative integer power of a variable. A linear polynomial is a polynomial of degree 1, which means that it has the form ax + b, where a and b are constants.
A polynomial whose highest degree monomial is of the second degree is said to be quadratic. A second-order polynomial is another name for a quadratic polynomial. Accordingly, at least one of the variables must be raised to the power of 2, and the powers of the remaining variables must be more than or equal to two but less than -1.
Option (A) x + 5 is a linear polynomial because it has degree 1.
Option (B) x^2 + 5 is a quadratic polynomial because it has degree 2.
Option (C) x^3 + 5 is a cubic polynomial because it has degree 3.
Option (D) x^4 + 5 is a quartic polynomial because it has degree 4.
So, The correct answer is (A) x + 5 is a linear polynomial.
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Solve the given differential equation by undetermined coefficients
1/4 y'' + y' + y = x2 − 3x
y ( x) = \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.
What do you mean by differential equation ?One or more functions and [some of] their derivatives are connected by a differential equation. The [first] derivative of the function with respect to the variable is illustrated in the following example. Differentials are a term used to describe the and elements.
given
1/4 y'' + y' + y = x2 − 3x
The auxilary equation is
1/4 \(m^{2}\) + m + 1 = 0
\(m^{2}\) + m + 1 = 0
\(( m- 2)^{2}\) = 0
m = -2 , -2
= A =1 , 2A+ B = -3 , 1/2A + B = 0
A = 1 , B = - 5 , C = 9/ 2
Then the general solution is
y = yc + yp
y ( x) = \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.
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122. which of the following statements about influential scores are true? i. influential scores have large residuals. ii. removal of an influential score sharply affects the regression line. i. an x-value that is an outlier in the -variable is more indicative that a point is influential than a y-value that is an outlier the y-variable. (a) i and ii (b) 1 and iii (c) ii and iii (d) i, il, and ii (e) none of these are true
Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.
The correct statements about influential scores are i and ii.
i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.
ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.
iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.
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I'm failing Geometry. Please help
5.
A = 8*5 = 40
P = 8+5+8+5 = 26
7.
x = √(10²-6²) = √100-36 = √64 = 8
A = (6*8)/2 = 48/2 = 24
9.
x = √(5²+12²) = √(25+144) = √169 = 13
11.
x = √(3²+4²) = √(9+16) = √25 = 5
A 4-foot piece of ribbon costs $21.12. What is the price per inch?
Answer:
divide 21.12 by 4 which issss..........5.28, I think this is right.
HURRY!!!!! I NEED HELP!!!!!
Find Arc MN
A. 20
b.60
c.66
d.120
We have been given a circle. We are asked to find the measure of arc MN.
We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:
\(\widehat{MN}+\widehat{NO}+\widehat{OL}+\widehat{LM}=360^{\circ}\)
Upon substituting our given values, we will get:
\(\widehat{MN}+110^{\circ}+130^{\circ}+54^{\circ}=360^{\circ}\)
\(\widehat{MN}+294^{\circ}=360^{\circ}\)
\(\widehat{MN}+294^{\circ}-294^{\circ}=360^{\circ}-294^{\circ}\)
\(\widehat{MN}=66^{\circ}\)
Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.
In interpreting effect size, what is the meaning of effect size at 0.3?
a. small effect size
b. medium effect size
c. large effect size
d. weak effect size
In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).
In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.
The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).
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La edad de maria es el triple de la edad de juan. En 7 años mas la ssuma de sus edades sera de 46 años. La suma de las edades actuales de juan y maria es
Answer:
The sum of the present age of Juan and Maria is 32 years.
Step-by-step explanation:
Maria's age is three times Juan's age. In 7 years the sum of their ages will be 46 years. The sum of the current ages of Juan and Maria is
Let the Juan's present age is p.
Maria's present age is 3 p.
After 7 years,
Juan's age = p + 7
Maria's age = 3 p + 7
According to the question
p + 7 + 3 p + 7 = 46
4 p + 14 = 46
4 p = 32
p = 8
So, the present age of Juan is 8 years and Maria is 24 years, the sum is 8 + 24 = 32.
I'm in desperate need of help! I'm young and it quite advanced math classes.... so you can see why I am having issues.
The slope m of a linear equation is given by
\(m=\frac{y_1-y_2}{x_1-x_2}\)where (x_1, y_1) and (x_2, y_2) are two points on a line.
Now, to find the slope, we choose any two points from the table and put them into the above formula.
Let us choose the first point
\((x_1,y_1)=(-2,3)\)and the second point
\((x_2,y_2)=(0,7)\)The slope, therefore, is
\(m=\frac{3_{}-7_{}}{-2-0}\)\(\begin{gathered} m=-\frac{4}{-2} \\ m=2 \end{gathered}\)Therefore, the slope of the line is m = 2.
The y-intercept of the line is where the line intersects the y- axis. This happens when x =0. Now, from the table we have the ordered pair (0, 7); therefore, the y-intercept is 7.
I will mark brainliest for the first person to answer my question
The whole angle = the sum of the parts
80 = 43 + x
OR
x = 80 - 43
Hope this helps!
Find the area of the triangle if the perimeter of the triangle is 50 ft.
Answer:
120 ft²
Step-by-step explanation:
The length of each of the congruent sides is (50-16)/2 = 17 ft.
So, using the Pythagorean theorem, the altitude drawn from the vertex angle to the base has a length of 15 ft.
Thus, the area is (1/2)(15)(16) = 120 ft².
Find the velocity of the car at the end of a drag race. Round to the nearest whole number.
Answer:
183 miles per hour.
Explanation:
The estimated velocity(v) at the end of a drag race is modeled using the formula below:
\(v=234\sqrt[3]{\frac{p}{w}}\)Given:
• The horsepower, p = 1311
,• The weight (in pounds), w = 2744 pounds.
Substitute into the formula above:
\(\begin{gathered} v=234\sqrt[3]{\frac{1311}{2744}}=182.9 \\ v\approx183\text{ miles per hour} \end{gathered}\)The velocity is approximately 183 miles per hour.
Choose the correct simpilfication of (7x^3-8x-5)+(3x^3+7x+1)
Answer:
Step-by-step explanation:
(7x³-8x-5)+(3x³+7x+1) =7x³ - 8x - 5 + 3x³ + 7x + 1
Combine the like terms
= 7x³ + 3x³ - 8x + 7x - 5 + 1
Now, add/ subtract the like terms
= 10x³ - x - 4
Answer:
\(10x^{3} -x-4\)
Step-by-step explanation:
\((7x^3-8x-5)+(3x^3+7x+1)\)
\(7x^3+-8x+-5+3x^3+7x+1\)
\((7x^{3} +3x^{3} )+(-8x+7x)+(-5+1)\)
\(10x^{3} -x+-4\)
One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125?
Answer:122 days
Step-by-step explanation:
HELP!!!
show work please
Answer:
someone is in trouble
Step-by-step explanation:
I did that answer because it was help in capitalized letters so i thought someone was in trouble
ite the equation of the graph shown below in factored form.
Answer:
f(x) = (x + 1)((x - 1)^2)(x - 3)
A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?
Answer: $23,600. ; $318,600
Step-by-step explanation:
From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.
The value of the increase will be 8% of $295,000. This can be mathematically written as:
= 8% of $295,000
= 8/100 × $295,000
= 0.08 × $295,000
= $23,600
The current value of the house will be:
= $295,000 + $23,600
= $318,600