Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.
The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.
To learn more about standard deviation click here
brainly.com/question/29088233
#SPJ4
Complete Question
sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?
The problem on card I is presented to a Math 2 class. Below are two
of the students' responses. Provide feedback for each student. Offer
feedback in the manner you wish to receive feedback yourself.¹
Line RS is parallel to Line TU.m/7=3r-10, and m/3 = 2x+5.
What is m/1?
The measurement of the angle 1 in the given parallel lines is 35° whereas the value of x is 15.
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other.
Given that, two lines RS and TU are parallel, and ∠ 7 = 3x-10 and ∠ 3 = 2x+5,
We need to find ∠ 1
Since, ∠ 7 and ∠ 3 are corresponding angles between two parallel lines therefore, both are congruent,
Therefore,
3x-10 = 2x+5
x = 15
Now, ∠ 1 = ∠ 3 as they are vertically opposite angles,
Therefore,
∠ 1 = 2(15)+5
∠ 1 = 35°
Hence, the measurement of the angle 1 in the given parallel lines is 35° whereas the value of x is 15.
Learn more about parallel lines, click;
https://brainly.com/question/19714372
#SPJ9
The figure was not given so the figure is attached.
some identical cylinders each have a radius of 5cm and a length of 3cm. helena has enough paint to cover 2500cm squared. how many of these cylinders can helena paint completely
Answer:
Helena can paint approximately 32 of these cylinders complete
Step-by-step explanation:
The surface area of a cylinder can be found using the formula:
Surface Area = 2πr(r + h), where r is the radius and h is the height (or length) of the cylinder.
For a cylinder with a radius of 5 cm and a length of 3 cm, the surface area is:
Surface Area = 2π x 5 x (5 + 3) = 2π x 5 x 8 = 80π cm²
So, the surface area of one cylinder is 80π cm². To find the number of cylinders that Helena can paint, we can divide her total paint coverage by the surface area of one cylinder:
2500 cm² ÷ 80π cm² = 31.83 (approximately 32 cylinders).
So, Helena can paint approximately 32 of these cylinders completel
Which of the following statements about JK and JL is true?
T
8
7
6
-5
y
4
3
2
1
-1
J(2,4)
2 3 4 5
L(1,-1)
K(7.8)
6 7 8
The true statement about JK and JL is, JK is longer than JL
What are comparison in math?The process of comparison reveals the shared characteristics of several objects. This is the fundamental idea in mathematics that guides our descriptions of whether two numbers are equal, one is more than, one is less than, or both are equal. Comparing fractions, decimals, and rational numbers are all possible.
The coordinates of the point are:
J (2, 4)
K (7, 8)
L (1, -1)
The distance between two points is given by the formula:
D = √(x2 - x1)² + (y2 - y1)²
The distance between JK is:
JK = √(7 - 2)² + (8 - 4)
JK = √25 + 16 = √41 = 6.40
The distance between JL is:
JL = √(1 - 2)² + (-1 - 4)²
JL = √1 + 25 = √26 = 5.09
Hence, the statement about JK and JL is, JK is longer than JL.
Learn more about comparison operators here:
https://brainly.com/question/30054271
#SPJ1
The complete question is:
Chose the expression that is equivalent to the expression below 3(2x-1)
Answer: 6x - 3
Step-by-step explanation:
I believe this question is asking you to expand the equation
Distribute the 3 to both terms on the inside to get: 3(2x -1) = 6x-3
Answer:
Step-by-step explanation:
i believe its 5x?
sorry if im wrong but i times 3 x 2 then 6 -1 or you can do 3 x 2 then 3 x -1 to get 6x and -3
determine whether the triangles are similar. if so, write a similarity statement. if not, what would be sufficient to prove the triangles similar? explain your reasoning.
If the similar sides and angles of two triangles are proportionate, then the triangles are similar.
We must assess if two triangles have the same shape but perhaps different sizes in order to determine their similarity. The triangles are similar if their corresponding sides are proportionate. The triangles are not comparable if they are not proportionate. We only need to determine whether two triangles' respective sides are proportionate if we are given two triangles and are aware that their corresponding angles are congruent.
In conclusion, in order to establish whether two triangles are comparable, we must look at both the proportionality of the respective sides and the congruency of the corresponding angles. The triangles are similar if both requirements are satisfied, and we can create a similarity assertion by using the matching triangle vertices.
To know more about the similarity of triangles refer to:
brainly.com/question/21874653
#SPJ4
nterpret the values of the mean and standard deviation. (round your answers to four decimal places.) a typical amount poured into a short, wide glass is ml. a typical deviation from the mean amount poured is ml. (b) the mean amount poured into a tall, slender glass for individuals asked to pour 44.3 ml (1.5 ounces) was 51.3167 ml. what do the values of the means for the two types of glasses suggest about the shape of glasses used? the mean amount for a short, wide glass is ---select--- the mean amount for a tall, slender glass. this suggests that individuals tend to pour ---select--- into a short, wide glass compared to a tall, slender glass.
The values of the means for the two types of glasses suggest about the shape of glasses used is 22ml on average.
When it comes to pouring drinks, bartenders are expected to pour a specific amount of liquid into each glass. However, there may be some variation in the amount poured depending on the shape of the glass. In this scenario, we have data on the actual amount poured by bartenders into a short, wide glass when asked to pour 44.3 ml. We will use this data to calculate the mean and standard deviation and interpret their values.
The mean is the average amount poured into the short, wide glass. To find the mean, we add up all the amounts poured and divide by the number of samples. Using the data provided, we get a mean of 57.889 ml, rounded to three decimal places.
However, the mean doesn't tell us the whole story. We also need to consider the standard deviation, which tells us how much the amounts poured vary from the mean.
To calculate the standard deviation, we first need to find the variance. We calculate this by subtracting the mean from each amount poured, squaring the differences, adding them up, and dividing by the number of samples minus one. Using the data provided, we get a variance of 479.716 ml², rounded to three decimal places.
To get the standard deviation, we take the square root of the variance. Using the data provided, we get a standard deviation of 21.904 ml, rounded to three decimal places.
Interpreting the values of the mean and standard deviation, we can say that a typical amount poured into a short, wide glass is 57.889 ml, while a typical deviation from the mean amount poured is 21.904 ml. This means that the amounts poured vary by about 22 ml on average, which could be due to differences in pouring technique or the shape of the glass.
To know more about standard deviation here.
https://brainly.com/question/16555520
#SPJ4
Estimate the depth d of the crater to the nearest tenth.
The depth d of the crater is 714 m. The solution has been obtained by using trigonometry.
What is trigonometry?
The area of mathematics known as trigonometry is concerned with the study of the sides, angles, and connections of the right-angle triangle.
We are given a figure which shows that the sun's rays are falling at an angle of 55° and the base is given as 500 m.
Using trigonometry,
We know that tan theta = opposite side/ adjacent side
So,
⇒tan θ = d/500
Here, θ = 55°
So,
⇒tan 55° = d/500
⇒x = 500 tan 55°
⇒x = 500 * 1.428148
⇒x ≈ 714.074
⇒x ≈ 714 m
Hence, the depth d of the crater is 714 m.
Learn more about trigonometry from the given link
https://brainly.com/question/13729598
#SPJ1
CAN SOMEBODY HELP ME ASAPPP
When the input of the function is -3, the output of the function is -4
How to determine the output valuefrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following reading at x = -3
(x, y) = (-3, -4)
This means that when x = -3, the value of y is -3
So, the conclusion is that
An input of -3, gives an output of the function is -4
Read more about function at
https://brainly.com/question/28277110
#SPJ1
The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides. center.
The apothem is perpendicular distance from the center of a regular polygon to any one of it sides.
The Apothem is defined as a term that used in geometry to describe a characteristic feature of a regular polygon.
A Regular Polygon is a polygon that has all sides of equal length and all angles of equal measure.
The Apothem of a regular polygon is defined as the perpendicular distance from the center of the polygon to any one of its sides.
The Center of circle is also the center of polygon. So , apothem is the distance from the center of the circle to the midpoint of any side of the polygon .
Learn more about Regular Polygon here
https://brainly.com/question/29722724
#SPJ4
The given question is incomplete , the complete question is
The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
Pls show your work thank you will mark the Brainliest
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: (3 {m}^{5} )(4m {}^{9} )[/tex]
[tex]\qquad \sf \dashrightarrow \: (3 \times 4)(m {}^{5} \times m {}^{9} )[/tex]
[tex]\qquad \sf \dashrightarrow \: 12m {}^{(5 + 9)} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12m {}^{14} [/tex]
So, The correct choice is B.) 12 m¹⁴
how many ways can a dinner patron select appetizers and vegetables if there are appetizers and vegetables on the menu?
The number of ways a dinner patron can select appetizers and vegetables will depend on the number of options available for each course.
Let's say there are "m" appetizer options and "n" vegetable options on the menu.
Then, the patron has m options for the appetizer course and n options for the vegetable course. To find the total number of ways the patron can select both courses, you would multiply the number of options for each course:
m x n ways
So, if the patron has 4 options for appetizers and 3 options for vegetables, the total number of ways the patron can select both courses would be 4 x 3 = 12.
Therefore, the number of ways a dinner patron can select appetizers and vegetables will depend on the specific number of options available for each course.
To learn more about dinner patron please click on below link
https://brainly.com/question/29037909
#SPJ4
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]
know more about exponential function click here;
https://brainly.com/question/16657040
#SPJ4
you need to have a password with 4 letters followed by 4 even digits between 0 and 9 , inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?
The number of choices for all the possible passwords are 43,056,000
Given, we have to make a password which includes 4 characters and 4 even digits. And none of the characters or digits can be used more than once. So, For the first character we have 26 choices as we can use any character from the alphabet. For the 2nd character we get 25 choices as we cant choose the first character already twice. Similarly, for 3rd character we get 24 choices and for 4th character we get 23 choices.
Now for the digits, we can only use even digits 0,2,4,6,8 with no repetition allowed. Therefore, for first digit we can choose any digit so we get 5 choices. For the 2nd digit we get 4 choices. For the 3rd digit we get 3 choices. For the 4th digit we get 2 choices.
Noe, to find all the possible combinations , we just need to multiply all the choices :
⇒ 26 x 25 x 24 x 23 x 5 x 4 x 3 x 2
⇒ 43,056,000
Therefore, the total number of all the possible combination of passwords according to the given condition is 43,056,000.
Learn more about Combinations here,
https://brainly.com/question/4857356
#SPJ4
if we are given a right-tail probability (or area) a and want a measurement m, which function in excel should we use? assume that the mean of the distribution is mu and the standard deviation is sigma.
The function in Excel that we should use to find a measurement M given a right-tail probability (or area) A is = NORM.INV(1-A, mu, sigma)
In order to find a measurement M given a right-tail probability A in Excel, we can use the NORM.INV function. The NORM.INV function in Excel returns the inverse of the normal cumulative distribution for a given probability.
The formula for NORM.INV function is:
= NORM.INV(1-A, mu, sigma)
where:
A is the right-tail probability (or area)
mu is the mean of the distribution
sigma is the standard deviation
The function returns the measurement M such that the right-tail area from M to infinity under the normal curve is equal to A.
Note - In some versions of Excel, the function may be called NORM.INV.RT instead of NORM.INV.
Read more about standard deviation:
brainly.com/question/24298037
#SPJ4
A Bowl Contains:
3 Red Erasers
4 Blue Erasers
6 Green Erasers
7 Pink Erasers
An eraser will be drawn from the bowl and replaced 50 times. What is a reasonable prediction for the number of times a green eraser will be drawn
Answer:
15
Step-by-step explanation:
Please answer and work out for all:
Find the vertical difference in height between:
i.A and B
ii.B and C
iii.A and C.
b.Find the angle of elevation from A to C
The vertical difference in height between
i. A and B = 1.55
ii. B and C = 1.27
iii. A and C. = 2.82
the angle of elevation from A to C
34.33 degreesHow to find vertical difference in heightThe vertical difference in height is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The directions describes a right angle triangle o
A and B
sin 15 = vertical difference / 6
vertical difference = 6 sin 15
vertical difference = 1.55
B and C
sin 25 = vertical difference / 3
vertical difference = 3 sin 25
vertical difference = 1.27
A and C
A to B + B to C
= 1.55 + 1.27
= 2.82
angle of elevation from A to C
sin x = 2.82 / 5
x = arc sin (2.82/5)
x = 34.33 degrees
Learn more about SOH CAH TOA here:
https://brainly.com/question/29402966
#SPJ1
Find the sides marked with the letters in Question 9
The value of the lettered sides of the triangle are n=4, m=3
What is congruent triangles?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry
From the Triangles, <BAC = <DBC given
⇒ΔBAD ≅ ΔDBC (SAS)
/BA/ =/BD/ = 3 units
Also, /BC/ = /AD/ = 4 units
Learn more about congruent triangles on https://brainly.com/question/29116501
#SPJ1
Please, I need the answer to this question:
A goldsmith takes 2 hours to make a wedding ring and 3 hours to make a necklace. He can only work for a maximum of 12 hours a day. In a day, he has an order for at least 2 rings and 2 necklaces. On each wedding ring, he makes a profit of $50; on each necklace, he makes a profit of $60.
Assuming he makes x-rings and y-necklaces:
A) Write down all the inequalities correcting x and y
B) Show by shading the Region, R which satisfies all the inequalities in no.A above
C) How many rings and necklaces should the goldsmith make to maximize the profit?
SOMEONE HELP URGENT PLS
I’ll give u brainliest and 20 points
Answer:
Step-by-step explanation:
Bottom right is the correct graph. Plot the line y ≤ 3x-4 and shade the area below the solid line. Next plot y < -2x +3 and shade the area below the dashed line. Where the 2 shaded areas intersect is the solution. Bottom right graph show this.
Colton is flying a kite, holding his hands a distance of 3 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 32 . If the string from the kite to his hand is 90 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
The height of the kite above the ground is; approximately 50.69 feet.
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
The height of his hands above the ground, h is given by 3 feet
Angle of elevation of the string (above the horizontal), θ = 32°
Length of the string, l is given as 90 feet
The height of the kite above the ground is given by trigonometric ratios as ;
Sin∅ =h /90
Sin 32°= h/90
0.52 =h /90 (Sin32°= 0.52)
so h= 47.69 feet
Then height from ground is (H) = 3 +47.69
H = 50.69 feet
The height of the kite above the ground , ≈ 50.69 feet
MARK ME BRAINLIEST
Step-by-step explanation:
73.
ILLUSTRATION 7
Find a. the length and b. the diameter of the shaft in
In the illustration given above, the length and the diameter of the shaft would be = 21.8 in and 7/8 in respectively.
How to calculate the total length of the shaft?The total length of the shaft can be calculated through the addition of the various given lengths along the shaft such as follows:
= 5⅛ + 5 + 7⅝ + 4 1/16
First convert all the mixed fraction into single fraction;
= 41/8 + 5/1 + 61/8 + 65/16
= 82+80+122+65/16
= 349/16
= 21.8 in.
The diameter of the shaft can be calculated as follows;
= 7¼ - (3 3/16 + 3 3/16 )
First convert all the mixed fraction into single fraction;
= 29/4 - (51/16 + 51/16)
= 29/4 - 102/16
= 116-102/16
= 14/16
= 7/8 in.
Learn more about diameter here:
https://brainly.com/question/28162977
#SPJ1
What will Amanda pay if she rents a truck and drives 45 miles and splits the total cost with two friends? Explain.
Using division operation, if Amanda and her two friends split the total cost of renting a truck equally, Amanda will pay $47.50.
What is the division operation?The division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves the dividend (the total cost) divided by the divisor (3 friends), which results in a quotient.
Fixed cost for renting a truck = $120
The variable cost per mile = $0.50
The total miles Amanda and her two friends drove = 45 miles
The variable cost for 45 miles = $22.50 ($0.50 x 45)
The total costs = Fixed + Variable Costs
= $142.50
Cost paid by Amanda = $47.50 ($142.50/3)
Learn more about mathematical operations at https://brainly.com/question/20628271.
#SPJ1
Question Completion:The fixed cost for renting a truck is $120 with a variable cost per mile of $0.50.
Porsches are cars that are known to retain their value.
When you first buy a Porsche, their value goes down
slowly, before staying even for a while. Eventually, the
value starts to go up again, before it drops quickly at
the end. Draw a graph showing the value of a Porsche
over time. At which part of the graph is the line
horizontal?
The graph of the function is horizontal when the value of the Porsche stays even.
How to classify the function as increasing, decreasing or constant?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.Staying even means that the value of the car does not change, hence it is constant.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
The key on a stem-and-leaf plot shows that 1|9 represents 19. How would the number 402 be represented?
The number 402 would be represented as 4|02.A stem-and-leaf plot is a graphical representation of a data set that is used to show its distribution.
The number 402 would be represented as 4|02. A stem-and-leaf plot is a way of organizing data into numerical order. It separates the numbers into two parts, the stem, which is the first digit or digits, and the leaf, which is the last digit or digits. The stem is listed on the left side and the leaf is listed on the right side. In this case, the stem would be 4 and the leaf would be 02, so the number 402 would be represented as 4|02.
Learn more number about here:
https://brainly.com/question/17429689
#SPJ4
Answer:4l02
Step-by-step explanation: mark me brainiest ;]
The band Leeward charges different prices for its concert tickets based on a concert-goer's age. The total cost, in dollars, of tickets for a adults and c children is 12a+6c. Edgar bought tickets for 4 adults and 6 children.
How much did Edgar pay for tickets?
Answer:
I believe Edgar payed $84 for the tickets.
Step-by-step explanation:
12(4)=48
6(6)=36
48+36=84
A particular prism has 10 faces. How many edges does it have
Answer:
24 edges, on the 10 faced prism
3 ways a relationship is proportianl
please help and explain
Which renames 5/12and3/8 using a common denominator
Common denominator of 5/12 and 3/8 is 24.
To rename 5/12 and 3/8 using a common denominator, we need to find the least common multiple (LCM) of the denominators 12 and 8, which is 24.
To convert 5/12 to an equivalent fraction with a denominator of 24, we can multiply both the numerator and denominator by 2 to get:
5/12 = (5 x 2)/(12 x 2) = 10/24
To convert 3/8 to an equivalent fraction with a denominator of 24, we can multiply both the numerator and denominator by 3 to get:
3/8 = (3 x 3)/(8 x 3) = 9/24
So, 5/12 and 3/8 can be renamed as 10/24 and 9/24, respectively, using a common denominator of 24.
For similar questions LCM,
https://brainly.com/question/16054958
#SPJ4
Which of the following functions represents an arithmetic sequence?
O f(n)=3"-4"
O f(n)=3n-4
O f(n)=3"-4
O f(n) = 3n²-4
