The expression of the area of the barrel is 14π(h + 7)
How to determine teh area of the barrelFrom the question, we have the following parameters that can be used in our computation:
The DIAMETER of the barrel is 14.
This means that the radius is 7 units
The area of the barrel is calculated as
Area = 2πr(h + r)
Substitute the known values in the above equation, so, we have the following representation
Area = 2π * 7(h + 7)
Evaluate
Area = 14π(h + 7)
Hence, the area is 14π(h + 7)
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a 250 gallon tank initially contains 100 gallons of a solution that holds 40 lbs of a chemical. a solution containing 3 5 lb/gal of the chemical runs into the tank at the rate of 5 gal/min and the mixture runs out at the rate of 7 gal/min. determine the time when the concentration of the chemical in the tank is 0.8 lb/gal.what
The time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.
Let C be the concentration of the chemical in the tank and V be the volume of the tank.
Initially, V = 100 gal and C = 40 lb/100 gal = 0.4 lb/gal.
Let t be the time in minutes.
The rate of change of C is given by:
dC/dt = (5*3.5 lb/gal - 7*C)/V
Solving the differential equation, we get:
C = 0.4 + 0.6e^(-7t/100)
Setting C = 0.8 lb/gal, we get:
0.8 = 0.4 + 0.6e^(-7t/100)
=> 0.6e^(-7t/100) = 0.4
=> e^(-7t/100) = 0.67
=> -7t/100 = ln 0.67
=> t = 100*ln0.67/-7
=> t = 36.31 minutes
Therefore, the time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.
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Which one is the correct answer?
Answer:
Last option: Stocks which drop from 5.25 by 1.35
Step-by-step explanation:
5.25 + (- 1.35) = 5.25 - 1.35
This represents a decrease in value of stock which starts at 5.25 and drops by 1.35.
The stock value at end of day = 5.25 - 1.35 = $3,9
what decimal number corresponds to the binary number 11111111?
The decimal number that corresponds to the binary number 11111111 is 255.
What is decimal number?The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. A decimal number is made up of two parts: a whole number and a fractional component separated by a decimal point. The decimal point is the dot between the whole number and the fractions. 25.5, for example, is a decimal number.
Here,
In binary, each digit represents a power of 2, starting with the rightmost digit. The rightmost digit in 11111111 represents 2^0, the second digit from the right represents 2^1, and so on. To convert a binary number to decimal, you add up the value of each digit times the corresponding power of 2.
For 11111111, the calculation would be:
=1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1 * 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1
=255
The decimal equivalent of the binary number 11111111 is 255.
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HELP ASAP
Estimate the solution(s) to the system of equations graphed below. Choose all that apply:
{xy=10
y−x=−3}
Options:
a. (5, 2)
b. (-5, -2)
c.(-2, -5)
d.(0, -3)
Answer:
a and c
Step-by-step explanation:
The lines on the graph cross over those two points. Hope this helps.
a map has a scale of 1 inch: 15 miles. if two cities are 3.4 inches apart on the map, how far are they actually apart? show your work!
A map is scale at one inch to fifteen miles. On a map, if two cities are 3.4 inches apart, They are actually apart 15.
A scale is a collection of values, such as levels or numbers, that are applied to a particular system of measurement or comparison. Scale is the ratio that establishes the relationship between the model and the actual figure. The real figures in smaller units are shown by it on maps. As an illustration, a scale of 1:5 means that 1 on the map is equivalent to the size of 5 in the real world. A framework or application can manage heavier loads if it scales properly.
Based on the given conditions, formulate:: 3.4*15/1
3.4 in x 15mi/1in = 51 mi
Calculate the product or quotient: 51
They are actually apart 15
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. Metal spheres of radius 2 cm are packed into a rectangular box of internal dimensions 16 cm x 8 cm x 8 cm. When 16 spheres are packed the box is filled with a preservative liquid. Find the volume of this liquid. C
The volume of the preservative inside the box is 487.83 cm³.
What is the total volume of the box?The total volume of the box is calculated by using the following formula as shown below.
V = L x B x W
where;
L is the length of the boxB is the breadth of the boxW is the width of the boxV = 16 cm x 8 cm x 8 cm
V = 1,024 cm³
The total volume of the metal spheres inside the box is calculated as follows;
V = 16 x ( ⁴/₃πr³ )
where;
r is the radius of the sphereV = 16 x ( ⁴/₃π(2 cm)³ )
V = 536.17 cm³
The volume of the preservative inside the box = 1,024 cm³ - 536.17 cm³
= 487.83 cm³
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If ABC = DEF, AB = 8, BC = 19, AC=14, EF = 4x-1, and DE=y-6, f
x and y.
As ΔABC ≅ ΔDEF, Using congruence properties the value of x= 5 and the value of y= 14.
What are congruent triangles?Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.
Given that ΔABC ≅ ΔDEF, so that
AB ≅ DE
BC ≅ EF
AC ≅ DF
and AB = 8
BC = 19
AC = 14
EF = 4x-1
DE = y-6,
As AB ≅ DE
8 = y - 6
add 6 both sides we get
y = 8 + 6
y = 14
and BC ≅ EF
19 = 4x - 1
Add 1 both sides we get
4x = 19 + 1
4x = 20
divide both sides by 4 we get
x = 20/4
x = 5
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What quantity of 68% hydrochloric acid solution must be mixed with a 16% hydrochloric acid solution to produce 1629.33 mL of 19% solution?
The quantity of 68% hydrochloric acid solution must be mixed are;
94 ml of 68% Acid type I
1,535.33 ml 16.00% acid type II
How to solve algebraic word problems?The quantities and percentages given are;
Acid type I 68% ---------------- x liters
Acid type II 16% ------ 1629.33 - x liters
Mixture 19% ---------------- 1629.33
Thus, by combination of the values given we have;
68% x + 16%(1629.33 - x ) = 19% * 1629.33
Multiply through by 100 to get;
68x + 16(1629.33 - x ) = 30957.27
68x + 26069.28 - 16x = 30957.27
68x - 16 x = 30957.27 - 26069.28
52x = 4,887.99
x = 4,887.99/52
x = 94 ml of 68% Acid type I
Acid type II 16% ------ 1629.33 - 94
= 1,535.33 ml 16.00% acid type II
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A baby giraffe is 6 ft tall at birth. After one month, its height is 6 1/2 ft. After two months, its height is 7 ft. After three months, its height is 7 1/2 ft. Sketch a linear function that models the giraffe’s height. Months since birth should be on the x-axis.
The linear function that models the giraffe's height after x months is given as follows:
y = 6 + 0.5x.
The graph is given by the image presented at the end of the answer.
How to model the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the y-intercept, representing the value of y when x = 0.The parameters for this problem are given as follows:
b = 6, which is the height at birth.m = 0.5, as the height increases by 0.5 each month.Hence the function is defined as follows:
y = 0.5x + 6.
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Luke was solving the equation √3-x=-16. He was about to square
each side, but then he realized he could give an answer without doing any
algebra. What did he realize?
Luke was solving the equation √(3-x) = -16. He was about to square
each side, but then he realized he could give an answer without doing any algebra, here is explanation,
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Luke realized that squaring each side of the equation √(3-x) = -16 would lead to an extraneous solution. This happens because squaring each side of the equation changes the direction of the inequality, which may result in solutions that do not actually satisfy the original equation.
The square root of any positive number is always positive, so the left side of the equation is always non-negative. However, -16 is a negative number, so there is no real solution to the equation √(3-x) = -16.
Therefore, Luke realized that he could give an answer without doing any algebra and that the equation has no real solution.
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tricia wants to install a decorative wall paper border around the top of the wall in her master bedroom. the room measures 14ft by 17ft. how many feet of the border will will she need?
tricia wants to install a decorative wall paper border around the top of the wall in her master bedroom. the room measures 14ft by 17ft. then perimeter 62 feet of the border will will she need
For the installation of a decorative wall paper Tricia will need 70 ft of the border to decorate the wall of her master bedroom.
The measures of the room is 17 ft by 14 ft.
So, the length of the room (l) = 17 ft
The width of the room(w) = 14 t
As we know that, perimeter of rectangle is 2(l×w).
We will get perimeter of he room = 2l × 2w
= 2(17) × 2(14)
= 62 ft.
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Which two forms of payment were equally common in u.s. stores in 2017
Answer: I think cash and checks??
Step-by-step explanation:
Sorry if I'm wrong
El sueldo de un trabajador de una empresa es de S/2000. A medio año recibe un incremento del 20 % y, al final del año, recibe otro incremento del 25 % por un bono de productividad.
Respuesta: $500
Explicación paso a paso:
S/2000 es el que no tiene por ciento entonces pones x sobre 2000 y haces 20/100 para el primero y 25/100 para el segundo
X
2000 20
100
100x=40,000/100x=$400 al final del año
tomas $400 y le agregas otro 25%
X
400 25
100
100x=10,000/100x=$100 se agrega a su salario
En total obtendrá $500
Audrey is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 24 miles.
City X
City Y
3 in
The actual distance between the two cities is 288 miles.
What is the actual distance?A scale drawing is a smaller version of a larger image / city. The scale drawing is reduced by a constant ratio. This means that the scale drawing of the two cities would be smaller than the actual cities.
The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. This means that the scale drawing of the two cities would be smaller than the actual cities.
The actual distance between the two cities = (3 x 24) ÷ 1/4
= 3 x 24 x 4 = 288 miles
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What is the lateral surface area of the triangular prism below? PLEASE HELP ASAP
Answer:
96
Step-by-step explanation:
large rectangle area = 7* (4+3+5) =7*12 =84
top & bottom 2 little triangles:
look at the bottom one:
triangle area formula = 1/2 base * height
so it's a right angle triangle, so the height is 4, base is 3
so area = 1/2 * 3* 4 =6
you have another one on the top
so 12
total = 84+12 =96
x2+6x-40 factored form
Answer:
(x + 10)(x - 4)
Step-by-step explanation:
x² + 6x - 40
consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term.
the factors are + 10 and - 4 , since
10 × - 4 = - 40 and 10 - 4 = + 6 , then
x² + 6x - 40 = (x + 10)(x - 4) ← in factored form
tina has scheduled a dinner with friends in 4.5 hours. what is the probability that her simulation study will be done by then?
The approximate distribution (give distribution name and parameters) of the total length will be = 450 minutes
The estimated distribution of the total length of Tina's simulation study is a triangular distribution with a base worth of 2 minutes, a greatest worth of 4 minutes, and a mode (most reasonable worth) of (2+4)/2 = 3 minutes.
Since the simulation time is generally consistently distributed somewhere in the range of 2 and 4 minutes, the total simulation time will be the sum of 150 free random variables each with a triangular distribution.
Hence, the total simulation time will also have a triangular distribution with a base worth of 2 minutes x 150 = 300 minutes, a greatest worth of 4 minutes x 150 = 600 minutes, and a method of (300+600)/2 = 450 minutes.
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The complete question is:
Tina is running a simulation study on her laptop. The duration of each simulation is roughly uniformly distributed between 2 and 4 minutes. She needs to run 150 simulations and she runs all her simulations back-to-back. - What is the approximate distribution (give distribution name and parameters) of the total length of Tina's simulation study? Explain your answer
Una piedra cayó al mar desde la cima de un acantilado. En el aire tuvo una velocidad promedio de 16 m/s. En el agua tuvo una velocidad promedio de 3 m/s antes de tocar el fondo del mar. La distancia total desde la cima del acantilado hasta el fondo del mar es 127 metros, y la caída completa de la piedra duró 12 segundos. ¿Cuánto tiempo cayó la piedra a través del aire y cuánto tiempo a través del agua?
Resolviendo un sistema de ecuaciones, veremos que que la piedra estuvo 7 segundos en el aire y 5 en el agua.
¿Cuánto tiempo cayó la piedra a través del aire y cuánto tiempo a través del agua?Sabemos que:
En el aire tuvo una velocidad promedio de 16 m/s. En el agua tuvo una velocidad promedio de 3 m/s antes de tocar el fondo del mar.
Definamos las variables:
x = tiempo que la piedra estuvo en el aire.
y = tiempo que la piedra estuvo en el agua.
Sabemos que el trayecto completo duro 12 segundos, entonces podemos escribir:
x + y = 12
Y la caida total fueron 127 metros, entonces:
x*16 + y*3 = 127
Entonces tenemos un pequeño sistema de ecuaciones:
x + y = 12
x*16 + y*3 = 127
En la primera podemos aislar x:
x = 12 - y
Reemplazar eso en la otra ecuacion:
(12 - y)*16 + y*3 = 127
192 - 13y = 127
192 - 127 = 13y
65 = 13y
65/13 = y
5 = y
Entonces la piedra esta 5 segundos en el agua y los otros 7 segundos en el aire.
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3. Put the following numbers in order from least to greatest: 0.8, 1/10, 3/100, 0.91
4. Put the following numbers in order from least to greatest: 0.9, 0.35, 11/100, 7/10, 0.6, 0.21
5. Put the following numbers in order from least to greatest: 36/100, 0.2, 1/10, 8/100, 0.5, 0.44
If you can answer all the questions thats awesome but i mainly need help with number 5.
3) Ascending order of numbers are, 3/100 , 1/10, 0.8, 0.91.
4) Ascending order of numbers are, 11/100, 0.21, 0.35, 0.6, 7/10, 0.9
5) Ascending order of numbers are, 8/100, 1/10, 0.2, 36/100, 0.44, 0.5
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
3) Numbers are,
⇒ 0.8, 1/10, 3/100, 0.91
It can be written as;
⇒ 0.8, 0.1, 0.03, 0.91
Hence, Ascending order of numbers are,
⇒ 0.03, 0.1, 0.8, 0.91
⇒ 3/100 , 1/10, 0.8, 0.91
4) Numbers are,
⇒ 0.9, 0.35, 11/100, 7/10, 0.6, 0.21
It can be written as;
⇒ 0.9, 0.35, 0.11, 0.7, 0.6, 0.21
Hence, Ascending order of numbers are,
⇒ 0.11, 0.21, 0.35, 0.6, 0.7, 0.9
⇒ 11/100, 0.21, 0.35, 0.6, 7/10, 0.9
5) Numbers are;
⇒ 36/100, 0.2, 1/10, 8/100, 0.5, 0.44
It can be written as;
⇒ 0.36, 0.2, 0.1, 0.08, 0.5, 0.44
Hence, Ascending order of numbers are,
⇒ 0.08, 0.1, 0.2, 0.36, 0.44, 0.5
⇒ 8/100, 1/10, 0.2, 36/100, 0.44, 0.5
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Find the arc length of the partial circle
The arc length of the partial circle is, 28.26 units.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Radius of semicircle = 9 units
Now, We know that;
Arc length of semicircle = (2πr) × 180°/360°
Here, Radius of semicircle = 9 units
Hence, We get;
Arc length of semicircle = (2πr) × 180°/360°
Arc length of semicircle = (2 × 3.14 × 9) × 180°/360°
Arc length of semicircle = 28.26 units.
Thus, The arc length of the partial circle is, 28.26 units.
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Write an equation of the line in slope-intercept
form.
-2
Ay
-2
N
-2
(2, 2)
2
(0, -2)
4 x
HELP ASAP!!!! DUE IN 30 MINSS!!!!!!!!!
The diameter of a hat is 4.7 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
1.50 inches
7.38 inches
17.34 inches
14.76 inches
Answer:
To find the distance around a hat, you need to find the circumference of a circle with a diameter of 4.7 inches.
The formula for the circumference of a circle is C = π * d, where d is the diameter.
Plugging in the values and using π = 3.14, we have:
C = 3.14 * 4.7 = 14.758
Rounding to the hundredths place, the circumference of the hat is 14.76 inches.
So, the answer is 14.76 inches.
Answer:it is correct the awnser is d 14.76
Step-by-step explanation:did the test
Help me please . Question in photo below
The inequality that represents the graph is y ≤ -x - 2.
What is inequality in Math?In mathematics, inequality is a declaration of an order connection between two numbers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).
In the graph, we have
1. the line is going down (negative slope) so that's why u have the negative
2. it translated 2 units Downwards on the y-axis so that's why there is - 2
3. the line is Solid so it's going to have the equal sign under it, if the line was dashed it would just be a regular sign fr example (<)
4. the shading is below the line so that means it's going to be Less than or Equal to.
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In the data set below, what is the mean absolute deviation?
2, 2, 1, 6, 6
If the answer is a decimal, round it to the nearest tenth.
answer
A) 2.1
B 2
c) 10.4
D 3.4
The mean absolute deviation is 3.4
Option D is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
2, 2, 1, 6, 6
Mean = (2 + 2 + 1 + 6 + 6) / 5 = 17/5 = 3.4
Thus,
The mean is 3.4
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given that a/b = 2/3 and b/c = 3/7 find a : b : c . Give your answer in the simplest form
Answer:
2:3:7
Step-by-step explanation:
a/b = 2/3 and b/c = 3/7
a/b/c =2/3/7
Let sine of theta equals the quantity 2 times radical 2 end quantity over 5 and pi over 2 is less than theta is less than pi period
Part A: Determine the exact value of cos 2θ.
Part B: Determine the exact value of sine of the quantity theta over 2 end quantity period
Answer:
[tex]\textsf{A)} \quad \cos 2 \theta=\dfrac{9}{25}[/tex]
[tex]\textsf{B)} \quad \sin\left(\dfrac{\theta}{2}\right) = \sqrt{\dfrac{5+\sqrt{17}}{10}}[/tex]
Step-by-step explanation:
Given:
[tex]\sin \theta=\dfrac{2\sqrt{2}}{5},\quad \dfrac{\pi}{2} < \theta < \pi[/tex]
[tex]\hrulefill[/tex]
Part ATo determine the exact value of cos 2θ, we can use the Cosine Double-Angle formula:
[tex]\large\boxed{\cos^2\theta = 1 - 2 \sin^2 \theta}[/tex]
Substitute the given value of sin θ into the formula:
[tex]\begin{aligned}\cos 2 \theta&=1-2\left(\dfrac{2\sqrt{2}}{5}\right)^2\\\\\cos 2 \theta&=1-2\left(\dfrac{8}{25}\right)\\\\\cos 2 \theta&=\dfrac{25}{25}-\dfrac{16}{25}\\\\\cos 2 \theta&=\dfrac{9}{25}\end{aligned}[/tex]
[tex]\hrulefill[/tex]
Part BTo determine the exact value of sin (θ/2), we can use the half-angle formula for sine:
[tex]\large\boxed{\sin\left(\dfrac{\theta}{2}\right) = \pm \sqrt{\dfrac{1-\cos \theta}{2}}}[/tex]
First, find the value of cos θ by substituting the given value of sin θ into the trigonometric identity sin²θ + cos²θ = 1:
[tex]\begin{aligned}\left(\dfrac{2\sqrt{2}}{5}\right)^2+\cos^2\theta&=1\\\\\dfrac{8}{25}+\cos^2\theta&=1\\\\\cos^2\theta&=1-\dfrac{8}{25}\\\\\cos^2\theta&=\dfrac{17}{25}\\\\\cos\theta&=\pm \sqrt{\dfrac{17}{25}}\\\\\cos\theta&=\pm \dfrac{\sqrt{17}}{5}\end{aligned}[/tex]
As cos θ is negative on the interval π/2 < θ < π, we take the negative square root. Therefore:
[tex]\cos\theta&=-\dfrac{\sqrt{17}}{5}[/tex]
Now, substitute the found value of cos θ into the half-angle formula:
[tex]\sin\left(\dfrac{\theta}{2}\right) = \pm \sqrt{\dfrac{1-\left(-\dfrac{\sqrt{17}}{5}\right)}{2}}[/tex]
Therefore:
[tex]\sin\left(\dfrac{\theta}{2}\right) = \pm \sqrt{\dfrac{\dfrac{5}{5}+\dfrac{\sqrt{17}}{5}}{2}}[/tex]
[tex]\sin\left(\dfrac{\theta}{2}\right) = \pm \sqrt{\dfrac{\dfrac{5+\sqrt{17}}{5}}{2}}[/tex]
[tex]\sin\left(\dfrac{\theta}{2}\right) = \pm \sqrt{\dfrac{5+\sqrt{17}}{10}}[/tex]
As sin θ is positive on the interval π/2 < θ < π, we take the positive square root. Therefore:
[tex]\sin\left(\dfrac{\theta}{2}\right) = \sqrt{\dfrac{5+\sqrt{17}}{10}}[/tex]
horses are to race over a certain english meadow for a distance of 4.0 furlongs. what is the race distance in (a) rods and (b) chains? (1 furlong
1 furlong, a unit used in horse racing, is equal to 40 rods and 10 chains, both units used in surveying and equal to 201.168 meters (660 feet).
A furlong is a unit of length used primarily in horse racing. It is equal to 201.168 meters (660 feet). A rod is a unit of length used in surveying and is equal to 5.5 yards (16.5 feet). A chain is also a unit of length used in surveying and is equal to 66 feet.
To calculate 1 furlong in rods, we multiply 1 furlong by the conversion factor of 40 rods per furlong:
1 furlong x 40 rods/furlong
= 40 rods
To calculate 1 furlong in chains, we multiply 1 furlong by the conversion factor of 10 chains per furlong:
1 furlong x 10 chains/furlong
= 10 chains
To convert from furlongs to rods, we multiply the number of furlongs by the conversion factor of 40 rods per furlong:
4.0 furlongs x 40 rods/furlong = 160 rods
And to convert from furlongs to chains, we multiply the number of furlongs by the conversion factor of 10 chains per furlong:
4.0 furlongs x 10 chains/furlong = 40 chains
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in a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the true population proportion of water specimens that contain detectable levels of lead is between
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the levels of lead is between (0.4958, 0.7422).
p is 26/42=0.6190
rootp(1-p)/n=root0.6190(1-0.6190)/42=0.0749
satisfies that above this and under the standard normal density there is an area of 0.05. In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the true population proportion of water specimens that contain detectable levels of lead is between (0.4958, 0.7422).
Density is the number of things—which could be people, animals, plants, or objects—in a certain area. To calculate density, you divide the number of objects by the measurement of the area. The population density of a country is the number of people in that country divided by the area in square kilometers or miles.
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which of the following statements is true? group of answer choices the version of the sample variance where you divide by n is biased. all of these choices are true. the sample mean is consistent. the sample mean is relatively more efficient than the sample median.
The correct answer is option 1. The version of the sample variance where you divide by n is biased.
This is because dividing by n will produce a biased downward population variance estimate. We must divide by n-1 rather than n to correct this bias. Mathematically, this can be expressed as:
Population Variance = s2 = ∑ (x - μ)2 / n Sample Variance = s2 = ∑ (x - x(bar))2 / (n-1)
In other words, we must subtract 1 from the sample size in the denominator when calculating the sample variance. This is due to the fact that the sample variance and the sample mean are both unbiased estimators of the population variance, respectively.
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Complete Question:
which of the following statements is true?
group of answer choices
the version of the sample variance where you divide by n is biased.all of these choices are true.the sample mean is consistent. the sample mean is relatively more efficient than the sample median.during a lab activity, a 14-year-old student took his resting pulse rate. he counted 20 beats in 20 seconds. he calculated his pulse rate for a minute and compared the result to the data shown in the table below. is his pulse rate in the normal range for children?
Yes, his pulse rate is in the normal range for children. His pulse rate was calculated to be 120 beats per minute, which falls within the range of 60-100 beats per minute.
The student took his resting pulse rate by counting the number of beats in 20 seconds. He then multiplied his result by three to calculate his pulse rate for a minute. To determine if his pulse rate was within the normal range for children, he compared his result to the data shown in the table. His pulse rate of 120 beats per minute was within the range of 60-100 beats per minute, so it was considered to be normal for children. To ensure accuracy, the student could have taken his pulse rate for a longer period of time, such as 30 or 60 seconds, before calculating his pulse rate for a minute. This would have given him a more accurate result.
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