Population model: Y = β0 + β1X + ε, where Y is the SAT score, X is the number of hours spent in the preparation course, β0 is the intercept, β1 is the causal effect (the effect of hours on SAT), and ε is the error term.
To estimate the causal effect of hours of preparation on the SAT score, we would structure a controlled experiment as follows:
Define the population: Our population of interest would be all students who plan to take the SAT and who have access to a preparation course.Select a sample: We would randomly sample a group of students from the population who are planning to take the SAT and have access to a preparation course. This would ensure that the sample is representative of the population and eliminates the possibility of selection bias.Assign treatment: The treatment in this case would be the number of hours spent in the preparation course. We would randomly assign half of the students to receive a set number of hours in the preparation course and the other half would receive a different set number of hours. This random assignment would ensure that any difference in SAT scores between the two groups can be attributed to the number of hours spent in the preparation course.Measure outcomes: After the treatment (number of hours in the preparation course), we would measure the SAT scores for each student in both groups.Estimate the causal effect: The causal effect of the treatment (hours spent in the preparation course) on the outcome (SAT score) can be estimated by comparing the average SAT scores between the two groups of students.Population model: Y = β0 + β1X + ε, where Y is the SAT score, X is the number of hours spent in the preparation course, β0 is the intercept, β1 is the causal effect (the effect of hours on SAT), and ε is the error term. This model assumes that the causal relationship between hours and SAT score is linear and that the effect of hours on SAT score is constant for all students in the population.
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the distance between points (3,5) and (-2,1)=
Answer:
Slope: y= 4/5x+21/8
The distance is 4 units up and 5 units to the right.
Step-by-step explanation:
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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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
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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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
Which of the following tables represents a linear relationship that is also proportional? x −1 0 1 y −4 −2 0 x −1 0 1 y −2 0 2 x −1 0 1 y 0 1 2 x −1 0 1 y 1 3 5
The table that represents a linear relationship that is also proportional is; Table B
What is a proportional relationship?In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and as such it can be modeled or represented by the following mathematical expression:
y = kx
Where:
x and y represents the variables.
k represents the constant of proportionality.
For us to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) using table B as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = -2/-1 = 2 or 2/1 = 2
Constant of proportionality (k) = 2
Thus, table B is correct.
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Answer:
the second one....
x −1 0 1
y −2 −1 0
Step-by-step explanation:
To ride go carts at Rick's Play Zone, it costs $4 per ride plus $3 to rent a helmet. The total cost, y, in dollars, depends on x, the number of times you ride the go carts. Write an equation to represent this situation.
The linear equation that represents this situation will be y = 4x + 3.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
To ride go-carts at Rick's Play Zone costs $4 per ride plus $3 to rent a helmet.
Let 'y' be the total cost in dollars and 'x' be the number of times you ride the go-carts. Then the equation is given as,
y = 4x + 3
The equation that represents this situation will be y = 4x + 3.
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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
Which ordered pair makes both inequalities true? y≤ -x + 1 y > x
(-3,5)
(-2, 2)
(-1, -3)
(0, -1)
NEED ASAP!!!!
Answer:
(-2,2)
Step-by-step explanation:
First, let's look at the 2 inequalities:
y ≤ -x + 1
y > x
Just by looking at the second inequality, we can remove any ordered pairs where x is greater than or equal to y. This eliminated the ordered pairs (-1,-3) and (0,-1). Now, the answer has to be (-3,5) or (-2,2). Knowing this, we can plug x and y into the equation and see if either of the answers are true.
(-3,5):
x = -3
y = 5
y ≤ -x + 1
5 ≤ -(-3) + 1
5 ≤ 3 + 1
5 ≤ 4
NOT TRUE
(-2,2)
x = -2
y = 2
2 ≤ -(-2) + 1
2 ≤ 2 + 1
2 ≤ 3
TRUE
So, since plugging in the ordered pair (-2,2) into the inequality gives us a true answer while (-3,5) doesn't, the order pair (-2,2) must be out answer.
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A circular skating rink has a radius of 40 feet. Which expression can be used to find the circumference of the skating rink, in feet?
2.40.π is the expression can be used to find the circumference of the skating rink.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that a circular skating rink has a radius of 40 feet.
Radius = 40 ft.
We need to find the expression can be used to find the circumference of the skating rink.
The formula for circumference of circle is 2πr.
Circumference=2.40.π.
Hence, 2.40.π is the expression which can be used to find the circumference of the skating rink.
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Answer: 2 x 40 x pie
Step-by-step explanation:
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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Using the formula 1/a+1/b=1/c, express the variable b in terms of the variables a and c. Find b.
b =
The variable b in terms of the variables a and c is b = ac/(a - c)
How to express variable b in terms of variable a and cFrom the given formula expressed as
1/a + 1/b = 1/c
We want to express variable b in terms of the variables a and c. We would make variable b the subject of the formula.
Subtracting 1/a from the left hand side of the equation and the right hand side of the equation, it becomes
1/a - 1/a + 1/b = 1/c - 1/a
1/b = 1/c - 1/a
1/b = (a - c)/ac
Taking the reciprocal of the left hand side of the equation and the right hand side of the equation, it becomes
b = ac/(a - c)
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MULTIPLE CHOICE GIVING BRAINLIEST AND 100 POINTS
please please please thank youuu
Answer:
6.00
Step-by-step explanation:
4r + g = 24
4r + 2g = 30 Subtract equation 2 from equation 1
-g = -6
so g = cost of gravity = 6 dollars
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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a man has a garden measuring 84 m by 56 m. he wants to divide them equally into the minimum number of square plots. what is the length of each square plot?
If a man has a garden and he divide them equally into minimum number of square plots , then length of each square plot is 28m .
the length of the garden is = 84m ;
the width of garden is = 56m ;
the man is dividing the garden into equally minimum number of square plots ,
then , Factors of Width = 2×2×2×2×7 = 2×28 ;
the Factors of Length is = 2×2×2×3×7 = 3×28 ;
So , we will notice with a side of 28 m each , we can make 2 squares along the width of the garden ;
Similarly , with the side = 28m each, we can make 3 squares along the length of the garden ;
That means , we can make 6 squares of 28m side.
Therefore , the minimum length of each square plot = 28 m.
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here is a scatterplot of the data for 13 colonies of sparrowhawksthe value for the data set is 0.5602. what is the correlation? use 4 decimal places.
The correlation between the two variables in the data set for 13 colonies of sparrowhawks is 0.5602.
This means that there is a moderate positive correlation between the two variables, indicating that when one variable increases, the other variable is likely to increase as well.
To calculate the correlation coefficient, we can use Pearson’s correlation coefficient equation:
r = (n * Σxiyi - Σxi * Σyi) / √[(n * Σxi2 - (Σxi)2) * (n * Σyi2 - (Σyi)2)]
Where: n = the number of observations Σxi = the sum of all x-values Σyi = the sum of all y-values Σxiyi = the sum of the products of each x-value and y-value Σxi2 = the sum of the squares of each x-value Σyi2 = the sum of the squares of each y-value
Plugging in the values for our data set, we get:
r = (13 * 0.5602 - (13 * 0.5602)) / √[(13 * 0.2532 - (13)2) * (13 * 0.2532 - (13)2)]
r = 0.5602
This means that there is a moderate positive correlation between the two variables in the data set, indicating that when one variable increases, the other variable is likely to increase as well.
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At the market Ms Winn bought 3/5 lb of grapes And 5/8 lb of cherries. How many ounces of cherries did Ms Winn buy?
12 ounces of cherries did Ms Winn buy.
What is Unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Ms. Winn bought = 3/5 lb of grapes
Ms Winn bought = 5/8 lb of cherries.
As, there are 16 ounces in a pound then
= 3 pounds/4 x 16 ounces/pound
= 3 x 4
= 12 ounces
Hence, She buy 12 ounce of cherries.
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I need answer ASAP the question is in the picture
Answer:
assuming that it can be solved, then yes
Step-by-step explanation:
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
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
Simplify each expression and eliminate negative exponents
x^5 multiply x^8
(2x^3)^2
x^-3 • x ^5
Y^6 • y^9
(3x)^3
Y^7• y^-3
Z^-8 • z ^3
x^-2 x ^-6 x^4
X^15 by x^10
Here are the simplified expressions for each equation:
(x⁵) * (x⁸) * (2x³)² * (x⁻³) * (x⁵) = (x⁵) * (x⁸) * (2x⁶) * (x⁻³) * (x⁵) =
2x⁽⁵⁺⁸⁺⁶⁻³⁺⁵⁾ = 2x²¹
(y⁶) * (y⁹) = y⁽⁶⁺⁹⁾ = y¹⁵
(3x)³ = 27x³
(y⁷) * (y⁻³) = y⁽⁷⁻³⁾= y⁴
(z⁻⁸) * (z³) = z⁽⁻⁸⁺³⁾ = z⁻⁵
(x⁻²) * (x^⁻⁶) * (x⁴) = x⁽⁻²⁻⁶⁺⁴⁾ = x⁻⁴
(x¹⁵) * (x¹⁰) = x⁽¹⁵⁺¹⁰⁾ = x²⁵
What is expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. Term is defined as a constant, a single variable, or a combination of a variable and a constant multiplied or divided. An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
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the simplified expressions for each equation is:
a) 2x²¹ b) y¹⁵
c) 27x³ d) y⁴
e) z⁻⁵ f) x⁻⁴
g) x²⁵
What is expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation.
Addition, subtraction, multiplication, or division are all examples of math operations. Term is defined as a constant, a single variable, or a combination of a variable and a constant multiplied or divided.
An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
Here are the simplified expressions for each equation:
(x⁵) * (x⁸) * (2x³)² * (x⁻³) * (x⁵) = (x⁵) * (x⁸) * (2x⁶) * (x⁻³) * (x⁵) =
2x⁽⁵⁺⁸⁺⁶⁻³⁺⁵⁾ = 2x²¹
(y⁶) * (y⁹) = y⁽⁶⁺⁹⁾ = y¹⁵
(3x)³ = 27x³
(y⁷) * (y⁻³) = y⁽⁷⁻³⁾= y⁴
(z⁻⁸) * (z³) = z⁽⁻⁸⁺³⁾ = z⁻⁵
(x⁻²) * (x^⁻⁶) * (x⁴) = x⁽⁻²⁻⁶⁺⁴⁾ = x⁻⁴
(x¹⁵) * (x¹⁰) = x⁽¹⁵⁺¹⁰⁾ = x²⁵
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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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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
your grade in a class is determined by the average of three test scores. you scored 70 and 88 on the first two tests. to earn at least 76 for this course, how much do you have to score on the third test? let x be the score you will earn on the third test.
In order to score at least 76 for the full course, you have to score a total of 70 marks on the third test.
Average is calculated by first adding all the values of the total number of terms in a problem by the total number of terms.
Suppose there are five terms in a given problem, the formula will stand as:
Average of five terms = (n1 + n2 + n3 + n4 + n5)/5.
In this problem, the score of the first two tests are provided and the average of the three final tests is provided.
Marks scored in 1st test = 70
Marks scored in 2nd test = 88
Average marks = 76
Let the score of the third test be [tex]x[/tex]
Therefore, (70 + 88 + [tex]x[/tex])/3 = 76
(158 + [tex]x[/tex])/3 = 76
158 + [tex]x[/tex]= 228
[tex]x[/tex]= 228-158 = 70
Hence, the test score of the third test has to be 70 in order to get an average of 76 in the final marks.
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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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Find the measure of the exterior angle.
The value of exterior angle is 108°.
What are exterior angles ?
An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side.
Given:
Interior angles : (a+10)° and 44°
Thus , we know that
Exterior angle = sum of interior opposite angles
Therefore , Exterior angle = (a+10)° + 44°
or
2a° = (a+10)° + 44°
or
a = 54°
Therefore , exterior angle = 2a = 2*54° = 108°
Thus , the value of exterior angle is 108°.
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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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Order the simplification steps of the expression below using the properties of rational exponents.
875x³y
·2³. (7.2³)
5xy³ √7x²
(5³) ³. 7. 2(¹+3).
(125) (7) (+) ³
¹2. y
5.
5.7.
.
5xy³ (72²) ³
.
(125-7). 2. y
..
(875x³y)
The simplification steps are as follows:
(2³)(7.2³) = 2³+3 = 128
(5³)³ = 125
(1 + 3) = 4
72² = 5184
125 - 7 = 118
So, the simplified expression is:
118 (5xy³) (5184³) 2y
What is properties of rational exponents?Properties of rational exponents are rules that dictate how to simplify expressions with fractional exponents. Some of the key properties are:
Product of Powers: (a^m)(a^n) = a^(m+n)Quotient of Powers: (a^m)/(a^n) = a^(m-n)Power of a Power: (a^m)^n = a^(mn)Power of a Product: (ab)^m = a^m b^mPower of a Quotient: (a/b)^m = a^m / b^mZero and Negative Exponent: a^0 = 1, a^(-n) = 1/a^nFractional Exponent: a^(m/n) = (a^m)^(1/n)
These properties are used to simplify expressions with rational exponents, which are exponents that are in the form of a fraction.
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observations are drawn from a bell-shaped distribution with a mean of 130 and a standard deviation of 5. there are 1,500 observations in the data set. a. approximately what percentage of the observations are less than 140?
So, approximately 2.28% of the observations are less than 140.
To find the percentage of observations that are less than 140, we need to find the standard score (z-score) that corresponds to 140, and then use a standard normal table to find the proportion of data that is less than that z-score.
The standard score is calculated as follows:
z = (140 - 130) / 5 = 2
Using a standard normal table, we can find the proportion of data that is less than 2 standard deviations from the mean. This proportion is approximately 0.0228 or 2.28%.
Mean is nothing but the average of data.
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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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