To calculate z table online we put Raw Score, Population Mean, Standard Deviation, σ then calculator give us answer.
A z-table, also called a standard normal table or unit normal table, is a table of standardized values used to determine the probability that a given statistic is below, above, or below the standard normal distribution. A z-score of 0 indicates that the given point is the same as the mean. Therefore, on the graph of the standard normal distribution, z = 0 is the midpoint of the curve. A positive Z value indicates that the point is to the right of the mean, and a negative Z value indicates that the point is to the left of the mean. There are several different types of Z-tables. The values in the table below represent a range from z=0 to a specific z-score.
Z Means table (0 to Z)
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Federico makes 60% of the free throw shots he takes in basketball. Federico is fouled, and he is in a one-and-one shooting situation meaning that he only gets a second free throw shot if he makes his first one. Each free throw shot is worth one point. What is the probability that Federico scores one point in this situation?
Answer:
So the probability that Federico scores one point in this situation is 84%.
Step-by-step explanation:
The probability that Federico makes his first shot is 60%, so the probability that he misses it is 40%. If he misses his first shot, he doesn't get a second one, so the probability of scoring one point in this situation is the probability of making the first shot (60%) plus the probability of missing the first shot and making the second one (40% x 60%), which is:
0.60 + 0.24 = 0.84
So the probability that Federico scores one point in this situation is 84%.
sofia drove for 1/3 hour to get to the store.than she drove 1/5 hour to get to the library. what fraction of an hour did sofia drive in all?explain
In Total, sofia spent 1/8 hours in driving.
What is fraction ?
A fraction is a mathematical expression that represents a part of a whole. It is a way of expressing a quantity as a ratio of two numbers, with one number (the numerator) written above a line and the other number (the denominator) written below the line.
Explanation:
To find the total amount of time Sofia spent driving, we can use the formula for adding two fractions with different denominators:
a/b + c/d = (ad + bc) / bd
Using this formula, we can add the fractions 1/3 and 1/5:
1/3 + 1/5 = (1 × 5 + 1 × 3) / (3 × 5) = 8/15
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Find the product. Simplify your answer. 4(–4n2–n–1)
Answer:
−16n² −4n −4
Step-by-step explanation:
=(4)(−4n²+−n+−1)
=(4)(−4n²)+(4)(−n)+(4)(−1)
=−16n² −4n −4
Solve four and six tenths plus six and eight tenths = ___.
fourteen tenths
twenty-two tenths
one hundred two tenths
one hundred fourteen tenths
The sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.
Describe Algebraic Expression?In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent and solve problems in various areas, including science, engineering, economics, and mathematics.
An algebraic expression can contain one or more variables, which represent unknown or changing quantities, and one or more constants, which represent fixed values. The variables are usually represented by letters, such as x, y, or z. The operations of addition, subtraction, multiplication, and division are represented by the symbols +, -, ×, and ÷, respectively. Parentheses are also used to group terms and indicate the order of operations.
For example, the algebraic expression 3x + 2y - 5 represents a combination of two variables, x and y, and three constants, 3, 2, and 5. The terms 3x and 2y are the variables multiplied by their coefficients, while -5 is a constant term.
Algebraic expressions can be simplified by combining like terms, which are terms that have the same variable raised to the same power. For example, in the expression 3x + 2y - 5 + 4x - 3y, the like terms are 3x and 4x, and 2y and -3y. Combining these terms yields the simplified expression 7x - y - 5.
Algebraic expressions are used in various mathematical operations, such as solving equations, graphing functions, and evaluating formulas. They are also used in real-world applications, such as calculating interest rates, solving optimization problems, and modeling physical phenomena.
Four and six tenths can be written as 4.6, and six and eight tenths can be written as 6.8. To find their sum, we add the two numbers:
4.6 + 6.8 = 11.4
So the sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.
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i need help with psrt A and part B and part c
Answer:
An isosceles triangle has sides of length xcm and 9cm.It perimeter is less than 24cm and x is a whole number.
find the lowest value of x
highest value of x
Answer:
I'll let you figure it out.
Step-by-step explanation:
A. First you separately take each of the two fractions and you multiply both sides to get the same denominator (bottom half of the fraction) for the two fractions, and then you combine the numerators (top half of the fraction) together while keeping the same denominator (simplify if needed). That's the fraction of students who don't walk home (answer for B). Then change the numerator to the (denominator - the numerator), and keep the same denominator, then simplify if needed (answer for C). This whole paragraph is the answer for A (but write it as your own words if you can).
Anil borrowed sum of 12,300 for a certain period at the rate of 10 per annum and returned 18,450 on expiry of the time. Find the time for which money was borrowed by him
Anil borrowed the sum of money $12,300 on rate of 10% per annum, for a period of 5 years.
We can use the simple interest formula to solve this problem:
Simple Interest = (Principal x Rate x Time) / 100
Where,
Principal = 12,300
Rate = 10% per annum
Simple Interest = 18,450 - 12,300 = 6,150
Substituting the given values in the formula, we get:
6,150 = (12,300 x 10 x Time) / 100
Simplifying the equation, we get:
Time = (6,150 x 100) / (12,300 x 10)
Time = 5 years
Therefore, Anil borrowed the money for a period of 5 years. Simple interest is a type of interest calculation where the interest is calculated only on the principal amount borrowed or invested. It is calculated as a percentage of the principal amount, multiplied by the time period of the loan or investment. Simple interest does not take into account any interest earned on interest, unlike compound interest. It is a straightforward method used to determine the total amount to be repaid on a loan or the interest earned on an investment. Simple interest is commonly used in personal loans, small business loans, and short-term investments.
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The point (2,5)
is represented on the graph. Which point also belongs on this graph?
As the point (2,5)is represented on the graph, the point (0,0) also belongs to the given graph.
Using Coordinate Points to Gather Information About a GraphFirstly, we know that the point (0,0) is the origin, which is the point where the x- and y-axes intersect. This means that the graph must have both x- and y-axes, and it is likely to be a Cartesian coordinate system.
Secondly, we know that the point (2,5) is located on the graph. Since (0,0) and (2,5) do not lie on a vertical or horizontal line, we cannot determine the shape of the graph with certainty. However, we can say that the graph is not a simple straight line or a perfectly circular shape, since those shapes would only intersect the axes at one or two points respectively.
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how to convert 20lbs to kg?
20 lbs is approximately equal to 9.0718 kg ( rounded to four decimal places )
The conversion factor to convert lbs to kilogram is 0.453592
1 lbs = 0.453592 kg
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in kg = The mass in lbs × conversion factor
Substitute the values in the equation
1 lbs = 0.453592 kg
20 lbs = 20 × 0.453592
Multiply the numbers
= 9.0718 kg ( rounded to four decimal places )
Therefore, 20 lbs is 9.0718 kg
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HELP ASAP, 100 POINTS, WILL GIVE BRIANLIEST,
A two-sided tile has black on one side and white on the other side. Determine the sample space for flipping the tile three times.
Toss 1 Toss 2 Toss 3
Black Black White
Black White White
Black White Black
White White Black
White Black Black
White Black White
Toss 1 Toss 2 Toss 3
Black Black Black
Black Black White
Black White White
Black White Black
Toss 1 Toss 2 Toss 3
Black Black Black
Black Black White
Black White White
Black White Black
Black Black Black
White White White
White White Black
White Black Black
White Black White
White White White
Toss 1 Toss 2 Toss 3
Black Black Black
Black Black White
Black White White
Black White Black
White White White
White White Black
White Black Black
White Black White
The possible outcomes for flipping a two-sided tile once are:
Toss 1 Toss 2 Toss 3
Black Black Black
Black Black White
Black White White
Black White Black
White White White
White White Black
White Black Black
White Black White
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now, If we flip the tile three times, the sample space will consist of all possible outcomes of the three flips.
Hence, Each flip is independent, so the total number of possible outcomes is the product of the number of outcomes for each flip, which is 2.
Therefore, the sample space for flipping the tile three times is:
BBB,
BBW,
BWB,
BWW,
WBB,
WBW,
WWB,
WWW
Where,
B = the black side facing up, and
W = the white side facing up.
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For a quadrilateral to be a square, the diagonals must be ________________.
a) parallel
b) congruent and perpendicular
c) congruent
d) perpendicularFor a quadrilateral to be a square, the diagonals must be ________________.
a) parallel
b) congruent and perpendicular
c) congruent
d) perpendicularFor a quadrilateral to be a square, the diagonals must be ________________.
a) parallel
b) congruent and perpendicular
c) congruent
d) perpendicular
how many groups of 1/4 are in 1
Answer:
1...
Step-by-step explanation:
hope this helps
Which of the following attributes describes a right pyramid?
1. 2 apexes
2. triangular faces
3. circular base
4. curved surface
Attribute that describes right pyramid is triangular faces.
What is pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and a flat triangular face that join at a common point called the apex. A pyramid is formed by connecting the base and apex. Each edge of the base connects to the top and forms triangular faces called sides.
Given, properties of right pyramid
1. 2 apexes - A right pyramid has only one apex
2. Triangular faces - A right pyramid has flat triangular faces.
3. Circular base - A right pyramid has polygonal base, not circular base
4. curved surface - A right pyramid has flat surface, not curved surface.
Hence, Property of triangular faces is present in a right pyramid.
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7. Given f(x) =x^2-4 and g(x) = 2x-1, find [f x g] (3).
The composite function has its value to be 25
How to evaluate the composite functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x^2 - 4
g(x) = 2x - 1
Given the composite function [f x g] (3)., we have
[f x g] (3) = f(3) * g(3)
Substitute the known values in the above equation, so, we have the following representation
[f x g] (3) = (3^2 - 4) * (2 * 3 - 1)
Evaluate
[f x g] (3) = 25
Hence, the solution is 25
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A car is traveling at a speed of 70 mph. The car slows down 10 mph to 60 mph. Which number is the additive inverse of the car's speed?
Answer:
-60
Step-by-step explanation:
Answer:
An additive inverse is just the opposite of a given number. A number a is the number that when added to a yields zero.
Your answer is -60
Step-by-step explanation:
the teacher of a class of third graders records the height of each student. indicate which level of measurement is being used in this scenario
In this situation, interval measurement is being employed as the measurement level.
As the height of each student can be measured on a continuous scale with equal intervals between the values. It's important to note that the teacher may have rounded the measurements to the nearest unit, which would make it a discrete measurement.
Interval measurement is a level of measurement in which the values are measured on a continuous scale and have equal intervals between them, but there is no true zero point. This means that the difference between any two values on the scale is meaningful and consistent, but it is not possible to say that one value is "zero" or has no quantity of the measured attribute.
For example, measuring temperature in degrees Celsius or Fahrenheit is an example of interval measurement. In this case, the difference between 10 and 20 degrees is the same as the difference between 20 and 30 degrees, but there is no true zero temperature - a temperature of 0 degrees does not mean the absence of heat.
Another example of interval measurement is measuring time in minutes or hours. The difference between 10 minutes and 20 minutes is the same as the difference between 20 minutes and 30 minutes, but there is no "zero" point in time - even if nothing is happening, time continues to pass.
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Jose invests money in an account paying a simple interest of 9% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
Jose invests money in an account paying a simple interest of 9% per year, he should multiply his current balance by 9% to find his total balance.
Simple Interest is a simple way for computing interest on a loan or principle amount. The notion of simple interest is used in many sectors, including banking, finance, and vehicles. The monthly interest is deducted first, followed by the principal amount, when you make a loan payment.
We have rate of interest as 9%
So, SI = PNR/100
SI = P x 1 x 9/100
SI = P x 9%.
Therefore, current balance should be multiplied by 9% .
Simple Interest (S.I.) is a way of determining the amount of interest for a given principle amount. You put that money to use for the reason you borrowed it in the first place. The money is then returned after you receive your following month's pocket money from your parents. This is how borrowing and lending operate in the real world.
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What is the conversion of 60in to cm?
Answer:
is 152.4 cm.
An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4 .
(a) At what nonzero time t t is the object again at x x = 0? Express your answer with the appropriate units.
An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4 the nonzero time at which x = 0 is 1.22 seconds.
To find the time at which the object is again at x=0, we need to solve the equation vx(t) = 0, which gives us:
αt - βt^3 = 0
t(α - βt^2) = 0
The solutions to this equation are t = 0 (which corresponds to the initial position) and t = ±√(α/β). Since we're looking for a nonzero time, we can discard the t = 0 solution and take t = √(α/β):
t = √(α/β) = √(7.2 m/s^2 / 4.8 m/s^4) = √(1.5 s^2) = 1.22 s
Therefore, the object is again at x=0 after a time of 1.22 seconds.
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What is the conversion of 71inches in feet?
The conversion of 71 inches is equal to 5.9166666667 feet.
The US customary measuring unit is the foot,
It is denoted by the letter "ft."
To convert 5 meters (m) to feet,
The imperial and American customary systems of measuring both use the symbol "in" to represent 1 inch as a unit of length.
It was decided that one inch was exactly equal to 25.4 millimetres.
12 inches make up a foot, and 36 inches make up a yard.
We know that,
1 in = 0.0833333333 ft
1 ft = 12 in
1 in = 2.54 cm and 1 cm equals 0.3937007874 in
To convert inches to feet,
We need to divide the number of inches by 12,
Since there are 12 inches in a foot.
Therefore,
71 inches divided by 12 gives us:
71 inches ÷ 12 = 5.9166666667 feet
(rounded to ten decimal places)
So 71 inches is equal to approximately 5.9166666667 feet.
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what is 1.72 m in feet?
The conventional conversion rates state that 1.72 is equivalent to 5.504 feet.
We use the unit of the meter to measure the distance between any two objects, but we may also use the unit of the foot for short distances because these two units are interchangeable.
One meter is equivalent to 3.2 feet using common conversion factors used in the US.
The measurement of 1.72 metres into feet may be determined using the same conversion factor.
We shall thus write 1 m = 3.2 ft.
1.72m is 1.78 x 3.2 feet, or 5.504 feet.
The result is that 1.78 meters is equivalent to 5.696 feet.
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She paid 21$ for 3/4 tons of wood chips to cover flower beds she wants to know the cost in dollars per ton
If the cost of 3/4 tons of wood chips is $21 then the cost per ton of wood chips is $28.
To find the cost per ton of wood chips, we need to first determine the total cost of 1 ton of wood chips. We know that the cost of 3/4 tons of wood chips is $21, so we can set up a proportion:
3/4 tons / 21 = 1 ton / x
where x is the unknown cost per ton.
To solve for x, we can cross-multiply and simplify:
3/4 tons × x = 21 × 1 ton
3/4 x = 21
x = 21 / (3/4)
x = 28
Therefore, the cost per ton of wood chips is $28.
Finding the cost per ton is a common problem encountered in many industries, particularly those that deal with bulk materials such as wood chips, sand, gravel, or other aggregates. To calculate the cost per ton, it is important to know the total cost of the material and the total weight (or volume) of the material. It's important to note that this method works for any bulk material, as long as the weight (or volume) and cost are known. This information can be used to make informed decisions about purchasing and budgeting for materials, as well as comparing costs across different suppliers.
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A bowling alley has 22 eight-pound balls, 31 twelve-pound balls, and 32 fourteen-pound balls. What are the odds in favor of the first ball in a lane being a twelve-pound ball?
Answer:
En total hay 22 + 31 + 32 = 85 bolas. De estas, 31 hijo b
Por lo tanto, la probabilidad de que la primera bola en un carril sea una bola de doce libras es:
P(bola de doce libras) = número de bolas de doce libras / número total de bolas
P(bola de doce libras) = 31 / 85
P(bola de doce libras) ≈ 0.365
Por lo tanto, las probabilidades a favor de que la primera bola en un carril sea una bola de doce libras son de aproximadamente 0.365, o alrededor del 36.5%.
Step-by-step explanation:
espero te sirva
the half-life of a radioactive kind of protactinium is 27 days. how much will be left after 54 days, if you start with 488 grams of it?
After 54 days, 213.3 grams of protactinium will remain from the initial 488 grams.
In radioactive decay, the amount of material that remains after a given amount of time can be calculated using the equation A=A0e^-kt, where A is the amount remaining after time t, A0 is the original amount, k is the decay constant, and t is the elapsed time. In this problem, we are given that A0 = 488 grams, t = 54 days, and k = 0.0259. We can calculate the amount remaining after 54 days by plugging these values into the equation.
A = 488e-0.0259(54)
A = 488e-1.3926
A = 213.3 grams
In conclusion, after 54 days, 213.3 grams of protactinium will remain if 488 grams is initially present.
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Two families, one of three and one of five, hire a bach for $196 per night. If the cost is shared equally among the eight people, how much will it cost the family of three per night?
Answer:
$73.5
Step-by-step explanation:
$196/8 = $24.5 ---> $196 shared equally with 8 people
24.5*3 = $73.5 ---> The cost for the family of three
How many groups of 1/3 inch are in 3/4 inch? Write your answer as a mixed number in simplest form.
Answer:3
Step-by-step explanation:
what is matrix in order?
The order of a matrix is a way to describe its size or dimensions in terms of the number of rows and columns it has.
It is typically represented by the notation m x n, where m is the number of rows and n is the number of columns. For example, a matrix with 3 rows and 4 columns would have an order of 3 x 4.
The order of a matrix is important because it determines how the matrix can be operated on or manipulated, such as in matrix addition, multiplication, or transposition.
It is a fundamental concept in linear algebra and is used extensively in many fields, including mathematics, physics, engineering, and computer science.
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solve for y and state how many solutions there will be. y+2=2x
This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.
Describe Equation?In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are unknown quantities that can take on different values. Equations are used to represent relationships between quantities, and they can be used to solve problems by finding the values of the variables that make the equation true.
An equation typically consists of two sides, separated by an equal sign. Each side can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. For example, the equation:
2x + 3 = 7
contains the variable x, as well as constants 2, 3, and 7, and mathematical operations of addition and multiplication.
Equations can be solved by applying algebraic techniques to isolate the variable on one side of the equation. For example, to solve the above equation for x, we can first subtract 3 from both sides to get:
2x = 4
Then, we can divide both sides by 2 to get:
x = 2
This is the solution to the equation, which means that x must be equal to 2 in order to make the equation true.
Equations are used in many areas of mathematics, including algebra, calculus, geometry, and trigonometry. They are also used in physics, engineering, and other sciences to model physical phenomena and solve problems related to them.
To solve for y, we need to isolate y on one side of the equation.
y + 2 = 2x
Subtract 2 from both sides:
y + 2 - 2 = 2x - 2
Simplify:
y = 2x - 2
Therefore, the solution for y is y = 2x - 2.
This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.
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A landowner recently sold a large plot of land. The sale decreased his total acreage. Write two equivalent expressions that represent the new acreage. Use the expressions to describe another way to find the new acreage
The two equivalent expressions for the new acreage sold by the landowner are:
NS = ST - SVNS = ST - (ST - SV)What are the two equivalent expressions that represent the new surface?Both of these expressions will give the same result, which is the new acreage after the sale.
The difference between the total surface area (ST) minus the surface area sold (SV): NS = ST - SV The difference between the total surface area (ST) minus the difference between the total surface area (ST) minus the surface area sold (SV): NS = ST - (ST - SV)Another way to find the new acreage is to subtract the sold acreage from the total acreage. This is the same as the first expression, but it may be easier for some people to understand. For example, if the total acreage was 100 acres and the sold acreage was 20 acres, the new acreage would be 100 - 20 = 80 acres.
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What are the three rules of logs?
The three rules of logs are the product rule, quotient rule, and power rule.
The three rules of logs are fundamental rules that are used in manipulating logarithmic expressions.
Product rule:
The product rule states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.
Quotient rule:
The quotient rule states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.
Power rule:
The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the base.
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Mathematics word problem. Please show working out, 25 points.
Answer:
188 cm rounded to the nearest whole number.
Step-by-step explanation:
1 rotation = 2[tex]\pi[/tex]r
2[tex]\pi[/tex](15) If the dimeter is 30, the radius is 15
2 rotations would be
2[2[tex]\pi[/tex](15)]
188.495559218
Answer:
188.5 cm
Step-by-step explanation:
Circumference of a circle = C = 2πr = πD
D = 30 cm
C = π(30 cm) = 94.25 cm
2 revs = 2C = 2(94.25) = 188.5 cm