Answer:
Sure, here are the numbers arranged from greatest to least
Step-by-step explanation:
Order from greatest to least
1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%
Answer:
From the greatest to least
Step-by-step explanation:
1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%
You can identify which number is greater than other by using a number line.
What is a number line?
A number line is what a math student can use to find the answer to addition and subtraction questions. A straight line, theoretically extending to infinity in both positive and negative directions from zero, that shows the relative order of the real numbers.
Hope this helps :)
Pls Brainliest...
8. the z-table gives the area under the standard normal curve to the left of z. what does the t-table give?
Answer:
The z-Table gives the area under the standard normal curve to the left of z. What does the t-Table give? The t-Table gives the area under the t-curve with n degrees of freedom to the left of it
HOPE THIS HELPSSS!
The image shows a circular pizza cutter that has a diameter of 8 centimeters
The pizza would be covered by approximately 100.48 centimeters of the pizza cutter if it is rotated exactly 4 times.
Calculating the cover of the pizzaThe circumference of a circle can be calculated using the formula:
circumference = π x diameter
where π is approximately equal to 3.14.
Given that the diameter of the pizza cutter is 8 centimeters, we can calculate its circumference as:
circumference = π x diameter
circumference = 3.14 x 8
circumference = 25.12 centimeters
If the pizza cutter is rotated exactly 4 times, it will cover a distance equal to 4 times its circumference:
distance covered = 4 x circumference
distance covered = 4 x 25.12
distance covered = 100.48 centimeters
Therefore, approximately 100.48 centimeters of the pizza would be covered by the pizza cutter if it is rotated exactly 4 times.
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Complete question
The image shows a circular pizza cutter that has a diameter of 8 centimeters. Approximately how many centimeters would the pizza cutter cover if it is rotated exactly 4 times
Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. If she spends 3x-7 dollars on rent, how much does she spend on electricity? Use pencil and paper. For which
value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value(s)
She spends
(Simplify your answer.)
dollars on electricity.
The values of x is [tex]x < 39.5[/tex].
Given that the shopkeeper spends on rent and electricity is [tex]= 5x+14[/tex]
Spending of shopkeeper on rent [tex]= 3x-7[/tex]
So shopkeeper spends on electricity [tex]= (5x+14) - (3x-7) = 2x+21[/tex]
Given that amount the shopkeeper spends on electricity less than 100.
So suitable inequality,
[tex]2x+21 < 100[/tex]
[tex]2x < 100-21[/tex]
[tex]2x < 79[/tex]
[tex]x < 39.5[/tex]
All the values of [tex]x < 39.5[/tex].
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Which expression is equivalent to the following complex fraction?
The expression that is equivalent to the following complex fraction is this: B. -2y + 5x/3x -2y.
What is an equivalent expression?An equivalent expression is one that produces the same result as the given one when simplified. To get the equivalent expression, we simply need to simplify the expression above and the one underneath.
After finding the lowest common multiples of the figures underneath and the ones above, the next thing to do will be to multiply by the numerators.
-2/x + 5/y = -2y + 5x
Also:
3/y - 2/x = 3x - 2y
So, option B is an equivalent expression of the complex fraction.
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i need help on this question :(((
The Polynomials that are listed in the question are the options labelled;
B, C, E
What is a polynomial?
A polynomial is a mathematical expression that consists of variables, coefficients, and exponents.
The variables represent unknown values, while the coefficients are constants that multiply the variables or their exponents. The exponents indicate the power to which the variables are raised.
Polynomials can be added, subtracted, multiplied, and divided to create more complex expressions, and they are used in a wide range of mathematical applications, including algebra, calculus, and geometry.
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assume that 20% of criminal suspects who agree to take lie detector tests are actually guilty while 80% of those who agree to take the test are innocent. of those who are guilty, 70% fail the lie detector test. of those who are innocent, only 15% fail the test. suppose a person is arrested and takes a lie detector test. given that the person fails the test, what is the probability that the person is actually innocent?
The probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.
The question asks us to calculate the probability that the person is actually innocent given that they have failed the test. The probability that the person is actually innocent is given by the formula: P(innocent | fails test) = P(innocent and fails test) / P(fails test).
Now we need to calculate the values of the probabilities on the right-hand side of this equation. P(fails test) is equal to the sum of the probabilities that a guilty person fails the test and that an innocent person fails the test. Hence, P(fails test) = P(guilty and fails test) + P(innocent and fails test). P(guilty and fails test) = 0.2 × 0.7 = 0.14P(innocent and fails test) = 0.8 × 0.15 = 0.12. Therefore, P(fails test) = 0.14 + 0.12 = 0.26.
Finally, we can calculate the probability that the person is actually innocent given that they have failed the test: P(innocent | fails test) = P(innocent and fails test) / P(fails test)= 0.12 / 0.26= 0.4615 (rounded to four decimal places).
Therefore, the probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.
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7. Write the unknown value that makes this
statement true:
25% of is 10
Answer: 40
Step-by-step explanation:
25/100 x ? = 10
multiply both sides by 100/25
x= 10 x 100/25
x=10
which of the following is a longitudinal study? researchers test the intelligence of all the students in a high school. intelligence tests are given to the residents of a nursing home. researchers randomly select 50 students from a high school with 2000 students. the 50 students are given intelligence tests. a group of college juniors is given an extensive battery of tests over a period of 2 days. a group of kindergartners is given an intelligence test. they are retested every other year for 30 years.
Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.
what is probability ?It is a numerical value that runs from 0 to 1, with 0 denoting the impossibility of an event and 1 denoting its certainty. The probability of an event A is expressed mathematically as P(A), where P(A) is the number of possible ways that event A could happen divided by the total number of outcomes.
given
The final choice is the long-term study: "An intelligence test is given to a class of kindergarteners. During 30 years, they are retested every other year."
In a longitudinal study, a group of individuals are followed over a lengthy period of time, frequently years or even decades. A longitudinal study's goal is to look at how people change or grow over time and to pinpoint any potential contributing elements.
Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.
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what can be said about the coefficients of the polynomial obtained by multiplying out when both and are odd integers? when both and are even integers? when one of and is even and the other is odd?
Odd coefficients of the polynomial are obtained by multiplying both odd integers.
Even coefficients of the polynomial are obtained by multiplying both even integers.
Even and odd coefficients of the polynomial are obtained by multiplying both odd integers.
Lets take two integer m and n,
If both 'm' and 'n' are odd integers, then the coefficients of the polynomial obtained by multiplying out will be odd.
If both 'm' and 'n' are even integers, then the coefficients of the polynomial obtained by multiplying out will be even.
If one of 'm' and 'n' is even and the other is odd, then the coefficients of the polynomial obtained by multiplying out will be even and odd.
There are no other cases.
The general form of the polynomial obtained by multiplying out a binomial is:
[tex](a+b)^n = nC_0a^n + nC_1a^{(n-1)}b + nC_2a^{(n-2)}b^2 + .....+ nC_n-1ab^{(n-1)} + nC_nb^n[/tex]
where [tex]nC_k[/tex] is a binomial coefficient.
In general, for a polynomial [tex](a+b)^n[/tex], the coefficient of the term of degree k is [tex]nC_k[/tex].
The binomial coefficients are defined as: [tex]nC_k = n! / (k!\times(n-k)!)[/tex]
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If the limit as n goes to infinity of the quotient of the absolute value of the quantity a sub n plus 1 times the n plus 1 power of the quantity x minus 7 and the absolute value of the product of a sub n and the nth power of x minus 7 for the power series the summation from n equals 1 to infinity of a sub n times the nth power of the quantity x minus 7, then what is the interval over which the power series converges absolutely? You do not need to consider the endpoints.
In conclusion, the power series converges absolutely over an interval given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex]is a natural number.
The interval over which the power series converges absolutely is given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex] is a natural number.
In other words, for any given N, the series will converge absolutely over the interval \left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n>N.
This means that the series will converge absolutely over a larger interval as N increases, since the terms \frac{\left|a_n+1\right|}{\left|a_n\right|} get closer to 1 for larger values of n.
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Solve for z.
d³ = −27
ANSWER FAST PLEASE
Answer:
d=-3
Step-by-step explanation:
d^3=-27
d=[tex]\sqrt[3]{-27} \\[/tex]
d=-3
Answer:
d=-3
Step-by-step explanation:
You must that 3rd root of -27, which is -3
Find the measure of the indicated angle to the nearest degree.
8)
7)
28
25
I
Find the area of each.
9)
5m
6.7 m
10)
8 km
46
9.6 km
22
The given angles and measures is given below:
What is an Angle?In mathematics and geometry, an angle is a measure of the space between two intersecting lines, rays, or line segments, usually expressed in degrees, radians, or grads. It is the measure of the opening between two lines that intersect at a common point, called the vertex of the angle.
5) tan x = 153 / 41
x = tan^-1 ( 153 / 41 )
75 degrees
6) tan y = 25/25
y = tan^-1 ( 25/25 )
45 degrees
7) sin z = 10/28
z= sin^-1 ( 10/28 )
21 degrees
8) cos a = 47/50
a = cos^-1( 47/50)
20 degrees
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DUE TOMORROW PLEASE HELP!!!!
The center of an airplane propeller is 13 feet off the ground and the radius of the propeller is 3 feet. The blades of the propeller are set at π/6, 5π/6, and 3π/2 radians from 0 radians directly to the right of the center of the propeller.
What is the height of the tip of each propeller in this position?
The heights of the tips of the propeller blades at π/6, 5π/6, and 3π/2 radians are 15.5 feet, 11.5 feet, and 10 feet, respectively.
What is the equation of a circle in parametric form?
The equation of a circle in parametric form is given by x=acosθ,y=asinθ.
We can use the equation for a circle in standard form:
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and r is the radius.
In this case, the center of the propeller is (0, 13) and the radius is 3. So the equation of the circle is:
x² + (y - 13)² = 9
We can use this equation to find the x and y coordinates of the tip of each propeller.
For the blade at π/6 radians, we can use the parametric equations for a circle:
x = r cos(t) + h
y = r sin(t) + k
where t is the angle in radians.
Substituting r = 3, h = 0, k = 13, and t = π/6, we get:
x = 3 cos(π/6) + 0 = 3√3/2
y = 3 sin(π/6) + 13 = 13 + 3/2 = 15.5
So the height of the tip of the propeller blade at π/6 radians is 15.5 feet.
Using the same method for the blades at 5π/6 and 3π/2 radians, we get:
Blade at 5π/6 radians:
x = 3 cos(5π/6) + 0 = -3√3/2
y = 3 sin(5π/6) + 13 = 13 - 3/2 = 11.5
Height of tip: 11.5 feet
Blade at 3π/2 radians:
x = 3 cos(3π/2) + 0 = 0
y = 3 sin(3π/2) + 13 = 10
Height of tip: 10 feet
Therefore, the heights of the tips of the propeller blades at π/6, 5π/6, and 3π/2 radians are 15.5 feet, 11.5 feet, and 10 feet, respectively.
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on a control chart, what separates common from assignable causes of variation? a. specification limits b. mean divided by standard deviation c. control limits d. production limits e. x-bar lines
On a control chart, Control limits separates common from assignable causes of variation option C.
Shewhart charts, after Walter A. Shewhart, are another name for control charts. It is a statistical process control tool that aids in tracking process advancements over time. For instance, hospital management decides to utilise a solution technique in order to shorten the time required to admit a patient.
The process flow diagram for how patients are admitted to the hospital is first created. The average amount of time it takes to admit a patient each day is then measured. Lastly, plot the process variables across time on a control chart.
This control chart's goals are to identify any "special" reasons of variation as well as to document any process improvements.
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Triangle A: All sides have length 12 cm.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
Triangle C: Base has length 15 cm, and base angles measure 40°.
Triangle D: All angles measure 60°.
Which triangle is not a unique triangle? (5 points)
a
Triangle A
b
Triangle B
c
Triangle C
d
Triangle D
triangle C
Step-by-step explanation:
If you draw it out, it looks unique
a line segment has endpoints (0, 5) and (6, 5). after the line segment is reflected across the x-axis, how long will it be?
The length of the reflected line segment is approximately 11.66 units.
The endpoints of the line segment mentioned in the question are (0,5) and (6,5). After the line segment is reflected across the x-axis, the endpoints of the reflected line segment are (0, -5) and (6, -5).To find the length of the reflected line segment, we will use the distance formula.
Using the distance formula:d = √[(x₂ - x₁)² + (y₂ - y₁)²]d = √[(6 - 0)² + (5 - 5)²]d = √[36 + 0]d = √36d = 6 units. So the length of the original line segment is 6 units.Now, let's find the length of the reflected line segment.Using the distance formula :d = √[(x₂ - x₁)² + (y₂ - y₁)²]d = √[(6 - 0)² + (-5 - 5)²]d = √[36 + 100]d = √136d = 11.66 (approx) units. So the length of the reflected line segment is approximately 11.66 units.
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If you have 4 purple marbles and 8 yellow marbles in a bag. What is the probability of getting a purple marble
You have a 4/12 probability.
the sampling distribution becomes approximately normal, for all statistics, if there is a large enough sample size. a. false b. true
The given statement "the sampling distribution becomes approximately normal, for all statistics, if there is a large enough sample size" is True as it is proved by the central limit theorem.
The central limit theorem (CLT) states that for large enough sample sizes, the distribution of the sample means approximates a normal distribution regardless of the shape of the initial population distribution.
It is a statistical theory that clarifies how the mean of a random sample of independent observations drawn from a non-normal population converges in distribution to a normal population.
According to this theory, the sample size should be at least 30 for the sample mean to have an approximately normal distribution. The following are the fundamental assumptions of the central limit theorem:
A large enough sample size is requiredPopulation must be random and independentThe variance of the population must be finiteThe sampling must be done with replacement.Therefore, we can say that the sampling distribution becomes approximately normal, for all statistics, if there is a large enough sample size. The statement is true.
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The diagram shown is two intersecting lines. The measure of <5 is 42°.
Two intersecting lines. Not perpendicular. Angles labeled from far left counterclockwise are labeled 5 then 6 then 7
What is the measure of <7 ? How do you know. Explain your answer in complete sentences.
Suppose the measure of <6 can be represented by(3x-9). What equation can be written to solve for the value of x?
What is the value of x?
Hence, x has a value of 49 as to find x, we add 9 to both sides and divide the result by 3.
what is angle ?The distance between two intersecting lines or planes is measured in terms of angles. The amount of rotation required to align one of the lines or planes with the other is usually expressed in terms of degrees. The range of an angle is 0 degrees (i.e., no rotation) to 360 degrees (corresponding to a complete rotation).
given
As angles 5 and 7 are a pair of linear angles, their sum must be 180 degrees. Angle 7 therefore has a measure of 180 - 42 = 138 degrees.
We can use the fact that angles 6 and 7 are vertical angles and have the same measure to find the value of x. As a result, we can set the following phrase to indicate that the measure of angle 6 is equal to angle 7:
3x - 9 = 138
In order to find x, we add 9 to both sides and divide the result by 3:
3x = 147
x = 49
Hence, x has a value of 49 as to find x, we add 9 to both sides and divide the result by 3.
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A quadratic equation is usually written in the form ax² + bx+c = 0. What are a, b, and c for the following quadratic equations? Separate your answers with a comma. (a) 13x²14x + 5 = 0 a, b, c (b) 5x² 13x - 10 = 0 (c) x² - 4 = 0 (d)-9x² = 0
Answer:
a) a is 13
b is 14
c is 5
b) a is 5
b is 13
c is-10
c) a is 1
b is 0
c is -4
d) a is -9
b is 0
c is 0
Step-by-step explanation:
hope this will be helpful:)
The function f(x) is defined as f(x) = One-third(6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis? A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries 12, 2, one-third, one-eighteenth, StartFraction 1 Over 108 EndFraction. A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries 12, 2, 0, one-eighteenth, StartFraction 1 Over 108 EndFraction. A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, one-third, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12. A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries StartFraction 1 Over 108 EndFraction, One-eighteenth, 0, 2, 12. The third column is labeled g (x) with entries negative StartFraction 1 Over 108 EndFraction, negative one-eighteenth, negative one-third, negative 2, negative 12.
Answer:
The correct table of values that could be used to graph g(x), a reflection of f(x) across the x-axis, is:
x f(x) g(x)
-2 1/108 12
-1 1/18 2
0 1/3 1/3
1 2 1/18
2 12 1/108
To reflect a function across the x-axis, we need to change the sign of the y-coordinate for every point on the function. Therefore, to find g(x), we take the negation of f(x) for every value of x. The second column in the third option is the negation of f(x), so it is the correct table of values for g(x).
Answer:
Its A.
Step-by-step explanation:
Other one was not clear enough lol ^
lisa and daisy work at a hair salon. the salon charges $18 fir a hair styling session with lisa and $12 for a session with daisy. the income on a certain day is projected to be $216. this situation can be represented by the equation 18x+12y=216, where x is the number of lisa's customers and y is the number of daisy's customers would lisa need to serve to attain the projected income if daisy calls in sick that day?
Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day
What is linear function ?
A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:
y = mx + b
where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.
According to the question:
If Daisy calls in sick, then Lisa will be the only stylist at the salon, and all customers will go to her. Let's use x to represent the number of Lisa's customers. Then the income generated by Lisa's customers can be represented by the equation:
18x = projected income
We can solve for x by dividing both sides of the equation by 18:
x = projected income / 18
Substituting the given projected income of $216, we get:
x = 216 / 18 = 12
Therefore, Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day.
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This is due tomorrow so please help me ASAP! Thanks!
The value of the given lengths are as follows:
a.) KL = 11.1ft
LO = 5.7ft
b.) m<OMN = 45°
How to calculate the missing length of the given triangles?For Side LO ;
7/11 = 7√2/7√2+LO
7(7√2+LO) = 11×7√3
69.3+7LO = 108.9
7LO = 108.9-69.3
LO = 39.6/7
LO = 5.7 ft
For KL ;
This can be solved using the Pythagorean theorem;
c²= b²+a²
C = 5.7+7√2 = 15.6
b = 11
a²= 15.6²-11²
= 243.36 - 121
= 122.36
a= √122.36
a= 11.1ft
For angle OMN;
This can be solved using SOHCAHTOA.
Sin∅ = opposite/hypotenuse
opposite = 7
hypotenuse = 7√2
sin∅ = 7/7√2
sin∅ = 0.707106781
∅= sin-1 0.707106781
∅ = 45°
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PLEASE HELP THIS IS DUE TODAY
Answer:
13 - The first option
11 - (x+1)
16 - first option
Step-by-step explanation:
Kira has $2.20 in dimes and quarters. If the number of dimes
is the number of quarters, how many dimes does she have?
Answer:
There are 2 dimes in the purse that contains $2.20
What is an equation?
An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
Let quarters be = x
The dimes be = 1/4 * x
25x+10x/4 = 220
(100x + 10x) /4 = 220
110x/4 = 220
110x = 220*4
110x = 880
x = 880/110
x = 8
The dimes be = 1/4 * x
The dimes be = 1/4 * 8
The dimes be = 2
Step-by-step explanation:
Pls ad brainliest!!!
in bridge, south has 13 points and 3 clubs and bids 1 club. north responds with 3 clubs, what does that mean?
In the bridge, when the south has 13 points and 3 clubs and bids 1 club, the north responding with 3 clubs means that the North has a strong hand with six or more clubs.
In the game of bridge, bidding is a method of indicating the strength of a player's hand, which is the number of tricks that they believe they can win if they become the declarer. Every player has to declare their abilities based on the bid of the previous player when it is their turn to bid.
The bidding starts with the dealer and proceeds in a clockwise direction. The players can either make a bid or pass. The following are the four basic bids in Bridge:
When South has 13 points and 3 clubs, he makes a 1 Club bid. This bid can be interpreted as follows:
South has a strong hand with five or more clubs and 13 to 21 high card points. When South bids 1 Club, he implies that he has a balanced hand, which means that he has four cards in each suit, or an unbalanced hand, which means that he has a long suit, a singleton, or a void in some other suit.
When North responds with 3 Clubs, it means that he has a strong hand with six or more clubs. North has understood that South has five or more clubs and therefore responds with the number of clubs that he has in his hand to show that he is strong enough to support South's suit. Thus, North is trying to force South to become the declarer in clubs.
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4. CENTERS Neil wants to find the center of a large
circle. He draws what he thinks is a diameter of the
circle and then marks its midpoint and declares that
he has found the center. His teacher asks Neil how
he knows that the line he drew is the diameter of the
circle and not a smaller chord. Neil realizes that he
does not know for sure. What can Neil do to
determine if it is an actual diameter.
To check if the line drawn is diameter it should be intersected at centre and it must be equidistant from the centre of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
To determine if the line Neil drew is an actual diameter of the circle and not just a smaller chord, he can use the following method -
Extend the line on both sides to create two lines that intersect at a point outside the circle.
Use a compass to draw a circle with the same center as the original circle, and with a radius that is greater than half the length of the line Neil drew.
Check if the two lines intersect the circle at two points that are equidistant from the center of the circle.
If they do, then the line Neil drew is an actual diameter of the circle.
If they do not, then the line Neil drew is just a chord.
This method works because a diameter of a circle is the longest chord that passes through the center of the circle.
By extending the line Neil drew and creating two lines that intersect outside the circle, we can compare the distance from the center of the circle to each of the two intersection points with the radius of the circle we drew.
If the distances are equal, then the line Neil drew must be a diameter of the circle.
Therefore, the method to find the actual diameter is explained.
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A rectangle has an area of 15 square yards. The width is 2 yards less than the length. What is the length, in yards, of the rectangle?
A: 2 yards
B: 3 yards
C: 5 yards
D: 15 yards
Answer:
The correct answer would be option (A).
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
length = x
Width=x-2
Area=lw
15=(x)(x-2)
15=x^2-2x
0=x^2-2x-15
Quadratic formula:
X=-15
X=5
the length is 5 because the length can’t be negative
consider the following table. what is the probability of red? red blue total yes 15 21 36 no 38 13 51 total 53 34 87 g
The probability of red is 0.1724, given the following table.
The table provided is given in the form of a contingency table. It is used to display the relationship between two categorical variables or nominal data through frequency distribution. It is also referred to as a two-way frequency table.
The table has "Yes" and "No" categories in the rows and "Red" and "Blue" categories in the columns.
The probability of Red can be calculated using the formula;
P(Red) = (Frequency of Red) / (Total Frequency)
Using the values provided in the table
,P(Red) = 15/87P(Red) = 0.1724
Hence, the probability of red is 0.1724.
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a run test is conducted for a process. the z-test value is calculated to be -1.5. if the run test acceptable limits are /- 2sigma you would conclude?
The conclusion of the test is the calculated z-test value of -1.5 falls within the acceptable limits of +/- 2 sigma.
To interpret the results of the run test, we need to compare the calculated z-test value with the acceptable limits for the test. The acceptable limits for the run test are +/- 2 sigma, which means that the process is considered acceptable if the z-test value falls within this range.
Since the z-value of -1.5 falls within the acceptable limits of +/- 2 sigma, we can conclude that the process is acceptable according to the run test. This means that there is no evidence of non-randomness or nonconformity in the process, and the process is functioning as expected.
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