The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of eight syringes taken from the batch. Suppose the batch contains 5% defective syringes. A button hyperlink to the SALT program that reads: Use SALT.
(a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, , 7 and 8 defective syringes in a random sample of eight syringes.
(b) Find μ. (Enter your answer to two decimal places.) μ = syringes What is the expected number of defective syringes the inspector will find? (Enter your answer to two decimal places.) syringes
(c) What is the probability that the batch will be accepted? (Round your answer to three decimal places.) (
d) Find Ï. (Round your answer to three decimal places.) Ï = syringes
Answers
a) Histogram (figure attached)
b) The expected number of defective is equal to 0.4 syringes.
c) Probability that the batch will be accepted is equal to 0.94275.
d) The standard deviation is 0.6164.
It is a binomial distribution "DISCRETE probability distribution that encapsulates the likelihood that a value will take one of two independent values when a particular set of conditions is met. The assumptions for the binomial distribution are that each trial has a single possible outcome, each trial has an equal chance of success, and each trial is independent of the others or mutually exclusive ".
Let X be the number of syringes being defective as a binomial random variable.
We are given that in the batch, there can be assumed to be 5% defective syringes.
∴ n = 8
Probability of syringes being defective, p = 0.05
Probability of syringes being not defective , q = 1-p = 1-0.05 = 0.95
a) Histogram (figure attached)
b) We know that the formula for Expectation in binomial distribution is;
μ =n×p = 8×0.05
=0.4 syringes
Therefore, the inspector will find the expected number of defective is equal to 0.4 syringes.
c) We have to find binomial probability for that we will use the binomial probability distribution is given by:
P(X=x) = ⁿCₓpˣ (1-p)^n-x, x = 0,1,2,3 ..8
Therefore,
P(x<2) = P(X=0) + P(X=1)
= ⁸C₀(0.05)⁰(1-0.05)⁸ + ⁸C₁(0.05)¹(1-0.05)⁷
= 0.66342 + 8×0.05×0.6983
= 0.66342 + 0.27933
= 0.94275
Therefore, probability that the batch will be accepted is equal to 0.94275.
d) We first find the variance:
σ² = Var(X) = n×p×(1-p)
= 8 × 0.05 ×(1-0.05)
= 0.38
Thus, the standard deviation is
σ = [tex]\sqrt{0.38}[/tex] = 0.6164
Thus,
a) Histogram (figure attached)
b) The expected number of defective is equal to 0.4 syringes.
c) Probability that the batch will be accepted is equal to 0.94275.
d) The standard deviation is 0.6164.
To learn more about binomial distribution, visit brainly.com/question/14565246
#SPJ4
Related Questions
Could someone help??
Answers
Answer:
C.
Step-by-step explanation:
For the first letter there are 26 choices, then, since one has been used, for the second letter there are only 25 choices left. And so on. You multiply them to get the total number of combinations.
For the digits, the initial choice is from 10 digits (0..9), which invalidates answer B.
Van is 12 yrs older than john. Two yrs ago. Van was twice as old as john. Find thier present age.
Answers
Answer:
John = 14 ; Van = 26
Step-by-step explanation:
V = 12 + J
V - 2 = 2(J-2)
12 + J - 2 = 2J - 4
J + 10 = 2J - 4
2J - J = 10 + 4
J = 14
V = 12 + 14
V = 26
6 people equally share 1/2 a pan of macaroni and cheesse draw a diagram to represent the situation
Answers
Share of the each person is 1/12. And the above situation can be represented in the given picture.
Fractions and diagrams:Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be entire.
When we cut a piece of cake from the entire thing in real life, that could be the best example for Fractions.
To represent a fraction in a diagram we choose a closed polygon like a circle, square, etc.
First, divide the polygon into the number of parts as given in the denominator and shade the number of taken parts that are given in the numerator.
Here we have
6 people equally share 1/2 a pan of macaroni and cheese
As we know 1/2 means half
By the given data, Half of the macaroni and cheese is shared by 6 people which means Half of the pan of macaroni and cheese again divided into 6 parts
=> (1/2) ÷ 6 = [tex]\frac{ \frac{1}{2} }{6}[/tex] = [tex]\frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
Therefore,
Share of the each person is 1/12. And the above situation can be represented in the given picture.
Learn more about Fractions at
https://brainly.com/question/8482939
#SPJ1
PLEASE HELP!!!!
A group of friends were hanging out discussing the movies. They discovered that altogether, they went to the movies 30 times last year. Clio went 5 times as often as Alex. Bernice went 2 more times than Alex. How many times did Clio go to the movies last year?
A. 5
B. 10
C. 20
D. 4
Answers
So we have
X 5x and x+2
All toghter 7x+2=30 so alex went there 4 times so clii went 20times
Step-by-step explanation:
30/4=7.4
30/5=6
6/3=2
Alex went to the moves 4 times that year.
The table shows the depths (relative to sea level) of several scuba divers.
What is the difference between Oscar's depth and Annabelle's depth? Write your answer as a mixed number in simplest form
Answers
Answer:(-6 5/6)
Step-by-step explanation:
-12.5=-12-1/2
-5 2/3= -5-2/3
=(-12 3/6)-(-5 4/6)
=(-6 5/6)
gimme brainlliest
The city council voted on a new tax. 38 council members voted in favor of the tax. The council has 76 members. What percentage of the council members voted in favor of the tax
Answers
The percentage of the council members who voted in favor of the tax is 50%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the council has 76 members out of which 38 members voted in favor of the tax.
The percentage amount of members who favor the tax is:
(38/76) × 100%
= 50%
Hence, the percentage of the council members who voted in favor of the tax is 50%.
Learn more on percentages here:
https://brainly.com/question/14979505
#SPJ1
5 The graph shows the relationship between the number of hours Teresa spends
knitting and the number of squares she completes for a blanket. Based on the
equivalent ratios shown in the graph, how many hours does it take Teresa to
knit 265 squares? Show your work.
Teresa's Knitting
Completed Squares
60
50
40
30
20
10
0
0
•
●
6
●
8 10 12
Hours Knitting
Answers
It will take 220.8 hour, Teresa to knit 265 squares
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
Given that the relationship between the number of hours Teresa spends
knitting and the number of squares she completes for a blanket.
We need to find the hours does it take Teresa to knit 265 squares.
Now Based on the equivalent ratios we have;
Teresa's Knitting /Completed Squares
10/12 = x / 265
Thus, Now cross multiplication we get;
x = 265(10/12)
x = 220.8
The answer is 220.8
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ1
Miles is renting a meeting room at a college. There is a reservation fee of $21 and an additional fee of $4 per hour. He needs to spend no more than $85. What is the possible number of hours for which Miles could rent the meeting room? Use t for the number of hours.
t ≤26.5
t<4
t ≤ 16
t<21.25
Answers
The equation represents that, Miles could rent the meeting room for t ≤ 16 hours.
What is inequality?
The word inequality means a mathematical expression in which the sides are not equal to each other. Basically, an inequality compares any two values and shows that one value is less than, greater than, or equal to the value on the other side of the equation.
The total cost for Miles to rent the meeting room for t hours is given by the equation C = 21 + 4t. We are trying to find the number of hours t for which C is equal to or less than $85.
We can solve this problem by setting up the inequality 21 + 4t ≤ 85 and solving for t.
Subtracting 21 from both sides gives us 4t ≤ 64.
Dividing both sides by 4 gives us t ≤ 16.
Thus, Miles can rent the meeting room for t hours, where t is less than or equal to 16. This means that he can rent the room for 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, or 16 hours.
Hence, the equation represents that, Miles could rent the meeting room for t ≤ 16 hours.
To learn more about inequality visit,
https://brainly.com/question/12371526
#SPJ1
express 2/(1-(x^2)) into partial fractions
Answers
2/ ( 1 + x) ( 1 - x) is express into partial fractions.
With an example, what is a partial fraction?
The division of an algebraic fraction into smaller, "partial fractions," components is possible. Think about the algebraic fraction (3x+5) (2x2-5x-3). This formula can be broken down into its simplest form, [2/(x - 3)] - [1/(2x + 1)]. Partial fractions are the more straightforward pieces [2/(x - 3)] and [1/(2x + 1)].
The four categories of partial fractions are linear factors, degree 2 irreducible factors, repeated linear factors, and repeated irreducible degree 2 factors.
= 2/(1-(x^2))
= 2 / (1)² - (X)²
= 2/ ( 1 + x) ( 1 - x)
Learn more about partial fraction
brainly.com/question/29177355
#SPJ1
The weight of 10-week-old male children is distributed given a normal with a standard deviation of 87 grams.
How much data is enough to estimate, with a 95% confidence, the average weight of this population with an error not superior to 15 grams?
Answers
To determine how much data is enough to estimate the average weight of this population with a 95% confidence and an error not superior to 15 grams, we would need to use a statistical sample size calculator or consult a statistical table. Factors that would need to be considered include the desired confidence level, the desired margin of error, and the standard deviation of the population.
Using a sample size calculator, we can input these values and determine the required sample size. For example, with a 95% confidence level, a margin of error of 15 grams, and a standard deviation of 87 grams, the required sample size would be approximately 38 children. This means that we would need to measure the weight of at least 38 male children who are 10 weeks old in order to estimate the average weight of the population with a 95% confidence and an error not superior to 15 grams.
It is important to note that this is just an estimate and the actual sample size may vary depending on the specific characteristics of the population being studied. Additionally, it is always a good idea to consult with a statistician or other expert to ensure that the appropriate sample size is used in any statistical analysis.
How long will it take 15 machines to complete a task given that it takes 9 days for 5 machines to complete the same task?
Answers
Total machine days are 5 9 = 45 thus, it will take 3 days to complete the same test with 15 machines.
What are work and time?Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.
Another example of work is that if you have done your food by 1 hour it means your work duration is 1 hour so work is basically the time duration of any task which you have done.
As per the given,
5 machines take 9 days,
5 x 9 = 45 machines day
45/15 = 3 days
Hence "Total machine days are 5 9 = 45 thus, it will take 3 days to complete the same test with 15 machines".
For more information about the work and time relation,
brainly.com/question/6912604
#SPJ1
18x=6(z-1) solve for z
Answers
Answer: z=3x+1
Step-by-step explanation:
1. Distribute 6 through the parentheses
18x=6z-6
2. Move the z variable to the left side and x variable to the right
-6z= -6-18x
3. Divide both sides by -6 in order to get z by itself
z=1+3x
4. Reorder the terms using commutative property
z=3x+1
Given the following exponential function,
identify whether the change represents
growth or decay, and determine the
percentage rate of increase or decrease.
y = 970(1.042)*
Answers
The change represents growth and rate of increase is 4.2%
What is an exponential function?Exponential functions model a relationship in which a constant change in the independent variable gives the same proportional change.
Given that, an exponential function y = 970(1.042)ˣ
When the growth rate is greater than 1, then the function represents a growth.
The general form equation is:
y(x)= a(1+r)ˣ such that r is the growth percent.
So,
1+r = 1.042
r = 0.042
r = 4.2%
Hence, the growth rate is 4.2%
For more references on Exponential functions, click;
https://brainly.com/question/14355665
#SPJ1
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 8.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 8.4 pounds/square inch with a standard deviation of 1.0 A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
The decision for rejecting the null hypothesis is μ = 8.4
In statistics the term hypothesis refers a tentative statement about the relationship between two or more variables.
Here we have given that engineer designed a valve that will regulate water pressure on an automobile engine and he is designed the valve such that it would produce a mean pressure of 8.0 pounds/square inch. Then it is believed that the valve performs above the specifications. Where the valve was tested on 24 engines and the mean pressure was 8.4 pounds/square inch with a standard deviation of 1.0 Here the level of significance of 0.05 will be used.
Here we have to determine the decision for rejecting the null hypothesis.
While we looking into the the given question we have identified the following values,
Standard deviation = 1.0
Mean pressure = 8.4 pounds/square
Level of significance = 0.05
Sample size = 24
According to these values the null and alternative hypothesis is written as,
H0 = μ = 8.4
Hx = μ ≠ 8.4
Therefore, H0 = μ = 8.4 is the decision for this one.
To know more about hypothesis here.
https://brainly.com/question/29576929
#SPJ4
A wire of length 15 is cut into two pieces which are then bent into the shape of a circle of radius r and a square of side s . Then the total area enclosed by the circle and square is the following function of s and r If we solve for s in terms of r , we can reexpress this area as the following function of r alone:
Thus we find that to obtain maximal area we should let r= To obtain minimal area we should let r=
Answers
Since s = (15 - 2πr ) / 4 and s > 0, the maximum r is 15/(2π). This same r will also maximize the area.
Since the length of 15 is divided between the circumference of the circle and the perimeter of the square,
2πr + 4s = 15 ⇒ s = (15 - 2πr ) / 4
A = πr2 + s2 = πr2 + [ (15 - 2πr ) / 4]2 = πr2 + (225 - 60πr + 4π2r2) / 16
A = π(1 + π/4)r2 - (15/4)πr + 225/16
dA/dr = 2π(1 + π/4)r - (15/4)π = 0 ⇒ r = (15/4)π / [2π(1 + π/4)] = 15 / (8 + 2π)
Since A(r) is concave up, it has a minimum at
r = 15 / (8 + 2π)
Since s = (15 - 2πr ) / 4 and s > 0, the maximum r is 15/(2π). This same r will also maximize the area.
To learn more about circumference visit:
https://brainly.com/question/28757341
#SPJ4
Write the missing numbers
2. 200 300
-600 +400
_____ _____
3. 3 hours= ____minutes
_____hours= 1 day
_______months= 2 years
Answers
The missing numbers are 3 hours = 180 minutes 24 hours = 1 day
24 months = 2 years
What are numbers ?
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
An arithmetic value used to indicate amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers. For instance, this is a single butterfly, and these are four.
1. 5 × x = 45
45 / 5 = x
x = 9
45 ÷ 5 = 9
2. 200 + 600 = 800
300 + 400 = 700
3. 3 hours = 180 minutes
3 * 60 minutes
24 hours = 1 day
24 months = 2 years
12 * 2 = 24
To learn more about numbers from the given link
https://brainly.com/question/24644930
#SPJ1
6 Find the value of the unknowns in each of the following.
(a) 2(w 2 5 z)+3(2 x -2 -6)=4(4 7 y 3)
Answers
The required value of the unknowns in the given sum of the matrix are w = -5, z = 15, and y = 1.
Given,
To determine the value of the unknowns in the matrix,
A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
[tex]2\left[\begin{array}{ccc}w&2\\5&z\end{array}\right] +3\left[\begin{array}{ccc}2&x\\-2&-6\end{array}\right] = 4\left[\begin{array}{ccc}4&7\\y&3\end{array}\right][/tex]
From the above matrix,
Equation formed,
2w + 6 = 16,
w = 5,
2z -18 = 12
z = 15
10 - 6 = 4y
y = 1
Thus, the required value of the unknowns in the given sum of the matrix are w = -5, z = 15, and y = 1.
Learn more about matrix here:
https://brainly.com/question/28180105
#SPJ1
Write as a logarithmic equation. 2^1/2= square root 2
Answers
Answer:
1
log₂√2 = ------
2
Step-by-step explanation:
I'm assuming the equation looks like this:
2¹⁽² = √2
1
log₂√2 = ------
2
I hope this helps!
Tisha’s mom wants to make a smoothie using this recipe. How many cups of blueberries will she need if he uses 15 bananas?
Answers
Answer:
5 cups
Step-by-step explanation:
6bananas =2cups
6(2cups)+6(2cups)+3(1cup)= 15 bananas
5cups of blueberries
Write a polynomial function with
zeros: 4, 5i
PLEASE HELP ASAP ITS DUE TMR
Answers
Answer:
[tex]85 \sqrt{5} [/tex]
Which statement is correct?
A)The Interquartile Range (IQR) for the Chess Club is equal to the IQR for the Checkers Club.
B)The 3rd Quartile ages for the Chess Club is equal to the 3rd Quartile ages for the Checkers Club.
C)The Median age for the Chess Club members is twice that of the Median age for the Checkers Club members.
D)The Range of the Chess Club members is equal to the Range for the Checkers Club members.
Answers
Answer:
B
Step-by-step explanation:
Which expression is equivalent to (ab7)4?
ab28
ab11
a5b11
a4b28
Answers
The expression that is equivalent to the given expression, (ab⁷)⁴, is a⁴b²⁸. The correct option is the last option a4b28
Writing an equivalent expressionFrom the given information, we are to determine the expression that is equivalent to the given expression
The given expression is
(ab⁷)⁴
To determine the expression that is equivalent to this expression, we will expand the given expression
Expanding the expression
(ab⁷)⁴
Applying the distributive exponent law of indices,
(a)⁴ × (b⁷)⁴
Simplifying
a⁴ × b²⁸
= a⁴b²⁸
Hence, the equivalent expression is a⁴b²⁸
Learn more on Writing an equivalent expression here: https://brainly.com/question/28058543
#SPJ1
Answer:
I think it's a4b28
Step-by-step explanation:
Pls answer its for my final
Answers
The equivalent expression is (x + 2√3i) (x - 2√3i).
What is a Polynomial Equation?
The equations formed with variables, exponents and coefficients are called as polynomial equations. It can have different exponents, where the higher one is called the degree of the equation.
Given polynomial is,
x² + 12
We need to find it's equivalent expression for that see the options
Solve the option (a)
(x + 2√3i) (x - 2√3i)
Now, solve this if we get equal to x² + 12 that means that option is answer
x(x - 2√3i) + 2√3i(x - 2√3i)
x² - 2xi√3 + 2xi√3 - 2√3i * 2√3i
x² - 12 i²
we know, i² = -1
so, we get
x² + 12
We get the answer by 1st option. If you solve other options you'll get different answer.
Hence, the equivalent expression is (x + 2√3i) (x - 2√3i).
To read more about Polynomial Equation.
https://brainly.com/question/2833285
#SPJ1
I Need Help For This TGA
Answers
Comparing the given expression as per the solution:
(8 + 3² - 2·6)/(7 - 1·2) > (3/4 + 1/8) + 1/8 - 2²
The expressions are given in the question as:
(8 + 3² - 2·6)/(7 - 1·2) and (3/4 + 1/8) + 1/8 - 2²
As per the PEMDAS rule, the required solution would be as:
⇒ (8 + 3² - 2·6)/(7 - 1·2)
⇒ (8 + 9 - 12)/(7 - 2)
⇒ (17- 12)/5
⇒ 5/5
⇒ 1
⇒ (3/4 + 1/8) + 1/8 - 2²
⇒ (6 + 1)/8 + 1/8 - 4
⇒ 7/8 + 1/8 - 4
⇒ (7 + 1)/8 - 4
⇒ 8/8 - 4
⇒ 1 - 4
⇒ -3
Here 1 > -3
Thus, comparing the given expression as per the solution:
(8 + 3² - 2·6)/(7 - 1·2) > (3/4 + 1/8) + 1/8 - 2².
Learn more about the PEMDAS rule here :
https://brainly.com/question/20876480
#SPJ1
Answer:Pemdas
Step-by-step explanation:Comparing the given expression as per the solution:
(8 + 3² - 2·6)/(7 - 1·2) > (3/4 + 1/8) + 1/8 - 2²
The expressions are given in the question as:
(8 + 3² - 2·6)/(7 - 1·2) and (3/4 + 1/8) + 1/8 - 2²
As per the PEMDAS rule, the required solution would be as:
⇒ (8 + 3² - 2·6)/(7 - 1·2)
⇒ (8 + 9 - 12)/(7 - 2)
⇒ (17- 12)/5
⇒ 5/5
⇒ 1
⇒ (3/4 + 1/8) + 1/8 - 2²
⇒ (6 + 1)/8 + 1/8 - 4
⇒ 7/8 + 1/8 - 4
⇒ (7 + 1)/8 - 4
⇒ 8/8 - 4
⇒ 1 - 4
⇒ -3
Here 1 > -3
Thus, comparing the given expression as per the solution:
(8 + 3² - 2·6)/(7 - 1·2) > (3/4 + 1/8) + 1/8 - 2².
Given that 58% of all gold dealers believe next year will be a good one to speculate
in South African gold coins, in a simple random sample of 150 dealers, what is the
probability that between 55% and 60% believe that it will be a good year to
speculate?
Answers
The normal distribution is a continuous probability distribution that is symmetrical around the mean. The mean in this case is 58%, and the standard deviation can be calculated using the formula:
standard deviation = sqrt( (p * (1 - p)) / n )
where p is the proportion of all gold dealers who believe that it will be a good year to speculate (58% in this case) and n is the sample size (150 in this case).
Plugging in the given values, we get:
standard deviation = sqrt( (0.58 * (1 - 0.58)) / 150 ) = 0.042
To find the probability that between 55% and 60% of the sample believe that it will be a good year to speculate, you can use a z-score table to find the z-score for 55% and 60%, and then use these z-scores to find the probability.
The z-score for 55% is (55 - 58) / 0.042 = -7.14, and the z-score for 60% is (60 - 58) / 0.042 = 2.38.
Using a z-score table, you can find that the probability of a z-score between -7.14 and 2.38 is approximately 0.45.
Therefore, the probability that between 55% and 60% of a sample of 150 gold dealers believe that it will be a good year to speculate in South African gold coins is approximately 0.45.
Mary wishes to estimate the mean height of women aged 18-24. She picks a sample of 100
women aged between 18 and 24 and constructs a 99% confidence interval for the
population mean. If she were to repeat this procedure 200 times in total, she would obtain
200 different confidence intervals. How many of these intervals would you expect to
contain the population mean, u? Explain your thinking.
Answers
We would expect 198 of the intervals to contain the mean.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data
Given that Mary wishes to estimate the mean height of women aged 18-24.
picks a sample of 100
Women aged between 18 and 24 and constructs a 99% confidence interval for the population mean.
If Mary were to repeat this procedure 200 times in total, she would obtain
200 different confidence intervals.
A confidence interval of a parameter gives an interval in which the parameter is expected to be found. Because the interval either contains or doesn't contain the parameter, the probability is either 0 or 100%, which is not helpful. A 95% CI says that if we construct 100 intervals, 95% will contain the parameter. That is a true percentage, not a confidence. We don't know which 95, however, since the parameter is still unknown or unknowable.
I would expect 99%×200 or 198 of the intervals to contain the mean.
Hence, would expect 198 of the intervals to contain the mean.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ1
(2x-123):3=33 ;200-8.(2x+7)=112
Answers
Answer:
x = 222:2 and x = 2
Step-by-step explanation:
(2x-123):3=33
(2x – 123):3 = 33
2x – 123 = 33.3
2x – 123 = 99
2x = 99 + 123
2x = 222
x = 222:2
x = 111
200-8.(2x+7)=112
200 – 8.(2x + 7) = 112
-8.(2x + 7) = 112 – 200
-8.(2x + 7) = -88
2x + 7 = (-88):(-8)
2x + 7 = 11
2x = 11 – 7
2x = 4
x = 4:2
x = 2
I hope my answer helps you.
The function f(x) is a cubic function and a limited table of values is provided below. Write the equation of the cubic polynomial in standard form.
Answers
The equation of the cubic polynomial is f(x) = x³ - x² -9x + 9.
What is a polynomial function?
Polynomial functions are defined for all values of x and have a finite number of roots (x-values at which the function is equal to 0). The roots of a polynomial function can be found by solving the equation f(x) = 0.
By using the given table, we can plot the points on the graph and we can draw a graph
• Fitted coefficients:
a = 9
b = -9
c = -1
d = 1
Then we can prepare the polynomial as
y = 9 - 9x - x² + x³
Now write down in the standard form, we get
f(x) = x³ - x² -9x + 9
Hence, the equation of the cubic polynomial is f(x) = x³ - x² -9x + 9.
To learn more about polynomials, visit:
https://brainly.com/question/2833285
#SPJ1
Determine whether the statement is always, sometimes, or never true.
When the measure of ∠4 is 120° , the measure of ∠1 is 60°
always true
sometimes true
never true
Answers
Answer:
always true , because 120+60=180
Help me thank y very much
Answers
Answer: 1/2
Step-by-step explanation:
Use rise over run. Up 1, over 2.
And so on. Find nice points on the graph to practice slope with!