Answers
Answer:
12
Step-by-step explanation:
x^2 -bx +36
A perfect square trinomial is of the form
a^2 -2abx +b^2
x^2 -bx +6^2
a =1 and b = 6
2ab = 2*1*6 = 12
Related Questions
Please help me with the math question
Answers
Answer:
neither even nor odddegree 5LC negativeroots {-6, -4, 0, 2, 3}Step-by-step explanation:
The function's graph is not symmetrical about the origin, so it is not an odd function. It is not symmetrical about the y-axis, so is not an even function.
The function is neither even nor odd.
There are 5 zero-crossings and no places where y=0 and the graph does not cross. This means the function is of degree 5, at least.
The general shape of the function is down and to the right, so the sign of the function for large values of x is opposite the sign of x. The leading coefficient must be negative.
As we noted, there are 5 zero-crossings. These are the real roots. They are found at x-values in the set {-6, -4, 0, 2, 3}.
The distance between two cities on a map is 13 cm. What is the actual distance between the cities if the map is drawn at a scale of 1:50,000?
Answers
Answer:
65,000
Step-by-step explanation:
because the scale is 1:50,000, so just simply multiply by 50,000.
Answer:i am not going to answer htis question 4 u but i will tell u how 2 do it first u mulitply 50,000 by 13 then you convert the number of centimeters u get into kilometers (this is where most people get wrong cuz there 2 lazy to read the question.
PLEASE HELP ME
I DONT UNDERSTAND
Answers
Answer: its letter A
Step-by-step explanation:
Answer:
145
Step-by-step explanation:
This is pretty simple, the three angles inside the triangle equal to 180 degrees, so if you add 80 and 65 and subtract that from 180, you get 35. So two angles that are connected to a single line equal to 180, so you just subtract 35 from 180 to get 145. Therefore, <1 = 145.
Sadie wrote the following on the board find and correct her mistake 2years= 24 weeks
Answers
A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 64% solution. How many liters of the 40% and how many liters of the 70% solutions will be used?
Answers
Answer:
We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.
We set up 2 equations where "f" is the 40 % and "s" is the 70%
A) f + s = 240
B) .40f + .70s = (.64 * 240) (or 153.6)
To solve both equations we multiply A) by -.40
A) -.40 f - .40 s = -96.00 then we add this to B)
B) .40f + .70s = 153.60
.30s = 57.6
s = 192
f = 48
48 liters of 40% = 19.20 liters of antifreeze
192 liters of 70% = 134.40 liters of antifreeze
That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.
Double Check
153.60 / 240 = 64% antifreeze.
Step-by-step explanation:
What is the quotient? Will give brainliest and will report absurd answers.
Answers
Answer:
D
Step-by-step explanation:
When dividing fractions, multiply the first number by the reciprocal of the second number
2/5 ÷ 1/3
First, find the reciprocal of the second number: 1/3
To find the reciprocal, flip the numerator (top number) and denominator (bottom number)
1/3-->3/1
Now, multiply 2/5 and 3/1
2/5 * 3/1
Multiply across the numerators and denominators
6/5
Consider the different impacts that these two aspects of statistics will have on your role as an engineer. Discuss how these two branches of statistics will provide different capabilities and impacts in your engineering discipline. Provide an example of an area where you might use descriptive statistics to better understand a variable, as well as an example of an area where inferential statistics might be needed to draw some conclusion from a set of variables data that you have. Do you see both descriptive and inferential statistics being necessary for your future success as an engineer
Answers
Answer:
Check the explanation
Step-by-step explanation:
Key Differences Between Descriptive and Inferential Statistics:
The difference between descriptive and inferential statistics can be drawn clearly on the following grounds:
Descriptive Statistics is a discipline which is concerned with describing the population under study. Inferential Statistics is a type of statistics; that focuses on drawing conclusions about the population, on the basis of sample analysis and observation.
Descriptive Statistics collects, organised, analyzes and presents data in a meaningful way. On the contrary, Inferential Statistics, compares data, test hypothesis and make predictions of the future outcomes.
There is a diagrammatic or tabular representation of final result in descriptive statistics whereas the final result is displayed in the form of probability.
Descriptive statistics describes a situation while inferential statistics explains the likelihood of the occurrence of an event.
Descriptive statistics explains the data, which is already known, to summaries sample. Conversely, inferential statistics attempts to reach the conclusion to learn about the population; that extends beyond the data available.
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of descriptive statistics is the following statement :
"80% of these people have the last name Nicolussi."
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of inferential statistics is the following statement :
"80% of all people living in Italy have the last name Nicolussi."
We have no information about all people living in Italy, just about the 350 living in Luserna. We have taken that information and generalized it to talk about all people living in Italy. The easiest way to tell that this statement is not descriptive is by trying to verify it based upon the information provided.
Answer:
The question is incomplete, the complementary part is left on the graph and the requested ones are answered
Differences between inferential and descriptive statistics:
1. We know that in descriptive statistics the main objective is only to describe data from the population, in inferential what is sought is to analyze data to draw conclusions from them
2. In descriptive statistics, the process involves collecting information, organizing it, and displaying data that are relevant or significant. In inferential statistics, the data is taken and processed to evaluate hypotheses and draw conclusions regarding future results.
3. the representation in the descriptive statistics is made by means of diagrams or tabulations and the result in the inferential one is given in probability
4. When we have a situation, descriptive statistics allows us to describe it and, in inferential, we obtain the probability that the event will occur.
descriptive statistics is based on known data, inferential it is intended to project future situations, which allows with all the previous answers to generate an important panorama for the development of engineering and its true application in a real field
-. an example is the following
Of 350 people taken at random in Madrid, Spain, 280 had the surname Martinez, we can take this situation to the descriptive statistic as follows:
80% of people carry the surname Martinez
We have, then, the result of a small sample of a city, not of the entire population of Spain, so the result has been generalized and we refer to a country from a small sample, however we must verify it and take it to a statistic inferential
In which quadrant does the point (5, -13) lie?
A.
Quadrant IV
b. Quadrant !
c. Quadrant III
D.
Quadrant II
Answers
Answer:
IV
Step-by-step explanation:
Since x is positive, the two possible quadrants are I and IV.
Since y is negative, the two possible quadrants are III and IV.
The point lies in quadrant IV.
Simplify the following expression 1^9
Answers
Answer:
1
Step-by-step explanation:
More Information From the Online Dating Survey A survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating (either an online dating site or a dating app on their cell phone). 55- to 64-year-olds The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. If we use this sample to estimate the proportion of all American adults ages 55 to 64 to use online dating, the standard error is 0.016. Find a 90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating. Round your answers to three decimal places. The 90% confidence interval is Enter your answer; The 90% confidence interval, value 1
Answers
Answer:
90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].
Step-by-step explanation:
We are given that a survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating.
The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating.
Firstly, the pivotal quantity for 90% confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of adults who said that they had used online dating = [tex]\frac{50}{411}[/tex] = 0.122
n = sample of adults between the ages of 55 and 64 = 411
p = population proportion of all US adults ages 55 to 64 to use online dating
Here for constructing 90% confidence interval we have used One-sample z proportion statistics.
So, 90% confidence interval for the population proportion, p is ;
P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level
of significance are -1.645 & 1.645}
P(-1.645 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.645) = 0.90
P( [tex]-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90
P( [tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90
90% confidence interval for p = [[tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex], [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]
= [ [tex]0.122-1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }[/tex] , [tex]0.122+1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }[/tex] ]
= [0.095 , 0.148]
Therefore, 90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].
Range of f(x)=-(x-5)^2+9
Answers
Answer: (5, -9)
Step-by-step explanation:
Rewrite the equation in term of x and y.
Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 444 classical songs, 333 rock songs, and 222 rap songs on it. Chen is going to listen to 360360360 songs.
What is the best prediction for the number of times Chen will listen to a classical song?
Answers
Answer:
160160160 times
Step-by-step explanation:
(444/999)360360360=160160160
Answer:
its d
Step-by-step explanation:
its d
The Pew Research Center reported in 2018 that 68% of U.S. adults rated "reducing health care costs" as a national priority. This year a survey is conducted with a national sample of 1,505 U.S. adults selected by a combination of landline and cell phone random digit dials. This year's survey finds that 70% of the sample says that "reducing health care costs" is a national priority.
We test the following hypotheses:
H0: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is still 0.68.
Ha: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68.
The P-value is 0.045. At a 5% significance level, we would reject the null hypothesis and concluded that the proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68.
Explain the P-value in the context of this issue.
Answers
A P-value of 0.045 suggests that there is a 4.5% chance of observing a sample proportion as extreme as 70% or more, assuming the null hypothesis is true. If the P-value<0.05 (usually considered a threshold), we typically reject the null hypothesis - here, indicating that more than 68% consider health care cost reduction a national priority.
Explanation:In statistics, a P-value is a probability that provides a measure of the evidence against the null hypothesis (H₀). A P-value of 0.045, as given in this instance, indicates that if the null hypothesis were true (i.e., 68% of U.S. adults still consider reducing health care costs a national priority), there is only a 4.5% probability of observing a sample proportion as extreme as 70% or more.
Commonly, a threshold (α) is set at 0.05 or 5%. If the P-value is less than α (which it is in this case, 0.045 < 0.05), we reject the null hypothesis in favor of the alternative hypothesis. Consequently, we conclude there is sufficient evidence to suggest that the proportion of U.S. adults this year who rate 'reducing health care costs' as a national priority is higher than 68%.
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The P-value of 0.045 provides statistically significant evidence to reject the null hypothesis and support the alternative hypothesis that the proportion of U.S. adults who rate 'reducing healthcare costs' as a national priority has increased from the previous 68%.
Explanation:In the context of this issue, the P-value of 0.045 represents the probability of observing a sample proportion as extreme as 70%, or more, given that the null hypothesis is true - the null hypothesis being that the true proportion of U.S. adults who rate 'reducing healthcare costs' as a national priority is 68%.
If the P-value is less than or equal to the significance level (in this case, 5% or 0.05), we reject the null hypothesis. Since 0.045 is indeed less than 0.05, we reject the null hypothesis, supporting the alternative hypothesis that the proportion of U.S. adults who view reducing healthcare costs as a national priority is greater than 68%.
Therefore, the P-value of 0.045 suggests there is statistically significant evidence to conclude that the perception of 'reducing healthcare costs' as a national priority has increased amongst U.S. adults recently.
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A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four right out of six tries just by chance alone. Which of the following would provide an accurate estimate of that probability? Remember, you are trying to prove that four out of six is unusual or not unusual if one truly does not know the taste difference.
A. Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.
B. Simulate this on the computer with the probability of 50% of guessing the correct soft drink on each try, and calculate the percent of times there are four or more correct guesses out of six trials.
C. No need to run any further tests, since 4 out of 6 is better than half of the time, we would say the student's claim is correct.D. Have the student repeat this experiment many times and calculate the percentage of times she correctly distinguishes between the brands
Answers
Answer:
A
Step-by-step explanation:
Identify which statement about the mean of a discrete random variable is not true or state that they are all true.Choose the correct answer below.A.The mean can be interpreted as the average outcome if the experiment is repeated many times.B.The mean must be a possible value of the random variable.C.The mean can be found using the formula Summation from nothing to nothing x times Upper P (x ).D.All of these statements are true.
Answers
Answer:
A, C are true . B is not true.
Step-by-step explanation:
Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.
The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).
Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75
The mean may not be a possible value of the random variable.
Example : Mean of possible no.s on a die = ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 21/6 = 3.5, which is not a possible value of the random variable 'no. on a die'
The correct answer is statement B, 'The mean must be a possible value of the random variable'. This claim is incorrect because the mean of a discrete random variable, calculated as the expected value, does not necessarily have to be a possible value of the variable.
Explanation:In the given options, the only statement about the mean of a discrete random variable that is not true is 'B. The mean must be a possible value of the random variable.' The mean or expected value of a discrete random variable is calculated as the sum of all possible values each multiplied by their respective probabilities (Statement C). The expected value or mean can indeed be interpreted as the average outcome if the experiment is repeated many times (Statement A), but it does not necessarily need to be an exact outcome or possible value of the random variable.
This is especially true for distributions such as the binomial and Poisson distributions, where the calculation of the mean relies on the probability of events and does not have to align with specific outcomes. Hence, the statement 'B. The mean must be a possible value of the random variable' is incorrect.
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For what value of a does 9=(1/27)^2+3
Answers
Answer:
if a= (1/27)^2 + 3, then a is about 3.00137
Step-by-step explanation:
I assume you have a typo here.
Your equation should be a = (1/27)^2 + 3 ...
If that is so, a = (1/27)^2 + 3 = 3.00137...
The sum of 3 consecutive integers is 60. What is the value of the third integer?
Answers
Answer:
x=19
Step-by-step explanation:
The consecutive integers will be x, x+1 and x+2 since consecutive integers have a pattern.
So, the equation is x+x+1+x+2=60
Solve:
x+x+1+x+2=60
3x+3=60
Subtract 3 on both sides:
3x+3-3=60-3
3x=57
Divide by 3
3x/3=57/3
x=19
A private and a public university are located in the same city. For the private university, 1042 alumni were surveyed and 655 said that they attended at least one class reunion. For the public university, 796 out of 1318 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05)
Answers
Answer:
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the proportion of alumni that assist to at least a one class reunion is different for privates university and public university (p-value=0.222).
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion of alumni that assist to at least a one class reunion is different for privates university and public university.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]
where π1: proportion of private university alunmi that have attended at least one class reunion, and π2: proportion of public university alunmi that have attended at least one class reunion.
The significance level is 0.05.
The sample 1 (private), of size n1=1042 has a proportion of p1=0.6286.
[tex]p_1=X_1/n_1=655/1042=0.6286[/tex]
The sample 2 (public), of size n2=1318 has a proportion of p2=0.6039.
[tex]p_2=X_2/n_2=796/1318=0.6039[/tex]
The difference between proportions is (p1-p2)=0.0247.
[tex]p_d=p_1-p_2=0.6286-0.6039=0.0247[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{655+796}{1042+1318}=\dfrac{1451}{2360}=0.6148[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.6148*0.3852}{1042}+\dfrac{0.6148*0.3852}{1318}}\\\\\\s_{p1-p2}=\sqrt{0.00023+0.00018}=\sqrt{0.00041}=0.0202[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0247-0}{0.0202}=\dfrac{0.0247}{0.0202}=1.222[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]P-value=2\cdot P(t>1.222)=0.222[/tex]
As the P-value (0.222) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the proportion of alumni that assist to at least a one class reunion is different for privates university and public university.
To determine if the difference in sample proportions is statistically significant, we can perform a hypothesis test.
Explanation:To determine if the difference in sample proportions is statistically significant, we can perform a hypothesis test.
First, we need to state the hypotheses. The null hypothesis (H0) is that there is no difference in the proportions, and the alternative hypothesis (Ha) is that there is a difference in the proportions.Next, we can calculate the standard error of the difference in sample proportions using the formulas: [tex]SE_{\text{diff}} = \sqrt{\left(\frac{p_1(1-p_1)}{n_1}\right) + \left(\frac{p_2(1-p_2)}{n_2}\right)}[/tex]where p1 and p2 are the sample proportions and n1 and n2 are the sample sizes.Then, we can calculate the test statistic using the formula: test_statistic = (p1 - p2) / SE_diffFinally, we can compare the test statistic to the critical value from the standard normal distribution to determine if the difference in sample proportions is statistically significant.In this case, the test statistic is calculated as [tex]\frac{\frac{655}{1042} - \frac{796}{1318}}{\sqrt{\frac{655}{1042}\left(1 - \frac{655}{1042}\right)/1042 + \frac{796}{1318}\left(1 - \frac{796}{1318}\right)/1318}}[/tex] By comparing the test statistic to the critical value at a significance level of 0.05, we can determine if the difference in sample proportions is statistically significant.
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please help meeeee and I am stuck on this question
Answers
Answer:
b = 3
Step-by-step explanation:
the area of the parallelogram is 7*b, since we know it is 21, b = 3.
The answer is the square root of 15
An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 19 novels, 22 plays, and 22 nonfiction books. If he wants to include an equal number of novels, plays, and nonfiction books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
Answers
Answer:
The total number of reading schedules is [tex]83.3927415552\cdot 10^{13}[/tex]
Step-by-step explanation:
Recall that if we have n elements, the number of ways in which we can choose k elements without minding the order is [tex]\binom{n}{k}=\frac{n!}{(n-k)! k!}[/tex].
At first, suppose that we have already chosen 9 books. If we want to number the order in which we are reading this books from 1 to 9, for position 1 we have 9 options, for position 2, we have 8 and so on. Using the multiplication principle, we have that the number of ways or arranging 9 books is 9!
Recall that we want the same amount from novels, plays and nonfiction. That is, we are choosing 3 books from each group. We can easy calculate the total number of ways of choosing the 9 books by simply multiplying the number of ways we choose 3 from each cathegory. Hence the total number of ways of choosing the 9 books is
[tex]\binom{9}{3}\cdot \binom{22}{3}\cdot \binom{22}{3}[/tex]
For each selection of 9 books, we have 9! different ways of organizing them, then the total number is
[tex]\binom{9}{3}\cdot \binom{22}{3}\cdot \binom{22}{3}\cdot 9! = 83.3927415552\cdot 10^{13}[/tex]
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a card greater than 2 and less than 5. The probability of being dealt a card greater than 2 and less than 5 is........
Answers
Final answer:
The probability of being dealt a card greater than 2 and less than 5 from a standard deck of 52 cards is 2/13.
Explanation:
The probability of being dealt a card greater than 2 and less than 5 from a standard 52-card deck means you are looking for 3s and 4s from each suit (hearts, spades, clubs, diamonds).
For each suit, there is one 3 and one 4, making a total of 8 possible cards (2 cards per suit multiplied by 4 suits). To calculate the probability, you divide the number of favorable outcomes by the number of possible outcomes. So, this probability is 8/52, which simplifies to 2/13 when reduced.
I want to know if mammals usually have more teeth than reptiles
Answers
Answer: yes reptiles have no teeth at all while mammals have two sets of teeth
Step-by-step explanation:
Answer:
dot plot
Step-by-step explanation:
gay gay
The graph for the equation y = x minus 4 is shown below.
On a coordinate plane, a line goes through (0, negative 4) and (4, 0).
Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?
y minus x = negative 4
y minus x = negative 2
y minus 4 = x
y + 4 x = 1
Answers
Answer:
The answer is y minus x = negative 4
Step-by-step explanation:
An oblique prism has a base area of 3x2 square units. An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5. What expression represents the volume of the prism, in cubic units? 15x2 24x2 36x2 39x2
Answers
Answer: 36x^2
Step-by-step explanation:
just took eg quiz
The expression represents the volume of the prism, in cubic units is
39x². (Option D) This is because the formula for the volume of a prism is: V = Bh
What is a prism?Any 3-dimensional shape with two identical shapes facing each other is called a Prism.
Recall that the oblique prism is described as having a base area of 3x², If the height is 13 (that is the distance between the top of the quadrilateral and the bottom) hence,
V = 3x² * 13
→ V = 39x², therefore, Option D is the correct answer.
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In studying a random sample of 20 automotive batteries, the confidence interval (0.22,0.33) was constructed for the population standard deviation of the batteries' reserve capacity in hours. This population standard deviation should be less than 0.26 hour. Does the confidence interval suggest that the variation in the batteries' reserve capacities is at an acceptable level? Explain your reasoning.
Answers
Answer:
NO.
Step-by-step explanation:
From the question, we are given a random sample of 20 automotive batteries, a confidence interval =(0.22,0.33). Also, the population standard deviation is said to be less than 0.26 hour.
The confidence interval does NOT suggest that the variation in the batteries' reserve capacities is at an acceptable level.
REASON: If you look at the confidence interval, we can see that it contains the value for the standard deviation that is 0.26 and even MORE value than 0.26.
This does not give us any suggestion that the standard deviation is less than 0.26.
Final answer:
The confidence interval suggests that the variation in the batteries' reserve capacities is not at an acceptable level because the interval (0.22, 0.33) lies above the acceptable standard deviation of less than 0.26 hour.
Explanation:
In the context of the question, a constructed confidence interval for the population standard deviation of automotive batteries' reserve capacity is (0.22, 0.33 hours). To evaluate whether the variation in the batteries' reserve capacities is at an acceptable level, we would compare the interval to the stated acceptable level of a population standard deviation which should be less than 0.26 hour. Since the lower bound of the interval is above 0.22 and the entire confidence interval lies above 0.26, this suggests that the variability may be higher than the acceptable level, hence the variation is not at an acceptable level according to the specified criteria.
As for the example related to the NeverReady batteries, it demonstrates the use of sample data to question a company's claim about product performance by calculating the probability of obtaining a sample with a mean as low as or lower than observed when assuming that the company's claim is true. If the probability is very low, it casts doubt on the claim.
Let f(x)=(3)x−3. Evaluate f(0) without using a calculator.
Answers
To evaluate f(0) without using a calculator, simply substitute x with 0 in the function f(x) = 3x - 3 to get f(0) = -3.
Explanation:A mathematical function is a relationship between a set of inputs (domain) and corresponding outputs (range) such that each input is associated with exactly one output. It is a rule or process that assigns a unique value to each input. Functions are fundamental in expressing and analyzing mathematical relationships.
To evaluate f(0) without using a calculator, we can simply replace x with 0 in the given function f(x) = 3x - 3.
Therefore, f(0) = 3(0) - 3 = 0 - 3 = -3.
So, f(0) = -3.
The domain of f(x) = 4x is The range of f(x) = 4x is
Answers
Answer:
all real numbers
y>0
Step-by-step explanation:
The range of f(x) = 4x is all real numbers.
What are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Therefore, The range of f(x) = 4x is all real numbers.
To know more about the domain refer to :
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Study the graph of f(x) = 10x. Use the drop-down menus to identify the lines that represent the functions below. p(x) = 10(x + 4) r(x) = 10(x) + 4
Answers
Answer:
1 (line B)
2 (line A)
3 (line D)
Step-by-step explanation: We both know I don't have one.
Answer:
b , a , d
Step-by-step explanation:
edg2020
A school administrator tells everyone in the building that they will be having a fire drill randomly sometime during the school day which is from 8 a.m. to 3 p.m. If second period is from 9:20 a. m. to 10:10 a.m., what is the probability of the fire drill happening during second period?
Answers
Answer: I think the answer is 11.9% , because I had this on a quiz and this was the same question.
Step-by-step explanation:
You are given a bag with 8 green marbles, 6 blue marbles, 14 yellow marbles, and 12 red marbles. Find the theoretical probability of each random event. (Enter your probabilities as fractions.)
(a) Drawing a green marble
(b) Drawing a red marble
(c) Drawing a marble that is not yellow
Answers
b) 12/40 or 6/20
c) 26/40 or 13/20
The theoretical probability of drawing a green marble is 1/5, a red marble is 3/10, and a marble that is not yellow is 13/20 from a bag of 40 marbles with varying colors.
The question involves calculating the theoretical probability of drawing certain colored marbles from a bag with a mixed collection of marbles. To find the probability of each event, we can use the formula P(event) = Number of favorable outcomes / Total number of outcomes.
Drawing a green marble: There are 8 green marbles out of a total of 40 marbles. So, P(green) = 8/40 = 1/5.
Drawing a red marble: There are 12 red marbles out of a total of 40 marbles. So, P(red) = 12/40 = 3/10.
Drawing a marble that is not yellow: There are 26 marbles that are not yellow (8 green, 6 blue, and 12 red) out of a total of 40 marbles. So, P(not yellow) = 26/40 = 13/20.