Answer:
d. can be equal to the value of the coefficient of determination (r2).
True on the special case when r =1 we have that [tex] r^2 = 1[/tex]
Step-by-step explanation:
We need to remember that the correlation coefficient is a measure to analyze the goodness of fit for a model and is given by:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
The determination coefficient is given by [tex] R= r^2[/tex]
Let's analyze one by one the possible options:
a. can never be equal to the value of the coefficient of determination (r2).
False if r = 1 then [tex] r^2 = 1[/tex]
b. is always larger than the value of the coefficient of determination (r2).
False not always if r= 1 we have that [tex] r^2 =1[/tex] and we don't satisfy the condition
c. is always smaller than the value of the coefficient of determination (r2).
False again if r =1 then we have [tex] r^2 = 1[/tex] and we don't satisfy the condition
d. can be equal to the value of the coefficient of determination (r2).
True on the special case when r =1 we have that [tex] r^2 = 1[/tex]
The correct answer is d. can be equal to the value of the coefficient of determination (r²).
The coefficient of correlation (r) and the coefficient of determination (r²) are related statistical measures used to describe the strength and direction of the linear relationship between two variables.
The coefficient of correlation (r) quantifies the strength and direction of this linear relationship, ranging from -1 to 1, where -1 represents a perfect negative correlation, 1 represents a perfect positive correlation, and 0 represents no linear correlation.
On the other hand, the coefficient of determination (r²) is simply the square of the coefficient of correlation and represents the proportion of variance in one variable that can be explained by the linear relationship with the other variable.
Since r² is the square of r, it's entirely possible for them to be equal. In fact, when r is either 1 or -1 (perfect correlations), r² will be equal to 1, indicating that 100% of the variance in one variable is explained by the linear relationship with the other variable.
Similarly, when r is 0 (no linear correlation), r² will be equal to 0, indicating that none of the variance in one variable is explained by the linear relationship with the other variable.
So, the relationship between r and r² depends on the strength of the linear correlation, and they can indeed be equal under certain conditions.
for such more questions on coefficient
https://brainly.com/question/1038771
#SPJ3
A model rocket is launched with an initial upward velocity of 195 ft/s. The rocket's height h (in feet) after t seconds is given
by the following
h= 1951 - 1612
Find all values of 1 for which the rocket's height is 87 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 =
seconds
x
5
?
ground
Answer:
0.46 seconds or 11.72 seconds
Step-by-step explanation:
Putting 87 for h in the height equation gives ...
87 = -16t^2 +195t
Dividing by -16 puts this in a little nicer form for finding solutions.
t^2 -(195/16)t = -87/16
To "complete the square", we can add the square of half the coefficient of t:
t^2 -(195/16)t + (195/32)^2 = (195/32)^2 -87/16
(t -195/32)^2 = 32457/1024
Taking the square root, we have ...
t -195/32 = ±(1/32)√32457
t = (195 ±√32457)/32 ≈ 0.4638 or 11.7237
The rocket is at a height of 87 feet after 0.46 seconds, and again after 11.72 seconds.
What algebraic expression must be subtracted from the sum of y2+5y−1
y
2
+
5
y
−
1
and 3y2−2y+4
3
y
2
−
2
y
+
4
to give 2y2+7y−2
2
y
2
+
7
y
−
2
as the result?
Answer:
2y² -4y +5
Step-by-step explanation:
First you need to find the sum of y²+5y-1 and 3y²-2y+4
(y²+5y-1) + (3y²-2y+4) => y²+3y²+5y-2y-1+4
=4y²+3y+3
Next is to subtract 2y²+7y-2 from the sum calculated above in order to find the algebraic expression asked in the exercise
4y²+3y+3 -(2y²+7y-2) => 4y²-2y²+3y-7y+3+2
=2y² -4y +5
Therefore, the algebraic expression asked must be 2y² -4y +5
Evaluate n/6+2 when n =12
Answer:
4
Step-by-step explanation:
n/6+2
Let n = 12
12/6 +2
Division first
2 +2
4
Answer:
4
Step-by-step explanation:
plug in 12 for n and you get :: 12/6 + 2
PEMDAS says to divide first, 12/6 is 2. you add 2 next and you get 4
thank me and rate me 5 pls :)
Solve for x. 8/9x=32 Enter your answer in the box. x =
Answer:
x = 36
Step-by-step explanation:
Given;
(8/9)x = 32
Solving for x
Multiply through by 9
(8/9)×9 ×x = 32×9
8x = 32×9
Divide through by 8
8x/8 = 32×9/8
x = 36
"Jason is with a large group of friends at the movie theater. He plans on buying a
few popcorns and drinks for his friends. Each popcorn cost $4 and each drink cost
$3. He only has $24 with him."
What would be an appropriate set of inequalities to represent how many popcorns
and drinks that Jason could purchase (p = number of popcorns, d = number of
drinks)?
Answer: p*$4 + d*$3 ≥ $24
Step-by-step explanation:
The price P of popcorn is P = $4, the pricec of a drink is D = $3
He only has $24
The equation that represents the number of popcorns and drinks he can buy us:
p*$4 + d*$3 ≥ $24
This means that the maximum amount of money he can spend is $24.
In this equation you can give the value of p or d, and then find the maximum possible value for the other variable.
How are the lengths of the four sides of the parallelogram related ?
Answer:
Step-by-step explanation: Opposite sides of a parallelogram are equal.
Answer:
The opposite sides of the parallelogram have equal lengths.
Step-by-step explanation:
PLATO SAMPLE
PLEASEE HELP WILL mark BRAINLIEST
Answer:
The volume of the sphere is 972π mm³
Step-by-step explanation:
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 9mm
π = pi
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * π * (9mm)³
V = π * ⁴⁄₃ *729mm³
V = π * 972mm³
V = 972π mm³
The volume of the sphere is 972π mm³
Find the value of 18 ÷ 9 · 3.
Answer:
its 6
just simplify the expression.
-Hops
Answer: 6
Divide
18÷9=2
Multiply
2×3=6
The box plot suggests that about 50\%50%50, percent of high schools in Orange County have more than what number of band members? Choose 1 answer 80,90,105,115,130
Answer: 105
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
C
A baker uses a coffee mug with a diameter of 8cm to cut out circular cookies from a big sheet of cookie dough.
What is the area AAA of each cookie?
Give your answer in terms of pi.
Answer:
The forumula for finding area of the circle is \pi r^2.
Step-by-step explanation:
Let's find the radius of the mug:
r=\frac{d}{2}=\frac{8}{2}=4
Now, we can to express the area of each cookie in terms of pi:
Area= \pi *4^2=16\pi
Two students taking a multiple choice exam with 20 questions and four choices for each question have the same incorrect answer on eight of the problems. The probability that student B guesses the same incorrect answer as student A on a particular question is 1/4. If the student is guessing, it is reasonable to assume guesses for different problems are independent. The instructor for the class suspects the students exchanged answers. The teacher decides to present a statistical argument to substantiate the accusation. A possible model for the number of incorrect questions that agree is:
Final answer:
The possible model for the number of incorrect questions that agree is a binomial distribution. The teacher can use this model to calculate the probability of observing 8 or more agreed-upon answers.
Explanation:
The possible model for the number of incorrect questions that agree is a binomial distribution because there are a fixed number of trials (the number of questions) and each trial has two possible outcomes (agree or disagree).
The probability that student B guesses the same incorrect answer as student A on a particular question is 1/4, so the probability of agreeing on a particular question is 1/4. Since there are 20 questions, the probability that they agree on exactly 8 questions is given by the binomial probability formula: P(x = 8) = C(20, 8) * (1/4)^8 * (3/4)^12.
The teacher can use this model to calculate the probability of observing 8 or more agreed-upon answers by summing the probabilities of all possible outcomes with 8 or more agreed-upon answers: P(x ≥ 8) = P(x = 8) + P(x = 9) + ... + P(x = 20).
Sally is planning a trip for 225 students.
Place
She asks a sample of 30 students where
Theme Park
they want to go.
Theatre
Each student chooses one place.
Sports Centre
The table shows information about
her results.
Seaside
(i) Work out how many of the 225 students
you think will want to go to the Theme Park.
Answer:
Number of students want to go to Theme Park = 75
Step-by-step explanation:
Note: The given question is incomplete. Complete question is as follow.
Given:
Number of sample student = 30
Place Number of students want to go
Theme Park 10
Theater 5
Sports Center 8
Seaside 7
Find:
How many students want to go to Theme Park.
Computation:
⇒ Probability for students want to go to Theme Park = 10 / 30
⇒ Probability for students want to go to Theme Park = 1 / 3
⇒ Number of students want to go to Theme Park = [1 / 3]225
⇒ Number of students want to go to Theme Park = 75
Final answer:
Using a sample proportion, if 12 out of 30 students chose the Theme Park, we estimate that 90 out of 225 students will want to go to the Theme Park.
Explanation:
To estimate how many of the 225 students will want to go to the Theme Park, we use the results from Sally's sample of 30 students. First, we need to know the number of students in the sample who chose the Theme Park. Suppose, for instance, that 12 out of the 30 sampled students chose the Theme Park. We can set up a proportion to find the estimated number of students out of 225 who would choose the same.
Here's the proportion based on the sample data:
Number of students who chose Theme Park in the sample / Total number of students in the sample = Estimated number of students who will choose Theme Park / Total number of students planning to go
In our example, this is 12/30 = x/225, where x is the estimated total.
We cross-multiply to solve for x:
12 × 225 = 30 × x
x = (12 × 225) / 30
x = 90
Thus, we estimate that 90 out of the 225 students will prefer to go to the Theme Park.
(Sec. 8.4) In a sample of 165 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 55 students indicated a belief that such software unfairly targets students. Does this suggest that a majority of students at the university do not believe that it unfairly targets them? Test the appropriate hypotheses at the 5% significance level.
Answer:
[tex]z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29[/tex]
The p value for this case is given by:
[tex]p_v =P(z>4.29)=8.93x10^{-6}[/tex]
Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.
Step-by-step explanation:
Information given
n=165 represent the random sample selected
55 represent the students indicated a belief that such software unfairly targets students
X =165-55= 110 represent students who NOT belief that such software unfairly targets students
[tex]\hat p=\frac{110}{165}=0.667[/tex] estimated proportion of students who NOT belief that such software unfairly targets students
[tex]p_o=0.5[/tex] is the value that we want to check
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to check if the majority of students at the university do not believe that it unfairly targets them, and the system of hypothesis are:
Null hypothesis:[tex]p\leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
The statistic for this case is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
After replace we got:
[tex]z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29[/tex]
The p value for this case is given by:
[tex]p_v =P(z>4.29)=8.93x10^{-6}[/tex]
Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.
Alvin makes pillows for his room he buys 4.5 feet of fabric for 9.60 what is the cost of the fabric per yard?
The cost of the fabric per yard is approximately $6.39.
To find the cost of the fabric per yard, we need to first calculate the cost per foot and then convert it to yards.
Step 1: Calculate the cost per foot of fabric.
[tex]Cost per foot = Total cost / Total feet[/tex]
[tex]Cost per foot = $9.60 / 4.5 feet[/tex]
[tex]Cost per foot = $2.13[/tex]
Step 2: Convert the cost per foot to cost per yard.
Since there are 3 feet in a yard, we can find the cost per yard by multiplying the cost per foot by 3.
[tex]Cost per yard = Cost per foot * 3[/tex]
[tex]Cost per yard ≈ $2.13 * 3[/tex]
[tex]Cost per yard = $6.39[/tex]
Complete correct question:
Alvin makes pillows for his room he buys 4.5 feet of fabric for 9.60 what is the cost of the fabric per yard?
An educational psychologist wants to test whether a new teaching method negatively affects reading comprehension scores. She randomly selects 38 6th grade students that were taught under the new teaching method and finds that their mean score on a standardized reading comprehension test equals 87.8. Scores on the standardized test in the general population of 6th graders are distributed normally with a mean equal to 90.1 and a standard deviation equal to 17.3 . Is there sufficient evidence to conclude that the new teaching method negatively affects reading comprehension scores
Answer:
[tex]z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-0.820)=0.412[/tex]
Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.
Step-by-step explanation:
Information provided
[tex]\bar X=87.8[/tex] represent the sample mean for the scores on the standardized test in the general population of 6th graders
[tex]\sigma=17.3[/tex] represent the population standard deviation
[tex]n=38[/tex] sample size
[tex]\mu_o =90.1[/tex] represent the value that we want to verify
z would represent the statistic
[tex]p_v[/tex] represent the p value for the test
System of hypothesis
We want to verify if the new teaching method negatively affects reading comprehension scores, so then the system of hypothesis for this case are:
Null hypothesis:[tex]\mu =90.1[/tex]
Alternative hypothesis:[tex]\mu \neq 90.1[/tex]
Since we know the population deviation the statistic would be:
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-0.820)=0.412[/tex]
Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 90.1
For the alternative hypothesis,
µ < 90.1
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 90.1
x = 87.8
σ = 17.3
n = 38
z = (87.8 - 90.1)/(17.3/√38) = - 0.82
Looking at the normal distribution table, the probability corresponding to the z score is 0.21
Assume significant level = 0.05
Since alpha, 0.05 < than the p value, 0.21, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, there is not enough evidence to conclude that the new teaching method negatively affects reading comprehension scores.
True or false all quadrilaterals are parallelograms
Answer:
False
Step-by-step explanation:
Trapizoids may have one pair of parallel sides, but parrallelograms must have 2 parallel pairs of sides.
False, all quadrilaterals are not parallelograms.
ParallelogramA four-sided polygon with four edges and four corners is known as a quadrilateral.
A parallelogram is a basic quadrilateral with two parallel sides.
Because the opposite sides of a kite are not always parallel, not every kite is a parallelogram.
False, all quadrilaterals are not parallelograms.
Find out more information about parallelogram here:
https://brainly.com/question/1563728?referrer=searchResults
g Which one of the following statements is INCORRECT about ANOVA test? Group of answer choices An F value is a ratio of between-group mean square to within-group mean square. An ANOVA test is an appropriate test for comparing three or more groups in a continuous variable. The range of the F value is (-[infinity], +[infinity]) A significant ANOVA test result means that means in comparison are not all equal.
Answer:
INCORRECT: The range of the F value is (-[infinity], +[infinity])
Step-by-step explanation:
While it's true that there is no maximum value to an F value, you cannot have a negative F statistic and the lowest value you can have is zero.
The incorrect statement about ANOVA test is that the range of F value is (-∞, ∞).
What is ANOVA test?ANOVA test is abbreviated for Analysis of Variance. This test is used to find whether there is a significant difference between the means of certain number of groups using variance.
Null hypothesis in an ANOVA test is that there is no difference in the mean of groups. Alternate hypothesis of ANOVA test is that at least one of the group has different mean than others.
In ANOVA test, an F value is the ratio of variation between sample means to the variation within sample means. So the first statement which says F value as a ratio of between-group mean square to within-group mean square is correct.
We have ANOVA test is an appropriate test for comparing three or more independent groups in a continuous variable. Second statement is also correct.
The value of F will always be positive. The range of F starts from 0. So the statement that range of F value is (-∞, ∞) is incorrect.
By the definition of ANOVA test itself, we can say that a significant test result in ANOVA means that means are not all equal. So fourth statement is also correct.
Hence the statement range of F value is (-∞, ∞) is incorrect.
Learn more about ANOVA here :
https://brainly.com/question/24157862
#SPJ5
i need the answer for this plsss
Answer:
-3/4
Step-by-step explanation:
(3 - 0)/(1 - 5) =
3/-4 =
-3/4
Answer:
-3/4
Step-by-step explanation:
This question is actually quite easy and can be done through the process of elimination. We are going from x=1 to x=5, so we are going right. We are going from y=3 to y=0, so we are going down. Because we are going down as we move right, the slope must be negative.
The actual equation for slope is:
(y2-y1)/(x2-x1) for (x1, y1), (x2, y2)
One more than one-
fourth the square of a
number x is y
Answer:
y = 1 + ¼x²
Step-by-step explanation:
Given
One more than one-fourth the square of a number x is y
Required
Represent algebraically
We start by analysing the expression one after the other.
First, the two numbers to compare are represented by x and y.
Where y is the resulting number.
So, we start with y =;
Then we move backwards
- "the square of a number, x" can be represented with x²
- one-fourth "the square of a number, x".
The expression in quote has already been represented by x².
So, we can replace this expression with x².
This will give us: one-fourth of x²
One-fourth means ¼
Hence, one-fourth of x² = ¼ * x²
- "One more than" means 1 has to be added to the previous expression to give y.
In other words; 1 + ¼ * x²
Finally, we'll bring the expressions together to give
y = 1 + ¼ * x²
y = 1 + ¼x²
Hence, "One more than one-fourth the square of a number x is y" is represented in algebra by y = 1 + ¼x²
7/10 + 1/6 as a fraction in lowest terms
Answer:
13/15
Step-by-step explanation:
First, you find a common denominator. 10 x 3 and 6 x 5 both equal 30, so 30 can be used as a common denominator. You also have to multiply the numerator by the same number you multiplied in the denominator. Since we did 10 x 3, do 7 x 3, and with the other fraction we did 6 x 5, so do 1 x 5. You should get 21/30 + 5/30. Since they have the same denominator, you can add them. You'll get 26/30, which can still be simplified. 30 divided by 2 is 15, and 26 divided by 2 is 13. The final answer is 13/15.
2x+3y=41 and 5x+4y=85
Answer:
5x+4y=85-
Slope = -2.500/2.000 = -1.250
x-intercept = 85/5 = 17
y-intercept = 85/4 = 21.25000
2x+3y=41-
Slope = -1.333/2.000 = -0.667
x-intercept = 41/2 = 20.50000
y-intercept = 41/3 = 13.66667
What is the equation of this line in slope intercept form (-1, 5) and (1, -3)
Answer: y= -4x + 1
Step-by-step explanation:
(-1,5) (1,-3)
5-(-3)=8
-1-1=-2
8/-2=-4 negative 4 is the slope. Now find the y-intercept using the formula y=mx + b where b is the y intercept.
so we will plot the y and x values plus the slope to find the y-intercept.
5=-4(-1) + b solve for b
5=4 + b
b=1
so now will write the equation y = -4x +1
If Karim has eight male cousins and twelve female cousins,what fraction of his cousins are female?
Regan sold 14 necklace and made a total of $210 if each necklace cost the same amount how much did one necklace cost 20 per necklace
We have been given that Regan sold 14 necklace and made a total of $210. Each necklace cost the same amount. We are asked to find the cost of one necklace.
To find the cost of one necklace, we will divide total cost by total number of necklaces as:
[tex]\text{Cost of one necklace}=\frac{\text{Total cost}}{\text{Total necklaces}}[/tex]
[tex]\text{Cost of one necklace}=\frac{\$210}{14}[/tex]
[tex]\text{Cost of one necklace}=\$15[/tex]
Therefore, the cost of one necklace is $15.
The Internet is affecting us all in many different ways, so there are many reasons for estimating the proportion of adults who use it. Assume that a manager for E-‐Bay wants to determine the current percentage of U.S. adults who now use the Internet. How many adults must be surveyed in order to be 95% confident that the sample percentage is in error by no more than three percentage points? a. b. In 2006, 73% of adults used the Internet. No known possible value of the proportion.
Answer:
a) At least 842 adults must be surveyed.
b) At least 1068 adults must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a) 73% of adults used the Internet.
At least n adults must be surveyed.
n is found when [tex]M = 0.03, \pi = 0.73[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.03}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.73*0.27}}{0.03})^{2}[/tex]
[tex]n = 841.3[/tex]
Rounding up
At least 842 adults must be surveyed.
b. No known possible value of the proportion.
Same as above, the difference as the since we do not know the value of the proportion, we use [tex]\pi = 0.5[/tex], which is when the largest sample size is going to be needed.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.5*0.5}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.5*0.5}}{0.03}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.5*0.5}}{0.03})^{2}[/tex]
[tex]n = 1067.11[/tex]
Rounding up
At least 1068 adults must be surveyed.
To be 95% confident that the sample percentage of U.S. adults who use the Internet is in error by no more than 3 percentage points, a total of 1068 adults must be surveyed.
Explanation:To estimate the current percentage of U.S. adults who use the Internet with a 95 percent confidence level and an error margin of no more than three percentage points, we must determine the sample size we need to survey. We'll follow the formula below for estimating the sample size:
n = (Z² * p(1-p)) / E^2
Where n is the sample size, Z is the z-score associated with our desired confidence level (for a 95% confidence level, Z is about 1.96), p is the estimated proportion of the population (based on the 2006 data, we'll use 0.73), and E is the margin of error (which we want to be 0.03).
Plug in the values:
n = (1.96² * 0.73 * 0.27) / 0.03² = 1067.14
Since we cannot survey a fraction of a person, we round up to the next whole number. Therefore, the manager would need to survey 1068 adults in order to be 95 percent confident that the sample percentage is in error by no more than three percentage points.
Learn more about Sample Size Estimation here:https://brainly.com/question/30885988
#SPJ12
Which phrase is a description of s - 12?
Answer:
12 less than a number s
Step-by-step explanation:
less than means after
What is the prime factorization of 45?
A 23 x 5
32 x 5
52 X 3
52 X 9
Answer:45=3x3x5
Step-by-step explanation:
prime factorization of 45
45 ➗ 3=15
15 ➗ 3=5
5 ➗ 5=1
45=3x3x5
Final answer:
The prime factorization of 45 is found by dividing it into prime numbers, leading to the result of 3² x 5.
Explanation:
The prime factorization of 45 is the process of breaking down the number 45 into a product of prime numbers.
To find the prime factorization, we can start by dividing 45 by the smallest prime number 2, but since 45 is not even, we move to the next prime number, which is 3. We find that 45 is divisible by 3 (45 ÷ 3 = 15).
We continue the process with the quotient. Since 15 is also divisible by 3 (15 ÷ 3 = 5), we divide it by 3 again.
Finally, we are left with the number 5, which is a prime number.
Therefore, the prime factorization of 45 is 3² x 5.
Find the linearization Upper L (x comma y )of the function f (x comma y )at Upper P 0. Then find an upper bound for the magnitude StartAbsoluteValue Upper E EndAbsoluteValue of the error in the approximation f (x comma y )almost equalsUpper L (x comma y )over the rectangle R. f (x comma y )equals3 ln x plus 5 ln y at Upper P 0 (1 comma 1 )R: StartAbsoluteValue x minus 1 EndAbsoluteValue less than or equals 0.4, StartAbsoluteValue y minus 1 EndAbsoluteValue less than or equals 0.3
Answer:
I E I ≤ 0.0522
Step-by-step explanation:
See attached image file
Find the circumference of the circle.
Answer:
C=2πr
Step-by-step explanation:
A game between two equally skilled players is ended before a winner is declared. Player A needs 3 more points to win, and player B needs 2 more points to win. How should the stakes be divided between the two players? Blaise Pascal used the Arithmetical Triangle to solve this problem. In the division of the stakes, what is the ratio of player A's winnings to Player B's winnings?
Answer: player A = 11/16 and player B = 5/16
Step-by-step explanation:
If a coin was to be tossed to determine the winner possible outcomes using arithmetical triangle.
Player A needs 2 points = 11
Player B needs 3 points = 5
Total outcome of tossing a coin = 16
Player A = 11/16 = 0.6875
Player B = 5/16 = 0. 3125
Or
Using the fifth roll of the pascal triangle (2+3) outcome
( 1, 4, 6, 4, 1 )
Addition of the first 3 represent Player A chances of winning = ( 1+ 4 + 6 ) = 11
And the last two = ( 1 + 4 ) = 5 represents the chances of team B winning
Total number of outcome = ( 1 + 4 + 6 + 4 + 1 ) = 16