Answer:
The answer is 3 ft
Step-by-step explanation:
3×9=27
Hope it helps :)
Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0.05What does Bob conclude? A)Bob gives up on his research becauser=.05 means there is no relationship of any kind between bedrooms and selling price. B) Bob continues his research because even though there is no linear relationship here, there could be a different relationship.
Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.
Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.
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Use the figure to write the segment addition postulate, write and equation and solve for x.
Pls explain
Answer:
\( x = 3 \)
Step-by-step explanation:
From the figure given, we have points A,B, and C, that are collinear. Therefore, according to the segment addition postulate, \( AB + BC = AC \).
We are given that:
AB = 9x + 7
BC = -5x + 20
AC = 39
An equation that can be used to solve for x would be:
\( (9x + 7) + (-5x + 20) = 39 \)
Solve for x
\( 9x + 7 - 5x + 20 = 39 \)
\( 9x - 5x + 7 + 20 = 39 \)
\( 4x + 27 = 39 \)
Subtract 27 from both sides
\( 4x + 27 -27 = 39 - 27 \)
\( 4x = 12 \)
Divide both sides by 4
\( \frac{4x}{4} = \frac{12}{4} \)
\( x = 3 \)
How much does a 5 lb bag for sugar weigh in grams
Answer:
2267.97 grams
Step-by-step explanation:
i hope this helps!
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 5.3
Step-by-step explanation:
\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)\)
Would someone plz help me out with this
Answer:
$25,500
Step-by-step explanation:
Its an increase of $1,500 each year
(a) how many paths are there from the point (0, 0) to the point (110, 111) in the plane such that each step either consists of going one unit up or one unit to the right? (b) how many paths are there from (0,0) to (210, 211), where each step consists of going one unit up or one unit to the right, and the path has to go through (110, 111)?
(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.
This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).
(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.
First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).
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a factorial anova includes ______ independent variable(s). a. more than one b. only one c. only two d. only three or more
A factorial anova includes only three or more independent variable(s). A factorial ANOVA involves analyzing the effects of two or more independent variables on a dependent variable. Therefore, it requires at least three independent variables to be included in the analysis. The correct answer is d.
Factorial ANOVA is a statistical analysis method used to examine the effects of multiple independent variables on a dependent variable. It involves examining the main effects of each independent variable, as well as the interactions between them.
A factorial ANOVA is typically used when researchers are interested in examining the combined effects of multiple variables on a single outcome. The method can be used in a wide range of fields, from psychology to biology to engineering, and is particularly useful in experimental research designs.
Overall, factorial ANOVA is a powerful tool for analysing complex data and uncovering the underlying relationships between variables. So, the correct answer is D).
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Betty has 42 butterfly stickers, as shown below.
She puts an equal number of stickers on each of 6 pages in her sticker book.
How many stickers does Betty put on each page in her sticker book?
Answer:
7
Step-by-step explanation:
42/6=7
if you use significance level 0.1, what is closest to the probability of a type i error for your test?
When using a significance level of 0.1, the probability of making a Type I error is closely associated with that level. In this case, the probability of committing a Type I error, which means incorrectly rejecting a true null hypothesis, is 10% or 0.1.
When conducting a hypothesis test, the significance level is the probability of rejecting the null hypothesis when it is actually true. In other words, it is the probability of making a type I error.
If the significance level is set at 0.1, this means that the probability of making a type I error is 0.1 or 10%. Therefore, there is a 10% chance of rejecting the null hypothesis when it is actually true.It is important to note that the significance level is usually set prior to conducting the hypothesis test and is based on the researcher's preference for the trade-off between type I and type II errors. A lower significance level will decrease the probability of making a type I error but increase the probability of making a type II error, while a higher significance level will have the opposite effect.In summary, if you use a significance level of 0.1, the closest probability of making a type I error for your test is 0.1 or 10%.Know more about the significance level
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What item attaches to the bowstring to improve accuracy by giving a consistent anchor point each time the bowstring is drawn?
Answer:
The item that attaches to the bowstring to improve accuracy by giving a consistent anchor point each time the bowstring is drawn is called a "release aid" or "bow release".
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a
Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2 such that f'(c) = 0.
Given:
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.
f(x)=x^2−4x+8, [0,4]
when, x = 0
f(x) = x^2 -4x +8
f(0) = y = 0 - 0 + 8 = 8
when, x=4
f(5) = y = 16 - 16+8 =
thus, we have 2 points (0, 8) ; (4, 8)
slope,m = {8-(8)} / {4-0} = 0
hence, we have to calculate all the points,x where 0<x<8 and slope=0
f '(x) = 2x - 4 = 0
or, f '(c) = 2c - 4 = 0
c = 4/2 =2 ( 0<x<4)
hence, the there is only one solution c=2 which satisfies Rolle's theorem.
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The sum of two integers is 75. One of the numbers is three more than the other. What is the larger integer?
Step-by-step explanation:
Assign variables to the integers
Let the larger integer be 'A' and the smaller 'b'
Write Equations based on the Question
Since the sum of the integers is 75, then A + b = 75 (eq
1)
Since the larger number is three times more than the smaller, then A = 3b (eq2)
Combine the Equations and solve for variables
By substituting the value of A in eq1 into eq2
⇒ 3b + b = 75
4b = 75
b = ⁷⁵/₄ = 18.25
By substituting the value of b into eq1
⇒ A = 3(⁷⁵/₄)
A = ²²⁵/₄ = 56.25
∴ the larger integer is 56.25Check our Answer:
A + b = 56.25 + 18.75 = 75
39 is the answer
If $x$ is the larger integer, then the smaller integer is $x-3$. We find the sum and set it equal to 75:$$x+x-3=75\qquad\Rightarrow \qquad 2x=78\qquad\Rightarrow \qquad x=39$$The larger integer is $\boxed{39}$.
please answer! only simplify
Answer:
The answer is option 3.
Step-by-step explanation:
First, you have to get rid of brackets by expanding :
14x + 3(x - 10)
= 14x + 3(x) + 3(-10)
= 14x + 3x - 30
Next, you have to collect like terms :
14x + 3x - 30
= 17x - 30
what is the sample mean years to maturity for corporate bonds and what is the sample standard deviation? mean (to 4 decimals) standard deviation (to 4 decimals) b. develop a 95% confidence interval for the population mean years to maturity. please round the answer to four decimal places. ( , ) years c. what is the sample mean yield on corporate bonds and what is the sample standard deviation? mean (to 4 decimals) standard deviation (to 4 decimals) d. develop a 95% confidence interval for the population mean yield on corporate bonds. please round the answer to four decimal places.
a) The sample mean years to maturity for corporate bonds = 16.9625
and the sample standard deviation = 8.2232
b) A 95% confidence interval for the population mean years to maturity: (14.4141, 19.5112)
c) The sample mean yield on corporate bonds is 4.5405
and the sample standard deviation = 2.3082
d) A 95% confidence interval for the population mean yield on corporate bonds: (3.825, 5.256)
a) The mean of the sample would be,
\(\bar{x}\) = (10.25 + 28 + 23 + 13.25 + 3, 7.5 + 26.5 + 21.25 + 3.25, 19 + 9.25 + 28.75 + 1.75 + 17 + 8.75 + 24 + 24.5 + 18+ 11.75 + 22 + 22.75 + 27.75 + 16.75 + 12 + 16.5 + 23.75 + 25.25 + 25.75 + 22.5 + 1.25 + 19.5 + 12.5 + 27.25 + 19.5 + 17.75 + 11.5+ 3.5 + 20 + 25.25 + 6.75) / 40
\(\bar{x}\) = 678.5 / 40
\(\bar{x}\) = 16.9625
And the sample standard deviation would be,
s = √(67.6203)
s = 8.2232
b)
We know that the formula for the confidence interval is,
CI = \(\bar{x}\) ± (z × s/√n)
Here, n = 40, \(\bar{x}\) = 16.9625, s = 8.2232 and z = 1.9600
Using above formula the 95% confidence interval for the population mean years to maturity would be,
CI = 16.9625 ± (1.9600 × 8.2232/√40)
CI = (16.9625 ± 2.548)
CI = (16.9625 - 2.548, 16.9625 + 2.548)
CI = (14.4141, 19.5112)
c) Consider sample yield on corporate bonds.
The mean would be,
\(\bar{x}\) = 181.62 / 40
\(\bar{x}\) = 4.5405
And the standard deviation would be,
s = √(5.327594)
s = 2.3082
d) Now we construct a 95% confience interval.
Here, n = 40, s = 2.3082, \(\bar{x}\) = 4.4505, and z = 1.9600
Using above formula the 95% confidence interval for the population mean years to maturity would be,
CI = 4.4505 ± (1.9600 × 2.3082/√40)
CI = (4.5405 ± 0.716)
CI = (4.5405 - 0.716, 4.5405 + 0.716)
CI = (3.825, 5.256)
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Find the complete question below.
Describe how you could represent the fraction 4/10 using a model or number line. Dont make the answer huge thank you
Answer:
As a model for representing fractions, the number line differs from other models (e.g., sets, regions) in several important ways. First, a length represents the unit, and the number line model suggests not only iteration of the unit but also simultaneous subdivisions of all iterated units. That is, the number line can be treated as a ruler.
Step-by-step explanation:
You are conducting n one-jlded test of the null hypothesis that the pogulation mean is 532 ys 5 the the altertiative that the population mean la less than 532 . If the sample mean L 529 and the preyalux ts 0.01. which of the following statemente Is true? A) There is a 0.01 probablilty that the population mean is smaller than 529. D) The prohability of abserving a sample mean smaller than 529 when the populatian menn 5532 is 0.01. C) There 15 a 0.01 probability that the populatlon mean is smaller than 532 D) If the significance level 15 0.05,y ou will accept the null hypothesis. E] None orthem
Option (C) can also be eliminated.The correct option is C) There is a 0.01 probability that the population mean is smaller than 532.
When conducting a one-tailed test of the null hypothesis that the population mean is 532 vs. the alternative that the population mean is less than 532, if the sample mean is 529 and the significance level is 0.01, the following statement is true:A) There is a 0.01 probability that the population mean is smaller than 529.The statement is not true since the one-tailed test is conducted to determine whether the population mean is less than the hypothesized value of 532. Hence, options (B), (D), and (E) can be eliminated.If the sample mean is less than the hypothesized value of the population mean, it implies that the probability of observing a sample mean smaller than 529, when the population mean is 532, is less than 0.01. Hence, option (C) can also be eliminated.The correct option is C) There is a 0.01 probability that the population mean is smaller than 532.
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The left side of a logarithmic equation is shown.
log (3 + 2) + log (3 + 3) + log (7 - 2) = ...
When the equation is solved, the potential solutions are r = {5,3,1, 0}. Which solutions must be excluded?
A.-5, - 1,0
B.-5,8
C.-1,8
D.-5,-1
does anyone know a quick method to divide a whole number with a decimal
example
10)5.25
\(d = \frac{d(10 {}^{k + p} - 10 {}^{k}) }{(10 {}^{k + p} - 10 {}^{k})} \)
where
d=is the given decimal k=is the number of terminating digits p=is the number of repeating digitsStep-by-step explanation:
Greetings !
use the above formula to change any decimal into fraction form
Thus, plug in the value and solve
Hope it helps !
2) The school that Imani goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket.
What is the price each of one senior citizen ticket and one student ticket?
The price of each ticket is given as follows:
Senior: $14.Student: $14.How to obtain the prices?The prices for each type of ticket are obtained via a system of equations, for which the variables are given as follows:
Variable x: price of a senior ticket.Variable y: price of a student ticket.On the first day of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252, hence:
12x + 6y = 252
2x + y = 42 (simplifying by 6).
y = 42 - 2x.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket, hence:
6x + y = 98
y = 98 - 6x.
Equaling the two equations, the value of x is obtained as follows:
42 - 2x = 98 - 6x
4x = 56
x = 56/4
x = 14.
Then the value of y is of:
y = 98 - 6(14)
y = 14.
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Eight pairs of data yield r = 0.708 and the regression equation = 55.8 2.79x. also, = 71.125. what is the best predicted value of y for x = 9.9?
The best predicted value of y for x = 9.9 is y = 83.42.
What is linear equation if two variables?Linear equations with two variables are equations with one, zero, or infinitely numerous solutions where every of a two variables has the highest exponential order of 1.
Some key features regarding linear equation if two variables are-
The two-variable linear equation has the conventional form ax + by + c = 0, where x and y are the variables. These solutions might also be expressed in pairs, such as (x, y). A graphical representation of a linear equation system in two variables involves two straight lines that can be intersecting, parallel, or coincident.Now, according to the question;
The given equation is;
y = 55.8 + 2.79x
Calculate the value of y by substituting the value of x = 9.9.
y = 55.8 + 2.79×9.9
y = 83.42
Therefore, the best predicted value of y for x = 9.9 is 83.42.
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The correct question is-
Eight pairs of data yield r = 0.708 and the regression equation y = 55.8 + 2.79x. Also, the mean y-value is 71.125. What is the best predicted value of y for x = 9.9?
Which of the following lines are not used when creating liner perspective
Answer:
curved lines
Step-by-step explanation:
because a linear persctive is a straight line or perspective where in which a curved line isnt
Nick wants to be a writer when he graduates, so he commits to writing 500 words a day to
practice. It typically takes him 30 minutes to write 120 words. You can use a function to
approximate the number of words he still needs to write x minutes into one of his writing
sessions.
The number of words he still need to write in one of his writing sessions would be = 95 minutes.
Who is a graduate?A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.
The number of words committed for a day by Nick = 500 words.
He writes 120 words = 30 mins
The total number of words remaining = 500 - 120 = 380 words.
Therefore the time it will take to finish the remaining 380 words in the day = X mins.
If 30 mins= 120 words
X mins = 380 words.
Make X mins the subject of formula;
X mins = 380× 30/120
X mins = 11,400/120
X mins= 95 minutes.
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-4. A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. If the car
continues to travel at this rate, which equation can be used to determine y, the total
number of miles the car will travel, in x hours?
(2017)
A. y=48x
B. y=x+48
C. 48y = x
D. 48+y=x
Answer:
A. Is the answer
I'm correct right?
i dont understand graphs at all
Answer:
cool?
Step-by-step explanation:
It is impossible to get 10 kings when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is
On solving the provided question, we can say that it has 0% prοbability, making the answer zerο (0).
What is probability?Probability theοry, a subfield of mathematics, gauges the likelihοod of an occurrence or a claim being true. An event's prοbability is a number between 0 and 1, where apprοximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A prοbability is a numerical representation of the likelihood or likelihoοd that a particular event will occur.
In a deck of cards we have 4 kings. οne in each suit.
Tοtal number of cards in a pack 52.
There is οnly 4 king in a deck of cards, 10 kings are nοt possible.
This is impοssible event. Hence it has a probability zero(0).
The prοbability is 0.
Cοnsequently, it has 0% prοbability, making the answer zero (0).
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Complete question:
HELP ME
Ashley is a teacher and takes home 98 papers to grade over the weekend. She can grade at a rate of 11 papers per hour. How many papers would Ashley have remaining to grade after working for 6 hours?
32 papers would Ashley have to remain to grade after working for 6 hours.
What is simplification?
Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
Here, we have
Ashley is a teacher and takes home 98 papers to grade over the weekend.
She can grade at a rate of 11 papers per hour.
We have to calculate how many papers would Ashley has remaining to grade after working for 6 hours.
Based on the given conditions, formulate:: 98 - 11 × 6
Calculate the product or quotient: 98 - 66
Calculate the sum or difference: 32
Hence, 32 papers would Ashley have to remain for a grade after working for 6 hours.
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Assume that in a given year the mean mathematics SAT score was
605
, and the standard deviation was
136
. A sample of
76
scores is chosen. Use the TI-84 Plus calculator.
Part 1 of 5
(a) What is the probability that the sample mean score is less than
589
? Round the answer to at least four decimal places.
The probability that the sample mean score is less than
589
is . Part 2 of 5
(b) What is the probability that the sample mean score is between
575
and
610
? Round the answer to at least four decimal places.
The probability that the sample mean score is between
575
and
610
is . Part 3 of 5
(c) Find the
85
th percentile of the sample mean. Round the answer to at least two decimal places.
The
85
th percentile of the sample mean is . Part 4 of 5
(d) Would it be unusual if the the sample mean were greater than
620
? Round answer to at least four decimal places.
It ▼(Choose one) be unusual if the the sample mean were greater than
620
, since the probability is . Part 5 of 5
(e) Do you think it would be unusual for an individual to get a score greater than
620
? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.
▼(Choose one), because the probability that an individual gets a score greater than
620
is
.
a. The probability that the sample mean score is less than 589 is approximately 0.0455.
b. The probability that the sample mean score is between
575 and 610 is 0.2576.
c. The 85th percentile of the sample mean is 620.65
d. It would be somewhat unusual if the sample mean were greater than 620.
e. It would not be unusual for an individual to get a score greater than 620, since the probability is relatively high (about 54%).
(a) To find the probability that the sample mean score is less than 589, we need to calculate the z-score and then use a normal distribution table or calculator to find the corresponding probability. The z-score is calculated as:
z = (x - μ) / (σ / √n) = (589 - 605) / (136 / √76) = -1.69
Using a normal distribution table or calculator, the probability corresponding to a z-score of -1.69 is 0.0455.
(b) To find the probability that the sample mean score is between 575 and 610, we need to calculate the z-scores for both values and then use a normal distribution table or calculator to find the area between them. The z-scores are:
z1 = (x1 - μ) / (σ / √n) = (575 - 605) / (136 / √76) = -2.21
z2 = (x2- μ) / (σ / √n) = (610 - 605) / (136 / √76) = 0.61
Using a normal distribution table or calculator, the probability corresponding to a z-score of -2.21 is 0.0138, and the probability corresponding to a z-score of 0.61 is 0.2714. Therefore, the probability that the sample mean score is between 575 and 610 is approximately 0.2714 - 0.0138 = 0.2576.
(c) To find the 85th percentile of the sample mean, we need to find the z-score that corresponds to an area of 0.85 to the left of it. Using a normal distribution table or calculator, we can find that the z-score is approximately 1.44. Therefore, the 85th percentile of the sample mean is:
x = μ + z(σ / √n) = 605 + 1.44(136 / √76) ≈ 620.65
(d) To determine whether it would be unusual if the sample mean were greater than 620, we need to find the corresponding probability. The z-score is calculated as:
z = (x - μ) / (σ / √n) = (620 - 605) / (136 / √76) ≈ 1.33
Using a normal distribution table or calculator, the probability corresponding to a z-score of 1.33 is approximately 0.0918. Therefore, it would be somewhat unusual (but not extremely rare) if the sample mean were greater than 620.
(e) To determine whether it would be unusual for an individual to get a score greater than 620, we need to convert the score to a z-score and then find the corresponding probability. Assuming that the variable is normally distributed, the z-score is calculated as:
z = (x - μ) / σ = (620 - 605) / 136 ≈ 0.11
Using a normal distribution table or calculator, the probability corresponding to a z-score of 0.11 is approximately 0.5440. Therefore, it would not be unusual for an individual to get a score greater than 620, since the probability is relatively high (about 54%).
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Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
The median is 3.3Answer:
3.3
Step-by-step explanation:
The first thing you have to do is put them in order from least to greatest.
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
Check off one from the left side and one from the right side until you are left with the one in the middle.
When you do that, you are left with 3.3
if an independent variable's null hypothesis is rejected, it should remain in the model. group of answer choices true false
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
Define independent variable.A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.
Given.
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.
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what is the probability that washing dishes tonight will take me between 15 and 16 minutes? give your answer accurate to two decimal places.
The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.
The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.
Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.
The following formula gives the likelihood that we will discover a value for X between c and d,
\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)
Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.
Then,
\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)
The answer is 14.29%.
The complete question is -
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?
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