Answer:
1 in : 27 yd
Step-by-step explanation:
4 in : 108 yds
108/4=27
so the ratio would be
1 in : 27 yd
which statement is the best interpretation of the correlation coefficient?
The closer the value of r to O the greater the variation around the line of best fit. Different... Are there guidelines to interpreting Pearson's correlation coefficient? Yes, the following guidelines have been proposed: ...
So far this week, Sara has run 3.5 miles. Her goal is to run a total of 8.75 miles. If Sara runs
1.75 miles per day, how many more days must she run to reach her goal? Write and solve
an equation. Check your solution.
Answer: 3 more days
Step-by-step explanation:
8.75mi(has to run)-3.5mi(already ran)=5.25mi(left to run)
5.25mi(left to run)/1.75mi(how many she runs in a day)=3 more days (until she runs 8.75 mi)
Does (2, 4) make the equation y = –6x true?
Answer:
No
Step-by-step explanation:
When \(x=2\), \(y=-6(2)=-12\), not \(4\).
what is the answer to 3x + 7x − 2
Answer:
Step-by-step explanation:
Add like terms. 3x & 7x are like terms
3x +7x - 2 = 10x - 2
Answer:
0.2
Step-by-step explanation:
3x+7x-2
3x+7x-2=0
3x+7x=2
10x=2
x=2/10
x=\(\frac{1}{5}\)
Choose the statement that is FALSE.
A) A 95% confidence interval is wider than a 90% confidence interval
B) When estimating the standard deviation in calculating confidence intervals, make sure you use the t tables.
C) Reducing the variation of a process will increase the width of a given Confidence Interval relative to that process.
D) When sampling for means and thinking about the Central Limit Theorem, the n should always be >30.
The statement that is FALSE is Reducing the variation of a process will increase the width of a given Confidence Interval relative to that process.
As the confidence level increases the width of the confidence interval also increases. A larger confidence level increases the chance that the correct value will be found in the confidence interval, so option A is true
When estimating the standard deviation in calculating confidence intervals, make sure you use the t tables, we need the t table to estimate SD, so option B is true
A larger sample size or lower variability will result in a tighter confidence interval with a smaller margin of error. A smaller sample size or a higher variability will result in a wider confidence interval with a larger margin of error.
So option c is false, the crrect option is C
Therefore, The statement that is FALSE is Reducing the variation of a process will increase the width of a given Confidence Interval relative to that process.
To learn more about confidence level refer here
https://brainly.com/question/15712887
#SPJ4
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor function
y=3x²-9x+20
A. neither a relation nor a function
B. both a relation and a function
C. function only
D. relation only
Answer:
B. both a relation and a function
Step-by-step explanation:
A relation is a set of one or more ordered pairs.
A function is a relation in which each element of the domain is paired with exactly one element of the range.
The vertical line test can be used to determine that the graph of this equation has one y-coordinate for every x-coordinate.
Therefore, it is both a relation and a function.
20 points please help me i need this answer
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
The statements that are TRUE regarding the box plots are:
A, D, and E.
The box plots are given in the image attached below.
The Five-number Summary Displayed by a Box PlotThe values displayed by a box plot for a given data are:
MedianMinimumMaximumFirst QuartileThird QuartileInterquartile range = Third Quartile - First Quartile.
Thus, shelter's A median is 21, shelter B's 18.
Interquartile range for shelter A = 28 - 8 = 20
Interquartile range for shelter B = 28 - 10 = 18
What is a Symmetric Data Set?If a data set is symmetric, a box plot that represents the data set will have the median in the middle of the box, while both whiskers will be about the same on both sides of the box.For example, the data set for shelter B is symmetric.Therefore, the statements that are TRUE regarding the box plots are:
A, D, and E.
Learn more about box plots on:
https://brainly.com/question/14277132
8(12+a) its asking for the distributive property to simplify the expression
Answer:
96+8a
Step-by-step explanation:
8*a=8a
8*12=96
combine them
96+8a
Please help will give a lot of points on this
Answer:
Step-by-step explanation:
x =121.42
Answer:
x = 82.35
Step-by-step explanation:
42/51 = x/100
cross multiply, then you get
42*100 = 51*x
4200/51 = 51x/51
x = 82.35
I think of a number and add one fourth of it to half of it and the result is twelve. What is the number I thought of?
Suppose that the number u were thinking about is x thus :
\( \frac{1}{4} x + \frac{1}{2} x = 12 \\ \)
Multiply both sides by 4
\(4 \times ( \frac{1}{4} x + \frac{1}{2} x) = 4 \times 12 \\ \)
\(x + 2x = 48\)
\(3x = 48\)
Divide both sides by 3
\( \frac{3x}{3} = \frac{48}{3 } \\ \)
\(x = 16\)
find the lower sum for f(x)=x24 on the interval [1,6] using 5 rectangles.
The lower sum for f(x) = x^2 + 4 on the interval [1, 6] using 5 rectangles is 75.
Given the function \(f(x) = x^2 + 4\), we need to find the lower sum for this function on the interval [1, 6] using 5 rectangles.
We can use the formula for the lower sum as follows:
\(Lower Sum = Σ[i=1 to n] f(xi-1) Δx\),
where xi-1 and xi are the left and right endpoints of the ith rectangle, Δx is the width of each rectangle, and n is the number of rectangles.
To find the width of each rectangle, we need to divide the length of the interval by the number of rectangles:
\(Δx = (b - a)/n \\= (6 - 1)/5 \\= 1\)
Next, we can find the left and right endpoints of each rectangle:
For the first rectangle, we have x0 = 1 and x1 = 2.
For the second rectangle, we have x1 = 2 and x2 = 3. For the third rectangle, we have x2 = 3 and x3 = 4.
For the fourth rectangle, we have x3 = 4 and x4 = 5. For the fifth rectangle, we have x4 = 5 and x5 = 6.
Next, we can compute the function values at each left endpoint:
\(f(x0) = f(1)\\\\ = 1^2 + 4\\= 5f(x1) = f(2) \\= 2^2 + 4 \\= 8f(x2) \\= f(3) \\= 3^2 + 4 \\= 13f(x3) \\= f(4) \\= 4^2 + 4 \\= 20f(x4) \\= f(5) = 5^2 + 4 \\= 29\)
Finally, we can substitute these values into the formula for the lower sum:
\(Lower Sum = Σ[i=1 to n] f(xi-1) Δx= [f(x0) + f(x1) + f(x2) + f(x3) + f(x4)] Δx= [5 + 8 + 13 + 20 + 29] (1)\\= 75\)
Therefore, the lower sum for f(x) = x^2 + 4 on the interval [1, 6] using 5 rectangles is 75.
Know more about rectangles here:
https://brainly.com/question/25292087
#SPJ11
A 95% confidence interval for the population mean implies that if samples are drawn repeatedly and confidence intervals for μ are constructed, then 95% of the confidence intervals computed will contain the population mean (true or false)
True.
A 95% confidence interval for the population mean means that if we draw multiple samples from the same population and construct confidence intervals for the mean using each sample, then 95% of those intervals will contain the true population mean. This is because the confidence interval is computed based on the sample mean and the sample's standard deviation, which are random variables that are expected to vary from sample to sample. Therefore, we cannot be 100% certain that the true population mean is within any particular confidence interval, but we can be confident (95% confident, in this case) that most of the intervals we construct will contain the true mean. A 95% confidence interval for the population mean implies that if samples are drawn repeatedly and confidence intervals for μ are constructed, then 95% of the confidence intervals computed will contain the population mean. This means that you can be 95% confident that the true population mean lies within the calculated interval.
Learn more about standard deviation here: brainly.com/question/23907081
#SPJ11
if a regression line is parallel to the horizontal axis of the scattergram, the slope (b) will be
If a regression line is parallel to the horizontal axis of a scattergram, it means that there is no relationship between the two variables being plotted. In this case, the slope (b) of the regression line would be zero.
When we perform a linear regression analysis, we are trying to find the best-fitting line that represents the relationship between the independent variable (x) and the dependent variable (y). The slope (b) of this line represents the rate of change between the two variables. If the regression line is parallel to the horizontal axis, it suggests that there is no change in the dependent variable for any change in the independent variable.
The general equation for a linear regression line is:
y = a + bx
Here, "a" represents the y-intercept (the value of y when x is zero) and "b" represents the slope. When the regression line is parallel to the horizontal axis, it means that the line is perfectly horizontal, and the dependent variable (y) does not change as the independent variable (x) changes.
Mathematically, this can be represented as:
y = a + 0x
y = a
In this equation, the slope (b) is zero because there is no change in the dependent variable (y) for any change in the independent variable (x). The value of y remains constant, resulting in a horizontal line parallel to the x-axis.
To further explain, when the slope (b) is zero, it indicates that there is no linear relationship between the two variables. In a scattergram, the points are spread out randomly and do not follow any specific trend or pattern. Each value of x corresponds to a single value of y, and these values do not exhibit any systematic change as x increases or decreases.
Visually, a regression line that is parallel to the horizontal axis will appear as a flat line, with all points lying on the same y-value. This indicates that the dependent variable does not depend on the independent variable and remains constant across all values of x.
In conclusion, when a regression line is parallel to the horizontal axis in a scattergram, the slope (b) of the line is zero. This indicates that there is no linear relationship between the variables being analyzed, and the dependent variable does not change as the independent variable varies. The absence of a slope suggests that the two variables are not related in a linear fashion, and the scattergram does not exhibit any pattern or trend.
To learn more about regression line click here:
brainly.com/question/12972546
#SPJ11
Maurice is responsible for leasing computers for his office. Last year he leased 12 laptops and this year plans to lease 22 laptops. What is the percentage change in laptop orders? Round to the nearest percent.
The percentage change in laptop orders is 83%
Percentage is a measure of frequency. It the fraction of an amount expressed as a number out of hundred. Percentages are represented with the sign %.
In order to determine the percentage change, the first step is to determine the change in laptop leased.
Change in laptops leased = 22 - 12 = 10 laptops
This means that the number of laptops leased increased by 10
The second step is to express the change laptops leased as a fraction of the laptop leased last year and multiply by 100
10/12 x 100 = 83%
To learn more about percentages, please check: https://brainly.com/question/92258?referrer=searchResults
How do I write two time the quotient of a number and two
Answer:
2(quotient of x) + 2..............
ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.
Answer:
19n+9u=7500 and 4u-n
Step-by-step explanation:
Consider the following.∫∫D x dA, D is enclosed by the lines y = x, y = 0, x = 3Express D as a region of type I.a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}b. D = {(x, y) | 0 < x < y, 0 < y < x}c. D = {(x, y) | 0 ≤ x ≤ y, 0 ≤ y ≤ 3}d. D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x}e. D = {(x, y) | 0 ≤ x ≤ y, 0 ≤ y ≤ x}Express D as a region of type II.a. D = {(x, y) | 0 ≤ y ≤ x, y ≤ x ≤ 3}b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}c. D = {(x, y) | 0 ≤ y ≤ x, 0 ≤ x ≤ y}d. D = {(x, y) | 0 ≤ y ≤ 3, 0 ≤ x ≤ y}e. D = {(x, y) | 0 ≤ y ≤ 3, 0 ≤ x ≤ 3}Evaluate the double integral in two ways.__________
The Value of the double integral is 9/2.
To Evaluate the double integral ∫∫D x dA, we need to express the region D as a type I or type II region, and then integrate over that region.
For D enclosed by the lines y = x, y = 0, x = 3, we can see that the region is a right triangle with vertices at (0,0), (3,0), and (3,3), so it can be expressed as a type I region with:
a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}
or as a type II region with:
b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}
To evaluate the double integral using either of these regions, we can use iterated integrals.
Using a type I region:
∫∫D x dA = ∫0³ ∫y³ x dy dx
= ∫0³ ∫0x x dy dx
= ∫0³ ½x² dx
= 9/2
Using a type II region:
∫∫D x dA = ∫0³ ∫0y y dx dy
= ∫0³ ½y² dy
= 9/2
.
To Learn More About integral
https://brainly.com/question/22008756
#SPJ11
A local little league has a total of 85 players, of whom 20% are left-handed. How many left-handed players are there?
Answer:
68 i think
Step-by-step explanation:
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
1. What is P(AAssume that we have two
events, A and&nbB)?
2. What is P(A | B)?
We are given that P(A) = 0.30 and P(B) = 0.40, which means the probability of A given B (P(A | B)) must also be 0 since P(A ∩ B) = 0. Therefore, P(A ∩ B) = 0 and P(A | B) = 0.
1. P(A ∩ B) = 0 since the events are mutually exclusive.
2. P(A | B) = 0 since P(A ∩ B) = 0.
The two events are mutually exclusive, which means that they cannot occur at the same time. This implies that the probability of both A and B occurring together, P(A ∩ B), must be 0. We are given that P(A) = 0.30 and P(B) = 0.40, which means the probability of A given B (P(A | B)) must also be 0 since P(A ∩ B) = 0. Therefore, P(A ∩ B) = 0 and P(A | B) = 0.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
Help meeeee pleaseee!
Look how many points u get on this.
What is the mean of this data set?
12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18
A 13.50
B 14.00
C 14.75
D 15.75
Answer:
C. 14.75
Step-by-step explanation:
To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:
12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18
Total numbers in the set: 12
All numbers added together: 177
177 / 12 = 14.75
brainliest is always epic :)
Answer:
Step-by-step explanation:
1. First add all the listed numbers which equals to 177
2. Divide 177 by the amount of number given above so there are
12 numbers
So 177÷12= 14.75
Answer is c
Nayara wants to know the percentage of each grade level of students at her school who drive to school. She has 444 grade levels in her school.
Which of the following survey methods will allow Nayara to make a valid conclusion about what percentage of each grade level of students drive to school?
Randomly select 12 students from each grade level and ask whether they drive to school.
(GIVING BRAINLIEST!!!!)
Just answer number 3 and/or 4
Answer:
3) \(1 \frac{2}{4}\) in
4) 3 days
Answer:
3. 2in. the 3 one on the list. 4. it snowed 3 1/4 3x
Step-by-step explanation:
What is the equation of a line that goes through the point(0, 5/6) and has a slope of 1?
Using the point-slope formula in order to obtain the equation of the line.
The formula is,
\(y-y_1=m\left(x-x_1\right)\)Given:
\(\begin{gathered} \lparen x_1,y_1)=\left(0,\frac{5}{6}\right) \\ m=1 \end{gathered}\)Therefore,
\(y-\frac{5}{6}=1\left(x-0\right)\)Simplify
\(\begin{gathered} y-\frac{5}{6}=1\left(x\right) \\ y-\frac{5}{6}=x \\ \therefore y=x+\frac{5}{6} \end{gathered}\)Hence, the equation is
\(y=x+\frac{5}{6}\text{ \lparen OPTION 1\rparen}\)Bonjour !
Please solve My maths problem.
If X = 2y +6, then find the value of x³ - 8y³ - 36xy -216.
Hint - answer is 0
Kindly Show steps
I desperately need help with this question.
Correct person will be appreciated and brainlist will be awarded
Irellevant answer won't be tolerated and will be reported immediately.
Thank you in. advance !
y = 1
Step-by-step explanation:
X = 2y + 6
X³ - 8y³ - 36xy - 216 = 0
(subsitute)
(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0
(concentrate on first part)
(2y + 6)(2y + 6)(2y + 6)
(4y² + 12y + 12y + 36)(2y + 6)
(4y² + 24y + 36)(2y + 6)
8y³ + 24y² + 48y² + 144y + 72y + 216
(back to full equation)
8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0
(factor the last part)
-36(2y + 6)y
y(-72y - 216)
-72y² - 216y
(back to main equation)
8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0
(start to cancel out)
8y³ and -8y³ cancel
72y² + 216y + 216 - 72y² - 216y - 216 = 0
72y² and -72y² cancel
216y + 216 - 216y - 216 = 0
216y and -216y cancel
216 - 216 = 0
those cancel
0y = 0
add 1 to both sides
y = 1.
(I hope this helped)
Plz help me I really need it not to beg and be annoying buts its for a test.The 6th term of some arithmetic sequence is 26, and the 7th term is 30. Find its first term and the common difference. Answer: The 1st term is ; The common difference is .
Answer: The first term is 6; the common difference is 4.
Step-by-step explanation:
the owner of a professional basketball team claims that the mean attendance at games is over 30,000 and therefore the team needs a new arena. determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed
A student who studies the sizes of groups of birds records data for this group of ducks. Which two terms describe the type of data the student records?
Answer:
quantative and continous
Answer:
It is quantitative and discrete
Step-by-step explanation:
quantitative is numbers and discrete is found by counting
Simplify The Expression 12g + 3 - g^2 + 2 g=4
Given:
\(12g+3-g^2+2\)Where, g = 4
To simplify the expression, substitute g for 4 and evaluate.
We have:
\(\begin{gathered} 12g+3-g^2+2 \\ \\ 12(4)+3-4^2+2 \\ \\ 48+3-16+2 \\ \\ 51-16+2 \\ \\ =37 \end{gathered}\)ANSWER:
37
Hi there- kinda confused on this