In modified boxplots, a data value is a potential outlier if it is outside the range of Q3 + (1.5)(IQR) or Q1 - (1.5)(IQR). The IQR is the spread of the middle 50% of the data, calculated as Q3 - Q1.
Explanation:In modified boxplots, a data value is a potential outlier if it is above Q3 + (1.5)(IQR) or below Q1 - (1.5)(IQR). The interquartile range (IQR) is crucial in this determination, representing the spread of the middle 50 percent of the data. It is found by subtracting the first quartile (Q1) from the third quartile (Q3). For example, if Q1 is 2 and Q3 is 9, the IQR is 7. Any data value greater than 9 + (1.5)(7) or less than 2 - (1.5)(7) would be considered a potential outlier.
Constructing a box plot involves identifying these five key values: minimum value, first quartile, median, third quartile, and maximum value. The box plot visually represents the data's spread, with whiskers extending to the most extreme values within the acceptable range, and separate marks for potential outliers.
Answer for 6-9 please asap
The height of a triangle is 7 ft more than its base. if the area of the triangle is 30 ft^ what is the lentgh of the base
Théo Has $5 more than Denise and denise has $11 more than Rudy. Together they have $45. How much money does each have?
Rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x)+r(x)/b(x).
Answer:
[tex]x^2+x-1-\frac{6}{x+4}[/tex]
Step-by-step explanation:
Rational expression form : [tex]\frac{a(x)}{b(x)}=q(x)+\frac{r(x)}{b(x)}[/tex]
a(x) = dividend
b(x) = divisor
q(x) = quotient
r(x) = remainder
Given expression : [tex]\frac{x^3+5x^2+3x-10}{x+4}[/tex]
We know that [tex]Dividend = Divisor \times Quotient+Remainder[/tex]
So, [tex]x^3+5x^2+3x-10 =x+4 \times (x^2+x-1)-6[/tex]
Thus a(x) = dividend = [tex]x^3+5x^2+3x-10 [/tex]
b(x) = divisor= [tex]x+4[/tex]
q(x) = quotient=[tex]x^2+x-1[/tex]
r(x) = remainder=-6
Substitute the value in the rational form.
[tex]\frac{x^3+5x^2+3x-10}{x+4}=x^2+x-1-\frac{6}{x+4}[/tex]
Hence the rational expression [tex]\frac{x^3+5x^2+3x-10}{x+4}[/tex] in the form of [tex]q(x)+\frac{r(x)}{b(x)}[/tex] is [tex]x^2+x-1-\frac{6}{x+4}[/tex]
Which graph models the equation 2x + 3y = 6?
Answer: i did the test and i got B and i was right so its B
Step-by-step explanation:
Use the graph of f to estimate the local maximum and local minimum. (explain)
Answer:
The graph has local maximum at (0,0) and minimum at (-2,-4) and (2,-4).
Step-by-step explanation:
Consider the provided graph.
it is not always possible to find maximum or minimum for the whole function, but locally it is.
To find the local maximum and minimum we need to choose an interval first.
Local maximum: f(c) ≥ f(x) for all x in the interval
Local minimum: f(c) ≤ f(x) for all x in the interval
For better understanding refer the figure 1
Now consider the provided graph:
The graph of the function at (-2,-4) and (2,-4) shows the minimum value that is -4.
Because at x = -2 and 2 the value of function f(x)≥f(c) for every x in the domain.
Also the graph of the function has local maximum at (0,0) as at x = 0
The value of function f(x)≤f(c) for every x in the domain.
Hence, the graph has local maximum at (0,0) and minimum at (-2,-4) and (2,-4).
Help please!!! Q: A manufacturing company finds that 0.0019 of the light bulbs it makes are defective. Write this as a percent.
1. In ΔPQR, PQ = PR and M is the midpoint of QR . Prove that PM bisects ∠QPR.
ANSWER FORMAT: ΔPQM = Δ (?) because... (reason)
2. In ΔABC, m∠B = m∠C. The angle bisector of ∠B meets
AC
at point H and the angle bisector of ∠C meets
AB
at point K. Prove that BH = CK.
ANSWER FORMAT: ΔBCK = Δ (?) because... (reason)
3. In ∆ABC the median
AM
is extended to ray
AM
and point P on
AM
is taken so that
PM = AM. What is the distance from point P to vertices C and B if AB = c and AC = b?
Given: x - 5 > -2.
Choose the solution set.
{x | x R, x > -7}
{x | x R, x > -3}
{x | x R, x > 3}
{x | x R, x > 7
x-5>-2
x> -5+2
X>3
Answer is: {x | x R, x > 3}
number we give to rate how strongly two variables are related to one another
I believe that the correct word here is correlation. Correlation is the term that we use when we want to say that something is strong related to the other. Correlation must be however differentiated from causality. Correlation is when two things occur at the same time. Causality is when one results in the occurrence of the other.
Correlation coefficient has a maximum value of 1 which indicates strong relationship.
You forget the last two digits of your password for a website. What is the probability that you randomly choose the correct digits?
Determine the ordered pair that lies on the unit circle corresponding to startfraction 5 pi over 4 endfraction .
21: stan bought a monster truck for $2,000 down and payments of $450 a month for five years. what's the total cost of the monster truck?
Answer:
The total cost of the monster truck = 29000 $
Step-by-step explanation:
Stan bought a monster truck for $2,000 down and payments of $450 a month for five years.
Initial payment = 2000 $
Monthly payment = 450 $
Number of years paid = 5
Number of months in 5 years = 12 x 5 = 60
Total amount paid = 2000 + 60 x 450 = 29000 $
The total cost of the monster truck = 29000 $
To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.
At approximately what angle does the wire meet the ground?
the scatter plot shows how many desks and computers were found in 12 different offices
how many offices had 11 computers
1
2
3
4
Answer:
It's three. Look at 11 on the Y axis (computers) and count how many dots are at 11. There's a total of three computers based on the dots at 11.
Step-by-step explanation:
A scatter plot is a set of points plotted on horizontal and vertical axes.
It shows the relationship between two sets of data.
The number of offices that have 11 computers is 3.
What is a scattered plot?A scatter plot is a set of points plotted on horizontal and vertical axes.
It shows the relationship between two sets of data.
We have,
Horizontal axes = number of desks
Vertical axes = number of computers
Each dot in the scatter plot indicates offices.
Number of offices = 12 dots = 12
We need to find the number of dots that is with 11 computers.
We see that there are 3 dots with 11 computes so there are 3 offices that have 11 computers.
Thus the number of offices that have 11 computers is 3.
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Solve for x.
5(x - 3) + 4(x + 3) = 3(x - 1)
x = 0
x = 1/4
x = 1/2
x = 1
What is the greatest common factor of 125,50 and 275
Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form.
The equation of the line that passes through the point (-1,5) and has a slope of 3 in point-slope form is y = 3x + 8.
Explanation:The subject of this question relates to Mathematics, specifically algebra and line equations. The line equation in point-slope form is given by y - y1 = m(x - x1). In this equation, (x1, y1) represents the point that the line passes through and m represents the slope of the line. In our case, we know that the line passes through the point (-1,5) and has a slope of 3.
By substituting these values into the point-slope formula, we get the following:y - 5 = 3(x - (-1)), or, after simplifying, y - 5 = 3x + 3. So, the equation of the line that passes through (-1,5) and has a slope of 3 is y = 3x + 8.
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Find the equation of the line that is parallel to the given line and passes through the given point y= -x +5; (2,7)
How much in Federal taxes does Curtis annually pay?
he pays 29.59 a week
multiply that by 52 weeks in a year
29.59 * 52 = 1538.68 a year
Answer is A
Find the distance from point A(−1, 7) to the line y= 3x. Round your answer to the nearest tenth.
I assume that we want to find the minimum distance between the point A(-1, 7) and the line y = 3x.
We will get that the distance is 3.22
So first, let's see how to get the distance between two points (x₁, y₁) and (x₂, y₂). We just use the general formula:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Now we want to find the distance between (-1, 7) and a point on the line y = 3*x, that can be written as (x, 3x)
That distance is:
[tex]d = \sqrt{(-1 - x)^2 + (7 - 3x)^2}[/tex]
Now we want to minimize this, which is equivalent to minimize d^2, then we can define:
D = d^2
and write:
[tex]D = (-1 - x)^2 + (7 - 3x)^2\\\\D = 1 - 2x + x^2 + 49 - 42x + 9x^2\\\\D = 10x^2 - 44x + 50[/tex]
Now we need to minimize this, which is a parabola, so the minimum will be at the vertex of the parabola (we know this because the leading coefficient is positive, thus the parabola opens upwards).
Remember that for a parabola like:
a*x^2 + b*x + c
The vertex is at:
x = -b/2a
Then for our parabola, the vertex will be at:
x = -(-44)/(2*10) = 44/20 = 2.2
Thus the minimum distance is given by:
[tex]d = \sqrt{(-1 - 2.2)^2 + (7 - 3*2.2)^2} = 3.22[/tex]
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Tiana's checking account charges a $7.75 monthly service fee and a $0.16 per-check fee. If Tiana writes 17 checks per month, should she switch to a checking account that charges a $10.50 monthly service fee and no per-check fee? A. No, because her monthly fees are currently greater than $10.50. B. No, because her monthly fees are currently less than $10.50. C. Yes, because her monthly fees are currently less than $10.50. D. Yes, because her monthly fees are currently greater than $10.50.
the answer to this question is B
Answer:
Option B. is correct.
Step-by-step explanation:
Tiana's checking account charges a $7.75 monthly service fee and $0.16 per check fee.
If Tiana writes 17 checks per month, her total charges =
0.16 × 17 = 2.72 + 7.75 = $10.47
Her total account charges $10.47 for 17 checks.
In the question it is asking that she should switch to a checking account that charges a $10.50 monthly service fee and no per check fee.
Answer : No, because her monthly fees are currently less than $10.50.
Rewrite and simplify ln(4500) in terms of ln5 and ln6
Simplified form of the given logarithmic expression ln(4500) will be ln(4500) = 3ln(5) + 2ln(6)
Given logarithmic expression in the question is,
ln(4500)We have to convert this expression in terms of ln(5) and ln(6).
Since, Factored form of 4500 = 5×5×5×6×6
= 5³×6²
Therefore, ln(4500) = ln(5³×6²)
= ln(5³) + ln(6²) [Since, ln(a × b) = ln(a) + ln(b)]
= 3ln(5) + 2ln(6) [Since, ln(a³) = 3ln(a)]
Hence, ln(4500) = 3ln(5) + 2ln(6) will be the answer.
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Luis ate three of the eight pizza slices. he paid $2.70 as his share of the cost. how much did the whole pizza cost?
Find the combined volume of the two rectangular prisms.
A.1,800
B.1,926
C.2,016
D.2,176
the top of a certain mountain in California has an altitude of 14,721 ft above sea level. The bottom Death Valley is 282 ft below sea level. using 0 as sea level, find the difference between these two elevations. what is the difference between these two elevations?
hey i need help solving these and not just the answer i really would like to know how
For a normal distribution, the z value for an x value that is to the right of the mean is always:
In a normal distribution, the Z value for an X value that is to the right of the mean is always positive. It indicates how many standard deviations X is larger than the mean. Conversely, Z values are negative for X values to the left of the mean because they are smaller than the mean.
Explanation:In a normal distribution, the Z value corresponds to the number of standard deviations a value X is from the mean. Specifically, for an X value that is to the right of the mean, the Z score will always be positive. This is because values to the right of the mean are larger than the mean.
For example, if X = 10 and the mean is 5, and this corresponds to a Z score of 2.5, it means that X is 2.5 standard deviations to the right of the mean. In other words, X is larger than the mean by 2.5 times the standard deviation. The actual Z score, such as 2.5 in this example, indicates how far the score is from the mean, with greater Z scores indicating values further to the right of the mean.
In contrast, X values to the left of the mean have negative Z scores, indicating they are smaller than the mean. Finally, if X equals the mean, then X has a Z score of zero. This basic understanding of Z scores and their relation to the mean in a normal distribution is crucial in many statistical analyses.
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In the diagram ABC = WRS. What is the perimeter of WRS?
A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. How soon did the second train overtake the firstIf 50x represents the distance the slower train travels, then the faster train travels?
For two trains with speeds given as 50 mph and 55 mph and a 30-minute head start for the first, the second train overtakes the first after 5 hours, based on their relative speed.
Here's how to solve a similar problem based on the given examples:
Let the first train's speed be 50 mph and the second train's speed be 55 mph.
The first train has a 30-minute head start, which at 50 mph means it has traveled 25 miles before the second train departs (since 50 miles/hour * 0.5 hours = 25 miles).
The second train travels 5 mph faster than the first, so the relative speed is 55 mph - 50 mph = 5 mph.
Now calculate the time it takes for the second train to catch up by dividing the head start distance by the relative speed: Time = Distance / Relative Speed, which is Time = 25 miles / 5 mph = 5 hours.
So, the second train will overtake the first train after 5 hours.