The table shows the length of hospital stay for 21 randomly selected adult patients. What is the interquartile range of this data?
To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.
after you do that then say IQ=Q3-Q1
Answer:
8.5
Step-by-step explanation:
To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.
after you do that then say IQ=Q3-Q1
A broker pays his salespeople 25 percent of the commission for listing a property and 40 percent of the
commission for selling it. If the commission rate is 6 percent and a salesperson received $3,265.28 on a
property that he sold, what was the sales price? (Round answer to nearest dollar.)
Answer: The sales price was $83,725
Step-by-step explanation: The commission rate for selling the property has been given as 6 percent of the sales price.
If the salesperson received a total of 3265.28, (which is 25% + 40% = 65% of the commission) then that means he has received the amount calculated as follows;
(3265.28/x) = 65/100
(Where x is the commission earned)
By cross multiplication we now have
(3265.28 x 100)/65 = x
5023.5 = x
Having calculated the commission as $5023.5, we remember that the commission rate is 6%, and hence, to calculate the sales price (which is 100%) we take the following steps;
(5023.5/y) = 6/100
(Where y is the total sales figure)
By cross multiplication we now have
(5023.5 x 100)/6 = y
83725 = y
Therefore, the sales price was, $83,725
To find the sales price of a property based on the commission received, divide the commission earnings by the percentage commission for selling the property, then divide that total by the overall commission rate. Rounding to the nearest dollar, the sales price was $136,053.
Explanation:The subject of this question is Mathematics, specifically pertaining to business and commission calculations. The problem involves determining the sales price of a property based on the commission received by a salesperson.
Understand that a salesperson received $3,265.28, which represents 40% of the commission for selling a property.Calculate the total commission by dividing the salesperson's earnings by the selling commission percentage: $3,265.28 ÷ 0.40 which equals $8,163.20 total commission.Find the sales price of the property by dividing the total commission by the commission rate: $8,163.20 ÷ 0.06.Calculate the sales price: $8,163.20 ÷ 0.06 = $136,053.33.Round the sales price to the nearest dollar, which gives us $136,053.Hence, the sales price of the property was $136,053.
What type of number can be written as a fraction p/q, where p and q are
integers and qis not equal to zero?
Answer:
Rational Numbers.
Step-by-step explanation:
These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.
The radius of a circle is 3 m. Find its area to the nearest tenth
Answer:
28.26
Step-by-step explanation:
3^2*3.14 = 28.26
To find area you square the radius and then multiply by 3.14 or π pi
Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.
To find the area of a circle, we can use the formula:
Area = π (radius)²
Given that the radius is 3 meters, we substitute this value into the formula:
Area = π(3²)
Area = 9π
Since we are asked to round the area to the nearest tenth, we can approximate the value of π as 3.14:
Area ≈ 3.14 x 9
Area ≈ 28.26
Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.
The area of a circle is calculated by multiplying the square of its radius by the mathematical constant π (pi). In this case, with a radius of 3 meters, the area is approximately 28.3 square meters. Rounding the decimal to the nearest tenth gives us the final result of 28.3 square meters.
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How long does it take a runner to run 12km if he is running at a speed of 7km/h
Answer:
about an hour and 42 minutes
Step-by-step explanation:
Time=Distance/Speed
Answer:
1.714285714285714 hours
Step-by-step explanation:
12/7
How many degrees are in the period of y = cos (3x)
Answer:
Step-by-step explanation:
cos(3x)=cos (3x+2π)=cos (3x+360)
period for 3x=360°
period=360/3=120°
Final answer:
The period of the function y = cos(3x) is π/3 or 120 degrees, since the coefficient '3' in the function's argument compresses the usual period of cos(x) by a factor of three.
Explanation:
The period of a trigonometric function represents the length of one complete cycle of the function. For the function y = cos(3x), we are dealing with a cosine function that has been horizontally compressed by a factor of 3. The standard period of the cosine function is 2π radians. However, the presence of the 3 within the argument of the cosine function means that the period is reduced by a factor of 3, because the function completes its cycle 3 times faster than the standard cosine function.
To find the period of the given function, we divide the standard period of the cosine function by the coefficient of the x variable inside the function:
Standard period of cos(x) = 2πPeriod of cos(3x) = ÷ 3Calculated period = 2π / 3Therefore, the period of y = cos(3x) is π/3 or approximately 120 degrees.
I need help guys I don’t understand this
Answer:
3:2 Three boxes next to two boxes.
Step-by-step explanation:
A ratio is like comparing things to others. Like if I had 3 cookies and you had 2 cookies the ratio would be 3:2. Three boxes next to two boxes.
I need help with this I don’t understand this
Answer:
the answer would be A
Step-by-step explanation:
multiply 7 x 6 and that would get you to 42 and if you multiply 42 x 6 that would get you 252 and if you do that with the rest of the numbers you will see that it could work if you multiply them by 6 so basically the constant rate of the numbers would be 6.
Ben is 3 times as old as Daniel and is also 4 years older than Daniel.
Answer:
Ben 3 times older than Daniel
Step-by-step explanation:
Multiply 3 times 4
Which number is a rational number? √25 √32 √50 √63
Answer:
√25
Step-by-step explanation:
√25 is a perfect square and simplifies to 5.
A rational number is any number that can be expressed as a quotient or fraction of two integers, with the denominator not equal to zero. Among the options, √25 is the only rational number as it equals to 5 which can be expressed as a fraction (5/1). The others are not rational as their square roots are not exact whole numbers.
Explanation:The question is asking which number among the given options is a rational number. Rational numbers can be any number that can be expressed as a quotient or fraction p/q of two integers, with the denominator q not equal to zero. In this case, we need to find out which of the square root numbers is rational.
The square of √25 is 25, so √25 equals to 5 which is surely a rational number, because it can be expressed as a fraction 5/1. So, the rational number from the given options is √25.
The square roots of the other numbers are not exact whole numbers and therefore aren't rational numbers. For example, √32, √50, and √63 are approximately 5.66, 7.07, and 7.94 respectively, and these cannot be expressed as exact fractions.
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A triangle has vertices at R(1, 1), S(-2,-4), and T-3, -3). The triangle is transformed according to the rule Ro. 270". What
are the coordinates of S?
(-4,2)
(-2, 4)
(2,4)
(4,-2)
The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)
Transformation of coordinatesTransformation is the process of changing the position of an object in a xy-plane.
Given the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)
The coordinate of S using the rule is (-4, 2)
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The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Transformation of coordinates
Transformation is the process of changing the position of an object in a xy-plane.
Given,
the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)
The coordinate of S using the rule is (-4, 2)
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What is the Vertex? y = 3x ^2 + 12x − 10
Answer: -2,-22
Step-by-step explanation:
Which phrases can be used to represent the inequality 12 minus 3 x greater-than-or-equal-to 9? Select two options.
Twelve less than three times a number is greater than or equal to nine.
Twelve less than three times a number is at least nine.
Twelve less three times a number is at least nine.
Twelve minus the product of three and a number is no more than nine.
Twelve minus the product of three and a number is no smaller than nine.
The phrases that represent the inequality 12 minus 3x greater-than-or-equal-to 9 are 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve minus the product of three and a number is no smaller than nine.'
Explanation:The phrases that can be used to represent the inequality 12 minus 3x greater-than-or-equal-to 9 are:
Twelve less than three times a number is greater than or equal to nine. In this phrase, a number can be any variable or value that satisfies the given inequality.Twelve minus the product of three and a number is no smaller than nine. This phrase represents the same inequality using different wording.Learn more about Inequality here:https://brainly.com/question/40505701
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The phrases 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve less than three times a number is at least nine' correctly represent the inequality 12 minus 3x greater-than-or-equal-to 9.
Explanation:The inequality 12 minus 3x greater-than-or-equal-to 9 can be represented in two ways among the given phrases. The correct phrases are 'Twelve less than three times a number is greater than or equal to nine' and 'Twelve less than three times a number is at least nine'. In both phrases, 'three times a number' represents '3x', 'twelve less than' represents '12 minus', and 'greater than or equal to nine' or 'at least nine' represents 'greater-than-or-equal-to 9'.
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Please help if you can
Thank you!!
Answer:
0.67
Step-by-step explanation:
2/6 is shaded red, and 4/6 is shaded white. 4/6 is simplified to 2/3, 2/3 as a decimal is 0.67.
Which statement describes what these four powers have in common? 4 Superscript 0 (negative 2) Superscript 0 (one-third) Superscript 0 9 Superscript 0 All the powers have a value of 0 because the exponent is zero. All the powers have a value of 1 because the exponent is zero. All the powers have a value of –1 because the exponent is zero. All the powers have a fractional value because the exponent is zero.
Answer:
The answer would be that All the powers have a value if 1 because the exponent is zero.
Step-by-step explanation:
Use the exponent rule to help you
Answer:
it is 1
Step-by-step explanation:
i took this test on brainly
the meaning of logarithm
Answer:
the meaning of logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
: )
A number K increased by 10 is the same as 24 what’s the equation
Final answer:
The equation for finding the value of K when increased by 10 equals 24 is K + 10 = 24, and solving it results in K = 14.
Explanation:
A number K increased by 10" is represented by K+10.
"Is the same as" means equal to.
"24" is represented by 24.
Therefore, we can express this relationship as an equation where the left side represents "a number K increased by 10" and the right side represents "24."
The equation to represent the situation where a number K increased by 10 equals 24 is:
K + 10 = 24
This equation signifies that when the unknown number K is augmented by 10, the resultant value equals 24. It serves as a concise representation of the given condition, enabling the determination of K by solving the equation.
Through such algebraic manipulation, one can discern that the value of K:
K = 24 - 10 = 14
Identify the x- and y-intercepts of the graph
Answer:
see explanation
Step-by-step explanation:
The x- intercept is where the graph crosses the x- axis, that is
( [tex]\frac{1}{3}[/tex], 0 )
The y- intercept is where the graph crosses the y- axis, that is
(0, 1 )
A scenic overlook which extends over a ravine is shaped like a kite.
Find mZX
O a. 104°
Ob.40°
O c. 112°
O d. 208
A quadrilateral is a polygon with 4 number of sides and 4 vertices. The measure of the ∠X is 104°.
What is a quadrilateral?A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
Given a scenic overlook which extends over a ravine is shaped like a kite. Since in a kite the measure of all the angles is 360°, also, the measure of the angle formed by the two non-equal sides is equal. Therefore, the measure of the two angles that will be equal is ∠X and ∠Z.
Further, the sum of the measure of all the angles can be written as,
∠X + ∠Y + ∠Z + ∠W = 360°
∠X + 40° + ∠X + 112° = 360°
2∠X = 360° - 112° - 40°
2∠X = 208°
∠X = 208°/2
∠X = 104°
Hence, the measure of the ∠X is 104°.
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Without additional details it is not possible to solve for the measure of angle Z (mZX) in a kite. Kite properties and given angle measures are typically used to solve for unknown angles.
Explanation:The question asks to find the measure of angle Z (mZX) in a kite. A property of a kite is that it has two pairs of adjacent sides that are equal. Another property is that the diagonals intersect at right angles. Furthermore, kites have one pair of opposite angles that are equal, known as the non-vertex angles.
If the kite diagram was provided with certain angles or relationships between the angles, we could use that information to calculate mZX. Typically, we would use the properties of the kite's angles and sides to form equations and solve for the unknown angle.
Without additional information provided, we cannot definitively solve for mZX. Usually, in the context of a geometry problem like this, one would apply the knowledge of geometric shapes, their properties, and other given information to solve for the unknown angle.
what is the value of x?
(geometry question)
Given:
The interior angles of the triangle are 44°, 3t - 45° and x - 15°
The exterior angle of the triangle is 4t - 29°
We need to determine the value of x.
Value of t:
The value of t can be determined using the exterior angle theorem.
Applying the theorem, we have;
[tex]44+3t - 45=4t-29[/tex]
[tex]3t - 1=4t-29[/tex]
[tex]-t - 1=-29[/tex]
[tex]-t=-28[/tex]
[tex]t=28[/tex]
Thus, the value of t is 28.
Value of x:
The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.
Since, linear pairs add up to 180°, we have;
[tex]4t-29+x-15=180[/tex]
Substituting t = 28, we get;
[tex]4(28)-29+x-15=180[/tex]
[tex]112-29+x-15=180[/tex]
[tex]x+68=180[/tex]
[tex]x=112[/tex]
Thus, the value of x is 112.
help plz
6yd - 2ft 7in
Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two
integers?
-23
-5
9
14
Answer:
23
Step-by-step explanation:
here
9 and 14. are numbers
sum is 9 +14 = 23
Plzzz help thank you!!
Answer:
i think is 240 or it could be 64
What does πr2 in the example represent in the cylinder and the cone?
Answer:
Thats and area of a circular cylinder
Step-by-step explanation:
yeah thats all
2x+8y=4. x=−3y+5. substitution method
Your answer is Y= -3.
Answer:
(x, y) = (14, -3)
Step-by-step explanation:
You are given an expression for x, so it is convenient to use that to substitute for x.
2(-3y +5) +8y = 4
-6y +10 +8y = 4 . . . . . eliminate parentheses
2y = -6 . . . . . . . . . . . . subtract 10, collect terms
y = -3 . . . . . . . . . . . . . divide by 2
x = (-3)(-3) +5 = 14 . . . use the second equation to find x
The solution is (x, y) = (14, -3).
Select statistical or not statistical do you classify each question.
Answer:
statistical, not statistical, not statistical
Step-by-step explanation:
Answer:
1. statical, 2. not statical, 3. not statical
Step-by-step explanation:
Which of the following constructions show the construction of an incircle
Answer:
the answer is B
27,965 is divisible by
A) 2
B) 3
C) 5
D) 8
Answer:
C) 5
Step-by-step explanation:
27,965/5 = 5593
Technically 27,965 can be divisible by any of these numbers but 5 i the only one that equals a whole number.
To make a glass sphere, 3,052.08 cm3 of molten glass is poured into a mold. Using 3.14 for π, Eduardo finds the circumference of the sphere using the steps below.
Which statement about Eduardo’s calculations is true?
Eduardo did not use the correct formula for the circumference.
Eduardo incorrectly used the length of the diameter to find the circumference.
Eduardo incorrectly calculated the radius.
Eduardo did not square the radius correctly in the second formula.
Answer:
Eduardo did not use the correct formula for the circumference.
Step-by-step explanation:
I was on the same question as you and guessed the assignment said this was the correct answer.
A rectangle has a length of x + 9 and a width of x - 1. Which equation below
describes the perimeter, P, of the rectangle in terms of x? *
A: P=4x+16
B: P=2x+8
C: P=x+8
D: P=x^2+8x-9
Answer:
A
Step-by-step explanation:
P = 2 (W+L)
P = 2 (x+9+x-1)
P = 2 (2x+8)
P = 4x+16
The equation P = 4x+16 describes the perimeter, P, of the rectangle in terms of x. The correct answer would be option (A).
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
A rectangle has a length of x + 9 and a width of x - 1.
P = 2 (L + W) ....(i)
Substitute the values of L = x + 9 and W = x-1 in the above equation,
P = 2 (x+9+x-1)
P = 2 (2x+8)
P = 4x+16
Thus, the equation P = 4x+16 describes the perimeter.
Hence, the correct answer would be an option (A).
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