Answer:
IQR = 13
Step-by-step explanation:
first step is to find the median of the data set.
rearrange the data into ascending order. Then the median is the middle value.
1 , 6 , 7 , 8 , 12 , 19 , 30 ← in ascending order
↑ middle
then median = 8
the interquartile range (IQR) is calculated as
IQR = Q₃ - Q₁ ( Q₃ is the upper quartile and Q₁ the lower quartile )
Q₃ is the middle value of the data to the right of the median
12 , 19 , 30
↑ middle
then Q₃ = 19
Q₁ is the middle value of the data to the left of the median
1 , 6 , 7
↑ middle
then Q₃ = 6
IQR = 19 - 6 = 13
a truck rental company charges $90 plus $20 per hour. identify a function that represents the total charge for renting a truck for a certain number of hours. what is the value of the function for an input of 5, and what does it represent?
The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.
Given,
A truck rental company charges $90 plus $20 per hour.
Here we need to identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.
The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...
c = 90 + 20h
In functional form, this is
c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours
The function value with an input of 5 is ...
c(5) = 90 +20(5)
c(5) = 90 + 100
c(5) = 290
Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.
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Answer:
f(h)=90+20h
$190
Step-by-step explanation:
he altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. what is the area of the triangle, in square units? express your answer in simplest radical form.
The area of the triangle is 6√3 units.
How to the area of the triangle, in square units?given that the altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units.
The hypotenuse of a triangle with angles of 30°, 60°, and 90° is always twice as long as the side opposite the 30° angle, and it is almost three times as long as the side opposite the 60° angle.
so, let the shorter side of triangle is x.
the longer side of triangle is x√3.
the hypotenuse of the triangle is 2x.
now find the value of side of triangle
[tex]x \sqrt{3} = 3 \\ \frac{x \sqrt{3} }{ \sqrt{3} } = \frac{3}{ \sqrt{3} } \\ x = \frac{3 \sqrt{3} }{3} \\ x = \sqrt{3} [/tex]
so, the length of shorter side is √3 units.
now, find the value of hypotenuse of triangle
2x = 2√3
so, the length of hypotenuse of the triangle is 2√3 units.
now, find the base of the triangle
base = a√3 = (2√3) (√3) = 2(3) = 6
base = 6 units.
now, find the area of triangle
formula 1/2 (base)(height)
A = 1/2 (6) (2√3)
A = 6√3
Hence,the area of the triangle is 6√3 units.
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What is 530,642.08 written in word form?
five hundred thirty million, six hundred forty-two and eight hundredths
five million, thirty thousand, six hundred forty-two and eight tenths
five hundred thirty thousand, six hundred forty-two and eight hundredths
five hundred thirty thousand, six hundred forty-two and eight thousandths
Answer:
Step-by-step explanation:
five hundred thirty thousand six hundred forty-two and eight hundredths
Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
3(x-2)=4(x+1)=-22
The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,
⇒ x = 12
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
We have to given the function is,
3 (x - 2) - 4 (x + 1) = -22
Now, We can solve the expression as,
3 (x - 2) - 4 (x + 1) = -22
Use Multiplicative property;
3x - 6 - 4x - 4 = -22
Use addition and subtraction property,
- x - 10 = - 22
Use addition property and Add 22 both sides;
- x - 10 + 22 = - 22 + 22
- x + 12 = 0
Use subtraction property, Subtract 12 both sides;
- x + 12 - 12 = 0 - 12
- x = - 12
Multiply by -1 in both sides,
x = 12
Therefore, The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,
⇒ x = 12
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If 5²ˣ ⁻ ³=1 , then x=
A 0.4
B 0.6
C 1.5
D 1.6
E 2
Answer:
goooodddddd luccckk
the answer is 1.5
What is the equation and total cost
Please help due today
50 pts to whoever solves these correctly
Answer: Q=Er^2/k ==> 1st option
g=4lπ^2/T^2 ==> 4th option
C=AJs^3/(km^2) ==> 2nd option
A=Fl/(Gx) ==> 4th option
w=m/(plh) ==> 1st option
Step-by-step explanation:
1. E=kQ/r^2
E*r^2=r^2 * kQ/r^2
Er^2=kQ
Er^2/k=kQ/k
kQ/k=Er^2/k
Q=Er^2/k
2. l=gT^2/(4π^2)
l*4π^2=gT^2/(4π^2) * 4π^2
4lπ^2=gT^2
4lπ^2/T^2=gT^2/T^2
g=4lπ^2/T^2
3. s^3=kCm^2/(AJ)
AJ*s^3=kCm^2/(AJ) * AJ
AJs^3=kCm^2
AJs^3/(km^2)=kCm^2/(km^2)
C=AJs^3/(km^2)
4. G=Fl/Ax
1/G=Ax/Fl
Fl*1/G=Fl * Ax/Fl
Fl/G=Ax
Fl/(G*x)=Ax/x
A=Fl/(Gx)
5. p=m/(lwh)
1/p=lwh/m
m*1/p=m*lwh/m
m/p=lwh
m/(p*lh)=lwh/(lh)
w=m/(plh)
Which expressions are equal to 8 to the power of 24
For the statement 8 to the power of 24, we get the expression as 2 ⁷².
We are given a statement:
8 to the power of 24
We need to form an expression for the same.
We can write the expression as:
8 ²⁴
This can also be written as:
8 = 2 × 2 × 2
So, we get that:
( 2 ³) ²⁴
Since we know the property of exponents, we will use it here.
We get the result as :
= 2 ⁷²
Therefore, for the statement 8 to the power of 24, we get the expression as 2 ⁷².
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This box is inch long, inch wide, and inch deep. What is the volume of the box?
inch³
My Progress
32
inch,
inch³
3
inch
1 inches
inch
23/10
inch³
Done →
From the given data
The length of the box is 32 inch
The breadth of the box is 3 inch
The deep of the box is 1 inch
We have to find the volume of the box
Formula of volume is
volume = length × breadth × height
volume = 32×3×1
volume = 96 inch³
The volume of the box is 96 inch³.
What is geometry?A field of mathematics known as geometry is described as "concerning the measurement, characteristics, and relationships of points, lines, angles, surfaces, and solids." Geometry is a branch of mathematics that focuses on points, lines, forms, and surfaces.
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Circle the value of the digit 5 in
256 934
The place value of the digit 5 in the given number 256,934 is equal to 50,000.
As given in the question,
Given number : 256,934
Place value of the digit 5 in 256,934
Place value of each digit in the given number :
Place value of 4 = 4
Place value of 3 = 30
Place value of 9= 900
Place value of 6 =6,000
Place value of 5 = 50,000
Place value of 2 = 200,000
Therefore, the place value of the digit 5 in the given number 256,934 is equal to 50,000.
The complete question is :
Circle the place value of the digit 5 in 256,934
A. 5,000 B. 50 C. 50,000 D. 500,000
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A class is making bags of candy for the school. They have 96 red candies, 72 blue candies, and 48 yellow candies What is the greatest number of bags they can make if each bag has the same contents?
Answer:
1 bag with all of them is the greatest bag im joking ofcourse
but
red
96
1. 96 cut
2. 48 cut
3. 32 cut
4. 24
6. 16
8. 12
blue
72
1. 72 cut
2 36 cut
3. 24
4. 18
6. 12
8. 9
yellow
48
1. 48 cut
2. 24
3 16
4. 12
6 8
Step-by-step explanation:
red
4. 24
blue
3. 24
yellow
2. 24
so 24 bags is the greatest number of bags
with
one bag having 4 red candies, 3 blue candies, and 2 yellow candies
Is the va
20 = x + (2x8)-6
Answer:
10
Step-by-step explanation:
20= x+ 16 -6
20= x+ 10
20 - 10= x
x= 10
11. Twenty-four students in Jamal's class are wearing tennis shoes. There are
thirty students in his class. Jamal says that 70% of his class is wearing
tennis shoes. Is Jamal correct? Explain your reasoning.
Answer: Incorrect.
Step-by-step explanation: 24 out of 30 is 80.00%.
Step 1: We make the assumption that 30 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 30.
Step 4: In the same vein, x % = 24 .
Step 5: This gives us a pair of simple equations:
100 % = 30(1).
x % = 24(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 30/24
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 24/30
x = 80 %
Representación gráfica de 2 1/4
La representación pictórica de 2 ¼ es sombrear completamente 2 círculos de 3 y sombrear 1/4 parte del tercer círculo.
Aquí, el pictórico dado es 2 ¼.
El numerador es mayor que el denominador.
Entonces, esta también es una fracción impropia o mixta.
Entonces, primero dividiremos la fracción mixta pictórica como.
Ahora tenemos que sombrear completamente 2 círculos de 3 y sombrear 1/4 de la parte del 3er círculo como se muestra en la figura de abajo.
Para más ayuda, encuentra la representación en la figura.
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Eight college students recorded how many hours they exercised every week. Then they measured their pulse (heartbeats per minute) while they were resting.
-
What relationship does the graph show?
1.) A positive relationship: The more you exercise, the higher your resting pulse.
2.) A negative relationship: The more you exercise, the lower your resting pulse.
3.) There is no relationship: Exercise has no effect on your resting pulse.
Find the coordinates of the missing endpoint if B is the midpoint of AC.
C(5/3,-6), B(8/3, 4)
The coordinates of the missing endpoint are (11 / 3, 14).
How to determine the location of the missing endpoint of a line segment
Herein we find the coordinates of a endpoint and a midpoint of a line segment and the location of missing endpoint can be found by using the midpoint formula, whose definition is shown:
B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y) (1)
If we know that B(x, y) = (8 / 3, 4) and C(x, y) = (5 / 3, - 6), then the location of the missing endpoint is:
(8 / 3, 4) = 0.5 · A(x, y) + 0.5 · (5 / 3, - 6)
(16 / 3, 8) = A(x, y) + (5 / 3, - 6)
A(x, y) = (16 / 3, 8) - (5 / 3, - 6)
A(x, y) = (11 / 3, 14)
The coordinates of the missing endpoint are (11 / 3, 14).
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(simple computation) the formula for computing the discriminant of a quadratic equation ax^2 bx c
discriminant = b * 2 - 4 * a * c the formula for computing the discriminant .
What is quadratic equation?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”quadratic equation ax^2 }+ bx+ c = 0
a = 3 b = 4 c = 5 discriminant = b * 2 - 4 * a * c print("discriminant is", discriminant)
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Please help giving brainliest
Answer:
(d) (-6, 0)
Step-by-step explanation:
Given graphed inequalities and a list of points, you want the point that is a "solution."
AssumptionsWe assume the graphed inequalities are part of a system of two inequalities and that a "solution" is one that must satisfy both of them. Any solution point will be in the doubly-shaded area, or on the solid blue boundary next to that area.
SolutionEach of the given points is 6 units from the origin on one of the coordinate axes. The only such point that lies in the doubly-shaded area is (-6, 0) on the negative x-axis.
The point (-6, 0) is a solution.
__
Additional comment
We know the kinds of inequalities that can give rise to a graph like this, but we don't know the question for which one of these points would be a solution. That is why assumptions are necessary.
The point (0, 6), for example, could be a solution to the question, "what set of values satisfies x-y ≤ 1, but not x+y < 3?"
4. Kari gets $20 every week for lunch money. She sets aside $2
every school day. How many weeks did it take for her to save up
$65?
Answer:
33 days or 5 weeks
Step-by-step explanation:
If JKL is rotated 180 ° clockwise, which describes the location of J’?
(no picture)
If triangle JKL is rotated 180° clockwise, the location of J’ is: B. (6, 7).
The types of transformation.Generally, there are different types of transformation and these include the following:
TranslationDilationReflectionRotationWhat is a rotation?A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
From the graph (see attachment), we have the following data:
Points at J = (-6, -7)Points at K = (-6, -2)Points at L = (-3, -7)In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).
By applying a rotation of 180° clockwise to triangle JKL, the location of J’ is given by:
Points at J = (-6, -7) → Points at J' = (-(-6), -(-7))
Points at J = (-6, -7) → Points at J' = (6, 7).
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Complete Question:
If JKL is rotated 180° clockwise, which describes the location of J'?
A. (-7, 6)
B. (6, 7)
C. (7,-6)
D. (7,6)
What is:
2 + | -5 + 4 |
Answer: 2
Step-by-step explanation: 2 + 1 =3 and 3 - 5 is -2 so -2 + 4 would equal 2
Hope this helps : P
-8(0.09)(-0.5)
Please I need help, and work shown.
Solve equation.
4 x+7=-1
Answer:
or;4x=-1-7
or;4x=-8
or;x=-8/4
x=-2
Is -96.22 an integer?
Answer:
-96.22 is not an integer.
Step-by-step explanation:
An integer is just basically whole numbers, which including no decimals, and fractions.
Note: Some decimals and fractions can be converted to whole numbers, meaning, they are intergers.
On the other hand, -96.22 can not become a whole number, concluded that it is not an interger.
There are 4 triangles and 20 squares. What is the simplest ratio of triangles to total shapes?
Answer:
Step-by-step explanation:
Answer:
1:5
Step-by-step explanation:
To simplify the ratio of 4:20, we find the greatest common divisor of 4 and 20, and then we divide 4 and 20 by the greatest common divisor. And your answer is for every 1 triangle there is 5 squares.
how do i solve this picture #7
Step-by-step explanation:
- 2/3y-3/4=5
-2/3y=5+3/4
-2/3y=(20+ 3) /4
-2/3y=23/4
y=23/4*-3/2
y= -69/8
Select the verb that is in the incorrect tense.
Gabriel once camps with friends in his backyard. they stargazed and located planets and other constellations. Suddenly they saw a shooting star cross the sky, which thrilled the boys!
please help me if u cannn <3 also sorry if the points are ten its just that i only have 21 pointss
Answer:
change "camps" to "camped"
What is the slope of a line perpendicular to the line whose equation is 4x + 10y = -140
Answer:
mperpendicular = 5/2
Step-by-step explanation:
At a student government fundraiser, a notebook costs $5 and a t-shirt costs $11. If the total received for 70 items was $500, how many notebooks were sold"
O 20
O 25
O 45
O 50
Answer:
45
Step-by-step explanation:
t = number of t-shirts
n = number of notebooks
n + t = 70
5n + 11t = 500
n = 70 - t
5(70 - t) + 11t = 500
350 - 5t + 11t = 500
6t = 150
t = 25
n + t = 70
n + 25 = 70
n = 45
Answer: 45
Answer:
45
Step-by-step explanation: