The probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have been given that a group of 12 dance competition contestants is wearing the numbers 1 through 12.
To determine the probability that the winners will be wearing numbers 2, 4 and 7
Here are favorable outcomes that the contestants wearing numbers 2, 4, and 7
So the number of favorable outcomes = 3
And there is a total number of outcomes = 12
Required probability = 3/12
Required probability = 1/4.
Thus, the probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.
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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:
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
What is the equation and total cost
Solve for x. SHOW YOUR WORK
Answer:
-6
Step-by-step explanation:
Answer:
a) -6
Step-by-step explanation:
The given equation is,
→ (2x + 3)/2 = 3x/4
Let's solve the required value of x,
→ (2x + 3)/2 = 3x/4
→ 4(2x + 3) = 2 × 3x
→ 8x + 12 = 6x
→ 8x - 6x = -12
→ 2x = -12
→ x = -12/2
→ [ x = -6 ]
Hence, the value of x is -6.
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?"
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
What is 943,158,670.3491 rounded to the 100 millions? PLEASE ANSWER ASAP!
Answer: ≈900,000,000
Step-by-step explanation:
[tex]943,158,679.3491\approx900,0000,000[/tex]
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.
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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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:
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
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.
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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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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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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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:
A gift box has a surface area of 6.25 square feet. What is the surface area of the box in square inches?
The surface area of the box in square inches will be 39.0625 inches².
How to calculate the area?From the information, the gift box has a surface area of 6.25 square feet.
Therefore, the surface area of the box in square inches will be:
= Side × Side
= 6.25 × 6.25
= 39.0625 inches²
Therefore, the surface area of the box will be 39.0625 inches².
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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:
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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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)
-8(0.09)(-0.5)
Please I need help, and work shown.
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"
Solve equation.
4 x+7=-1
Answer:
or;4x=-1-7
or;4x=-8
or;x=-8/4
x=-2
Please help due today
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.
It’s geometry question it seams more like English to me but it’s for my geometry class
The conclusion of the statement would be "then I will play outside".
A conditional statement's hypothesis is the first, or "if" element. The second, or "then," half of a conditional statement is the conclusion. A hypothesis leads to the conclusion. The term immediately following the word if in a conditional statement is known as the hypothesis. The phrase immediately following the word then is the conditional statement's conclusion.Conditional statements are ones that begin with a hypothesis and end with a conclusion. It is sometimes referred to as a "If-then" statement.Example: There is a conditional statement. We will not play if it is pouring. Let's say A: it's raining and B: we're not going to play. If A is true, i.e., it is raining, and B is false, i.e., we played, then the statement A implies that B is false.Thus this is the meaning of conditional statement.
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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
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)
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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<1 is the supplement of <2, and m<2 = 110.7°.
Find m<1. (2 points)
Answer:
69.3 degrees
Step-by-step explanation
supplement means 180 degrees so subtract 180-110.7