By using multiplication principle we find the choices available for greg as 1296 different choices.
To find the total number of different choices available, we need to multiply the number of options in each section together, since each choice is independent of the others.
So, the number of different choices available for Greg is:
6 (cakes) x 4 (pies) x 3 (ice creams) x 3 (nuts) x 6 (chips) = 1,296
The method used to find the total number of different choices available is called the multiplication principle, which is a fundamental principle of combinatorics. The multiplication principle states that if there are k ways to do one thing, and m ways to do another thing, then there are k x m ways to do both things together.
In this problem, we applied the multiplication principle to find the total number of different choices available to Greg by multiplying the number of options in each category (cakes, pies, ice creams, nuts, and chips) together. This gives us the total number of possible combinations of choices that Greg can make.
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The coordinates of the point
�
N are
(
0
,
4
)
(0,4) and the coordinates of point
�
O are
(
5
,
4
)
.
(5,4). What is the distance, in units, between the point
�
N and point
�
?
O?
Answer:
Step-by-step explanation:
its is 14
How much would it be $55 for every 15 shirts?
Answer:
$825 it would be thatStep-by-step explanation:
it would be that all you have to do is multiple 55×15=8255×5\(55 \times 15 = 825 \)George buys pizza. He eats 3/8 of pizza for lunch and 1/4 of the pizza for dinner
Answer:
Step-by-step explanation:
To find the amount he ate we just add the fractions:
3/8 +1/2 = 7/8 or 0.875
HOPE THIS HELPS!
HAVE A GR8 DAY ;-)
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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The line perpendicular to y=3/4x+7 containing (3,-4)
Answer:
y = - \(\frac{4}{3}\) x
Step-by-step explanation:
1). \(y_{1}\) = \(m_{1}\) \(x_{1}\) + \(b_{1}\)
\(y_{2}\) = \(m_{2}\) \(x_{2}\) + \(b_{2}\)
\(y_{1}\) ⊥ \(y_{2}\) if \(m_{2}\) = - \(\frac{1}{m_{1} }\)
2). ( \(x_{3}\) , \(y_{3}\) )
y - \(y_{3}\) = m( x - \(x_{3}\) )
~~~~~~~~~~~~~~~~~~
y = \(\frac{3}{4}\) x + 7
\(m_{1}\) = \(\frac{3}{4}\)
\(m_{2}\) = - \(\frac{4}{3}\)
( 3, - 4 )
y - ( - 4) = - \(\frac{4}{3}\) ( x - 3 )
y + 4 = - \(\frac{4}{3}\) x + 4
y = - \(\frac{4}{3}\) x
Given: C is midpoint of BD, BD perpendicular to DE, AB perpendicular to BD.
Prove: triangle ABC is congruent to triangle EDC.
(1.)statement = the given above. (1.)reason=given.
△ABC is congruent to △EDC (△ABC ≅ △EDC) under the SAS congruency condition.
What do we mean by the congruency of triangles?Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.These triangles can be moved, turned, flipped, and rotated to produce the same appearance.When moved, they are parallel to one another.Three important theorems establish the connection between equality and congruence.Two angles are only referred to as being congruent if and only if their measures are equal.Two segments are congruent if and only if there are equal amounts of each in them.Two triangles are said to be congruent if and only if all of the corresponding angles and sides are in agreement.So, △ABC ≅ △EDC:
BC = CD (C is the midpoint of BD: Given)CBA = CDE = 90° (BD ⊥ BA and DE: GIven)AC = CE (Angles in front of them are the same, then lines in front of angles will also be similar)Then, △ABC ≅ △EDC under SAS congruency condition.
Therefore, △ABC is congruent to △EDC (△ABC ≅ △EDC) under the SAS congruency condition.
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IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
Calculate the volume pyramid whose height de Priangular by of a 20cm, and has base of 8cm by 12cm by 150mm
Answer:
see it
Step-by-step explanation:
Nelson did 105 sit-ups in 3 minutes.
What is the unit rate?
Answer:
The answer is 35
Step-by-step explanation:
Please Help!!!
A) Halves
B) fifths
C) thirds
D) sixths
Answer:
FifthsStep-by-step explanation:
There are 5 people. Dividing the 3 bars into fifths makes 15 pieces. When you divide 15 pieces by 5 people, you get 3 pieces for each person.
How could you use the formula for the area of a rectangle to get the formula for the area of a square?
Answer:
Step-by-step explanation:
its the same thing just length x width except with a square the sides are all the same size so you would just square a length
Find the power of 9↑1. Type your answer using digits.
Answer:
9^1 has a power of 1. it evaluates to 9
Step-by-step explanation:
I will give Brainlyist pls help
Answer:
1/72
Step-by-step explanation:
1/9/8/1=1/9x1/8=1/72
The table shows how many children and adults prefer each of two different fruits. How would you find the joint relative frequency of being an adult who prefers watermelon?%0D%0A%0D%0AWatermelon%09Grapes%09Total%0D%0AChild%09132%0985%09217%0D%0AAdult%09111%09117%09228%0D%0ATotal%09243%09202%09445%0D%0A%0D%0AA.%0D%0ADivide 111 by 228.%0D%0A%0D%0AB.%0D%0ADivide 111 by 243.%0D%0A%0D%0AC.%0D%0ADivide 111 by 445.%0D%0A%0D%0AD.%0D%0ADivide 243 by 445.
The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.
Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.
So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.
Hence, the correct answer is:
C. Divide 111 by 445.
Which box plot represents the data set 2, 4,4,8,10,12
Answer:
A.
Step-by-step explanation:
Give the data set: 2, 4, 6, 8, 10, 12.
Find the following:
Min, Q1, Median, Q3, and Max.
Min. = 2
Q1 = 4
Median = (6+8)/2 = 7
Q3 = 10
Max = 12
Check the box plot to see which one represents these values above.
Thus:
The correct box plot would have the whisker to your left at 2, representing the min value.
The Q1 would be at represented by the beginning box the edge of the rectangular box that starts at 4.
The median would be represented by the vertical line that divides the box which would be on 7.
The Q3 would be on the end of the box which is at 10.
The max would be represented by the other whisker that goes to our right, representing 12.
The box plot is that represents this data is the box plot given in option A.
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
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youre in a rush and a single pump at the gas station is too slow. Pump A can fill your tank in 12 min. At what rate would pump B need to fill the tank alone if you must be done in 7 min with both pumps working concurrently.
Answer:
bELOW
Step-by-step explanation:
RATE A = 1 TANK / 12 MIN
RATE B = 1 TANK /? MIN
COMBINED : 1 TANK / (1 TANK/12 MIN + 1 TANK /? MIN) = 7 MIN
1 / ( 1/12 + 1/? ) = 7
1 = 7/12 + 7/?
5 /12 = 7/?
? = 7 * 12/5 = 16.8 MIN
Help me and also show steps thanks will mark brainliest.
during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth
The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.
To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.
The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.
In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.
Using the formula, we have:
P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)
C(5, 2) = 5! / (2! * (5-2)!) = 10
P(2) = 10 * (3/8)^2 * (5/8)^3
P(2) ≈ 0.164 (rounded to three decimal places)
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The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dollars
Answer:
900
Step-by-step explanation:
135/7.5= x/50
cross multiply
7.5x=6750
x=900
Which equation is modeled below?
O 2x+(-2)=-2x+
O 4x+(-2)=-2x+6
O 2x+4 = 6x + 2
O-2x+4=6x+(-2)
Answer:
4x + (-2) = -2x+6
Step-by-step explanation:
im not gonna explain a diagram but it won't let me submit.
combine like terms in the expression 10g+14k-3k-8g-10k-2g
Which graph represents the system of equations –3x + y = 3 and –x + 2y = –4?
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect at (negative 2, negative 3).
On a coordinate plane, 2 lines intersect at (negative 1.5, 1).
On a coordinate plane, 2 lines intersect at (1.5, 2.5).
Answer:
The correct answer is B
Step-by-step explanation:
A cell phone manufacturer samples cell phones from the assembly to test. She noticed that the number of faulty cell phones in a production run is usually small and that the quality of one day’s run seems to have no bearing on the next day.
a) What model might you use to model the number of faulty cell phones produced in one day?
(write a name of this probability model)
An analysts estimates the mean number of defective cell phones to be 2 per day.
b) What is the probability of having a day with no faulty cell phone in a production run?
(write to 3 decimal places)
c) What is the probability of having a day with more then 3 faulty cell phones in a production run?
probability:
Answer:
b
Step-by-step explanation:
probability can't be defined
Which word describes the slope of the line?
O positive
O negative
zero
O undefined
The slope of a horizontal line is always zero.
What is slope?
The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are any two points on the line.
The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.
By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:
slope = change in y / change in x = 0 / (any non-zero value of x) = 0
So, the slope of a horizontal line is always zero.
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The container that holds the water for the football team is 1/5 full. After pouring in 7 gallons of water, it is 7/10 full. How many gallons can the container hold?
Given rhombus ABCD, find the area if mZABC = 60° and AE = 2.
The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;
Area = 8·√3
What is the area of a plane figure?The area of a plane figure is the two dimensional space occupied by the figure on a plane.
The measure of the angle ABC, m∠ABC = 60°
The length of the segment AE = 2 units
The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;
BE = ED, m∠AEB = 90°
m∠ABE = 30°
sin(30°) = AE/AB
sin(30°) = 2/AB
AB = 2/(sin(30°)) = 4
AB = 4
BE = √(4² - 2²) = √(12) = 2·√3
Therefore; AC = 2 + 2 = 4
BD = 2·√3 + 2·√3 = 4·√3
The area of a rhombus = (1/2) × The product of the length of the diagonals
Therefore;
Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3
The area of the rhombus = 8·√3
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Simplify (3^5)^2/3^-2
Answer:
the answer would be 531441
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
En un triatlón, Jenny nadó durante 1 hora, anduvo en bicicleta durante 1,75 horas y corrió durante 1 hora. Su velocidad promedio en bicicleta fue 2 veces su velocidad promedio para correr, y su velocidad promedio para correr fue 8 veces su velocidad promedio para nadar. La distancia total del triatlón fue de 55,5 kilómetros. Escribe una ecuación y resuélvela para encontrar la velocidad de nado promedio de Jenny en kilómetros por hora. Explique su ruta de solución y el razonamiento detrás de su trabajo.
Jenny's Average swimming speed is 1.5 km/h.
Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.
We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.
Thus, the distance she swam is S * 1 = S km.
Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.
Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.
Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.
She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.
The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.
Therefore, we can write the equation:
S + 8S + 28S = 55.5.
Simplifying the equation, we get:
37S = 55.5.
To solve for S, we divide both sides of the equation by 37:
S = 55.5 / 37 = 1.5.
Thus, Jenny's average swimming speed is 1.5 km/h.
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the measure of an angle and its complements are 13x and 17x write an equation then solve
Step-by-step explanation:
Aal kimoya iyah I love 18