Answer: The probability is 2/5.
Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.
The probability Nerissa will choose a purple bow is \(\frac{2}{5}\).
Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.
She will randomly choose 1 box from the box.
What is Probability?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Now,
Total number of bows = 5 + 1 + 4 =10
Number of purple bow = 4
Probability to choose purple bow = \(\frac{Total number of purple bow}{Total number of bow }\)
= \(\frac{4}{10}\)
=\(\frac{2}{5}\)
So, probability to choose purple bow is 2/5.
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Use substitution to determine which system is represented by the graph.
Answer:
2x + 4y = 28
-2y = x + 28
Step-by-step explanation:
Looking at the graph, we can see that the lines do not intersect. Therefore, they do not have a shared solution. We need to find the system of equations that does not have a solution.
1) Let's try to solve the third system given (counting from the top). To solve with the substitution method, we need to isolate one variable in one of the equations. I chose to isolate y in -2y = x + 28:
\(-2y = x + 28\\y = \frac{-1}{2}x -14\)
2) Now that we've isolated the y in that equation, substitute what y equals in that equation for the y in the other equation. So, substitute \(\frac{-1}{2}x-14\) for y in 2x + 4y = 28 and simplify:
\(2x + 4(\frac{-1}{2}x - 14) = 28\\2x - 2x- 64 = 28\\-64 = 28\)
In a normal situation, the x's would not cancel out, and we would be able to isolate x to get the x-value of the solution. However, in this case, they have, and we ended up with a false statement, as -64 does not equal 28. Whenever this happens, it means the system does not have a solution. Therefore, the third option would represent the system in the graph.
The given graph shows the simultaneous relationship of equations 2x + 4y = 28 and -2y = x + 28. Option C is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
From the graph, the two lines represents the simultaneous relationship,
Where,
The slope of the both lines is,
m = -1/2
And y-intercept of both lines is,
C₁ = 7 and C₂ = - 14
Now,
equations of the lines are,
y = -x/2 + 7 and y = -x/2 - 14
x + 2y = 14 and x + 2y = -28
or
2x + 4y = 28 - - - - - -(1) and -2y = x + 28 - - - - - - -(2)
Now,
From equation 2 substitute y in equation 1
2x + 4[-x - 28]/2= 28
2x - 2x - 56 = 28
-56 = 28
So the lines are parallel and has no solution.
Thus, the given graph shows the simultaneous relationship of equations 2x + 4y = 28 and -2y = x + 28. Option C is correct.
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Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
evaluate in the following expression when x = 4 and y = 5
a certain forest covers 4400 km^2 suppose that each year this area decreases by 7.25% what will the area be after 6 years?
In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.
What forest area shall remain after 6 years?
According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:
n(x) = n' · (1 - r)ˣ
Where:
n' - Initial forest area, in square kilometers.r - Grown rate.x - Time, in years.If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:
n(6) = 4400 · (1 - 0.0725)⁶
n(6) = 2801.149
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14. y = -(x - 2)² + 1 graphed
Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.
How do you draw a graph ?\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)
Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)
Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)
Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .
Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .
The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.
There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.
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Ana uses 58 beads to make a necklace. She plans to sell 36 necklaces at each craft fair she goes to this summer. She plans to go to 4 craft fairs this summer. What is the total number of beads that Ana will use to make the necklaces she plans to sell at the 4 craft fairs?
Answer:
8064Step-by-step explanation:
56 beads for each necklace,36 necklaces at each craft,4 craft fairsTotal number of beads:
56*36*4 = 8064Find the lowest common denominator.
1 1 2
----------- , ------------ , -------------
(x+2)2 (x-2)2 x2-4
The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.
To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).
The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.
Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.
So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.
Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)
Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.
Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.
Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.
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A teacher gave a test with 50 questions each worth same points . Donovan got 39 out 50 questions right .Marci score was 96%. How many questions did Marci answer
Answer:
Marci marks is 44
how am i supposed to prove that theyre collinear
Answer:
They are collinear if they are on the same line
N:2 = 15/5 solve it for n
Step-by-step explanation:
N:2 = 15:5
N\2 = 15\ 5
Now cross multiply,
5N = 30
N = 6
Answer:
n = 6Step-by-step explanation:
N:2 = 15/5 solve it for n
n : 2 = 15 : 5
n = 2 * 15 : 5
n = 30 : 5
n = 6
---------------------
check
6 : 2 = 15 : 5
3 = 3
the answer is good
How many 50ml can be filled from 5L
What numbers are the solutions to this inequality?
q>5^2
Answer: q= 30
Step-by-step explanation:
Solve for q
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
q>25
Interval Notation:
(25,∞)
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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please help meeeeeeee
Answer:
Volume of the cylinder = 602.88 square centimeters
Step-by-step explanation:
Given that:
Radius of cylinder = 4 cm
Height of cylinder = 12 cm
Volume of a cylinder is given by the following formula;
Volume = πr²h
Putting π = 3.14, r = 4 and h = 12 in the formula
Volume = 3.14 * (4)² * 12
Volume = 3.14 * 16 * 12
Volume = 602.88 square centimeters
Hence,
Volume of the cylinder = 602.88 square centimeters
Complete the following sentence
If x is to 6 as 10 is to 15, then x is equal to .
Answer:
x=4
Step-by-step explanation:
x/6 = 10/15
x/6 = 2/3
3x=12
Answer:
x=4
Step-by-step explanation:
To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.
To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.
I hope this helps!
What is the slope of the line y=4x – 6?
A.1/4
B.-6
C.4
D.6
Answer:
C. 4
Step-by-step explanation:
the slope is always the factor of x.
You deposit $5,000.00 in an account earning 8% interest compounded annually. How much will you have in the account in 5 years?
Answer:
Answer:
50313.28
Step-by-step explanation:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
For the formula:
A=P(1+r/n)n⋅t
P=$5000 , r=8% , n=1 and t=30 years
Solution:
A= 5000(1+0.08/1) to the power 1.30
= 5000*1.08 to the power 30
= 5000*10.062657
= 50313.28
What is the slope of this graphed below?
Answer:
1, 2
Step-by-step explanation:
2 more than n is the quotient of n and 6
Answer:
6n+2
Step-by-step explanation:
The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.
Answer:
\(\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\)
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
\(\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}\)
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
\(\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}\)
\(\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\).
ou have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.45 each and daffodil bulbs cost $0.65 each. Your budget allows you to spend $35.00 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy
9514 1404 393
Answer:
20 crocus40 daffodilStep-by-step explanation:
Let d represent the number of daffodil bulbs you buy. Then 60-d is the number of crocus bulbs. The total cost will be ...
0.45(60 -d) +0.65(d) = 35.00
27 +0.20d = 35
0.20d = 8 . . . . . . . . . subtract 27
d = 40 . . . . . . . . . . multiply by 5
60 -40 = 20 . . . . . crocus bulbs
You can buy 20 crocus bulbs and 40 daffodil bulbs for $35.
Need all of these answers please
its ixl please help
What is the probability of landing on an odd number and then landing on a number greater than 7?
Answer:
72%
Step-by-step explanation:
Based on the information in the table, what
was the approximate value of this item in
1980?
Answer:
B) 4,700
Step-by-step explanation:
6000 - 4000 = 2000
2000 in 15 year, find how much for each year
2000/ 15 = 133.3333333
133.3333333 estimated = 133
133 approximately for each year
1975 to 1980 is five years
133 x 5 = 665
4000 + 665 = 4665
4665 rounded the the nearest hundred
4700
A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. One plank is painted white and it starts at the top of the wheel. The wheel is rolled forward through an angle of StartFraction pi Over 3 EndFraction radians. How high from the ground is the white plank after this motion?
Answer:
Step-by-step explanation:
We can start by drawing a diagram of the situation:
markdown
Copy code
*
/ \
/ \
/ \
/ \
_______/_________\_______
4ft 4ft
| |
1ft h ft
We can see that the distance from the center of the wheel to the white plank is also 4 feet (since the radius of the wheel is 4 feet).
Next, we need to find the height of the white plank after the wheel is rolled forward through an angle of π/3 radians.
To do this, we can use trigonometry. Let's call the height of the white plank after the motion "h". We can use the sine function to relate the angle through which the wheel is rolled and the height of the plank:
sin(π/3) = h/4
Simplifying this equation, we get:
h = 4sin(π/3)
h = 4(√3/2)
h = 2√3
Therefore, the height of the white plank after the motion is 2√3 feet from the ground.
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an even number and a number greater than 17? (A number is even if it is divisible by 2. 0 and 00 are considered even as well.)
Answer:
the wording (punctuation) of the question can lead to different interpretations....
I assume that the question was >17 & even which is "5/19",
BUT... it can also be read as two questions
first >17 which is "10/19"
and second an even number which is "9/19"
BUT !!! I think that the question answer is 5/19
Step-by-step explanation:
Even Number = 18/38 = 9/19
greater 17 = 20/38 = 10/19
Even & greater 17 = 10/38 = 5/19
William earned $232.70 at his job when he worked for 13 hours. What did he earn in one hour?
Answer:
232.70/13= 17.90 per hour
Step-by-step explanation:
Answer:3,025.10
Step-by-step explanation:
From the following figure, how can you conclude that lines I and m are parallel?
• Same side interior angles theorem
• Alternate exterior angles theorem
• Alternate interior angles theorem
© Corresponding angles postulate
We can conclude that the lime l and m are parallel, because of alternate exterior angle.
What are parallel lines?
Two lines are said to be parallel when they do not meet at any point in a plane. Lines which do not have a common intersection point and never cross path with each other are parallel to each other. The symbol for showing parallel lines is ‘||’.
We know, alternate exterior angles are defined as When any two parallel lines are intersected by a transversal, they create some pairs of angles with the transversal. Interior angles are created in the space inside the parallel lines whereas alternate exterior angles are created in the space outside the parallel lines.
Hence, we can see that
angle 50 = angle 50
Because they are alternate exterior angle.
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You must follow the order of operations to find the value of a numerical expression. Why?
Answer:
its so good out here whwere you frm