The probability of drawing a star-shaped chip is 5/8.
The theoretical probability of drawing a star-shaped circular chip from the bag is 5/8 or 0.625 or 62.5%. Out of the total of eight circular chips, five are stars, and three are squares.
Therefore, the probability of drawing a star-shaped chip is the ratio of the number of star-shaped chips to the total number of chips in the bag, which is 5/8.
To understand this conceptually, we can think of probability as a fraction where the numerator is the number of favorable outcomes (in this case, drawing a star-shaped chip) and the denominator is the total number of possible outcomes (all the circular chips in the bag).
Thus, the theoretical probability of drawing a star-shaped chip is 5/8 because there are five star-shaped chips out of the total eight circular chips in the bag.
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please help me will mark brainliest!!! Evaluate √-72k where k= -2
Step-by-step explanation:
Given
k = - 2
Now evaluating
√- 72 * - 2
= √ 144
= √ ( 12)²
= 12
Hope it will help you :)❤
The evaluated solution of √-72k for k = -2 is 12.
What is an expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Given expression as :
⇒ √-72k
And k= -2
To Evaluate the expression
Now Substitute the value of k= -2 in the expression
⇒ √- 72 × - 2
⇒ √ 144 [√ 144 = 12]
⇒ 12
Hence, the evaluated solution of √-72k for k = -2 is 12.
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2-1/2x=y what is this in slope intercept form
Answer:
y=-1/2x+2
Step-by-step explanation:
2-1/2x=y
y=2-1/2x
y=-1/2x+2
estimate the square root of 55
how to evaluate cot 3pi/2
Answer:
\(\huge\boxed{\cot\dfrac{3\pi}{2}=0}\)
Step-by-step explanation:
\(\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.\)
Netflix conducted a pricing experiment and by randomly selecting users and give them a 20% discount for their Prime membership. It is observed that these users are 10% more likely than others to join as a new member. What is the demand elasticity? It the current price optimal for Netflix?
The demand elasticity for Netflix's pricing experiment can be calculated using the formula:Demand Elasticity = Percentage change in quantity demanded / Percentage change in price.
Given that the users who received a 20% discount were observed to be 10% more likely to join as new members, we can assume that the percentage change in quantity demanded is 10%. However, we don't have information about the percentage change in price. Without that information, it is not possible to calculate the demand elasticity.
Regarding the optimality of the current price for Netflix, we cannot determine it based solely on the given information. Demand elasticity helps measure the responsiveness of quantity demanded to a change in price, which can guide pricing strategies. If the demand elasticity is elastic (greater than 1), a decrease in price can lead to a proportionally larger increase in quantity demanded.
However, without knowing the specific price, quantity demanded, and elasticity values, it is not possible to determine whether the current price is optimal for Netflix.
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What is the period of y = cos 0?
Answer:
y=1
Step-by-step explanation:
Convert the angle below to decimal form. Round to three decimal places.
Given angle is
\(62^o39^{\prime}12^{\doubleprime}\)We know that
\(\begin{gathered} 1^{^{\prime}}=(\frac{1}{60})^o^{} \\ 1^{\doubleprime}=(\frac{1}{3600})^o \end{gathered}\)Therefore,
\(\begin{gathered} 62^o39^{\prime}12^{\doubleprime}=62^o+39^{\prime}+12^{\doubleprime} \\ =62^o+(\frac{39}{60})^o+(\frac{12}{3600})^o \\ =62^o+0.65^o+0.003^o \\ =62.653^o \end{gathered}\)Hence, the decimal form is 62.653 degrees.
evaluate the indefinite integral. (remember to use absolute values where appropriate. use c for the constant of integration.)24x2 64xx3 4x2 7 dx
The indefinite integral of the given expression is :
8x^3 - 64/x + (4/3)x^3 + 7x + C.
To evaluate the indefinite integral of 24x^2 + 64x/x^3 + 4x^2 + 7 dx, we need to break it down into separate terms and apply the power rule of integration.
1. For the term 24x^2, integrate by adding 1 to the exponent and dividing by the new exponent: ∫ 24x^2 dx = (24/3)x^3 = 8x^3.
2. For the term 64x/x^3, simplify it to 64/x^2 and integrate: ∫ 64/x^2 dx = 64 ∫ x^-2 dx = 64 (-1/x) = -64/x.
3. For the term 4x^2, integrate by adding 1 to the exponent and dividing by the new exponent: ∫ 4x^2 dx = (4/3)x^3.
4. For the term 7, integrate it as a constant: ∫ 7 dx = 7x.
Now, combine all the individual integrals:
∫ (24x^2 + 64x/x^3 + 4x^2 + 7) dx = 8x^3 - 64/x + (4/3)x^3 + 7x + C, where C is the constant of integration.
Therefore, the indefinite integral of the given expression is 8x^3 - 64/x + (4/3)x^3 + 7x + C.
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Mike took a taxi from his home to the airport. The initial fee just to enter the taxi was $6 and then a charge of $3 per mile traveled. The total fee after the taxi arrived at the airport was $24, not including gratuity. How many miles did Mike travel during his trip from his home to the airport.
What we know
The amount start's off at $6
Each mile adds $3
When he arrived it was $24
Tips are not added in the equation
Solving
The best way to do this to be honest would be to add all of it together as this is a pretty quick and easy method you can use and it's easy to check.
6+3+3+3+3+3+3 = 24
Adding these many 3's gives us the answer of 24
Meaning that Mike traveled 6 miles from his home to the airport
Statement
Therefore Mike traveled 6 miles during his trip from his home to the airport.
Write the equation of the trigonometric graph
The equation for the trigonometric graph given above is:
y = 4sin(2x + (π/2))
y = 4 cos 2x
It is to be noted that the domain value of θ is displayed on the horizontal x-axis and the range value is depicted on the vertical y-axis in the graphs of trigonometric functions.
What is the step-by-step solution to the question?Note that
y = A Sin (Bx - C) + D
The vertical shift → D
Horizontal [Phase] shift → C/B
Wavelength [Period] → (2/B) π
Amplitude → | A |
Vertical Shift → 0
Horizontal | Phase | Shift → C/B → [- (π/4)] → (-π/2/2)
Wavelength | Period | → (2/B)π → π → (2/2)π
Amplitude → 4
Hence, working the above further we get:
y = 4sin(2x + (π/2))
y = 4 cos 2x
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Answer(s):
\(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}) \\ y = -4cos\:(2x \pm \pi) \\ y = 4cos\:2x\)
Step-by-step explanation:
\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)
OR
\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 4sin\:2x,\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{4}\:unit\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle \frac{\pi}{4}\:unit,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}).\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-1\frac{1}{4}\pi, 0],\)from there to \(\displaystyle [-\frac{\pi}{4}, 0],\)they are obviously \(\displaystyle \pi\:units\)apart, telling you that the period of the graph is \(\displaystyle \pi.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 0,\)in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Solve the following quadratic equation for all values of xx in simplest form.(Solving Quadratics with Square Roots (Level 1)
(x+10)^2-8=8
AB = 6 and AC=13. Find BC.
Answer:
BC = 7
Step-by-step explanation:
AB + BC = AC
Substitute values for the line segments:
6 + BC = 13
Isolate line segment BC by subtracting both sides by 6:
6 - 6 + BC = 13 - 6
0 + BC = 13 - 6
BC = 7
Check your work:
6 + 7 = 13
13 = 13
Correct!
solve for x and y. please help. will give brainiest
Plz refer the picture
plz mark as brainliest
each of three darts lands in a numbered region of the dart board, scxoring the number of points shown. how many different sums are possible for the three darts?
The number of different sums that are possible for the three darts landing in numbered regions of the dart board depends on the range of scores that can be achieved by each dart. There would be 220 different possible sums for the three darts landing in numbered regions of the dart board.
Let's assume that each dart can score a maximum of N points. To find the number of different sums, we can analyze the possible combinations of scores for the three darts.
One way to approach this is by using the concept of combinations with repetitions. We can think of the three darts as three slots where we can place a score from 0 to N.
For example, if N = 10, the possible scores for each dart would be 0, 1, 2, 3, ..., 10.
To find the number of different sums, we can calculate the number of combinations with repetitions for these scores.
The formula to calculate the number of combinations with repetitions is given by:
C(n + r - 1, r)
where n is the number of scores (N + 1) and r is the number of darts (3).
Using this formula, we can find the number of different sums for any given value of N.
For example, if N = 10, the number of different sums would be:
C(10 + 3 - 1, 3) = C(12, 3) = 220
Therefore, there would be 220 different possible sums for the three darts landing in numbered regions of the dart board.
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Write the slope-intercept form of the equation of the line given the slope -7 and y-intercept is 4.
y = -3x
y = 11
y = 4x - 7
y = -7x + 4
------------------------------------------------------------------------------------------------------
We are given:-
\(\bigstar\)Slope :- -7
\(\bigstar\) y-intercept:- 4
To find:-
\(\bigstar\) the line's equation (in slope intercept form)
Slope intercept form looks like so:-
\(\bigstar\)y=mx+b
where
m -> slope & b -> y-intercept
Plug in the values:-
(instead of m, plug in -7, and instead of b, plug in 4:
\(\bigstar{\boxed{\pmb{y=-7x+4}}\)
-------------------------------------------------------------------------------------
note:-Hope everything's clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
True or false? If you took a true "il then statement and revered the clauses,
the new statement would also be true
O A True
O B. False
the answer to ur question is false
If y varies directly with x and y=-16 when x=8, find y when x=2
Answer:
y=-4
Step-by-step explanation:
The answer is going to be -4 as when y=-16 x=8.
The math club is doing a car wash as a fundraiser. They charge $7 per car and $12 per minivan. The club wants to raise
$600
Which equation in standard form shows how many cars and minivans m they need to wash to meet their goal
Answer:
7x+12y ≤ 600
or7x+12y = 600
Step-by-step explanation:
Lets first call cars x and minivans y. Since they want to raise 600, you can do the sign ≤ and 600
≤ 600
Since it is $7 per car, we can do 7x.
Since it is $12 per minivan, we can do 12y.
Together, they have to add up to 600 or more.
7x+12y ≤ 600
If you provide some options, I might be able to give a better answer. Without options, I can't tell if they want an exact answer or not. So technically, the answer could also be:
7x+12y = 600
Please help!!!
Find the surface area of the prism below. Do not put units in your answer.
Answer:
256.51
Step-by-step explanation:
Find the hypotonuese of the trangle (8^2+ 5^2= c^2) then multiply all of them together then multiply by a 1/2.
Have a good day :)
The radius of a sphere is 6 units.
Which expression represents the volume of the sphere, in cubic units?
Three-fourthsπ(6)2
Four-thirdsπ(6)3
Three-fourthsπ(12)2
Four-thirdsπ(12)3
Answer:
The answer is Three-Fourthst(12)2
Answer:
C. or 3
Step-by-step explanation:
Which relation is a function.
Answer:
its B
Step-by-step explanation:
I just did it
Un concensario de coches rebaja a 16000 un vehiculo que valia 18300 en que porcentaje lo han rebajado?
As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .
The initial price of the car is set at P = 18300 (units)
The price after lowering drom P becomes A= 16000 (units)
Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.
The formula for calculating percentage change is given as follows,
Change in percentage = [(Change in value)/ ( Initial value) ]*100
⇒Change in percentage = (C/ P)*100
⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)
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4. Evaluate the following expression for y= 8 and z= 3. (1 poin
(y-2)2 +2 N.
O 28
012
O2
0-4
could someone please help me...... this is hopeless.....
Answer:
Here, I graphed this especially for you.
Step-by-step explanation:
Check the attachment.
What can you tell me about 1/3 of 30
Answer:
10
Step-by-step explanation:
1/3 of 30 is 10 because 3 times 10 is 30
Answer: i could tell you that it is equaled to 10
Step-by-step explanation:
Mark me as brainliest plus extra pointsThe Microsoft office package used to perform statistical analysis is
a) SPSS
b)Word
c)SAS
d) Excel
The Microsoft Office package used to perform a statistical analysis is Excel. Therefore, the correct answer is option D.
Microsoft Office's Excel is a spreadsheet program that allows users to organize, calculate, and analyze data. It is often used for statistical analysis due to its built-in functions and tools, such as the ability to create charts and graphs, perform calculations, and use formulas.
Microsoft Office itself is a suite of productivity software that includes tools for creating and editing documents, spreadsheets, presentations, and more. The most commonly used applications in Microsoft Office are Word, Excel, PowerPoint, and Outlook. These tools are used by businesses, students, and individuals for a wide range of tasks, from writing reports and creating budgets to designing presentations and managing email.
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you wish to travel from the west-most point s to the east-most point t of a 1-dimensional segment. there are n teleporters on this 1-d segment and each teleporter has two endpoints. whenever you reach one endpoint, it will teleport you to the other endpoint (it may transport you from east to west or west to east, depending on which endpoint you reach). all the endpoints are located strictly between s and t, and none of the endpoint
To travel from s to t in a 1-dimensional segment with n teleporters, start at s, check for teleporters, choose one, and repeat until t. The number of steps depends on teleporter arrangement.
To travel from the west-most point s to the east-most point t of a 1-dimensional segment with n teleporters, you can follow these steps:
1. Start at point s, the west-most point of the segment.
2. Check if there are any teleporters on the segment.
3. If there are teleporters, choose one and move to its endpoint.
4. Repeat step 3 until you reach the east-most point t.
The teleporters on the segment will transport you from one endpoint to the other, allowing you to move in both directions. Make sure that all the endpoints are located strictly between s and t, and none of the endpoints are outside this range.
Note that the number of steps required to reach point t will depend on the specific arrangement of the teleporters and their endpoints on the segment.
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Choose all the solids from the list below. Rectangle Pyramid Cylinder Cone Prism Circle
Answer:
Pyramid, cylinder, cone, prism
Step-by-step explanation:
Answer:
Pyramid, cylinder, cone, prism
Step-by-step explanation:
n a certain wilderness area 1.4 mountain lions are seen each year, on average. what is the probability that in a given year exactly two mountain lions will be seen in this wilderness area? (assume that sightings are independent from each other and that the probability of seeing a mountain lion stays constant.)
Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.
How does probability work?Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. When an event has a probability of 0, it has no possibility of happening, whereas when it has a probability of 1, it is almost certain to happen. When an event has a probability of 0.45 (45%), there are 45 out of 100 chances that it will occur.
Here,
λ=1.2
=> P(X =x) = \(\frac{e^{-\lambda} * \lambda^{x} }{x!}\)
=> P(X=2) = \(\frac{e^{-1.4} * 1.4^{2} }{2!}\)
=> P(X=2) = 0.2466 * 1.96 /2
=>P(X=2) = 0.2417
Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.
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Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning. X=6y-2 x=6y=9
Answer:
X = 6y-2 is the easier substitution for another equation because all you have to do is just plug in the equation into the value of x.