We have an event where it is a spiner with 5 equal sides numbered from 1 to 5., since it is indicated that they are equal, we know that they all have the same conditions in everything that is, they have the same probabilities to come out.
i.e. the odds of each section coming out are about:
\(\begin{gathered} 1=\frac{1}{5}=0.2 \\ 2=\frac{1}{5}=0.2 \\ 3=\frac{1}{5}=0.2 \\ 4=\frac{1}{5}=0.2 \\ 5=\frac{1}{5}=0.2 \end{gathered}\)Since we are asked for the probability of a 1 or a 4 the probabilities of both events are added together:
With respect to experimental probability and theoretical probability, these are two aspects of probability, differentiated by the method of calculating the probability of an event. In experimental probability, the success and failure of the event in question are measured in a selected sample and then the probability is calculated. In theoretical probability, a mathematical model is used to determine the behavioral responses to an event within the considered sample or population.
Assuming this is a one time event, this is a theoretical probability, since we are basing this on the mathematical model developed in probability theory.
In conclusion, the answer is a probability of 0.4 with a probability theory.
I dont know if im right or wrong here
Answer:
Sadly, you are wrong. The right answer is the 3rd one.
Step-by-step explanation:
Basically, a constant term basically means a term that contains only a number, and all the other ones have a variable other than 8, which means it has to be 8. Second, the exponent of the 3rd term, which is 3y, is 1 since the exponent is what you would call the small number at the top right of a number (I guess?). Basically, if there is no exponent, the exponent is 1.
The water bill was $120. It went up 5%. Use two different expressions to find the amount of the new water bill. You may use a calculator.
The new water bill after 5% increase is $126.
Define PercentageThe ratio that may be stated as a fraction of 100 is called as a percentage in mathematics. To compute a percentage of a number, divide it by its whole and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
First Expression:Given bill of water =$120
Increment in percentage=5%
New water bill= 120+120×5/100
=$126
Hence, The new water bill after 5% increase is $126.
2nd Expression% increase = Increase in bill ÷ Old bill × 100.
5%=Increase in bill/120×100
Increase=5×120/100
=6
New bill=Old bill+ increase=120+6=126
hence, the new water bill after 5% increase is $126.
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what is -7 + 3x = 8 - 2x
Answer: x = 3
Step-by-step explanation: -7 + 9 = 8 - 6
Which number(s) below belong to the solution set of the equation? Check all
that apply
X+ 10 - 50
Answer:
40 is the answer
Step-by-step explanation:
x+10-50
x+40
The sum of two odd integers is an even integer.
1. True
2. False
Answer:
True.
Step-by-step explanation:
Try out some numbers:
3 + 3 = 6
5 + 5 = 10
11 + 11 = 22
Find the sum and express it in simplest form.
(-7n² - 8n - 8) + (-n² + 9n + 9)
008
Clear all
Enter the correct answer.
+ BO
DONE
The simplest form of the given expression is (- 8n² +n +1)
What is simplification?Simplification is the process of making simple an expression, terms or equations so as to easy for solving or evaluating.
There are some steps for simplification such as removing parenthesis, collecting like terms, addition or subtraction of like terms and so on.
How to find the sum and express in simplest form?We are given an expression, ( -7n² - 8n -8) + (- n² + 9n +9)
In order to simplify, we first remove the parenthesis and get
- 7n² - 8n -8 - n² + 9n +9
in the next we will collect like terms
- 7n² - n² -8n +9n - 8 +9
We now add or subtract like terms
- 8n² + n+1
this is the simplest form of the given expression.
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Need help with statistics question please.
25. Filling Bottles A certain brand of apple juice is supposed to have 64 ounces of juice. Because the punishment for under filling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over- or under filling. She randomly samples 22 bottles of juice and measures the content and obtains the following data:
64.05 64.05 64.03 63.97 63.95 64.02 64.01 63.99 64.00 64.01 64.06 63.94 63.98 64.05 63.95 64.01 64.08 64.01 63.9 63.97 64.10 63.98
(a) Because the sample size is small, she must verify that the amount of juice is normally distributed and the sample does not contain any outliers. The normal probability plot and box plot are shown. Are the conditions for testing the hypothesis satisfied?
(b) Should the assembly line be shut down so that the machine can be re calibrated? Assume =0.06 ounces and use a 0.01 level of significance.
(c) Explain why a level of significance = 0.01 of might be more reasonable than 0.1 [Hint: Consider the consequences of incorrectly rejecting the null hypothesis.]
Answer: Hmm this question was very hard.
Step-by-step explanation:
Amplitude is ______.
the maximum displacement of a function on a graph
the minimum displacement of a function on a graph
Amplitude is the maximum displacement of a function on a graph.
What is amplitude?
Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.
It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.
But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.
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If 5x+8=10 for some value of x then what is the value of 10x+16 for some value of x?
Answer: x= 2/5, 20
Step-by-step explanation:
5x+8=10
1. subtract 8 on both sides
5x = 2
2. divide 5 on both sides
x = 2/5
10x+16
x = 2/5
1. substiuite x for 2/5
10 times 2/5 +16
4 + 16
= 20
Verify the identity. (Simplify at each step.)
6 cos(x + y)cos(x − y) = 6 cos^2(x) − 6 sin^2(y)
We have verified the given identity: 6 cos(x + y)cos(x − y) = 6 cos^2(x) − 6 sin^2(y).
To verify the given identity, let's simplify the expression step by step:
Starting with the left side of the equation:
6 cos(x + y)cos(x − y)
Using the cosine of the sum and difference of angles formula:
6 [cos(x)cos(y) − sin(x)sin(y)][cos(x)cos(y) + sin(x)sin(y)]
Expanding the expression:
6 [cos(x)^2cos(y)^2 − sin(x)^2sin(y)^2]
Using the trigonometric identity cos^2(x) = 1 - sin^2(x):
6 [(1 - sin^2(x))(1 - sin^2(y)) − sin^2(x)sin^2(y)]
Expanding further:
6 [1 - sin^2(x) - sin^2(y) + sin^2(x)sin^2(y) - sin^2(x)sin^2(y)]
Combining like terms:
6 [1 - sin^2(x) - sin^2(y) + 2sin^2(x)sin^2(y)]
Now, let's simplify the right side of the equation:
6 cos^2(x) - 6 sin^2(y)
Using the trigonometric identity cos^2(x) = 1 - sin^2(x):
6 (1 - sin^2(x)) - 6 sin^2(y)
Simplifying further:
6 - 6 sin^2(x) - 6 sin^2(y)
Comparing the simplified expressions on both sides, we can see that they are equal:
6 [1 - sin^2(x) - sin^2(y) + 2sin^2(x)sin^2(y)] = 6 - 6 sin^2(x) - 6 sin^2(y)
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The figure to the right shows the distance-time graph for a muscle car accelerating from a standstill. Use the information in the figure to answer parts (a) and (b). The table below lists the coordinates of the points.
The acceleration of the car is 8 m/s^2.
The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.
Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.
(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m
(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2
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Find the missing length indicated
9514 1404 393
Answer:
D) 1
Step-by-step explanation:
The angle bisector divides the sides proportionally.
left side / (sum of sides) = left segment / (sum of segments)
2 / (2+4) = ? / 3
? = 3(2/6) = 1
The missing length is 1.
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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On the map, the school and the sports park are 12 centimeters apart.
What is the actual distance between the school and the park?
Answer:
15 kmStep-by-step explanation:
On the map, the school and the sports park are 12 centimeters apart.
scale 4cm : 5km
find;
What is the actual distance between the school and the park?
solution:
12 cm = 4 cm
X km 5 km
cross multiply:
4 cm X km = 12 cm (5 km)
X = 12 cm (5 km)
4 cm
X = 15 km
therefore, the distance between the school and the sports park is 15 km
Find the product.
y4 · y6
The answer is \(y^{4+6}\) = \(y^{10}\)
Please help me please help no links
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
cy-5=-3d+6y for y. Only on solution
Answer:
This is the answer for your question. I hope it helps you!!!! Pls Mark as the brainliest answer!!!
Step-by-step explanation:
Simplifying
Cy + -5 = -3d + 6y
Reorder the terms:
-5 + yC = -3d + 6y
Solving
-5 + yC = -3d + 6y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
-5 + -6y + yC = -3d + 6y + -6y
Combine like terms: 6y + -6y = 0
-5 + -6y + yC = -3d + 0
-5 + -6y + yC = -3d
Add '5' to each side of the equation.
-5 + -6y + 5 + yC = 5 + -3d
Reorder the terms:
-5 + 5 + -6y + yC = 5 + -3d
Combine like terms: -5 + 5 = 0
0 + -6y + yC = 5 + -3d
-6y + yC = 5 + -3d
Reorder the terms:
-5 + 3d + -6y + yC = 5 + -3d + -5 + 3d
Reorder the terms:
-5 + 3d + -6y + yC = 5 + -5 + -3d + 3d
Combine like terms: 5 + -5 = 0
-5 + 3d + -6y + yC = 0 + -3d + 3d
-5 + 3d + -6y + yC = -3d + 3d
Combine like terms: -3d + 3d = 0
-5 + 3d + -6y + yC = 0
The solution to this equation could not be determined.
A student read the first 150 pages of a book that is 450 pages long.
What fraction of the book does the student have left
Answer:
1/3
Step-by-step explanation:
the book is 450 pages long
the student read 150 pages
so he read 150/450=1/3
Answer:
2/3
Step-by-step explanation:
150x3=450
so 2 thirds
Oli and Katrina are buying a new SUV. The sticker price is $47,500. They talked to their bank (loan A) and were offered a 6 year loan at 4.5% annual interest, resulting in monthly payments of $754.02. The dealership (loan B) claims the couple will pay less interest with them because the loan is shorter, 5 years, and the interest rate is barely higher at 6%, resulting in a monthly payment of $918.31.
Answer:
Following are the answer to this question:
Step-by-step explanation:
In the given equation some information is missing, that is Loans "A and B".
Formula:
\(\bold{Total \ Payback = \ Montly \ instalment \times \ Number \ of \ Instalments} \\\\\)
calculating total amount of Loan A:
\(= $754.02 \times 72\\\\= 54289.44\)
calculating total amount of Loan B:
\(= $918.31 \times 60\\\\= 55098.6\)
Calculate loan A:
\(\bold{ \ Int = \ Total\ Payment - \ Loan}\\\\\)
\(= $ 54289.44 - $ 47500\\\\= $ 6789.44\)
Calculate loan B:
\(\bold{ \ Int = \ Total\ Payment - \ Loan}\\\\\)
\(= $ 55098.60 - $ 47500\\\\= $ 7598.60\)
The Additional value of the Int in loan B:
\(\bold{= \ Int \ in \ loan \ B - \ Int \ in \ loan \ A}\)
\(= 7598.6 - 6789.44\\\\= 809.16\)
If the domain of the function y=4x+1 is 0
Simplify and factor the following expression 3(2x+4)+2(3x-4)
Answer:
12x+4
Step-by-step explanation:
Please solve the question in Image
Answer:
y(0.1) = 0.05, y(0.2) = 0.09
what is modified Euler method?Modified Euler's method is a numerical method used to solve ordinary differential equations (ODEs). It is a variation of Euler's method that is more accurate than the original, but still relatively simple to implement. It works by taking a single iteration of the Euler method, then using the midpoint between the current and previous points to calculate the next point in the sequence. This is done in order to reduce the error.
Solution
We have, y(0) = 0
dy/dt = 1 – y
h = 0.1
Using modified Euler's method,
y(0.1) = y(0) + (1/2) h (f(t0, y0) + f(t0 + h, y0 + hf(t0, y0)))
= 0 + (1/2) (0.1) [(1 - 0) + (1 - 0 + 0.1)]
= 0.05
Similarly,
y(0.2) = 0.1 + (1/2) (0.1) [(1 - 0.05) + (1 - 0.1 + 0.1)]
= 0.0975
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A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
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If sqrt(4 + x) + (10 − x) = 6 , then find sqrt(4 + x)(10 − x) algebraically.
The algebraic expression for √(4+x)(10-x), which is 121.
To find the value of √(4+x)(10-x) algebraically, we start by simplifying the given equation:
√(4+x) + √(10-x) = 6
To eliminate the square roots, we can square both sides of the equation:
(√(4+x) + √(10-x)\()^2 = 6^2\)
Expanding the left side using the binomial formula, we get:
(4+x) + 2√[(4+x)(10-x)] + (10-x) = 36
Simplifying further:
14 + 2√[(4+x)(10-x)] = 36
Subtracting 14 from both sides:
2√[(4+x)(10-x)] = 22
Dividing both sides by 2:
√[(4+x)(10-x)] = 11
Now we can square both sides again to get rid of the square root:
[(4+x)(10-x)] = \(11^2\)
Simplifying further:
(4+x)(10-x) = 121
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a circular go-kart track has a diameter of 75 meters. approximately how long is the track?
how long is the track or namely, what's its perimeter.
\(\textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d= 75 \end{cases}\implies C=\pi 75\implies C \approx 235.62\)
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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Help please it’s math
Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates
Answer:
The equation would be:
58 times 65
The answer:
3,770
Step-by-step explanation: