\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=16\\ \theta =270 \end{cases}\implies s=\cfrac{(270)\pi (16)}{180}\implies s=24\pi\)
a friend comes up to you and offers you a free ticket to a dodgers game that night, and you decide to attend the game. the game takes five hours and costs you $25 for transportation. if you had not attended the game, you would have worked at your part-time job for $12 an hour. what is the cost to you of attending the game?
The cost to you of attending the game instead of going to work is 85$
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Transportation cost = 25$Hours paid for work = 12$ per hourTime of the game = 5 hCalculating how much will cost attending the game:
Total cost = (time of the game*Hours paid for work) + Transportation cost
Total cost = (12*5) + 25
Total cost = 85$
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If A and B are any two events defined on a sample space S of an experiment, then p(A ∩ B) = p(A).p(B)
True or False
The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.
This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).
If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).
Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.
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im so comfused please help
Answer:
it is graph b , but im very sorry if yu get it wrong mb:) i tried:)
Step-by-step explanation:
Is the sequence -5,-2,5,8 arithmetic? briefly explain.
Answer: Yes
Step-by-step explanation:
-5 + 3 = -2
-2 + 7 = 5
5 + 3 = 8
I have 0.4 liters of seawater, and I give 22 students each a container and a 5milliter spoon. I ask them to put two spoonfuls into the container. How many milliliters of seawater will be left after all 22 students have filled their containers.
Answer: 180 milliliters
Step-by-step explanation:
There are 22 students and they are to put two spoonfuls into the container.
Total spoonfuls is:
= 22 * 2
= 44 spoonfuls
Each spoonful is 5 milliliters:
= 5 * 44
= 220 milliliters in total.
1 litre = 1,000 milliliters
0.4 litres in milliliters is:
= 0.4 * 1,000
= 400 milliliters
Amount of water left in milliliters is:
= 400 - 220
= 180 milliliters
Jason is buying wings and hot dogs for a party. He can get pre-cooked wings at a local restaurant for $0.50 per wing with a purchase of 2 dozen or more. Hot dogs, including the bun and condiments, are $1 each if you buy 10 or more. He budgeted $120 for the party, but has already spent $80 on other things?
Write a system of 3 inequalities that model this situation?
Answer:
w ≥ 24
h ≥ 10
0.50w +1.00h +80 ≤ 120
Step-by-step explanation:
We can let w and h represent the numbers of wings and hot dogs Jason can buy. Then some inequalities are ...
w ≥ 24
h ≥ 10
0.50w +1.00h +80 ≤ 120
SHOW YOUR WORK
PRACTICE : DETERMINE THE PROBABILITY OF EACH DEPENDENT EVENT OCCURRING.
A bag has 5 red marbles ,1 green marbles ,8 yellow marbles ,and 2 blue marbles .What is the probability of drawing a yellow marble ,holding on to it ,and then drawing a red marble???
The probability of drawing a yellow marble, holding on to it, and then drawing a red marble is approximately 0.1667 or 16.67%.
What is the probability?To find the probability of drawing a yellow marble, holding on to it, and then drawing a red marble, we need to calculate the probability of each event occurring and then multiply the probabilities together, since the events are dependent.
First, let's find the probability of drawing a yellow marble. There are 5 + 1 + 8 + 2 = 16 marbles in total, and 8 of them are yellow. Therefore, the probability of drawing a yellow marble is:
P(Yellow) = 8/16 = 1/2
Next, we need to find the probability of drawing a red marble after drawing a yellow marble and holding on to it. After drawing a yellow marble, there are 15 marbles left in the bag, and 5 of them are red. Therefore, the probability of drawing a red marble after drawing a yellow marble and holding on to it is:
P(Red|Yellow) = 5/15 = 1/3
Finally, we can find the probability of both events occurring by multiplying the probabilities together:
P(Yellow and Red) = P(Yellow) x P(Red|Yellow)
P(Yellow and Red) = (1/2) x (1/3) = 1/6
Therefore, the probability of drawing a yellow marble, holding on to it, and then drawing a red marble is 1/6, or approximately 0.167.
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Help me pls I’m struggling and I can’t solve it
The perimeter of the rectangle is 4y + 6 (cm).
How can the perimeter equation be found?All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.
The diagram shows a rectangle. All measurements are in centimetres an expression in terms of y, for the perimeter of the rectangle.
The perimeter of the rectangle is
2(y+3)+24
=2y + 6 + 2y = 4y + 6 (cm)
{ the perimeter:
2 * width + 2 * Length}
The perimeter of the rectangle is 4y + 6 (cm).
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3) Complete the function
table below for y = x + 3.
Write the solutions as ordered
pairs.
X
0
2
5
Y
Answer:
3
5
8
Step-by-step explanation:
if x is 0 then
y= x+3
= 0+3
again x is 2 then
y= 2+3
also x is 5 then
y= 5+3
James and Mandy’s lunch bill is $27.78. They had really good service and agree to pay an 18% tip to their server. What amount of tip will they leave?
A.$5
B.$7
C.$10
D.$18
13.*Use info from the question above* If they paid with a $50 bill, how much change will they get back?
A.$32.78
B.$12.42
C.$17.22
D.$24.18
Answer:
A - 32.78!
Step-by-step explanation:
hope this helped <3
PLEASE HELP!! Due very soon!! 10 points! Which of the following functions, when graphed, would have a constant rate of change and an x-intercept of -5?
(See attached pic for multiple choices)
Answer:
D
Step-by-step explanation:
only solution C and D are linear function, and they are essentially straight lines. However, C have a x intercept of 5/2, so we rule out option C.
appear to be tangent are tangent.
3.
K
8
4
6
In the given circle, value of x is,
⇒ x = 3.56
Since, We know that;
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Two tangents are shown in figure.
Now, By definition of proportionality we get;
⇒ 8 / x = 9 / 4
Cross multiplication,
⇒ 8 × 4 / 9 = x
⇒ x = 32 / 9
⇒ x = 3.56
Therefore, WE get;
The value of x in the circle is,
⇒ x = 3.56
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which expression is equivalent to (2x^2+4x-7)(x-3) pls help soon
Answer:
Since you do not have any answer choices, I will step-by-step solve the equation for you. Typically what happens with problems like this is the answer choices will match the work when solving. So, pay attention to my scratch-work and if any answers match the answer choices, then that is most likely the correct answer. (Hint: the solution to the equation is most likely the correct answer)
Write the equation:
(2x^2 + 4x – 7)(x – 3)
Simplify and Distribute:
(2x^2 + 4x – 7)(x – 3)
2(x – 3)^2 + 4x(x – 3) – 7(x – 3)
2x^3 – 6x^2 + 4x
(x – 3) – 7(x – 3)
2x^3 – 6x^2 + 4
x^2 – 12x – 7(x – 3)
2x^3 – 6x^2 + 4
x^2 – 12x – 7x + 21
Combine Like Terms:
2x^3 – 2x^2 – 12x – 7x + 21
2x^3 – 2x^2 – 19x + 21
Solution:
2x^3 – 2x^2 – 19x + 21
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Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter
Starting hexagon A
Second hexagon solved ______________________
Third hexagon solved____________________________
Fourth hexagon solved________________________________
Fifth hexagon solved____________________________________-
Last hexagon S (flower)
A mathematical description of hexagon is given above.
What is a polygon?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides.
Given is hexagon.
In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
Therefore, a mathematical description of hexagon is given above.
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in δefg, f = 61 inches, ∠f=79° and ∠g=34°. find the length of g, to the nearest 10th of an inch.
Which test statistic should be used when computing a confidence interval given only the number in a sample, the sample mean and sample standard deviation?.
T test is used to compute the confidence interval, when the mean and standard deviation is given.
What is Standard Deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test
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2x + 3y =12
Complete the missing value in the solution to the equation
(blank, 8)
Answer:
(-6, 8)
Step-by-step explanation:
2x + 3(8)= 12
2x + 24 = 12
-24 -24 (subtract 24 from both sides)
2x = -12
x= -6
What is the sum of the measures of the polygon that has fifteen sides?
Sum of the exterior angles = [?]
Answer:
Sum of exterior angles = 360 degrees
Step-by-step explanation:
The Polygon Exterior Angle Sum Theorem says that for all convex polygons (i.e., a polygon with no angles pointing inward), the sum of the measures of it's exterior angles is 360 degrees.
the price of a coke in 1960 was $0.10. it now costs $0.83. find the percent of change.
how to find equation of an hyperbola
paragraph explaining how the volume of a sphere in real world and mathmatical problems
Answer:
We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by
Step-by-step explanation:
54 oranges cost 36 naira. Find the cost of 3 oranges
If 54 oranges cost 36 naira, then the cost of 3 oranges is 2 naira
Unitary method is a method of solving problems by finding the value of one unit and then using that value to find the value of a given number of units
To find the cost of 3 oranges, we can use unitary method which involves finding the cost of one orange and then multiplying it by 3.
Let's first find the cost of one orange
54 oranges cost 36 naira
So, 1 orange will cost:
1/54 of 36 naira = (36/54) naira = (2/3) naira
Now, we can find the cost of 3 oranges by multiplying the cost of one orange by 3
Cost of 3 oranges = 3 x (2/3) naira = 2 naira
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Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer: 64.0
Step-by-step explanation:
Cal has a collection of 186 toy farm animals which she no longer 2,5 She code
stee them between her 3 young cousins. How many toys do they receive each?
Answer:
62 (I guess, if I understand your text correctly)
Step-by-step explanation:
you mean she did not need her toy farm animals anymore and gives all of them evenly to her 3 younger cousins ?
then it is a very simple division : 186 / 3 = 62
do you not know how to divide ?
186 / 3
you take the number on the right and compare it to the first (most left) digit position on the left side and see, if the right side can divide this left position.
so, in our case, 1 / 3. Is that possible ? no. so, the result is 0, and we keep the leftover from the left side (still this "1").
now we attach the next digit (going from left to right) from the left side : 18
and we compare again - can we divide now this left side by the right side ? in our example 18 / 3. is that possible ? yes ! the result is 6. we attach this result to our previous result (0) and get 06 (or simply 6). and now there is nothing left in our intermediate division (18/3 creates no remainder, it is just straight 6).
so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : 06 (or simply 6).
and we compare again - can we divide now this left side by the right side ? in our example 6 / 3. is that possible ? yes ! the result is 2. we attach this result to our previous result (06) and get 062 (or simply 62). and now there is nothing left in our intermediate division (6/3 creates no remainder, it is just straight 2).
so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : oh, there are no more digits. we are finished !
and we have calculated just by hand or mind without any calculator that 186/3 = 62
How many solutions does the system have? y=4x-8 4y=4x-8
Answer:
There is one solution (x=2, y=0)
Step-by-step explanation:
y=4x-8
4y=4x-8
Divide the second equation by 4
y = x - 2
Set the two equations equal
4x - 8 = x-2
Subtract x from each side
3x -8 = -2
Add 8 to each side
3x = 6
Divide by 3
x = 2
Now find y
y = x-2
y = 2-2=0
Answer:x=2,y=0
Step-by-step explanation:
4(4x-8)=4x-8
16x-4x=32-8
12x=24
X=2
Y=0
In baseball the lengths of the paths between the bases are 90 feet and form right angles. The catcher throws the ball from home plate to second base. How far did the ball travel?
The ball traveled approximately 127.28 feet from home plate to second base.
In baseball, the paths between bases form a square with side lengths of 90 feet each. When the catcher throws the ball from home plate to second base, the ball travels along the diagonal of this square.
To find the length of the diagonal, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two side lengths.
In this case, both side lengths are 90 feet, so the equation is:
Diagonal² = 90² + 90²
Diagonal² = 8,100 + 8,100
Diagonal² = 16,200
To find the length of the diagonal, take the square root of 16,200:
Diagonal ≈ 127.28 feet
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How many points are on this plane?
Answer:
5
Step-by-step explanation:
A,B and C would be the inside of the plane not outside.
i need help with problem
The series of transformations that would map Figure Y onto Figure Z is given as follows:
Reflection over the y-axis.Translation right four units.How to define the transformation?The top right vertex of Figure Y has the coordinates given as follows:
(-3,-2).
On Figure Z, the equivalent vertex has the coordinates given as follows:
(7,-2).
From the change in the orientation, we know that the figure was reflected over the y-axis, for which the rule is (x,y) -> (-x,y), hence:
(-3, -2) -> (3, -2).
Then 4 was added to the x-coordinate, meaning that the figure was also translated right four units.
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Explain the difference between 2(7x-4) and (7x-4)^2
Answer:
2(7x-4) = 7x(2)-4(2) = 14x-8
but
(7x-4)^2 = (7x-4) (7x-4)
Write an expression equivalent to
- 3+ y - 4 - 12/31