Answer: 11.33333333333333
find the market and the selling price of the following item. Roundup answers to the nearest sent blank chemistry say costs and 27.5 marked up 32% on cards what is the markup
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
C
Step-by-step explanation:
It is C because it has a proportional value through the diameter of the graph. With that you will also be able to figure this out by seeing that the light in between the graph is even. The numbers that the graph a line with are similar to the answer C.
Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is
a. any positive value
b. one
c. any value between 0 to 1
d. zero
Given that event A is known to occur and both events A and B have nonzero probabilities, we can conclude that the probability of event B occurring is zero. So, the correct answer to your question is: d. zero
If events A and B are mutually exclusive, it means that they cannot occur at the same time. So, if we know that event A has occurred, we can safely say that event B cannot occur. Therefore, the probability of the occurrence of event B given that event A has occurred is zero. Therefore, the correct answer is d) zero.
Mutually exclusive events are a fundamental concept in probability theory. It means that the occurrence of one event excludes the occurrence of another event. For example, when flipping a coin, the event of getting heads is mutually exclusive with the event of getting tails. It is impossible to get both heads and tails at the same time.
Understanding mutually exclusive events is important because it helps us to calculate the probability of combined events. For mutually exclusive events, we can simply add their probabilities to get the probability of their union. However, if events are not mutually exclusive, we need to subtract the probability of their intersection to avoid counting the same outcome twice.
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Find x:
(Round the answer to the nearest tenth if there is a decimal)
Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)
Use tangent:
tan x = 8/15
x = arctan (8/15)
x = 28.1° (rounded)
Step-by-step explanation:
How do you know if a midpoint Riemann sum is an overestimate or underestimate?
When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.
We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.
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Complete the inequality statement.
13.01 ___ 13.1
1. =
2. >
3.
13.1 = 13.10
---> 13.1 > 13.01
---> 13.01 < 13.1
The correct answer is <
Rosanne, an architect, is designing a hotel in Lakeside. Single rooms take up 28 square
meters of space and suites take up 98 square meters of space. In total, there are a maximum.
of 14,400 square meters available.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
x = the number of single rooms
y the number of suites
<
2
S
The inequality which correctly represents the situation of the Lakeside hotel as described is; 28x + 98y ≤ 14,400.
Which inequality correctly represents the situation of the Lakeside hotel?As evident in the task content, it can be inferred that;
x = the number of single rooms and
y = the number of suites
Hence, since single rooms take up 28 square meters; it follows that for x single rooms; we have; 28x.
Additionally, since suites take up 98 square meters; it follows that for y suites; we have; 98y.
Therefore, since there are a maximum of 14,400 square meters available, the inequality which correctly represents the situation of the Lakeside hotel is; 28x + 98y ≤ 14,400.
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If Maria's subtotal at the store is $5.25 and sales tax is 7%, what is the sales tax cost?
Answer:
0.3675$
Step-by-step explanation:
sale tax is 7% of 5.25 or sale tax = 5.25 x 7/100 = 0.3675$
\(answer = 0.3675 \\ solution \\ marked \: price = 5.25 \\ tax \: percent = 7 \: percent \\ tax \: amount = \: tax \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 7 \: percent \: of \: 5.25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.3675 \\ hope \: it \: helps\)
a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle?
Solve the following inequalities and sketch a
graph of each solution.
a 7 - 2x 54
b 4r + 16x - 8
c-3x + 5 > 0
Answer:
Step-by-step explanation:
A= - 101
B = 4( r + 4x - 2 )
C = x < 5/3
I hope this helps. Best of luck.
Subtract:
(7x + 3) - (2x + 1)
Your answer should be in simplest terms.
Enter the correct answer.
Answer:
5x-2
Step-by-step explanation:
distribute the negative to get
7x+3-2x-1
simplify by combining like terms
5x-2
Answer:
76
Step-by-step explanation:
Estimate any dynamic error that could result from measuring a 2 hz periodic waveform using a 1st order system having a time constant of 0.7 second.
The measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds.
The dynamic error that could result from measuring a 2 Hz periodic waveform using a 1st order system with a time constant of 0.7 seconds can be estimated using the following formula:
Dynamic error = 100% x (1 - exp(-T/τ)),
where T is the period of the input signal, τ is the time constant of the system, and exp(-T/τ) is the system's gain at the input frequency.
Substituting T = 0.5 s (since the period of a 2 Hz waveform is 0.5 seconds) and τ = 0.7 s, we get:
Dynamic error = 100% x (1 - exp(-0.5/0.7)) ≈ 21.6%
This means that the measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds. This error is due to the fact that the system cannot respond fast enough to the rapid changes in the input signal, leading to an output that lags behind the input. The larger the time constant of the system relative to the period of the input signal, the larger the dynamic error will be.
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At the grocery store, Jamir bought a box of 12 Snickers Bars for $11.50. How much did he pay for each candy bar?
Answer:
138
Step-by-step explanation:
$ 11.50 x 12 = 138
if the nth term of a sequence is 5n+1 what is the 12th term?
Answer:
61
Step-by-step explanation:
nth=5n+1
.: 12th=5(12)+1 =60+1
=61
20. State whether the conjecture is true or false. If false, provide a
counterexample.
Subtraction of whole numbers is commutative.
Answer:
false
Step-by-step explanation:
in addition it works for example 1+2=2+1
but it does not in subtraction 1-2= -1 but 2-1=1
Greyson is playing a game. If he picks a red marble he earns 3 points. If he picks a blue marble, he loses 4 points. How many points does Greyson have at the end of 6 turns if he
picks : red, red, blue, blue, blue, red?
Answer:
the answer would be -3 because you would do 9-12 which would be -3
Find the distance between point k and point L.
The distance between points L and K is 4 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,
\(D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2\).
Given, Are two points L and K.
The coordinate points of L(- 2, 6) and K(- 2, 2).
Therefore, The distance between points L and K is,
\(|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}\).
\(|LK| = \sqrt{16}\).
\(|LK| = 4\).
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Need help on this hm THE MIDDLE ONE
Answer:
{0, 1, -1}
Step-by-step explanation:
2x - 6 = 3x + 1 - x - 7
2x - 6 = 2x - 6
0 gives you -6 = -6
1 gives you -4 = -4
-1 gives you -8 = -8
Which number line best represents the solution to the inequality 3x - 5 ≥ 7?
a, as in apple
x>= 4
Thomas got a haircut from the barber. If the haircut cost $32 and he wants to leave a 18% tip, how much will he pay in total
Answer:
$37.76
Step-by-step explanation:
32*1.18=37.76.
Hope this helps!
answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
The table shows values for a quadratic function.
x,y
0,0
1,2
2,8
3,18
4,32
5,50
6,72
What is the average rate of change for this function for
the interval from x= 1 to x= 3?
A. 6
B. 4
C. 8
D. 9
The a = 0.Substituting the values of a, b, and c in the general equation, we get:y = 0x² + 2x + 3The quadratic function is:y = 2x + 3Answer: The quadratic function is y = 2x + 3.
The given table illustrates the values of a quadratic function. Here is how you can find the quadratic function:Step 1: Write the general form of a quadratic function y = ax² + bx + c, where y is the dependent variable and x is the independent variable. a, b, and c are constants that affect the shape and position of the parabola.Step 2: Substitute the values from the table for x and y to form a system of equations.Step 3: Solve the system of equations to find the values of a, b, and c. Once you have found these values, substitute them into the quadratic equation to get the quadratic function.
The given table is as follows:x | 0 | 2 | 4 | 6y | 3 | 1 | -1 | -3Step 2:Form a system of equations using the values in the table. Here are the equations:y = a(0)² + b(0) + cy = a(2)² + b(2) + cy = a(4)² + b(4) + cy = a(6)² + b(6) + cStep 3:Solve the system of equations.Using the first equation, y = c. Hence, we have:y = 0²a + 0b + c3 = cThe value of c is 3.Using the second equation, we have:y = 2²a + 2b + 3y = 4a + 2b + 3Subtracting the two equations, we get:- 2a - b = - 2a + b = 2b = 4Therefore, b = 2.Substituting the values of b and c into the first equation, we get:3 = a(0)² + 2(0) + 3
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Find the slope, m out the line that passes through the points (8,2) and (-7,-3)
Answer:
m = 1/3
Step-by-step explanation:
Given two points on a line, we can find the slope of the line using the slope formula, which is given by:
m = (y2 - y1) / (x2 - x1), where
m is the slope,(x1, y1) is one point on the line,and (x2, y2) is another point on the line.Thus, we can plug in (8, 2) for (x1, y1) and (-7, -3) for (x2, y2) to find m, the slope of the line passing through the two points:
m = (-3 - 2) / (-7 - 8)
m = -5 / -15
m = 1/3
Thus, the slope, m, of the line passing through the points (8, 2) and (-7, -3) is 1/3.
The slope is:
↬ 1/3Work/explanation:
Use the slope formula:
\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
where m = slope;
(x₁, y₁) is a point;
(x₂, y₂) is another point.
Label the values:
m is unknown;
(x₁, y₁) is (8,2);
(x₂, y₂) is (-7, -3).
Plug in the data:
\(\bf{m=\dfrac{-3-2}{-7-8}}\)
Simplify both the numerator and the denominator
\(\bf{m=\dfrac{-5}{-15}}\)
\(\bf{m=\dfrac{5}{15}}\)
\(\bf{m=\dfrac{1}{3}}\)
Hence, the slope is 1/3Write the first five terms of the sequence:
a(1) = 1, a(n) = 5(n-1), n ≥ 2
Answer: 5, 10, 15, 20, 25
Step-by-step explanation:
a(1)=1
a(2)=5(2-1)
a(2)=5
a(3)=5(3-1)
a(3)=10
a(4)=5(4-1)
a(4)=15
5, 10, 15, 20, 25
A full glass of water can hold 1/6 of a bottle
How many glasses of water can be filled with 3 1/2 of water
Answer:
21
Step-by-step explanation:
Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.
Answer:
21.
Step-by-step explanation:
That would be 3 1/2 divided by 1/6.
= 7/2 / 1/6
= 7/2 * 6
= 42/2
= 21 glasses.
is -1 greater or less than -3.6
Answer: I don’t know
Step-by-step explanation:
the number of failures of a testing instrument from contamination particles on the product is a poisson random variable. on average there are 0.02 failures per hour.
(a) What is the probability that the instrument does not fail in an 8-hour shift?
(b) What is the probability of at least one failure in a 24-hour day?
Round your answers to four decimal places (e.g. 98.7654).
The number of failures of a testing instrument due to contamination particles on a product follows a Poisson distribution with an average rate of 0.02 failures per hour.
In a Poisson distribution, the probability of an event occurring a certain number of times within a given interval is determined by the average rate of occurrence. In this case, the average rate is 0.02 failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, we can use the Poisson probability formula. The parameter λ (lambda) represents the average rate, which is equal to 0.02 failures per hour multiplied by 8 hours. The probability of no failures is calculated by plugging λ and the number of events (0) into the formula. The result gives the probability that the instrument does not fail in an 8-hour shift.
(b) To calculate the probability of at least one failure in a 24-hour day, we can use the complement rule. The complement of "at least one failure" is "no failures." We can calculate the probability of no failures using the same approach as in part (a). Then, subtracting this probability from 1 gives us the probability of at least one failure.
By applying the appropriate formulas and rounding the results to four decimal places, we can determine the probabilities requested in the problem.
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A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 9 ft 3 in. How many cubic feet of shipped goods would it hold when it’s half full? Round your answer to the nearest tenth if necessary.
Using the formula for the volume of a rectangular prism, it is found that it would hold 1110 feet of shipped goods when it’s half full.
What is the volume of a rectangular prism?The volume of a rectangular prism with length l, width w and height h is given by:
\(V = lwh\)
In this problem, considering that 12 inches represent a feet, we have that:
Length of 30 ft, hence l = 30.Width of 8 ft, hence w = 8.Height of 9 ft 3 in, hence h = 9.25.Considering it would be half full, the volume is multiplied by 0.5, then:
\(V = 0.5(30)(8)(9.25) = 1110\)
It would hold 1110 feet of shipped goods when it’s half full.
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Answer:
8
Step-by-step explanation:
The cost of an
8
-ounce box of cereal is
$
1.68
. At this rate, what is the cost per ounce of the cereal, in dollars and cents?
Answer:
.21 cents
Step-by-step explanation:
To get .21 do 1.68 divided by 8
1.68 ÷ 8 = .21
Hope this helps ya!!
A circle has a radius of \blue{6}6start color #6495ed, 6, end color #6495ed. An arc in this circle has a central angle of 330^\circ330∘330, degrees. What is the length of the arc? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
11 pi
Step-by-step explanation:
khan academy
The length of arc is \(11.04\pi\)
Central angle :Given that, radius of circle is 6 unit.
And an arc in this circle has a central angle of 330 degree.
First we have to convert given angle into radian.
330 degree \(=330*\frac{\pi}{180} =1.84\pi\)
As we know that,
angle \(\theta=\frac{Arc}{radius}\\\)
Substitute values in above relation.
\(Arc=1.84\pi *6\\\\Arc=11.04\pi\)
Thus, the length of arc is \(11.04\pi\)
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