Step-by-step explanation:
Equation for the line of reflection is the diagonal line y = x.
Find the simplified product: V2x^3 x V18x^5
\(\sqrt{2x^3}\cdot \sqrt{18x^5}\implies \sqrt{(2x^3)(18x^5)}\implies \sqrt{36x^{3+5}}\implies \sqrt{36x^8} \\\\\\ \sqrt{6^2(x^4)^2}\implies 6x^4\)
SOMEONE HELP ME!
What is 25% of 40?
A. 10
B. 15
C. 20
D. 25
Answer:
The answer is 10 my friendo
Answer:
A.10
Step-by-step explanation:
you divide 40/4 which is basically 25% of 40 which is 10
(c) find . (d) interpretation would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? explain.
c) The probability that a sample size of 36 has a sample mean of less than 19 is of: 0.0228 = 2.28%.
d) It would be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19, as the z-score has an absolute value of 2.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.An unusual measure in the normal distribution has a z-score with absolute value of at least 2.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters of this problem are given as follows:
\(\mu = 20, \sigma = 3, n = 36, s = \frac{3}{\sqrt{36}} = 0.5\)
The probability that a sample size of 36 has a sample mean of less than 19 is the p-value of Z when X = 19, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
Z = (19 - 20)/0.5
Z = -2
Z = -2 has a p-value of 0.0228.
Missing InformationSuppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n=36 are drawn.
C. Find P(x<19) (answer should be: 0.0228)
D. Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? Explain. (answer should be: Yes, only about 2.3% of all such samples have means less than 19)
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a die is continuously rolled until the total sum of all rolls exceeds 275. 275. what is the probability that at least 75 75 rolls are necessary?
The probability that at least 75 rolls are necessary to exceed a total sum of 275 is approximately 0.293.
Let X be the random variable denoting the total number of rolls required to exceed 275. We want to calculate P(X >= 75). The probability of rolling a number greater than 5 is 1/3, and the probability of rolling a number less than or equal to 5 is 2/3. Therefore, the expected value of a single roll is
(1/3)6 + (2/3)(1+2+3+4+5) = 3.67The variance of a single roll is
((1/3)2² + (2/3)(1²+2²+3²+4²+5²)) - 3.67² = 2.89.Using the properties of the geometric distribution, we can calculate the probability that it takes at least 75 rolls to achieve a sum greater than 275:
P(X >= 75) = (1 - P(X < 75)) = (1 - (1 - (275/3.67)/75\()^{(75)}\)) = 0.293.
Therefore, the probability that at least 75 rolls are required is approximately 0.293.
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Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement. How should this be interpreted?
A. The system of equations has infinitely many solutions.
B. The system of equations has no solution.
C. The system of equations is unsolvable.
D. The system of equations has been solved incorrectly.
Step-by-step explanation:
C. The system of equations is unsolvabl
Drag the correct description to tell whether the graph represents a function.
Answer:
1) Not a function 2) function 3) function
Step-by-step explanation:
Use the vertical line test. If you draw a line on every vertical line on the graph and you see two points, it is not a function.
The graph is shown in options B) and C) represents a function and this can be determined by carefully observing the given graph.
Check all the options in order to determine whether the graph represents a function or not.
A) The graph shows in this option that the two lines are intersecting at (x = 2). Therefore, this graph does not represent a function.
B) The graph shows in this option is in the shape of a parabola whose vertex is at (-2,0). Therefore, this graph does represent a function.
C) The graph shows in this option is in the shape of a wave. This graph may represent a trigonometric function. Therefore, this graph does represent a function.
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When evaluating (3.25x10^5)(1.82x10^3) what will be the exponent of 10 in the product
Answer: Try 8 or C because you either add or subtract the exponents but 2 isn’t there so try 8
Step-by-step explanation:
This graph represents the design of a child’s slide what is the slope of the slide
Answer:
I think it is 1/2 because it goes up 1 over 2
How much money does Ronnie need to buy 9 dog calendars and 3 maps of the world?
Answer: How much do they cost-.....
Step-by-step explanation:
Which of the fractions below is closest to one?
A: 1/4
B: 1/5
C: 1/6
D: 1/8
Gotta finish before 3:00!!!!
Answer:
A: 1/4
Step-by-step explanation:
we rewrite the answers in decimals to see the fraction closest to 1(We do this by dividing the fractions)
A: 1/4(0.25)
B: 1/5(0.2)
C: 1/6(0.1667)
D: 1/8(0.125)
thus from the above answers the fraction closest to is 1/4(0.25)
pc is less than 50% (this can be seen by the shaded area which is less than half of the area under the graph). does this mean that the cost of overage or the cost of underage is higher?
The fact that PC is less than 50% indicates a higher probability of underage.
However, without additional information on the costs associated with overage and underage, we cannot determine which cost is higher.
From the information given in the student question, it is clear that the probability of underage (PC) is less than 50%, as indicated by the shaded area under the graph.
To determine whether the cost of overage or the cost of underage is higher, follow these steps:
1. Identify the costs associated with overage and underage in the given context. Overage cost refers to the cost incurred when the inventory is higher than demand, while underage cost refers to the cost incurred when the inventory is lower than demand.
2. Analyze the graph or data provided to compare the costs of overage and underage. Since the student question does not provide any specific data or graph, we cannot accurately determine which cost is higher based on the given information.
3. Interpret the results. If the cost of overage is higher than the cost of underage, this means that having excess inventory is more expensive than having insufficient inventory.
Conversely, if the cost of underage is higher than the cost of overage, this means that not having enough inventory is more expensive than having excess inventory.
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if f(x) = 3x - 4 and g(x) = x^2, find the value of f(3) - g(2)
Answer:
\(\huge\boxed{\sf 1}\)
Step-by-step explanation:
Given functions:f(x) = 3x - 4
Put x = 3
f(3) = 3(3) - 4
f(3) = 9 - 4
f(3) = 5 ------------------(1)Also,
g(x) = x²
Put x = 2
g(2) = (2)²
g(2) = 4 --------------(2)Subtract Eq. (2) from Eq. (1)
f(3) - g(2):= 5 - 4
= 1\(\rule[225]{225}{2}\)
Answer:
F(3) -g(2) = 1
Step-by-step explanation:
F(3)= 3(3) -4= 5
g(2)= \(2^{2}\) = 4
f(3) -g(2)= 5-4 =1
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
Which of the following would be the standard deviation for this sample data set: 5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5?1.801.722.685.36
The standard deviation for this sample data set is 1.93.
What is deviation ?
Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.
To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.
Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:
(1/n) * Σ(x_i - mean)^2
where n is the number of data points and x_i is the i-th data point.
The variance for this data set is 3.70.
Finally, we take the square root of the variance to get the standard deviation.
So, the standard deviation for this sample data set is 1.93.
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What shape is figure a?
Figure A is a cone and figure B is a cylinder.
cylinder
sphere
cone
pyramid
Mark this and return
In the given figure, shape A is cone and shape B is cylinder. Therefore, option C is the correct answer.
A cone is a three-dimensional shape with a flat base (typically circular) that gradually narrows to a point at the top, called the apex or vertex. It is formed by a set of lines or half-lines extending from the apex to all points lying on a plane that does not contain the apex.
A cylinder is a three-dimensional figure that is made up of two parallel flat surfaces connected by a curved side. The two bases are typically circular, but can also be any other shape, such as an ellipse. The two bases are usually at different heights and the curved surface is made up of straight side walls connecting the two bases. Cylinders can be thought of as a circular tube that has been cut in half and then the cut edges pushed together.
Therefore, option C is the correct answer.
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Find the probability that you select a slice of pepperoni pizza second given that you randomly selected a slice of cheese pizza first
The likelihood of selecting a cut of pepperoni pizza moment given merely have as of now chosen a cut of cheese pizza to begin with is 4/7 or roughly 0.57.
There are a add up to of 8 cuts of pizza, and in the event that you haphazardly select a cut of cheese pizza to begin with, there are presently as it were 3 cuts of cheese pizza cleared out out of 7 add up to cuts cleared out. Since you need to discover the likelihood of selecting a cut of pepperoni pizza moment given that a cut of cheese pizza has as of now been chosen, you would like to calculate the likelihood of selecting a cut of pepperoni pizza from the remaining 4 cuts of pepperoni pizza and 3 cuts of cheese pizza.
The likelihood of selecting a slice of pepperoni pizza moment given that you simply have as of now chosen a cut of cheese pizza to begin with can be calculated utilizing the conditional likelihood equation:
P(Pepperoni moment | Cheese to begin with) = P(Pepperoni moment and Cheese to begin with) / P(Cheese to begin with)
The likelihood of selecting a cut of pepperoni pizza moment and a cut of cheese pizza to begin with is \(4/8 x 4/7 = 16/56\). The likelihood of selecting a cut of cheese pizza to begin with is 4/8, which disentangles to 1/2. Subsequently: P(Pepperoni moment | Cheese to begin with) = (16/56) / (1/2) = 4/7
The complete question is:
You and some friends ordered pizza and have four slices of pepperoni pizza and four slices of cheese pizza remaining. Find the probability that you select a slice of pepperoni pizza second given that you randomly selected a slice of cheese pizza first.
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Consider the sequence below.
-11, 22, -44, 88, …
Complete the recursively defined function to describe this sequence.
f(0) = ___
f(n) = f(n - 1) · ___ for n = 1, 2, 3, …
Answer: f(0)=11/2
f(n) = f(n - 1) · (-2)
Step-by-step explanation:
f(0)=f(1)*(f(0+1)/f(1+1))
f(0)=f(1)*(f(1)/f(2))
f(0)=-11*(-11/22)
f(0)=-11*(-1/2) ==> -11/22 simplifies to -1/2
f(0)=-11*(-1)/2
f(0)=11/2
f(n) = f(n - 1) · f(2)/f(2-1)
f(n) = f(n - 1) · f(2)/f(1)
f(n) = f(n - 1) · 22/(-11)
f(n) = f(n - 1) · 2/(-1)
f(n) = f(n - 1) · (-2)
Need help with 15 and show the work
Answer:
D
Step-by-step explanation:
In 2 hours they wash 8 cars total so...
8
16
24
The extra time is 15 mins for 2 cars
Can you help me please it’s is due tonight please help me
Answer:
The neighbors paid him 24
please answer and answer
Answer:
Is the C
Step-by-step explanation:
Suppose that the proportion P of voters who recognize a candidate's name t months after the start of the campaign is given by the following equation.
P(t) =
19t
t2 + 90
+ 0.14
(a) Find the rate of change of P when
t = 6.
(Round your answer to three decimal places.)
P'(6) =
Explain its meaning.
In the next month the recognition will decrease about |P'(6)| percent.
In the next |P'(6)| months the recognition will decrease about 1%.
In the next |P'(6)| months the recognition will increase about 1%.
In the next month the recognition will increase about |P'(6)| percent.
The rate of change of P when t = 6 is approximately 0.037.
places.)
To find the rate of change of P when t = 6, we need to take the derivative of P with respect to t and then evaluate it at t = 6.
P(t) = 19t/(t^2 + 90) + 0.14
Using the quotient rule, we can find the derivative of P:
P'(t) = [19(t^2 + 90) - 19t(2t)] / (t^2 + 90)^2
P'(6) = [19(6^2 + 90) - 19(6)(2(6))] / (6^2 + 90)^2
P'(6) = [19(216) - 456] / (216 + 90)^2
P'(6) = 342 / 9216 ≈ 0.037
Therefore, the rate of change of P when t = 6 is approximately 0.037.
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Simplifying Perfect Roots
Quiz Active
4
5 6
7
8
9
Which expression is equivalent to $/32x10-15?
25-10
2x1²23
65-10
6x²3
10
Answer: 10
Step-by-step explanation:
May you help me please I am stressed and struggling
Answer:
2x+4+3x+4
5x+8
2(2x+4)+x
Step-by-step explanation:
• 2x+4+3x+4 would be equal to 5x+8
because you will group like terms: 2x+ 3x=5x and 4+4=
• 2(2x+4)+x
multiple what's outside the bracket by what's inside .
4x+8+x
4x+x =5x and 8
sooo 5x+ 8
Hope this helps
Qa.) State the contrapositive of the following implication. If G is a connected planar graph then G has at least one vertex of degree <= 5.
Qb.) Prove the contrapositive stated in part (a). Hint: use the fact that if G is a connected Planar graph , then e <= 3v-6.
Qc.) Use part (a) to show that every planar graph can be colored with 6 (or less) colors. Hint: Use a proof by Induction on the number of vertices G.
We assume that G is a connected planar graph with no vertex of degree <= 5. We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices. Let d be the maximum degree of G.
Qa. Contrapositive of an implication is a new implication formed by negating both the hypothesis and the conclusion.
The contrapositive of the implication "If G is a connected planar graph, then G has at least one vertex of degree <= 5" is "If G has no vertex of degree <= 5, then G is not a connected planar graph."
Qb. Proof: We assume that G is a connected planar graph with no vertex of degree <= 5.
We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices.
Let d be the maximum degree of G. Since G has no vertex of degree <= 5, then d >= 6.
Thus, the sum of degrees of all vertices in G is greater than or equal to 6v/2, which is equal to 3v.
Hence, 2e >= 3v.
Substituting this inequality in e <= 3v - 6, we get 2e >= 3e - 6, which implies that e >= 6.
Since e >= 6, it follows that G is not planar.
Qc. Proof: We use proof by induction on the number of vertices of G. For a graph with one vertex, the statement is trivially true.
For a graph with n > 1 vertices, assume that every planar graph with at most n - 1 vertices can be colored with 6 (or less) colors.
Let G be a planar graph with n vertices.
By part (a), there exists a vertex v of G with degree <= 5.
We remove v and all its edges from G to get a new graph G' with n - 1 vertices.
By the induction hypothesis, we can color G' with 6 (or less) colors.
We add back v and its edges to G.
Since v has degree <= 5, at most 5 colors are used on its adjacent vertices.
We use a new color for v.
Thus, G can be colored with 6 (or less) colors.
Therefore, by induction, the statement is true for all planar graphs.
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¿Cuál de los siguientes números NO es un decimal periódico?
A.
11
30
B.
11
400
C.
11
600
D.
111
90
El número decimal que no es un decimal periódico es dado por:
B. \(\frac{11}{400}\).
¿Que es un número decimal periódico?Un decimal periódico es un número decimal en el que la misma secuencia de dígitos se repite indefinidamente.
La conversión de las fracciones para decimales són:
11/30 = 0.366666 -> Periódico.11/400 -> 0.0275 -> No es periódico.11/600 -> 0.018333333 -> Periódico, en razón de lá repetición de el 3.11/90 = 0.1222222 -> Periódico.Puede-se aprender más a cerca de números decimales periódicos en https://brainly.com/question/1192529
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the paths from one location to another are straight lines. one unit on the coordinate grid equals 10 yards. betsy starts at location 1 and goes to location 2, then location 3, and then location 4, and then returns back to location 1. what is the total distance betsy has traveled?
According to the given statement Betsy has traveled a total distance of 60 yards.
To find the total distance Betsy has traveled, we need to calculate the distance between each location and sum them up.
Given that one unit on the coordinate grid equals 10 yards, we can determine the distance between each location by finding the difference in their coordinates and multiplying it by 10.
The coordinates for Betsy's path are:
Location 1: (0, 0)
Location 2: (1, 0)
Location 3: (2, 0)
Location 4: (3, 0)
The distance between Location 1 and Location 2 is 1 unit, which is equal to 1 * 10 = 10 yards.
The distance between Location 2 and Location 3 is also 1 unit, which is equal to 1 * 10 = 10 yards.
The distance between Location 3 and Location 4 is 1 unit, which is equal to 1 * 10 = 10 yards.
To return back to Location 1, Betsy will need to travel from Location 4 to Location 1.
The distance between these two locations is 3 units, which is equal to 3 * 10 = 30 yards.
Summing up the distances:
10 yards + 10 yards + 10 yards + 30 yards = 60 yards
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Suppose two trains, say A and B are initially 125 miles apart on the same east-west track. Train A is initially to the west of train B. Train A begins to head due east at 25 mph, and train B begins to head due west at 20 mph. To the nearest minute, how long will it take for the two trains to collide?
Answer:
\(167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}\)
Step-by-step explanation:
Distance between the two trains is 125 miles.
So, when they will collide they would have covered a distance of 125 miles together.
The time that will pass for both the trains will be same but the distances covered will be different as their speeds are different.
\(\text{Distance}=\text{Speed}\times \text{Time}\)
\(25t+20t=125\\\Rightarrow t=\dfrac{125}{45}\\\Rightarrow t=\dfrac{25}{9}\ \text{hours}=\dfrac{25}{9}\times 60\times 60=10000\ \text{s}=166.67\ \text{minutes}\\\approx 167\ \text{minutes}\\=166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}\)
\(167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}\)
Find the area of each sector. Photo attached
Answer:
Area of sector: 48π in^2; Option D
Step-by-step explanation:
~ We can see that the bolded portion of the circle must be the the sector that we need to compute the area of... ~
Let us plan out this problem. If we were to find the area of the circle provided a radius of 12 inches, we could create a proportionality between the degree of the sector, and the degree of the circle ( 360 ) and the area of the sector and the area of the circle.
1. To calculate the area of this circle, let us apply the formula πr^2, such that r is 12 inches ( and let us keep π in terms of π ) ⇒ π * ( 12 )^2 ⇒ 144 * π ⇒ Area of Circle: 144π
2. Let us see this as a proportionality:
Degree of sector/ Degree of circle = Area of sector/ Area of circle
3. Now let us say x ⇒ Area of the sector. Substitute values into this formula, and solve for x through algebra:
120 / 360 = x / 144π,
120 * 144π = 360 * x,
17,280π = 360 * x,
x = 17,280π / 360,
Area of sector: 48π in^2
How many lines of symmetry does a hexagon have that will reflect it onto itself?
A regular hexagon has six lines of symmetry to map onto itself using reflections.
The number of lines of symmetry a hexagon have that will reflect it onto itself is 6.
The given shape is hexagon.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.
A hexagon has six lines of symmetry. Each line of symmetry is a line that divides the hexagon into two equal halves that are reflections of one another. When all six lines of symmetry are present, the hexagon can be reflected over itself.
Therefore, the number of lines of symmetry a hexagon have that will reflect it onto itself is 6.
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What is 3.5 divided by 16.87 using long division.
Answer:
CORRECT ME IF I'M WRONGStep-by-step explanation:
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