Answer:
I'm pretty sure its A.
Step-by-step explanation:
There would be mirrors reflecting off of each other to get the light to reflect him in a different place
63° x Find the unknown angle measure
Answer:
The angle of the unknown measure is 27°.
Step-by-step explanation:
When we look at this angle, we can see it is a 90° angle. Since we already have 63° of the angle, we just subtract 90° from 63° and we get 27°. Therefore, 27° is our answer.
7. Find the value of x.
Help please??
Answer: which one
Step-by-step explanation:
6 to the negative 4th power times 6 to the 7th power
Answer:
216
Step-by-step explanation:
(6 to the -4th) * (6 to the 7th)
A local pizza shop has a membership program for frequent buyers. The membership costs $15 per month and members get a discounted price of $2 per slice of pizza. Anna purchased a membership to this pizza shop. How much would Anna have to pay the pizza shop if she bought 11 slices of pizza this month? What would be the monthly cost for
x
x slices of pizza?
Answer:
cost of slices=2x
cost=monthly fee+cost of slices
15x+2x
-Hope this helps<3
Answer: Anna would have to pay the pizza shop $37.00.
Step-by-step explanation:
11x2=22
22+15=37.
In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B
According to the information given in the question,
A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population
Simulation A -
Sample size - 100
Trials - 1500
Simulation B -
Sample size - 50
Trials - 2000
Now due to the relation of simulation A and simulation B, they are closely equal-
The total sample size of simulation A= 1500 x 100
= 150000
The total sample size of simulation B = 2000 x 50
= 100000
From the above calculations of simulations A and B, we can see that while comparing the,
Sample Size = Simulation A > Simulation B
Variability = Simulation B < Simulation B
Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.
To learn more about Sampling Simulation questions on mathematics,
https://brainly.com/question/16359096
#SPJ4
In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
A) The centers will roughly be equal, and the variabilities will roughly be equal.
B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.
C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.
E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.
If you have 2 coins, with one being fair and the other having two heads, and you then pick one of the two coins at random with equal probability out of an urn and without looking at both sides to see whether it is fair or not, and then flip it to determine whether you get heads or tails, and then repeating such a process 100 times, for a total of 100 flips. a) Compute the probabilities of getting exactly 60 heads. b) Generalize the result for getting exactly m heads after n flips.
a) Overall probability of getting exactly 60 heads in 100 flips is given by: 0.5 * P(X = 60 | coin A) + 0.5 * P(X = 60 | coin B) = 0.5 * P(X = 60 | coin A). b) The overall probability of getting exactly m heads in n flips is given by: 0.5 * P(X = m | coin A) + 0.5 * P(X = m | coin B).
a) In this scenario, you have two coins: a fair coin (coin A) with a 50% chance of getting heads, and a two-headed coin (coin B) with a 100% chance of getting heads. When picking a coin from the urn, you have an equal probability (50%) of choosing either coin.
Let's compute the probability of getting exactly 60 heads after 100 flips:
1. If you choose coin A (fair coin): The probability of getting 60 heads in 100 flips follows a binomial distribution with parameters n = 100 and p = 0.5. The probability is given by the formula: P(X = 60) = C(100, 60) * (0.5)^60 * (0.5)^40, where C(100, 60) is the number of combinations of 100 flips taken 60 at a time.
2. If you choose coin B (two-headed coin): Since it always lands heads, getting 60 heads in 100 flips is impossible.
Now, we need to consider the probability of selecting either coin A or B. Since there's a 50% chance of selecting either coin, the overall probability of getting exactly 60 heads in 100 flips is given by: 0.5 * P(X = 60 | coin A) + 0.5 * P(X = 60 | coin B) = 0.5 * P(X = 60 | coin A).
b) To generalize the result for getting exactly m heads after n flips, we can follow the same approach:
1. If you choose coin A (fair coin): The probability of getting m heads in n flips follows a binomial distribution with parameters n and p = 0.5. The probability is given by the formula: P(X = m) = C(n, m) * (0.5)^m * (0.5)^(n-m).
2. If you choose coin B (two-headed coin): The probability of getting m heads in n flips is 1 if m = n (as all flips result in heads) and 0 otherwise (if m < n).
The overall probability of getting exactly m heads in n flips is given by: 0.5 * P(X = m | coin A) + 0.5 * P(X = m | coin B).
To learn more about probability click here
brainly.com/question/30034780
#SPJ11
If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?
Answer: 30
Step-by-step explanation:
Given
Polyhedron has (E)58 edges
It has same number of faces and vertices
Using Euler's formula
\(\Rightarrow V-E+F=2\)
where
V=no of vertices
E=no of edges
F=no of edges
Suppose there are x faces
Insert the values
\(\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30\)
Thus, polyhedron has 30 faces.
Answer:
30
Step-by-step explanation:
Determine the value of x.
Answer:
Step-by-step explanation:
find a number that can go into 30 and go and then what ever you get multiply it with five and X will be your answer
• Choose a topic from the list below: Argue why Josef Pieper conception of leisure is the best one in modernity, or instead why it might be a limited conception in comparison to another theory of leisure. • Argue why a life is better with leisure today, and why for the classical Greeks, an absence of leisure meant an absence of a happy life. • Argue why John Dewey and modern liberal thinkers did not agree with Aristotle's ideas on education or on leisure generally. • Argue how modern psychological conceptions of happiness and the classical idea of happiness in Aristotle differ. What was the "Greek Leisure Ideal" and how would it manifest today according to Sebastian De Grazia? What happened to it? • Argue why the liberal arts are so important in education and leisure, and explain its Greek origin and how that is received today. • You must choose from this list, but it can be modified slightly if you have an idea you wish to pursue. The main requirement is that you must contrast at least one ancient thinker and one modern one. • The paper must be well researched and contain a minimum of 6 sound academic sources. • Textbook or course readings may be used, but do not count in this total. DETAILS SCALCET8 1.3.039. 0/1 Submissions Used Find f o g o h. f(x) = 3x - 8, g(x) = sin(x), h(x) =x^2
To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.
The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.
The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.
To know more about Greek visit:
brainly.com/question/30200246
#SPJ11
what's the change in elevation between -85 and -13
One of the legs of a right triangle measures 16 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
12
Step-by-step explanation:
a^2 + b^2 = c^2
(16)^2 + b^2 = (20) ^2
b^2 = 400 - 256
b = \(\sqrt{144}\) = 12
I hope im right!!
The measure of the other leg is 12 cm, which is calculated by Pythagoras' theorem.
What is Pythagoras' theorem?The right-angled triangle's connection between its 3 sides is explained by the Pythagoras theorem, also known as the Pythagorean theorem. The Pythagoras Theory stated that the hypotenuse of a triangle's other 2 sides added together makes up its square.
As per the information provided by the question,
Hypotenuse, h = 20 cm
On one side, let's assume it is P = 16 cm
\(h^2=P^2+b^2\)
20² = 16² + b²
b = √400-256
b = 12 cm
Therefore, the value of b will be 12 cm.
To know more about Pythagoras' theorem:
https://brainly.com/question/343682
#SPJ5
Tính nhẩm:
a, 138^2-38^2 b, (10^2+8^2+6^2+4^2+2^2)- (9^2+7^2+5^2+3^2+1^2)
PLZZZ, giúp vs
Answer:
is there a question?
Step-by-step explanation:
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)
The vertical distance through which the car rises is 16.7 m
What is right triangle?"It is a triangle whose one of the angle is 90°."
What is sine of angle?In right triangle, for angle 'x',
sin(x) = (opposite side of angle x)/hypotenuse
For given example,
Consider the following figure for given situation.
A car travels 120 m along AC.
ΔABC is right triangle with hypotenuse AC.
∠C = 8°
Consider sine of angle C,
\(\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m\)
Therefore, the vertical distance through which the car rises is 16.7 m
Learn more the sine angle here:
https://brainly.com/question/14553765
#SPJ2
PLSS HELP I WILL MAKE BRAIN?
Direct to Coordinates
plot the point A (2, 3) then, plot point b that is 4 right and 5 up from point A.
Plot the point C (9, 7). Then, plot another point D that is 8 left and 2 down from point C.
Answer: here is a pic
Step-by-step explanation:
Help please. I've been thinking for a while.
He following cards are dealt to three people at random, so that everyone gets the same number of cards. what is the probability that everyone gets a red card?
The probability that everyone will get a red card is 0.5.
What probability exactly is?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.The probability is the likelihood that something will happen, to put it simply.The likelihood or likelihood of various outcomes can be discussed when we don't know how an event will turn out.The study of events that fit into a probability distribution is known as statistics.So, the probability that everyone gets a red card:
Probability formula: P(E) = Favourable events/Total number of eventsAs cards are distributed to 3 people, divide both favorable events and total events by 3.Then,
P(E) = Favourable events/Total number of eventsP(E) = (26/3)/(52/3)P(E) = 26/3 × 3/52P(E) = 26/52P(E) = 0.5Therefore, the probability that everyone will get a red card is 0.5.
Know more about probability here:
brainly.com/question/25870256
#SPJ13
what is the value of x in meters? with steps
Answer: D
Step-by-step explanation:
Since triangle ABC is similar to XYZ, their sides are the same but different by a constant.
As we can see, on figure XYZ, the hypotenuse is 5m, on ABC, the hypotenuse is 25m.
On ABC, the hypotenuse was mulitplied by a constant k, in which the result is 25. Hence, k must equal 5 because 5 × 5 = 25.
On XYZ, 2 m is another side that is given. If we multiply by our constant, 5, we will get 10. Therefore, the answer is D.
Three points of a function are graphed. A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30). Which statement describes the function through the points?
Answer:
The function is a direct variation function with a constant of variation of 1.5.
Step-by-step explanation:
I just took the test :/
Answer:
The function is a direct variation function with a constant of variation of 1.5.
Step-by-step explanation:
m_ABC=M_ABD
what is the reason?
Answer:
M=m and cis equivalent to d
Definition of a derivative (limit of the difference quotient)
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
What is derivative?
The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).
The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.
To learn more about derivative visit:
https://brainly.com/question/30403647
#SPJ4
an airplane travels 640 miles from phoenix to san francisco in 4 hours, going against the wind. the return trip is with the wind, and takes only 2.5 hours. find the rate of the airplane with no wind. find the rate of the wind.
The speed of an airplane is 208 miles per hour.
The speed of wind is 48 miles per hour.
The distance covered by airplane against the wind = D = 640 miles
The time taken to cover D distance = T = 2.5 hours
Again
The distance covered by airplane with the wind = d = 460 miles
The time taken to cover d distance = t = 2 hours
Let The speed of the airplane = x mile per hour
and the speed of wind = y miles per hour
we know that -
∵ Speed = distance/ time
speed of airplane while moving against the wind
x - y = D/T
Or, x - y = 640/4
Or, x - y = 160 mph ........1
speed of airplane while moving with the wind
x + y = d/t
Or, x + y = 640/ 2.5
Or, x + y = 256 mph ........2
Now, Solving eq 1 and eq 2, we get,
(x - y) + (x + y) = 160mph + 256mph
Or, (x + x) + ( - y + y) = 416 mph
Or, 2 x + 0 = 416 mph
∴ x = 416/2
i,e x = 208 mph
So, The speed of airplane = x = 208 miles per hour
Now, substitute the value x = 208 in equation 1, we get,
∵ x - y = 160mph
So, 208 mph - y = 160 mph
Or, y = 208 mph - 160 mph
i.e y = 48 mph
So, The speed of wind = y = 48 miles per hour
Hence, The speed of an airplane is 208 miles per hour and the speed of wind is 48 miles per hour.
Read more about speed:
brainly.com/question/24739297
#SPJ4
Andre sells vegetables for a farmer at the local market the farmer pays him $50 a day plus a 9% commission on his sales. On Saturday, he had $130 in sales. Andre wants to know how much he will be paid for his work on Saturday
If Andre had $130 in sales, then the amount that Andre will be paid for his work on Saturday is $61.70.
In order to calculate Andre's pay for Saturday, we add his base pay of $50 to his commission on sales.
First, we need to calculate Andre's commission on sales.
Andre's commission in sales is = 9% of his sales,
So, his commission is calculated by multiplying his sales by 0.09,
⇒ Commission = 0.09 × $130 = $11.70,
Now we can add his commission to his base pay to find his total pay for Saturday:
So, Total pay = Base pay + Commission = $50 + $11.70 = $61.70,
Therefore, Andre will be paid $61.70 for his work on Saturday.
Learn more about Sales here
https://brainly.com/question/29060927
#SPJ4
What are the zeros of f(x) = x2 - 12x+ 36?
A. X = -4 and x = 9
B. x = -6 only
C. x= -6 and x = 6
D. x = 6 only
Answer:
D
Step-by-step explanation:
x^2-12x+36
type into desmos and see where it touches the the line
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel). Find P(Girl | K-name)
Answer:
2/3
The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.
Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:
P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3
Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.
In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).
We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.
The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.
To know more about conditional probability visit:
brainly.com/question/10567654
#SPJ11
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 74.5 Mbps. The complete list of 50 data speeds has a mean of x= 17.34 Mbps and a standard deviation of s= 20.79 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]?
a. The difference between the highest data speed (74.5 Mbps) and the mean of all 50 data speeds (17.34 Mbps) is:
74.5 - 17.34 = 57.16 Mbps
b. To find the number of standard deviations, divide the difference by the standard deviation:
57.16 / 20.79 = 2.75
So, the difference of 57.16 Mbps is 2.75 standard deviations from the mean.
Mbps known as for “Megabits per second.” This is the standard measure of “speed” or “bandwidth” on home internet connections.
It finds how many bits (units of digital information) can be transferred each second. You’ll normally see speeds ranging from 10-1,000 Mbps advertised for home internet plans.
To know more about Megabits:
https://brainly.com/question/2426708
#SPJ4
Decide if each equation has 0,1, or 2 solution and explain how you know.
1. x² - 144 = 0
2. x² + 1440
3.x (x - 5) = 0
4. (x-8)² = 0
5. (x+3)(x + 7) = 0
There are two solutions: x = -3 and x = -7.
Let's analyze each equation to determine the number of solutions and provide explanations:
x² - 144 = 0
This equation can be rewritten as (x - 12)(x + 12) = 0. It is a quadratic equation in the form of (x - a)(x + a) = 0, where a is a constant. In this case, a = 12.
Since we have two factors that multiply to give zero, either (x - 12) = 0 or (x + 12) = 0 must be true for the equation to hold.
Thus, there are two solutions: x = 12 and x = -12.
x² + 1440
This equation does not contain an equal sign, so it is not an equation. It is an expression. Therefore, it does not have any solutions.
x (x - 5) = 0
This equation is a product of two factors equal to zero. Either x = 0 or (x - 5) = 0 must be true for the equation to hold. Thus, there are two solutions: x = 0 and x = 5.
(x - 8)² = 0
This equation is a perfect square trinomial. The square of any number is always non-negative, and it only equals zero when the number itself is zero. Thus, the equation (x - 8)² = 0 has only one solution: x = 8.
(x + 3)(x + 7) = 0
This equation is a product of two factors equal to zero. Either (x + 3) = 0 or (x + 7) = 0 must be true for the equation to hold. Thus, there are two solutions: x = -3 and x = -7.
To summarize:
x² - 144 = 0 has two solutions: x = 12 and x = -12.
x² + 1440 does not have any solutions.
x (x - 5) = 0 has two solutions: x = 0 and x = 5.
(x - 8)² = 0 has one solution: x = 8.
(x + 3)(x + 7) = 0 has two solutions: x = -3 and x = -7.
For more such questions on solutions , Visit:
https://brainly.com/question/25907410
#SPJ11
PLEASE HELP
A two feet tall wheelchair ramp is placed from a sidewalk to the main door of a library. If the length of the ramp is 16 feet, how far away is the bottom of the ramp from the sidewalk?
Answer:
Distance from bottom to side walk = 15.87 feet (Approx.)
Step-by-step explanation:
Given:
Height of ramp = 2 feet
Length of ramp = 16 feet
Find:
Distance from bottom to side walk
Computation:
Height of ramp (perpendicular) = 2 feet
Length of ramp (hypotenuse) = 16 feet
Distance from bottom to side walk (Base)
Base = √hypotenuse²- perpendicular²
Base = √16²- 2²
Base = √256 - 4
Base = √252
Base = 15.874
Distance from bottom to side walk = 15.87 feet (Approx.)
Latoya, michael, and juan have a total of $119 in their wallets. michael has $5 more than latoya. juan has 4 times what latoya has. how much does each have
In ADEF, the measure of ZF=90°, ED = 65, FE = 56, and DF = 33. What is the valueof the sine of ZD to the nearest hundredth?
ANSWER
sin ∠D = 0.86
EXPLANATION
The sine of an angle of a right triangle is:
\(\sin \theta=\frac{\text{ opposite side}}{\text{ hypotenuse}}\)This is triangle DEF:
So the sine of angle D is side EF divided by side DE:
\(\begin{gathered} \sin \angle D=\frac{EF}{DE} \\ \sin \angle D=\frac{56}{65} \\ \sin \angle D\approx0.86 \end{gathered}\)Need some help with math
The line that the angle has been reflected across is the line y = x + 1. This line passes through the midpoint of each segment joining a point and its image, and is perpendicular to these segments.
Describe Graph?A graph is a mathematical representation of a set of objects, called vertices or nodes, and the connections between them, called edges or arcs. Graphs are commonly used to model relationships between entities in various fields such as computer science, mathematics, physics, social sciences, and many others.
To determine the line that the angle has been reflected across, we need to find the line of reflection, which is the perpendicular bisector of the segment joining each point and its corresponding image.
We can start by finding the midpoint of the segment joining A and A', which is the point that is equidistant from these two points and lies on the line of reflection. The midpoint of AA' is:
Midpoint of AA' = ((x-coordinate of A + x-coordinate of A')/2, (y-coordinate of A + y-coordinate of A')/2)
Midpoint of AA' = ((4 + (-5))/2, (5 + (-4))/2)
Midpoint of AA' = (-1/2, 1/2)
Next, we can find the midpoint of the segment joining B and B':
Midpoint of BB' = ((x-coordinate of B + x-coordinate of B')/2, (y-coordinate of B + y-coordinate of B')/2)
Midpoint of BB' = ((1 + (-2))/2, (2 + (-1))/2)
Midpoint of BB' = (-1/2, 1/2)
We can see that the midpoint of AA' and the midpoint of BB' are the same point, which means that the line joining these midpoints is the perpendicular bisector of both segments, and therefore the line of reflection.
So, the line of reflection is the line passing through the points (-1/2, 1/2) and (-2, -1), which can be found using the slope formula:
slope of line of reflection = (y2 - y1) / (x2 - x1)
slope of line of reflection = (-1 - 1/2) / (-2 - (-1/2))
slope of line of reflection = (-3/2) / (-3/2)
slope of line of reflection = 1
We now have the slope of the line of reflection, and we can find its equation by using the point-slope form:
y - y1 = m(x - x1)
Using the point (-1/2, 1/2) and the slope 1, we get:
y - 1/2 = 1(x + 1/2)
Simplifying, we get:
y = x + 1
Therefore, the line that the angle has been reflected across is the line y = x + 1. This line passes through the midpoint of each segment joining a point and its image, and is perpendicular to these segments.
To know more about reflection visit:
https://brainly.com/question/30811218
#SPJ1