Answer + Explanation:
The Monty Hall problem is a famous problem in conditional probability and reasoning using Bayes' theorem.
How to explain the probability?
In the problem, you are on a game show, being asked to choose between three doors. Behind each door, there is either a car or a goat.
You choose a door. The host, Monty Hall, picks one of the other doors, which he knows has a goat behind it, and opens it, showing you the goat.
You know, by the rules of the game, that Monty will always reveal a goat. Monty then asks whether you would like to switch your choice of door to the other remaining door.
In conclusion, the solution is that switching will let you win twice as often as sticking with the original choice.
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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The rectangular floor of a classroom is 38 feet in length and 20 feet in width. A scale drawing of the floor has a length of 19 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer:
58 in
Step-by-step explanation:
38 divided by 19 = 2
20 divided by 2 = 10
19 x 2 = 38
10 x 2 =20
38 + 20 = 58
The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
275 - (Yes or no)
27 1/2 - (Yes or no)
2 3/4 - (Yes or no)
11/4 - (Yes or no)
2.75 - (Yes or no)
From the question we were asked to find the equivalent of 275%
A percentage of a number is that number obtained when it is broken up into 100 parts
Therefore,
We have to divide 275 by 100 and reduce to its lowest term
275%=
\(\begin{gathered} =\frac{275}{100} \\ =2\frac{75}{100} \\ \text{reducing to the lowest term we have by dividing by 25 we w}ill\text{ have} \\ =2\frac{3}{4} \\ \text{changing to decimal we have ,} \\ =2.75 \end{gathered}\)If we change
\(\begin{gathered} 2\frac{3}{4\text{ }} \\ to\text{ a mixed fractrion we have,} \\ \frac{4\times2+3}{4}=\frac{8+3}{4}=\frac{11}{4} \end{gathered}\)We can therefore conclude that the question has multple answers with a YES.
\(\begin{gathered} 2\frac{3}{4}\text{ (YES)} \\ \frac{11}{4\text{ }}\text{ (YES)} \\ 2.75\text{ (YES)} \\ \text{While the rest of the option are NO} \\ 275\text{ (NO)} \\ 27\frac{1}{2}\text{ (NO)} \end{gathered}\)A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many
solutions, which statement must be true?
A) On the graph, there are no points (z, y) that satisfy both equations.
B) On the graph, there is exactly one point (z,y) that satisfies both the equations.
C) On the graph, any point (z,y) that satisfies one of the equations cannot satisfy the other equation.
D) On the graph, any point (z,y) that satisfies one of the equations must also satisfy the other equation.
2x + 2x + 2 = 4x + 2
one solution
no solutions
all real solutions
0 x = 8
HELP
Answer:
no solution
Step-by-step explanation:
2x+2x+2=4x+2
4x+2=4x+2
4x-4x=2-2
0=0
Answer:
x=8
Step-by-step explanation:
34=34, always true
In Bridget's class, 35% of the students chose pizza as their favorite food. If 14 of the students chose pizza as their favorite food, how many students are in the class?
Answer:
40 students are in the class :)
Step-by-step explanation:
35%=14
1%=14/35=0.4
0.4*100=40=100%
Please help ASAP!!!!
Answer:
The top one (✿◠‿◠)
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
A bug crawls 5 1/2 feet in 28.6 seconds. At that pace, how many seconds does it take the bug to crawl one foot?
Answer:
5.2 seconds
Step-by-step explanation:
To get one foot, we need to divide by 5.5
Set up a proportion:
\(\frac{5.5}{5.5}=\frac{28.6}{5.5}\)
Solve:
\(1ft.=5.2secs.\)
The function h(x) is defined as shown.
What is the range of h(x)?
h(x) =
x + 2, x <3
- x +8. X23
0-00
Oh(x) s 5
Oh(x) 25
Oh(x) 23
PLEASE HELOOOOODOOOOODIEIE
9514 1404 393
Answer:
(b) h(x) ≤ 5
Step-by-step explanation:
The maximum vertical extent of the graph is h(x) = 5 at x = 3. The range is all values of h(x) less than or equal to that:
h(x) ≤ 5
Answer: Choice B
The range is \(h(x) \le 5\)
==============================================================
Explanation:
If we graph y = x+2, but only draw the line for x values smaller than 3, then we'll end up with the red line shown in the diagram below.
The blue line is the graph of y = -x+8, but it's only drawn when \(x \ge 3\)
The two lines form an upside down V shape. This is an absolute value graph.
The highest point is at the vertex (3,5). The y coordinate is y = 5. This tells us that the largest h(x) can get is h(x) = 5.
Therefore, the range is \(h(x) \le 5\)
This is the same as saying \(y\le 5\) since y and h(x) are both outputs of a function.
Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. What is the probability that (a) card taken out is an even number (b) the selected number is their average (c) the number is divisible by 2 or 3 (d) the number is divisible by 2 and 3 (e) number is divisible by 5.
Answer:
The probability that:
(a) a card taken out is an even number is 9/17
(b) the selected number is their average is 0 because there are no two numbers in the set whose average is an integer.
(c) the number is divisible by 2 or 3 is 11/17
(d) the number is divisible by 2 and 3 is 3/17
(e) number is divisible by 5 is 3/17
someone please answer this its confusing me
What is the result when the number 66 is decreased by 8%?
Answer:
60.72
Step-by-step explanation:
Simply if you can, use a calculator and do one of two things. First off, the easier way, you can do 92% of 66, which is 60.72, the more difficult way is to find 8% of 66 which is 5.28, and then subtract 66 by 5.28 which is 60.72. Hope this helps
!
plss do the working
Answer:
1386
Step-by-step explanation:
V=πr²*h
V=22/7*7²*9
V=1386
Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?
9514 1404 393
Answer:
24 oz Asian Treasure36 oz ParadiseStep-by-step explanation:
The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...
(6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea
The remaining 60-24 = 36 ounces will be Paradise tea.
__
Using an equation
You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...
7.50a +5.00(60 -a) = 60(6.00)
(7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side
(7.50 -5.00)a = 60(6.00 - 5.00) . . . . . . subtract 60(5.00)
a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'
Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.
Given f(x) = 8(12 − x) — 5, what is the value of f(-2)?
Answer:
f(2)=8(12-x)-5
=8(12-2)-5
f(2)=8(10)-5
=75
A car dealership has 54 cars and SUVs for sale. There are 7 more SUVs than cars. Which system of equations can be used to find the number of cars (x) and the number of SUVS (y) at the dealership?
Answer:
x + Y = 54
y - x = 7
Step-by-step explanation:
There are 54 cars and SUVs in all. So, the sum of SUVs and cars is 54. There are 7 more SUVs than cars, so the number of SUVs (y) minus cars (x) is 7.
consider the following equation x + 6y = 18
determine the missing coordinate in the the ordered pair (3,?) so that it will satisfy the equation.
Justin has 58 stickers. If he gives 8 stickers to each of his 7 friends, how many stickers will Justin have left?
Answer:
2 stickers
Step-by-step explanation:
We multiply his 7 friends by 8 (stickers given to each friend) to get 56 stickers given total.
We subtract 56 from 58 to get 2 stickers remaining for Justin.
Step-by-step explanation:
Justin is giving out 8 stickers to 7 of his friends
To find out how many stickers he passed out, you would need to do 7×8
7×8 = 56
Now you want to subtract 56 from 58 to figure out how many stickers he had left
58 - 56 = 2
Justin is left with 2 stickers
I am sorry if this didn't make sense
I hope this helps!!!!
Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20-to-34 age group are approximately normally distributed with μ = 110 and σ = 25. What percent of people aged 20 to 34 have IQs between 125 and 150?
The percentage of people aged 20 to 34 that have IQs between 125 and 150 of people aged 20 to 34 have IQs between 125 and 150 is 21.94%
What is percentage?Percentage simply means a proportion of the number as a fraction of 100
What percent of people aged 20 to 34 have IQs between 125 and 150?
Let X = Scores on the standard IQ test for the 20 to 34 age group
This implies that X ~ Normal(x=110, б² = 25)
The z-score probability distribution for the normal distribution is given by; Z = (x-ц)/б ~ N(0,1)
Recall that population mean = 110 and standard deviation = 25
Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X 125)
P(X < 150) = P( < ) = P(Z < 1.60) = 0.9452
P(X 125) = P( ) = P(Z 0.60) = 0.7258
The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.
Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%
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Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
write an algebraic expression for each phrase
a number n divided by 4.
A bowl contains a mixture of r red and b brown candies. Find values of r and b so that there is exactly a 50 percent chance that the colors of two randomly chosen candies will not match. There are many possibilities, including r = 15 and b = 10. Verify that these values work, then find other values for r and b (besides r = 10 and b = 15) that are consistent with this information. You could try small values for r
and b.
There are two possible sets of values for r and b that satisfy the condition: r = 1 and b = 2, and r = 4 and b = 3.
Now to find the values of r and b such that there is exactly a 50% chance that two randomly chosen candies will not match, we need to set up the following equation:
(r/b) x ((b-1)/(r+b-1)) + ((b/r) x (r-1)/(r+b-1)) = 1/2
Simplifying this equation, we get:
\(2r^2 - 2rb + 2b^2 - 3r + 3b = 0\)
We can solve for r in terms of b using the quadratic formula:
\(r = (2b ± √(4b^2 - 4(2b^2 - 3b))) / 4\)
Simplifying this expression, we get:
\(r = (b ± \sqrt{(5b^2 - 12b))} / 2\)
Since r and b must be positive integers, we can try small values of b and see if we get integer values for r. For example, if we let b = 2, then:
\(r = (2 ±\sqrt{ (5(2)^2 - 12(2))) } / 2\)
r = (2 ± √4) / 2
r = 1 or 3
So, if there are 2 brown candies and 1 or 3 red candies, there is a 50% chance that two randomly chosen candies will not match.
Similarly, if we let b = 3, then:
\(r = (3 ± \sqrt{(5(3)^2 - 12(3)))} / 2\)
r = (3 ± √21) / 2
Since the square root of 21 is irrational, we cannot get integer values for r in this case. However, we can use a decimal approximation for √21 to get approximate values for r. For example, if we use √21 ≈ 4.58, then:
r ≈ (3 ± 4.58) / 2
r ≈ 3.79 or 0.21
Since r must be a positive integer, the only possible solution is r = 4 and b = 3.
Thus, we have found two possible sets of values for r and b that satisfy the condition: r = 1 and b = 2, and r = 4 and b = 3.
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Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.8. They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. What is the probability that the students will have their homework checked and take a pop quiz on a randomly chosen day?
0.48
0.54
0.72
0.80
Answer:
A) 0.48
Step-by-step explanation:
The probability that Mrs. Barnes does not check homework if the students take a pop quiz will be 0.77.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.
They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.
Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be =
P = 0.42 x 0.6 + 0.58 x 0.9
P = 0.252 + 0.522
P = 0.774 ≈ 0.77
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Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+2t+39
Will the ball reach height of 41 meters. What is the discriminate?
Please help me, please
Answer:
The ball will not reach a height of 41 meters.
The discriminate is 784
Step-by-step explanation:
You know that the height h of the ball, in meters, at time t seconds is modeled by the function h(t) = - 5*t² + 2*t + 39
To find out if the ball will reach a height of 41 meters, you must calculate the maximum of the function, that is, the highest or highest point on the graph. That is, the maximum in a function f is the largest value that the function takes.
The vertex is a point that is part of the parabola, which has as its ordinate the maximum value (as in this case) or minimum value of the function. That is, the vertex is the maximum of the function (as in this case) or minimum.
In this case, the maximum of t is obtained by:
\(t=\frac{-b}{2*a}\)
Being a=-5 and b=2 (comparing with a quadratic function of the form: f(x)=a*x² + b*x +c)
\(t=\frac{-2}{2*(-5)}\)
t= 0.2
The maximum height value must be obtained by substituting the previously calculated value of t in the function:
h(0.2) = - 5*0.2² + 2*0.2 + 39
h(0.2)=39.2
So the maximum height the ball will reach is 39.2 meters. The ball will not reach a height of 41 meters.
The discriminate of a quadratic function is:
Δ=b²-4*a*c
In this case, being a=-5, b=2 and c=39, the discriminate is:
Δ=2²-4*(-5)*39
Δ= 4+780
Δ= 784
The discriminate is 784
The first derivative test is the process of analyzing functions using their first derivatives in order to find their extreme point.
No, ball can not reach at height of 41 meters.
Since, The height h of the ball, in meters, at time t seconds is modeled by the function \(h(t)=-5t^2+2t+39\)
To find maximum height where can ball reach. We use first and second derivative test.
\(h(t)=-5t^2+2t+39\\\\\frac{dh}{dt}=-10t+2\)
Now, equate above derivative to zero.
\(-10t+2=0\\\\t=1/5\)
Now, find second derivative
\(\frac{d^{2}h }{dt^{2} } =-10\) , Which is less than zero.
Therefore, at t= 1/5 second , will give maximum height that can ball reach.
So, h(1/5) = 39.2 meters.
That is, ball can reach at 39.2 meters.
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the probability of the event that 0
Answer:
basically the even twill not happen as the probability of that is 0
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
please help me with this
Answer:
its 18
Step-by-step explanation:
6x3=18
If an interior angle of a regular polygon has a measure of 120 degrees, how many sides does it have?
Step-by-step explanation:
The formula to find the interior angle of a polygon is 180(n - 2) over n.
So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.
Now we use algebric method to solve for n.
180n − 360 = 120n
60n = 360
n = 6
So, the answer is = 6 sides