In ΔWXY, the measure of ∠Y=90°, WX = 67 feet, and XY = 41 feet. Find the measure of ∠X to the nearest degree.
Answers
Answer:
52 degrees
Step-by-step explanation:
Related Questions
You look over the songs in a jukebox and determine that you like 14
of the 53 songs.
(a) What is the probability that you like the next four songs that are played? (Assume song cannot be repeated.)
(b) What is the probability that you do not like the any of the next four songs that are played? (Assume song cannot be repeated.)
Answers
The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
As per the given,
Total songs = 53
Like songs = 14
Probability of selecting and liking the first song = 14/53
Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52
Probability of selecting liking the second song = 13/52
Probability of selecting liking the third song = 12/51
Probability of selecting liking the fourth song = 11/50
a)
The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.
b)
The probability of not liking the next four songs =1 - The probability of liking all songs
The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.
Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".
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For a standard normal random variable, what z-score has(a) probability 0.225 to the right?(b) probability 0.900 to the left?
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The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.
(a) Probability 0.225 to the right is equal to z-score 0.15.
This can be calculated using the Z-score table for a standard normal distribution.
The probability to the right of z-score is equal to the cumulative probability of the z-score.
The cumulative probability of 0.15 is 0.225, which is the probability to the right.
(b) Probability 0.900 to the left is equal to z-score -1.28.
This can be calculated using the Z-score table for a standard normal distribution.
The probability to the left of z-score is equal to the cumulative probability of the z-score.
The cumulative probability of -1.28 is 0.900, which is the probability to the left.
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Amber had 6 cousins. Her friend Ashley has 2 fewer than 3 times as many cousins as Amber has. Which expression represents the number of cousins Ashley has?
Answers
Answer:
Cousins Amber has: 6
(Let no. of cousins Amber has be represented as x)
Cousins Ashley has: 3x - 2
(3 X 6)- 2
18-2
16
Answer: 3 x (6 - 2)
Hope this helped! :D
Bailey buys new winter
clothes for $136. She has
to pay 8.25% sales tax
on her purchase. How
much is the sales tax
for her new clothes?
Your answer
Answers
Answer:
$147.22
Step-by-step explanation:
100 + 8.25 = 108.25
136/100 X 108.25 = 147.22
convert this rational number to its decimal format and round to the nearest thousand 1/3
Answers
Answer:
0.333
Step-by-step explanation:
a positive integer divisor of 12! is chosen at random. the probability that the di-visor chosen is a perfect square can be expressed asmn, wheremandnare relativelyprime positive integers. what ism n?
Answers
The probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.
What exactly is meant by probability?Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring.Given: Randomly, a positive integer divisor of 12! is selected.
Prime factorization of 12! = 2¹⁰ × 3⁵ × 5² × 7¹ × 11
Total divisors of 12! = 11 × 6 × 3 × 2 × 2
Each number in the prime factorization must have an even exponent in order to construct a perfect square divisor. In the prime factorization, the divisor cannot have any factors of 7 and 11 because there is only one of each in 12!. There are 6 × 3 × 2 perfect squares as a result.The probability that the divisor chosen is a perfect square is given as:
(6 × 3 × 2)/(11 × 6 × 3 × 2 × 2)
= 1/22
=m/n
Therefore, the probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.
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[6] College presidents receive a housing provision with an annual mean of $50,000. Assume that a normal distribution applies and that the standard deviation is $5,000. A. What percentage of college presidents receive an annual housing provision exceeding $45,000 per year? B. What percentage of college presidents receive an annual housing provision between $39,500 and $47,200 per year? C. Find the housing provision such that 17.36% of college presidents receive an amount exceeding this figure.
Answers
(a) To find the percentage of college presidents receiving an annual housing provision exceeding $45,000 per year, we need to calculate the probability of a value greater than $45,000 based on the given normal distribution with a mean of $50,000 and a standard deviation of $5,000.
(b) To find the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we calculate the probability of a value falling within this range based on the normal distribution.
(c) To determine the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we find the corresponding value of the housing provision using the cumulative distribution function (CDF) of the normal distribution.
(a) Using the normal distribution, we can calculate the probability of a value exceeding $45,000 by finding the area under the curve to the right of $45,000. This can be done by standardizing the value using the formula z = (x - μ) / σ, where x is the value ($45,000), μ is the mean ($50,000), and σ is the standard deviation ($5,000). Then, we can look up the corresponding z-score in the standard normal distribution table to find the probability.
(b) To calculate the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we need to find the probabilities of values falling below $47,200 and $39,500 separately and then subtract the two probabilities. Similar to (a), we standardize the values and use the standard normal distribution table to find the probabilities.
(c) To find the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we need to find the value that corresponds to the 17.36th percentile of the normal distribution. This can be done by finding the z-score that corresponds to the desired percentile using the standard normal distribution table, and then converting it back to the original scale using the formula x = μ + zσ, where x is the desired value, μ is the mean, z is the z-score, and σ is the standard deviation.
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find the angle measurements:
Answers
The measure of the central angle is equal to the measure of the subtended arc and is given by
a) A = 100°
b) B = 170°
c) C = 60°
Given data ,
Let the circle be represented as A , B and C
where the measure of the subtended arc is given by
A = 100°
B = 170°
C = 60°
Now , The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
And , The measure of the central angle is equal to the measure of the subtended arc
So , the measure of angles are
a) A = 100°
b) B = 170°
c) C = 60°
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Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Answers
Question:
Write an algebraic statement that represents all the ways your player will win. Be sure to define your variable
Answer:
Erica:
\(0 \leq |x - y| < 10\)
Nita:
\(10 < |x - y| \leq 20\)
Step-by-step explanation:
Given
Players: Erica & Nita
Range: 0 to 20
Represent Erica with x and Nita with y
For Erica to win;
The difference between x and y must be less than 10 but greater than or equal to 0
i.e.
\(0 \leq x - y \leq 10\) or \(0 \leq y - x \leq 10\)
These two expressions can be merged together to be:
\(0 \leq |x - y| < 10\)
For Nita to win;
The difference between x and y must be greater than 10 but less than or equal to 20
i.e.
\(10 < x - y \leq 20\) or \(10 < y - x \leq 20\)
These two expressions can be merged together to be:
\(10 < |x - y| \leq 20\)
Evaluate the following iterated integral. \[ \int_{1}^{5} \int_{\pi}^{\frac{3 \pi}{2}} x \cos y d y d x \] \[ \int_{1}^{5} \int_{\pi}^{\frac{3 \pi}{2}} x \cos y d y d x= \]
Answers
The iterated integral \(\int_{1}^{5} \int_{\pi}^{\frac{3 \pi}{2}} x \cos y \, dy \, dx\) evaluates to a numerical value of approximately -10.28.
This means that the value of the integral represents the signed area under the function \(x \cos y\) over the given region in the x-y plane.
To evaluate the integral, we first integrate with respect to \(y\) from \(\pi\) to \(\frac{3 \pi}{2}\), treating \(x\) as a constant
This gives us \(\int x \sin y \, dy\). Next, we integrate this expression with respect to \(x\) from 1 to 5, resulting in \(-x \cos y\) evaluated at the bounds \(\pi\) and \(\frac{3 \pi}{2}\). Substituting these values gives \(-10.28\), which is the numerical value of the iterated integral.
In summary, the given iterated integral represents the signed area under the function \(x \cos y\) over the rectangular region defined by \(x\) ranging from 1 to 5 and \(y\) ranging from \(\pi\) to \(\frac{3 \pi}{2}\). The resulting value of the integral is approximately -10.28, indicating a net negative area.
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a ten foot ladder rests against a vertical wall. the bottom of the ladder slides away from the wall at a rate of 1 ft./s. how fast is the top of the ladder sliding down when the bottom of the ladder is 6 feet from the wall?
Answers
At the speed of 10/3 ft/s the top of the ladder slides down when the bottom of the ladder is 6 feet from the wall
As per given data in question:
A 10-foot ladder is resting against a vertical wall.
The bottom of the ladder is sliding away from the wall at a rate of 1 ft/s.
When the bottom of the ladder is 6 feet from the wall, we have to find out how fast the top of the ladder is sliding down.
Let 'x' be the distance of the top of the ladder from the ground, which is also the vertical height of the ladder.
So, the distance of the bottom of the ladder from the wall will be (10 - x).
Applying the Pythagorean Theorem, we have:
(10 - x)² + x² = 10²
(10 - x)² = 100 - x² or 100 - 20x + x²
(10 - x)²= 100 - x² or 2x² - 20x
(10 - x)² = 0 or x = 10.
So, the vertical height of the ladder is 10 feet.
Now, differentiating both sides of the above equation with respect to time, we get:
(10 - x)² + x² = 10² or 2(10 - x) × (-dx/dt) + 2x × (dx/dt)
(10 - x)² + x² = 0 or -20 + 2x × (dx/dt)
(10 - x)² + x² = 0 or (dx/dt)
(10 - x)² + x² = 20/2x
At the given instant, x = 6.
Substituting this value in the above equation, we get:
(dx/dt) = 20/2 × 6= 10/3 ft/s
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A jar contains quarters and nickels. There are 5 fewer quarters than nickels. The
total value of the coins is $4.45. Which system of equations can be used to
determine the number of quarters, q, and the number of nickels, n?
Answers
Given:
In a jar, there are 5 fewer quarters than nickels.
The total value of the coins is $4.45.
To find:
The system of equations can be used to determine the number of quarters, q, and the number of nickels, n.
Solution:
Let q be the number of quarters and n be the number of nickels.
It is given that there are 5 fewer quarters than nickels.
\(q=n-5\) ...(i)
We know that,
1 quarter = $0.25
1 nickel = $0.05
Using these conversions, we get
q quarters = $0.25q
n nickels = $0.05n
The total value of the coins is $4.45.
\(0.25q+0.05n=4.45\) ...(ii)
The equations (i) and (ii) are equations of required system of equations.
Therefore, the system of equations is:
\(q=n-5\)
\(0.25q+0.05n=4.45\)
Answer question 10 please
Answers
Answer:
16 10 10 6 1 (11).2+2x+3 (a+b) represent 16 10 10 6 1
Can someone please tell me how to expand and simplify 4(x+1)^2?
[ i know now to expand brackets like (x+2)^2, but the 4 confuses me]
Answers
Expand the binomial first, then distribute the 4:
4 (x + 1)² = 4 (x ² + 2x + 1)
… = 4•x ² + 4•2x + 4•1
… = 4x ² + 8x + 4
Una fabrica produce caravanas las envasa en bolsitas de un par cada dos bolsitas usa una cajita azul cada do cajitas azules usa una naranja cada dos cajas naranjas usa una verde si fabrica 500 caravanas cuantas bolsitas cuantas cajitas azuñes cuantas cajas naranjas y cuantas cajas verdes usa
Answers
Answer:
Se utilizan 31 cajas verdes y 62 cajas naranjas, 125 cajas azules y 250 bolsas
Step-by-step explanation:
La pregunta es un problema verbal
Los parámetros dados son;
El número de caravanas por bolsa = 2 caravanas
El número de bolsas en una caja azul = 2 bolsas
El número de cajas azules en una caja naranja = 2 cajas azules
El número de cajas naranjas en una caja verde = 2 cajas naranjas
Por lo tanto;
El número de caravanas en una caja azul = 2 bolsas = 2 pares = 4 caravanas
El número de caravanas en una caja naranja = 2 × 4 caravanas = 8 caravanas
El número de caravanas en una caja verde = 2 × 8 caravanas = 16 caravanas
Por tanto, si la fábrica fabrica 500 caravanas, tenemos;
El número de casillas verdes utilizadas = 500/16 = 31,25 = 31 casillas verdes
El número de cajas naranjas utilizadas = 500/8 = 62 cajas naranjas
El número de cajas azules utilizadas = 500/4 = 125 cajas azules
El número de bolsas utilizadas = 500/2 = 250 bolsas
6. Find the circumcenter of the triangle.
Answers
Circumcentre of a triangle is specified as the point where the perpendicular bisectors of the sides of a given triangle intersect or meet.
In the given figure, we can see we have a triangle with 3 co-ordinates,
Lets name it as a(-1, 1), b( 4, -2) and c(-1,-2)
Assume the circumcentre of ΔABC as 'O'
As 'O' is the circumcentre, we can say that AO² = BO², similarly with CO² = BO2 = AO² ; By distance formula
For AO² = BO²
(x + 1 )² + (y -1)² = (x - 4)² + (y + 2)²
x² + 2x + 1 + y² -2y + 1 = x² - 8x + 16 + y² + 4y + 4
x² + y² + 2x + 8x = x² + y² + 4y + 2y + 16 - 2
10x = 6y + 14
5x - 3y = 7 ......... equation (1)
For BO² = CO²
(x - 4)² + (y + 2)² = (x +1)² + (y+2)²
x² - 8x + 16 + y² + 4y + 4 = x² + 2x + 1 + y² + 4y + 4
16 = 2x + 8x
x = 16/ 10
We will substitute x = 16/10 in equation (1)
5(16/10) - 3y = 7
8 - 3y = 7
y = 1/3
Thus the circumcentre of ΔABC is O(16/10, 1/3)
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A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.
Which is a possible turning point for the continuous function f(x)?
(–2, 0)
(0, –2)
(2, –1)
(4, 0)
Answers
Answer:
(-2,0)
Step-by-step explanation:
x row -6, -4, -2, 0, 2, 4, 6
f row -2, -1, 0, 0, 2, 4, 8
It goes from least to greatest.
Answer:
(-2,0)
Step-by-step explanation: Edu 2020 Unit Test
When your Bob ross beats the devil out of it, how many cats eat the soup but your dogs catch cap, how many seconds?
Answers
Answer:
69
Step-by-step explanation:
Is this pattern a net for the three-dimensional figure?
no
yes
Answers
Answer:
yes
Step-by-step explanation:
2 bases 3 rectangles, folds properly.
In ssa case for an obtuse angle, what is the maximum number of triangles that can be generate with the given information?.
Answers
Using the SSA method, the maximum number of triangles that can be generate is 1.
In the given question,
In SSA case for an obtuse angle, we have to find the maximum number of triangles that can be generate with the given information.
As we know that,
There cannot be a second obtuse angle if the specified first angle is already obtuse since the triangle's angle total would be greater than 180°. As a result, there is only one way to construct the triangle, making SSA a valid congruence theorem when the supplied angle is acute.
So the maximum number of triangles that can be generate is 1.
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For the function f(x)=x3−27x,
its local maximum is ? which occurs at ( ;
its local minimum is ? which occurs at (
Answers
Does this look right?
Answers
Answer:
yes
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
PLEASE HELP
Match each addition operation to the correct sum
Answers
Look at the picture below. Sorry if its hard to understand.
The results for the addition operation are obtained as 84⁵/₉, 6²/₉, -23.24 and 131.87 respectively.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The given problem can be solved as follows,
(a) 45²/₉ + 39³/₉
⇒ 45 + 2/9 + 39 + 3/9
⇒ (45 + 39) + (2/9 + 3/9) = 84⁵/₉
(b) -24⁵/₉ + 30⁷/₉
⇒ -24 - 5/9 + 30 + 7/9
⇒ (-24 + 30) + (7/9 - 5/9)
⇒ 6²/₉
(c) 28.98 + (-52.22)
⇒ 28.98 - 52.22
⇒ -23.24
(d) 56.75 + 75.12
⇒ 131.87
The given arithmetic operation can be matched in the form of table as,
Sum Result
45²/₉ + 39³/₉ 84⁵/₉
-24⁵/₉ + 30⁷/₉ 6²/₉
28.98 + (-52.22) -23.24
56.75 + 75.12 131.87
Hence, the given numbers are added to give result as 84⁵/₉, 6²/₉, -23.24 and 131.87 respectively.
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If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
Answers
When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.
Solving the QuestionWe're given:
Function g has factors (x-7) and (x+6)Therefore, the zeros of the function are 7 and -6.
Answer-6, 7
The zeroes of the function will be equal to ( 7, -6 ).
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
( x- 7 ) ( x+ 6 )As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
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how to calculate quantity produced from fabrication and finishing hours stoneage surfboards question
Answers
To calculate the quantity produced from fabrication and finishing hours for Stoneage Surfboards, you would need to have additional information such as the production rate or efficiency of the fabrication and finishing processes. Without specific data on the production rate, it is not possible to determine the exact quantity produced.
However, if you have the production rate, you can use the following formula:
Quantity Produced = Production Rate × Fabrication and Finishing Hours
For example, if the production rate is 5 surfboards per hour and you have 8 hours of fabrication and finishing time, the calculation would be:
Quantity Produced = 5 surfboards/hour × 8 hours = 40 surfboards
Remember to adjust the units and variables based on the specific information and units of measurement used in Stoneage Surfboards' production processes.
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Given the equation y= 2x - 8, what is the slope and the y-intercept?
Om = 2 and b= 8
O m= 2 and b= -8
m= 8 and b=2
O m= -8 and b= 2
Answers
mx+b !!
x 2 + 8x +12 identify the correct factor
Answers
Answer:
x+6 and x+2 are factors
Step-by-step explanation:
x²+8x+12
(x+6)(x+2)
So x+6 and x+2 are factors of x²+8x+12
PLEASE HELP ASAP!
Select the reason that best supports statement 5 in the given proof.
A. Given
B. Distributive Property
C. Substitution
D. Transitive Property
Answers
Answer:
C Substitution
Step-by-step explanation:
In statement 5, we are substituting statements 3 and 4 into statement 2
Find a2 and a3 for the following geometric sequence:
4, a2, a3, 108
Answers
Answer:
12 and 48
Step-by-step explanation:
Let a be the first term and r be the common ratio.
We know that a = 4, and that ar³ = 4r³ = 108, and thus r = 3.
Therefore
\(a_2=12, a_3=48\)
Graph the solution to this inequality on the number line.
−4m+3>11
Answers
Subtract numbers
-4m>11-3
Evaluate and subtract
-4m>8
Divide by -4
Solution
M<-2
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
