Answer
15/28
Step-by-step explanation:
total no. of students in the class = 15+13
=28
no. of boys = 15
p(boy) =15/28
What conclusions can you make about the figure?
Note that the conclusions that can be made about the above-given figure is that :
Δ PQR ~ ΔPST by the AA Similarity Theorem.
∠PQR ≅ ∠ PST also by the AA Similarity Theorem.
What is the by the AA Similarity Theorem?According to the AA similarity theorem, if two triangles of one triangle are equivalent to two angles of another triangle, then the two triangles are similar. As a result of comparable angles in each triangle, the two triangles are identical.
The three similarity rules are as follows:
AA. : Two comparable angle pairs are equal.
SSS. : Three comparable pairs of sides are proportionate.
SAS. : Two matching side pairs are proportionate, and their corresponding angles are equal.
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PLS HELP ITS DUE TODAY I FORGOT
The number of months that the manufacturer should offer is given as follows:
51.7 months.
How to obtain the amount using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 60, \sigma = 5.2[/tex]
The z-score associated with the 5.6th percentile is given as follows:
z = -1.59.
Hence the amount of time is obtained as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.59 = \frac{X - 60}{5.2}[/tex]
X - 60 = -1.59 x 5.2
X = 51.7 months.
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Complete each problem and show your work Diameter: 12,756 km
Diameter: 12,756 km Radius: 15.25in Circumference: 7in Circumference: 25.92cm
C = C = D = R =
A = A = A = A =
The area of the circle would be 127731695.76 Km².
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the diameter of the circle.
The diameter is -
{d} = 12756 Km
We can write the radius as -
r = {d}/2 = 6378 Km
We can write the area as -
A = 3.14 x 6378 Km x 6378 Km
A = 127731695.76 Km²
Therefore, the area of the circle would be 127731695.76 Km².
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27% of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that the number of adults who would pay more for environmentally friendly
products is (a) exactly two. (b) more than two, and (c) between two and five, inclusive.
(a) P(2) - (Round to the nearest thousandth as needed.)
The Poisson probability law states that the probability of at least two changes every day is 0.0263. Thus, 0.0263% of changes happen twice or more each day.
Who defines probability?The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the value or, alternatively, its distance from zero can make one less confidence in the outcome. The confidence level is based on how close the probability value is, which is calculated using a number range from 0 and 1.
Here,
calculation
The probability distribution function for X is the average number of times the event happens over a specific period of time.
In this experiment, the frequency, or x, at which an event occurs is counted.
The likelihood of the event happening throughout each period is equal.
The number of occurrences in one period is independent of the number in other intervals.
the first step is to set the discrete random variable X to the number of website content updates.
Let's say that there are on average x content changes every day.
The Poisson probability law states that the probability of at least two changes every day is 0.0263.
Consequently, 0.0263% of changes that occur twice or more
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What is the answer to √32^x=4? Solve for x.
Answer: 22.627
Step-by-step explanation:
if I did this right, it would be the reverse equation:
4 * the [tex]\sqrt32\\[/tex]
i apologize if I'm wrong
Which type of Wave has the most energy
Answer: Gamma rays
Step-by-step explanation: Gamma rays have the highest energies and shortest wavelengths on the electromagnetic spectrum.
Is 8 a factor of 63q + 15
Answer:
because it has many factors other than 1 and 18
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
4
Step-by-step explanation:
As the picture shows, there are positives and negatives; adding a positive number with a negative number is the same as subtracting a positive from a positive.
So, 9 + (-5) would be the same as 9 - 5.
Hope I helped!
You have a $100 game card at Dave & Buster's. You know you want to play 2 rounds of ski-ball that costs $2 each and you also know you want to play Dance Dance Revolution three times which costs $2.50 each game. You will spend the remaining money on air hockey, which costs $1.75 per game. What's the maximum number of air hockey games you can play?
The maximum number of air hockey games that can be played out of the $100 game card at Dave & Buster's is 50.
How to find the maximum number of times to play the last game?With a $100 game card, the maximum amount of times to play air hockey is found thus;
After 2 rounds of ski-ball at the cost of $2 per game = $4
After 3 rounds of Dance Dance Revolution at the cost of $2.50 per game = $7.50
If air hockey costs $1.75 per game, then;
$4 + $7.50 = $11.50
$100 - $11.50 = $88.50
Therefore $88.50/$1.75 = 50.5 approximately 50 times.
It will take 50 times to use up the rest of the $88.50 left from the $100 game card if air hockey costs $1.75.
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What is the solution to the system of linear equations x 3y =- 2?
The solution to the system of linear equations x 3y =- 2 is (x, y) = (6, -2).
The solution to the system of linear equations x 3y =- 2 can be found by using a method such as substitution or elimination.
One possible method is substitution, where we solve one equation for one variable in terms of the other, and then substitute that expression into the other equation.
For example, we can solve the equation x + 3y = -2 for x in terms of y: x = -3y - 2. Then we can substitute this expression into the second equation: -3y - 2 + 3y = -2, which simplifies to y = -2.
Then we can substitute this value back into the first equation to find x: x = -3(-2) - 2 = 6.
So the solution to the system of linear equations x 3y =- 2 is (x, y) = (6, -2).
In conclusion, The system of linear equations x + 3y = -2 can be solved by using the method of substitution. By solving one equation for one variable in terms of the other, and substituting that expression into the other equation, we find that the solution to the system is (x, y) = (6, -2).
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what is the y- intercept of y=-2/5x-5
Answer: I believe the y-intercept would be -5
Step-by-step explanation: If you recall, we find the slope using y=mx+b, with M being your slope and B being your y-intercept! I hope that was helpful!
Solve the system of equations using elimination: x-3y=-14x−3y=−14 and x-7y=-26x−7y=−26.
Answer:
2x - 10y = - 40
Step-by-step explanation:
x - 3y = -14
x - 7y = -26
2x - 10y = - 40
What is the property of substitution?
The property of substitution states that if an expression is equal to a second expression, then replacing a part of one expression with the corresponding part of the other expression will also result in an equivalent expression.
Exploring the Property of Substitution in AlgebraThe property of substitution is a fundamental concept in algebra that allows us to manipulate equations and expressions. This property states that if two expressions are equivalent, then replacing a part of one expression with the corresponding part of the other expression will also result in an equivalent expression. This allows us to make substitutions in equations and expressions in order to find solutions. This property is essential when solving equations, since it allows us to replace unknown variables with known values, enabling us to find the solution. It is also important when simplifying expressions, since it allows us to replace parts of the expression with simpler parts in order to find the simplified form.
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Suppose that the relation G is defined as follows Give the domain and range of G Write your answers using set notation. domain- range
Due to the constant value of 0 as well as the leading term 1, the provided polynomial function is a rational function.
An explanation of polynomial functionAn equation's function that only uses ou pas integer exponents or only nonzero multipliers of a variable, as in an equation, quadratic equation, etc., is said to have a polynomial function. A good example is the exponent of the polynomial 2x+5.
Here,
Exponents for the provided polynomial function are positive integers.
The exponent of the positive number 2x is 1.and is a real number with the exponent 5, respectively.
One of the parameters in the function is a real integer like 5, while another is 1.
As a result, the function is described by a polynomial.
It is polynomial because it has a degree of 5.
A polynomial is expressed in standard form by writing the terms in increasing order of words with lower exponents, starting with the term the with highest exponent.
The polynomial has the standard form f(x)=2x+ 1.
consisting of the leading phrase 1 and the constant 0.
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An 9009h2
7 There are almost 40 thousand fourth graders in Mississippi and almost 400 thousand fourth graders in
Texas. There are almost 4 million fourth graders in the United States.
We write 4 million as 4,000,000. How many times more fourth graders are there in Texas than in
Mississippi? How many times more fourth graders are there in the United States than in Texas? Use the
approximate populations listed above to solve.
There are about 4 thousand fourth graders in Washington, D.C. How many times more fourth graders are
there in the United States than in Washington, D.C.?
There are about 1,000 times as many fourth graders in the US as there are in Washington DC.
what is an algebraic expression ?
Algebraic expression can be defined as the combination of constants , variables and operators.
We write 4 thousand as 4,000
We write 40 thousand as 40,000
We write 400 thousand as 400,000
The value of each place is ten times the value of the place immediately to the right.
So:
40,000 is 10 times 4,000
400,000 is 10 times 40,000.
4,000,000 is 10 times 400,000.
Thus, 400,000 = 10 *40,000, and there are about 10 times as many fourth graders in Texas as there are in Mississippi.
Also, 4,000,000 = 10* 400,000, and there are about 10 times as many fourth graders in the US as there are in Texas.
Finally, to go from 4,000 to 4,000,000, we have to multiply by 10 three times. We see that
10*10*10 = 10 * 100 = 1000
Hence, there are about 1,000 times as many fourth graders in the US as there are in Washington DC.
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Helpppppppppppppppppp plssssssssssss
Answer:
Step-by-step explanation:
watch da help vid
Translation problems, please help!!
The rule to describe the translation 5 units left and 10 units up is given as (x, y) ⇒ (x -5, y + 10).
What is translation?A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.
Given that the translation is to the left by 5 units.
When the graph shifts to the left by 5 units the graph shifts on the x-axis, and this is represented as follows:
(x, y) ⇒ (x - 5, y)
When the graph is translated up by 10 units the graph shifts on the y-axis and this is represented as follows:
(x , y) ⇒ (x -5, y + 10).
Hence, The rule to describe the translation 5 units left and 10 units up is given as (x, y) ⇒ (x -5, y + 10).
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Special quadrilateral
Where the above rectangle has the given dimensions, this means that:
m∠1 = 49°
m∠2 = 41°
m∠3 = 41°
∠ADC = 90°
AB = 7.5
BD = 10
CE = 5
What are the properties of a rectangle?The following are the qualities of a rectangle:
A quadrilateral with four equal internal angles is known as a rectangle.A rectangle's opposite sides are equal and parallel to one other.A rectangle's inner angle at each vertex is 90°.The sum of a rectangle's internal angles equals 360°.The diagonals cut each other in half.The diagonals are all the same length.The Pythagorean theorem may be used to calculate the length of the diagonals. (a2 + b2) is the length of the diagonal with sides a and b.A rectangle is sometimes known as a parallelogram because its sides are parallel.Parallelograms are all rectangles, but rectangles are not all parallelograms.1) Since the diagonals cut one other in half, it means that ΔCEB, ΔAED are congruent isosceles triangles. It also means that ΔAEB and ΔDEC are congruent isosceles triangles.
This means that ∠BCE = ∠CEB
Where ∠AEB = 98°
∠ABE = (180-98)/2
= 41°
Thus, m∠1 = 90- 41°
m∠1= 49°
2 and 3) Given that ΔAEB and ΔDEC are congruent isosceles triangles, and ∠AEB and ∠DEC are opposite angles (which are congruent), that means
∠AEB and ∠DEC = 98°
Thus,
m∠2 and m∠3 = (180-98)/2 that is
m∠2 and m∠3 = 41° respectively.
4) ∠ADC = 90° (Property of a rectangle)
5) Given an angle and the hypotenuse, we can find AB. Using the law of sines that is:
AB = AC * Sin ∠DAC
Note that ∠DAC ≅ ∠1
Note that AC = 10 (properties of a Rectangle)
Thus
AB = 10 * Sin 49°
AB = 10 * 0.75470958022
AB = 7.5470958022
AB [tex]\approx[/tex] 7.5
6) BD = 10 [Qualities of a Rectangle]
7 ) CE = 5 [Qualities of a Rectangle]
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What is a 1/3 scale factor?
A 1/3 scale factor is a constant of dilation that is used to change the size of a figure by a factor of 1/3. A dilation is a transformation that changes the size of a figure while preserving its shape.
In a dilation, the scale factor is multiplied by the coordinates of each point on the figure to determine the new coordinates of the dilated figure. If the scale factor is 1/3, then the coordinates of each point on the figure will be multiplied by 1/3, meaning that each point on the figure will be moved one-third as far from the origin as it was before the dilation.
The result of this is that the dilated figure will be smaller than the original figure and will have a scale factor of 1/3. It's important to note that if the scale factor is less than 1, the dilation will reduce the size of the figure and if the scale factor is greater than 1, the dilation will increase the size of the figure.
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Find the area and perimeter of a triangle with ide length of 4 1/5 inche,and 4 2/7 inche
The perimeter of a triangle is about 18.77 inch and the area of a triangle is about 18 [tex]inch^{2}[/tex] .
What is triangle ?
A triangle is a three-sided polygon with three straight sides. The three sides of a triangle are called edges, and the three angles of a triangle are called vertices. The sum of the three angles of a triangle is always 180 degrees.
Have given ,
length of triangle [tex]4\frac{1}{5} ,4\frac{2}{7}[/tex],
perimeter of a triangle = [tex]4\frac{1}{5} +2*4\frac{2}{7}+6[/tex] = 18.77 inch.
Area of a triangle = [tex]\frac{1}{2}*2*4\frac{1}{5}*4\frac{2}{7}[/tex]
⇒ 18 [tex]inch^{2}[/tex].
Hence , The perimeter of a triangle is about 18.77 inch and the area of a triangle is about 18 [tex]inch^{2}[/tex] .
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I'LL DO ANYTHING FOR THE ANSWER!!!
Answer: 1. 55 sq inches
Step-by-step explanation:
add me and mark me brainlyest pls
Answer:
15.5 inches
Step-by-step explanation:
10cm = 3.93701 inches
3.93701 x 3.93701 = 15.50004774
15.50004774 to the nearest tenth is 15.5
Find the midpoint of segment EF (10,-7) and (8,5)
The midpoint of segment EF whose endpoints area at; (10,-7) and (8,5)as required is; (9, -1).
What is the midpoint of.tge segment EF?It follows from the task content that the midpoint of the segment EF is to be determined.
Since the given endpoints of the segment are: (10,-7) and (8,5) and it follows from the midpoint formula that;
Midpoint, M = ( (x₂ + x₁)/2 , (y₂ + y₁) /2 )
On this note, the midpoint of the segment EF as required is;
M = ( (10+8)/2 , (-7 + 5)/2 )
M = (9, -1)
Ultimately, the midpoint of the segment EF is; (9, -1).
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someone answer please!
So on solving the provided question, we can say that in this triangle,
angle B = 90, AC = 13; AB = x 10
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
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here, in this triangle,
angle B = 90
AC = 13
so by Pythagoras theorm
AB = x 10
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What is the quotient of 3 divided by 8?
The quotient of 3÷8 is 0.375
The number 3 is called the numerator or dividend, and the number 8 is called the denominator or divisor.
The quotient of 3 and 8, the ratio of 3 and 8, as well as the fraction of 3 and 8 all mean (almost) the same:
3 divided by 8, often written as 3/8.
The result of 3/8 is a terminating decimal with 3 digits to the right of the decimal point.
3 divided by 8 in decimal = 0.375
3 divided by 8 in fraction = 3/8
3 divided by 8 in percentage = 37.5%
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Its a bit blurry but i need help asap pls
Answer:
4x/7 = product of 4 times x divided by 7
2x-5 = five subtracted by two times the product of x
2(x+5) = two times the product of x and 5
4x+7 = the product of 4 times x and 7
3/x-2 = the last one (too lazy to type lol)
Hope this helps! :)
Which transformation is similar but not congruent to the original figure?A.dilationB.rotationC.reflectionD.translation
Dilation and rotation is a series of transformations that would produce a figure that is similar to the original figure but not congruent with it.
Transformation of dilation and rotation:
Rigid transformations, such as rotations, reflections, and translations, do not alter the size or shape of a figure; rather, they only move it. The congruence is preserved by these hard changes.
However, because dilation alters a shape's size, they are not hard transformations. The ratio of matching sides would be equal to the scale factor used in the dilatation; the form would remain the same, just the size would vary. This would provide us with a comparable but in congruent value.
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You pick a card at random. 4 5 6 7 What is P(less than 7)? Write your answer as a percentage
The probability P(less than 7) is 3/4.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
For the given situation,
The cards are numbered as s = {4,5,6,7}
n(s)=4
The event is probability of picking the cards less than 7
Cards less than 7,
e=4, 5, 6
n(e)=3
Probability of picking the card is given by p(e)=n(e)/n(s)
p(less than 7)=3/4
Hence, the probability P(less than 7) is 3/4.
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plot the image of point C under a dilation about the origin with a scale factor of 1/5
solve for x in this equation below
Answer:
x = -20
Step-by-step explanation:
are opposite angles, therefore equal
6x + 238 = 3x + 178
3x = 178 - 238
3x = -60
x = -60 : 3
x = -20
-------------------------------------
check6(-20) + 238 = 3(-20) + 178
-120 + 238 = -60 + 178
118 = 118
the answer is goodWhich of the following is a solution of the equation 2x 3y 13?
Step-by-step explanation:
Given equations are
2x+3y=13 ....(1)
4x+y=11 .....(2)
multiply the equation (2) by 3, we get
⇒12x+3y=33 .....(3)
Subtract equation (1) from (3) to eliminate y, we get
12x+3y=33
2x+3y=13
− − −
10x=20
⇒x=2
Put this value in equation (1), we get
⇒2(2)+3y=13
⇒4+3y=13
⇒3y=9
⇒y=3
∴ the solution is x=2,y=3.