Based on Paul's batting scores for cricket in a season, his mean score to the nearest whole number is equal to 13.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for the set of scores?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total scores, we have;
F(x) = 17 + 23 + 9 + 0 + 8 + 21 + 12
F(x) = 90.
Now, we can determine the mean score as follows;
Mean score = 90/7
Mean score = 12.86 ≈ 13.
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What is nth formula?
The nth formula of any mathematical expression represents the general formula for the given sequence or series.
nth formula of the given mathematical expression is the way of representing the given sequence or series in standard form.For example nth formula of the arithmetic sequence is given by aₙ= a + ( n - 1 )d.Here aₙ represents the nth term of the sequence.'a' represents the first term of the sequence.'n' represents the number of terms.'d' represents the common difference between the consecutive terms of the sequence.nth term help us to find value of any term without calculating others terms.Therefore, the nth formula is used to represents the mathematical sequence or series in standard form.
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What is the nature of roots of the quadratic equation 2x² √ 5x 1 0?
The roots of the quadratic equation 2x² √5x + 1 = 0 are two complex numbers.
To solve for the roots of the quadratic equation 2x² √5x + 1 = 0, we must first use the Quadratic Formula to solve for x. The Quadratic Formula is x = (-b ± √b²-4ac)/2a. In this equation, a = 2, b = √5, and c = 1. We then simplify the equation to be x = (-√5 ± √(5²-4(2)(1))/2(2). This simplifies to x = (-√5 ± √9i)/4. The two solutions to this equation are x = (-√5 + 3i)/4 and x = (-√5 - 3i)/4. Since both solutions involve complex numbers, the roots of 2x² √5x + 1 = 0 are two complex numbers.
x = (-√5 ± √(5²-4(2)(1))/2(2)
x = (-√5 ± √9i)/4
Root 1: x = (-√5 + 3i)/4
Root 2: x = (-√5 - 3i)/4
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Alex is building a fence in the shape of an equal sided hexagon the total amount of fence available to him is 15 kilometers. How long is each side of the fence in miles?
Each side is 1.55 miles in the fence.
What is fence?
A structure meant to delineate a boundary or prevent escape or intrusion. Particularly: a boundary line or immaterial barrier made of posts, wire, or boards.
Given:
Alex is building a fence in the shape of an equal sided hexagon the total amount of fence available to him is 15 kilometers.
Since, Hexagon has six sides and each side is equal.
So there is 2.5 kilometer to fence each side.
Now to convert kilometer into miles.
Since
1 kilometer = 0.621371 miles
So,
2.5 kilometers = 1.55343 miles
Hence, each side is 1.55 miles in the fence.
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How many terms are there in the expression 5xy 9yz 3zx 5x 4y?
The number of terms that the expression 5xy 9yz 3zx 5x 4y has is 5 terms.
What is an algebraic expression?An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
How to determine terms?To determine the number of terms in an algebraic expression, we only have to count the spaces (addition and/or subtraction symbols) and add the unit, in this way we will have the number of terms.
5xy 9yz 3zx 5x 4y has 4 spaces
4 + 1 = 5 terms.
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What is the value of x in the figure?
Enter your answer in the box.
X =
220
to
The value of x =68
We know that x+22 = 90 because the sum of the two angles is a vertical angle to the right angle and vertical angles are equal.
x+22 =90
Subtract 22 from each side
x+22-22 = 90-22
x =68
In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown.
"How do you find value of x?
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
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Answer: 68
Step-by-step explanation:
Provided the correct answer after places 34 as the answer.
5. Suppose you fill your truck's tank with fuel and begin driving down the highway for a
road trip. Assume that, as you drive, the number of minutes since you filled the tank and
the number of gallons remaining in the tank are related by a linear function. After 40
minutes, you have 28.4 gallons left. An hour after filling up, you have 26.25 gallons left.
Write this equation in SLOPE INTERCEPT FORM.
The equation that represent the situation in slope intercept form is y = -0.1075x + 32.7.
'
How to represent equation in slope intercept form?Equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptAs you drive, the number of minutes since you filled the tank and the number of gallons remaining in the tank are related by a linear function.
After 40 minutes, you have 28.4 gallons left. An hour after filling up, you have 26.25 gallons left.
Let's find the slope.
(40, 28.4)(60, 26.25)
m = 26.25 - 28.8 / 60 - 40
m = -2.15 / 20
m = - 0.1075
Hence, let's find the y-intercept using (40, 28.4)
y = - 0.1075x + b
where
x = number of minutesy = amount of fuel remainingTherefore,
28.4 = -0.1075(40) + b
28.4 + 4.3 = b
b = 32.7
Therefore, the equation of the line is y = -0.1075x + 32.7
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the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively find its total surface area
The total surface area of a cylinder are 1187.35 cm sq.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
We are given the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively.
A = 880
V = 3080
Curved surface area of cylinder = 2πrh
880 = 2π x r x h
rh = 880/ 2π
Volume of cylinder = πr x r x h
3080 = πr x r x h
rh = 3080 / πr
Substitue the values;
880/ 2π = 3080 / πr
440/π = 3080 / πr
r = 3080 / 440
r = 7
Now, rh = 880/ 2π
h = 20.01
The total surface area = 2πr(r + h)
= 2π x 7(7 + 20.01)
= 1187.35 cm sq.
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How can I learn algebra fast?
If you're not motivated, it would take you approximately nine months; however, if you are and can dedicate an hour or two every day to studying, it would only take you about six months.
How quickly can I learn algebra?6 Unknown Methods for Quickly Mastering Algebra
Create your own memory-boosting techniques.One advantage of algebra .math in general, is that the rules never change.Learn shortcuts. familiarise yourself with the calculator. join a study group.get a tutor and encourage your child to ask their teacher for assistance.You may probably self-study Math rather simply as if you were in college with all the free materials available online, including lectures, syllabi, ebooks, and MOOCS. You can go at your own pace, which is the finest part. It's common for algebra to be challenging because we mistakenly think we're learning new material when, in reality, we're just applying language to specific concepts that we already know to be true.
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Polygon ccc has an area of 777 square units. Jennie drew a scaled version of polygon ccc and labeled it polygon ddd. Polygon ddd has an area of 282828 square units. What scale factor did jennie use to go from polygon ccc to polygon ddd?.
19.25 scale factor did jennie use to go from polygon ccc to polygon ddd if Polygon ccc has an area of 777 square units.
What is polygon and examples?
A polygon is a closed shape with straight sides. Rectangles, triangles, hexagons, and octagons are all examples of polygons. The word polygon comes from the Greeks, like most terms in geometry, which they invented. It simply means many (poly) angles (gon).
The area of polygon D is given by:
Ad = k ^ 2 * Ac
Where,
k: scale factor
Ac: area of polygon C
Substituting the values we have:
Ad = (1/2) ^ 2 * (77)
Ad = (1/4) * (77)
Ad = 19.25 square unit
the area of Polygon D is: 28
Ad = 19.25 square units
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At which root does the graph of f x x 5 3 * x 2 2 touch the X axis?
The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
Given: Function f(x) is (x - 5)3(x + 2)2
If a curve touches the x-axis then f(x) = 0
⇒ (x - 5)3(x + 2)2 = 0.
But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.
⇒ (x - 5)3 = 0 and (x + 2)2 = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x = 5 and x = - 2.
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8) Eugene and Kayla each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Eugene spent $87 on 10 daylilies and 9 shrubs. Kayla spent $60
on 5 daylilies and 10 shrubs. What is the cost of one daylily and the cost of one shrub?
A) daylily: $7, shrub: $1
C) daylily: $3, shrub: $6
12
B) daylily: S6, shrub: $3
D) daylily: $3, shrub: $1
i don't know girl i'm so sorry
What kind of sequence is 4/8 16?
It is an Arithmetic sequence
What is Arithmetic sequence?
Arithmetic sequences are collections of integers where the distance between succeeding items is consistently the same.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same. In this case, the difference between the two terms is 16 - 4/8 = 12.
So the sequence could be written as 4/8, 4/8 + 12, 4/8 + 2*12, ... and so on. Each term in the sequence is obtained by adding 12 to the previous term.
Hence, It is an Arithmetic sequence.
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Find the perimeter of the square:
28
Answer:
4×side
Step-by-step explanation:
i hope this helps
What quotient does the model Nestor made represent?
3 groups of cubes. In each group are 2 tens rods and 7 unit cubes.
3.21 ÷ 3 = 1.07
1.47 ÷ 7 = 0.27
0.21 ÷ 7 = 0.03
0.81 ÷ 3 = 0.27
How do you tell if a function grows faster than another?
f(x) g(x) = L = 0, where L is some finite number. This definition implies that if f grows faster than g, then f will eventually be much larger than g. Similarly, if f grows slower than g, then f will eventually be much smaller than g.
Now, According to the question:
f(x) g(x) = L = 0, where L is some finite number. This definition implies that if f grows faster than g, then f will eventually be much larger than g. Similarly, if f grows slower than g, then f will eventually be much smaller than g.
Steps on How to Compare the Rates of Change of Two Functions Using Limits
Step 1: Given the functions f(x) and g(x), compute the limit limx→∞f(x)/g(x).
Step 2: If the limit in Step 1 is a finite constant a≠0, then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x. If the limit in Step 1 is ∞, then the growth rate of f(x) is greater than the growth rate of g(x). If the limit in Step 1 is 0, then the growth rate of g(x) is greater than the growth rate of f(x).
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What are the 3 types of dynamic semantics?
In linguistics, dynamic semantics is a theory of meaning that is based on the idea that the meaning of a sentence is determined by the way it is used in context, rather than by its compositionality. Within dynamic semantics, there are a few different approaches that have been developed. Three types of dynamic semantics are Discourse representation theory, situation semantics and event semantics.
Discourse representation theory: This theory proposes that the meaning of a sentence is determined by its role in the context of a discourse (i.e., a conversation or written text). The meaning of a sentence is represented as a set of constraints on the possible interpretations of the discourse, and the interpretation of the discourse is determined by the way these constraints are resolved.
Situation semantics: This theory proposes that the meaning of a sentence is determined by the way it refers to a particular situation or state of affairs. The meaning of a sentence is represented as a set of conditions that must be satisfied for the sentence to be true in a particular situation.
Event semantics: This theory proposes that the meaning of a sentence is determined by the events or actions it describes. The meaning of a sentence is represented as a set of conditions that must be satisfied for the events or actions described in the sentence to occur.
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En el experimento de la clase de Física, se pone a calentar agua durante 3 minutos y se registra la temperatura. Posteriormente, aumenta la masa del agua, se pone a calentar durante 3 minutos en las mismas condiciones, se observa que la temperatura disminuye. ¿Qué relación existe entre la masa de agua y la temperatura?.
La masa del sistema es inversamente proporcional a la temperatura del mismo. Existe una relación de proporcionalidad inversa.
¿Cuál es la relación entre la temperatura y la masa de un sistema?
En este problema tenemos dos casos de calentamiento sensible en dos muestras de agua, cuya fórmula se describe a continuación:
Q' · Δt = m · c · ΔT
Donde:
Q' - Tasa de transferencia de calor.Δt - Tiempo de calentamiento, en minutos. m - Masa del sistema.c - Calor específico del agua.ΔT - Cambio en la temperatura del sistema.A partir de esta fórmula comprobamos que la masa del sistema es inversamente proporcional al cambio de la temperatura del sistema:
m ∝ 1 / ΔT
En consecuencia, a mayor masa, menor cambio en la temperatura.
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A sociologist is studying the effect of having children within the first 2 years of marriage on the divorce rate. Using hospital birth records, she selects a simple random sample of 200 couples who had children within the first 2 years of marriage. Following up on these couples, she finds that 80 couples are divorced within 5 years. Let p= the population proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years. What is a 90% plus four confidence interval for the proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years?Question options:0.402 ± 0.0880.402 ± 0.0670.402 ± 0.0570.402 ± 0.035
The proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years is [tex]0.4\pm 0.057[/tex].
What is a confidence interval?The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value.
A population mean that sits between an upper and lower interval is frequently stated as a percentage.
Given, Out of 200 couples who have children with 2 years, 80 couples had been divorced within 5 years.
Therefore the proportion of couples who have had children and divorce
= (80/200).
= 0.4.
We know the confidence interval for a population proportion is,
[tex]p = p' \pm z_{\frac{\alpha}{2}} \sqrt{\frac{p'(1 - p')}{n}[/tex].
Now, [tex]z_{\frac{\alpha}{2}[/tex] at 90% confidence interval is 1.645 and n = 200.
Therefore, [tex]p = 0.4\pm 1.645} \sqrt{\frac{0.4'(1 - 0.4)}{200}[/tex].
[tex]p = 0.4\pm 1.645} \sqrt{\frac{0.4\times0.6}{200}[/tex].
[tex]p = 0.4\pm 1.645\times0.0346[/tex].
[tex]p = 0.4\pm 0.057[/tex].
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2. Jasmine goes to Ben and Jerrys to get ice
cream. Her ice cream costs $8.00. She leaves a
20% tip. How much tip did she leave?
Answer:
$1.60
Step-by-step explanation:
20% of $8.00 is actually 0.20 x 8
0.20 x 8 = 1.60
Answer:
$1.60
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20
Second, you need to find out what 20% of your $8.00 meal cost is.This is always done by multiplying 0.20 by $8.00, or
0.20 x $8.00=$1.60.
So, the amount of tip you are going to leave is $1.60.
What are the 3 ways to pass parameters in C++?
There are three parameter-passing modes in C++: by value, by pointer, and by reference.
Now, According to the question:
There are three parameter-passing modes in C++: by value, by pointer, and by reference.
What are the three main parameters?
The three main parameters assessed when calculating the Human Development Index of a place are:
A. Economic parameters.
B. Health parameters.
C. Education parameters.
D. Linguistic parameters.
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Which of the following is equivalent to −2(5p − 2q)?
−10p + 4q
−10p − 2q
−7p + 4q
−7p − 4q
Answer:
A,-10p+4q
Step-by-step explanation:
-2(5p-2q)
-2*5p+(-2*-2q)
-10p+4q
Answer:
[tex] - 10p + 4q[/tex]
is the answer. A
If you reflected the point (x, y) over the line y = x, what would it become?
Answer:
(y, x )
Step-by-step explanation:
under a reflection in the line y = x
a point (x, y ) → (y, x )
n a certain wilderness area 1.4 mountain lions are seen each year, on average. what is the probability that in a given year exactly two mountain lions will be seen in this wilderness area? (assume that sightings are independent from each other and that the probability of seeing a mountain lion stays constant.)
Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.
How does probability work?Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. When an event has a probability of 0, it has no possibility of happening, whereas when it has a probability of 1, it is almost certain to happen. When an event has a probability of 0.45 (45%), there are 45 out of 100 chances that it will occur.
Here,
λ=1.2
=> P(X =x) = [tex]\frac{e^{-\lambda} * \lambda^{x} }{x!}[/tex]
=> P(X=2) = [tex]\frac{e^{-1.4} * 1.4^{2} }{2!}[/tex]
=> P(X=2) = 0.2466 * 1.96 /2
=>P(X=2) = 0.2417
Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.
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How many unique sets of 3 prime numbers exist for which the sum of the numbers is 44?
The unique set of 3 prime numbers for which the sum of the numbers is 44 are {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23}.
What is Prime Number?Prime numbers are the numbers in the set of natural numbers for which 1 and the number itself are the only factors of it.
The numbers which are not prime are called composite numbers.
We have to find the set of 3 prime numbers which on adding yields 44.
Now 44 is a composite number and also an even number.
We also know that adding two odd numbers as well as adding two even numbers always gives the even number.
2 is the only even prime number.
So if we take this set which is not including 2, then by adding odd + odd + odd gives the odd number.
But the answer we needed is 44, which is even.
So this set always contain 2 as one of the prime number.
So by adding the other two prime numbers, we must get 42.
Thus we got,
{2, 5, 37} = 2 + 5 + 37 = 44
{2, 11, 31} = 2 + 11 + 31 = 44
{2, 13, 29} = 2 + 13 + 29 = 44
{2, 19, 23} = 2 + 19 + 23 = 44
Hence the unique 3 set of prime numbers are {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23} for which the sum is 44.
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At what point on the graph is the rate of reaction the greatest?
The instantaneous rate at the beginning of a reaction, or when t = 0, is known as the starting rate of the reaction.
What is rate of Reaction ?The rate at the beginning of the reaction may be determined using the graph of change in product over time or change in reactant over time. The highest rate on the curve is the beginning rate. Since the reactants are concentrated at their highest at the beginning, the most collisions are occurring.
Rates of response can be depicted in graphs. To depict the pace of reaction, we may create a graph of product (or reactant) against time. The pace of reaction will be the gradient of the graph. The pace of response increases with increasing gradient steepness.
The instantaneous rate at the beginning of a reaction, or when t = 0, is known as the starting rate of the reaction. The beginning rate is equal to the slope of the reactant concentration versus time curve at time zero, which is negative.
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Solve pls brainliest
Answer:
In given right angled triangle,
h=30 cm,p=18 cm,b=?
By Pythagoras theorem,
h²=p²+b²
or,b²=h²-p²
or,b²=(30)²-(18)²
or,b²=900-324
or,b=√576
or,b=24 cm
hence, the length of missing side is 24 cm
IF SOMEONE CAN ANSWER BOTH OF THESE QUESTIONS I WILL GIVE YOU 45 points
The value of x is 7.2.
The Perimeter of quadrilateral TWNB is 70.
what is perimeter?
A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.
Given: TWNB ≅ RDHY
NW = 3x,
RD = 5x - 19.6
RY = 2x + 5.6
HD = 5x - 14.4
TW = 3x - 5.2
BN = x + 4.8
We have to find the value of x
As, TWNB ≅ RDHY
⇒ TW ≅ RD, WN ≅ DH, NB ≅ HY, TB ≅ RY
Consider, TW ≅ RD
3x - 5.2 = 5x - 19.6
19.6 - 5.2 = 5x - 3x
14.4 = 2x
x = 7.2
Hence, the value of x is 7.2.
Now to find the perimeter of quadrilateral TWNB.
Perimeter of TWNB = TW + WN + NB + TB
Here,
TW = 3x - 5.2 = 16.4
WN = 3x = 21.6
NB = x + 4.8 = 12
TB = RY = 2x + 5.6 = 20
Hence,
Perimeter of TWNB = 16.4 + 21.6 + 12 + 20 = 70.
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Denzel must practice the piano for 210 min each week. He practices for 30 min each day. Write a linear equation represent the number of minutes denzel still has to practice after x days?.
Answer:
y = 30x - 210
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Brain Bogglers II
Solve this puzzle by finding the correct values for A and B. The
pictures are important.
A-B= 1 and
2A + 20 =B
How do you use transformations to determine if figures are congruent or similar?
Geometric shapes that are identical in size and shape are known as congruent figures. Congruent figures are those in which you may use a series of translations, rotations, and/or reflections to turn one figure into another.
What is rigid transformations?The separation between each pair of the geometric object's points is preserved during a rigorous change of the object. In other words, a rigid transformation maintains the object's size and shape. For instance, the rigid transformation of a triangle retains the angles and lengths of the triangle. Imagine a stiff shape distortion, similar to a cardboard shape.
There are isometric rotations, reflections, and translations. Accordingly, the size of the figure is unaffected by these adjustments. The figures are consistent if neither the size nor the form of the figure is altered.
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