Answer:
9.6
Step-by-step explanation:
What is the mean of the following data set 4 8 11 12 13?
Mean: is the average of values so:
(4 + 8 + 11 + 12 + 13) / 5 = 9.6
What is the factor of 3x² x 4?
The Factors of the given quadratic equation "3x² -x -4" is (3x - 4)(x + 1) .
The Factors of a quadratic equations is defined as the number which when multiplied together gives the original equation .
the equation is given as : 3x² -x -4 ;
writing it as equation ,
we get , 3x² -x -4 = 0 ;
To write the factors we use split the middle term method , we get ;
⇒ 3x² +3x -4x -4 = 0 ;
⇒ 3x(x [tex]+[/tex] 1) -4(x [tex]+[/tex] 1) = 0
⇒ (3x - 4)(x [tex]+[/tex] 1) = 0 ;
Therefore , the factors of the given equation will be (3x - 4)(x + 1) .
The given question is incomplete , the complete question is
What is the factor of the quadratic Equation 3x² -x -4 ?
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Is Y =- 4 a vertical line?
Answer: No, it is a horizontal line across -4 y
Step-by-step explanation:
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 13 inches, and the length of the base is 8 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
The perimeter of the triangle is 35.0 inches
How to calculate the perimeter of a triangle?We should know that perimeter of an object is the distance round the very object. the triangle has three sides, then the perimeter of the trianggle is the sum of the three sides.
Hence the altitude forms a right angled triangle, there are two right angled triangles.
Using the Pythagoras theorem, let the two sides of the triangle be x and y
X²=13²+4² (the altitude divided the base into 2)
x²=169+16
x²=185
Taking the square root of both sides
x=[tex]\sqrt{185}[/tex]
x=13.6 inches
For the length y
Use the same Pythagoras theorem
X²=13²+4²
x²=169+16
x²=185
x=13.6 inches
The perimeter is 8+13.6+13.6 = 35.2 inches
Therefore, the perimeter of the triangle to the nearest tenth is 35.0 inches
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What does mean of 100 and standard deviation of 15 mean?
IQ scores follow a normal distribution, with a mean of 100 and a standard deviation of 15. Approximately 68% of people have IQ scores in the range [85,115].
What is mean?In mathematics and statistics, the mean is the average of a set of variables. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all ways for calculating the mean. The mean (average) of a data set is computed by adding all of the numbers in the set and dividing by the number of values in the set. When arranging data from smallest to greatest, the median is the value in the middle. The mode is the most commonly occurring number in a data set.
Here,
In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115. Values in this particular interval are the most frequent.
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval [85,115] .
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What are the zeros of FX x2 5x6?
The zeros of function f(x) = x2 - 5x + 6 are 3 and 2.
We can calculate the zeros of a polynomial using the quadratic equation.
The equation is:
x = [-b ± √(b2 - 4ac)] ÷ (2a)
In this case,
a = 1,
b = -5, and
c = 6.
Substituting these values into the equation, we get:
x = [-(-5) ± √((-5)2 - 4(1)(6))] ÷ (2(1))
Simplifying further, we get:
x = [5 ± √1] ÷ 2
Finally, we get:
x = 3 and 2
Therefore, the zeros of function f(x) = x2 - 5x + 6 are 3 and 2.
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NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! picture below.
Determine the domain of the following function: f(x)=x^2+3x-4/x(x^2-5)
Answer:
{x element R : x!=-sqrt(5) and x!=0 and x!=sqrt(5)}
(assuming a function from reals to reals)
So b:)
Step-by-step explanation:
7.5 as improper fraction
Answer:
15/2
Step-by-step explanation: Have a nice day
help pls I will give you brainlist Homework #25
Why Is a Party Like Pouring Oil Into a Car? Do each exercise and find your answer at the bottom of the page. Write the letter of Ihe exercise in the box above or below the answer:
I. Find the measure of the angle that is complementary to the angle having the measure given:
20° 67° 14° 81° 45°
II. Find the measure of the angle that is supplementary to the angle having the measure given.
III. Find the angle measure that is not given.
I.
The measure of the angle that is complementary to the angle 20° is 70°, 67° is 23°, 14° is 76°, 81° is 9° and 45° is 45°.
The sum of the complementary angles is 90°
Thus,
The complement of the angle 20° is 90°-20°=70°
The complement of the angle 67° is 90°-67°=23°
The complement of the angle 14° is 90°-14°=76°
The complement of the angle 81° is 90°-81°=9°
The complement of the angle 45° is 90°-45°=45°
II.
The measure of the angle that is supplementary to the angle 120° is 60°, 56° is 124°, 29° is 151°, 162° is 18° and 83° is 97°.
The sum of the supplementary angles is 180°
Thus,
The supplement of the angle 120° is 180°-120°=60°
The supplement of the angle 56° is 180°-56°=124°
The supplement of the angle 29° is 180°-29°=151°
The supplement of the angle 162° is 180°-162°=18°
The supplement of the angle 83° is 180°-83°=97°
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the rescue center currently has 9 snow geese each goose gets 16 oz of seed's there is 1,656 seeds in all how many days of food until the shelter runs out
Answer:
A soultion is provided that makes assumptions about missing information.
Step-by-step explanation:
The statement ". . . each goose gets 16 oz . . ." is missing some information about a time frame. Is it 16 oz per day, week, month? The question cannot be answered without this information.
We also don't know the relationship between the number of seeds and ounces. Is 16 oz 1 seed, 10 seeds, 1000 seeds? Again, we cannot solve this without additional information.
To add some insight how to solve the problem, lets make two assumptions:
Assume 16 oz/week. We can write this as a conversion factor: (16 oz food)/(1 snow goose).
Assume 10 seeds/oz.
The Rescue Center has 1,656 seeds in total.
(1,656 seeds)
Each snow goose gets 16 oz of seeds a week. That is (16 oz)*(10 seeds/oz) = 160 seeds/week per goose.
There are 9 geese, so they consume (9 geese)*(160 seeds/week/goose) = 1440 seeds/week
There are 1,656 seeds. At 1,440 seeds/week, they will last (1,656 seeds)/(1,440 seeds/week) = 1.15 weeks.
What SAT score do you need for Harvard?
Please help with this geometry problem and explain it step by step
Answer:
x = 26
Step-by-step explanation:
Angles ABC and CBD are supplementary, so they add up to 180.
(2x - 10) + (5x +8) = 180
7x - 2 = 180
7x = 182
x = 182/7 = 26
Solve the equation 6p = 2(52p).
First, divide both sides by 2 and simplify.
6p = 2(5 – 2p)
6p_2(5-2p)
2
2
p=5-2p
The equation 6p = 2(52p) getting no solution.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.
6p = 2(52p)
First, divide both sides by 2
6/2p = 2(52p)/2
3p= 52p
3= 52
No solution.
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How do you solve range and mean?
Add all of the numbers together and then divide that by how many numbers there are.
Mean mode formula - Mean = {Sum of Observation} ÷ {Total numbers of Observations}
What does the mode mean?
By summing all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined.
A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently.
What are the mean, median, and example?
The most frequent number, or the one that happens the most frequently, is known as the mode. Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.
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I need steps for this....
The discriminant is 60 and the equation has two real roots with parabola intersecting x - axis at two points.
We are given that the equation is [tex]-3x^{2} +6x +2 = 0[/tex]
The formula for discriminant is given by
D = [tex]{b^{2} -4ac}[/tex] where the equation is of the form [tex]ax^{2} + bx + c = 0[/tex]
Therefore,
a = -3
b = 6
c = 2
Putting these values in formula of discriminant, we get
D = [tex]{6^{2} - 4(-3)(2) }[/tex]
D = 36 +24
D = 60
For the quadratic equation [tex]ax^{2} + bx + c = 0[/tex] , the expression D = [tex]b^{2} - 4ac[/tex] is called the discriminant.
The value of the discriminant shows how many roots does the quadratic equation has:
If D > 0 then the quadratic equation has two distinct real roots.If D = 0 then the quadratic equation has one repeated real root.If D < 0 then the quadratic equation has no real roots.Now, since D = 60 > 0, we can say that the equation has two real roots and therefore, the parabola is intersecting the x-axis at two places.
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Are all equilateral triangles congruent Yes No?
No, All equilateral triangles need not to be always congruent with one another .
Justification of answer:
The reason is that although an equilateral triangle's angles are all 60 degrees, their corresponding sides are not necessarily the same .
Properties of an equilateral triangles:1. All 3 side of an equilateral triangles have same length .
2. All 3 angles of an equilateral triangles have same measure.
3. Each angles of an equilateral triangles is 60 degree .
4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4} * a^2[/tex]
5 . Perimeter of an equilateral triangles = 3*a
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Solve pls brainliest
Answer:
It's B, and the last one
Step-by-step explanation:
because 20% of omnivores like to exercise as opposed to the 14% of vegetarians.
Also about 16% of everybody LIKES to exercise, meaning more than 80% DON'T like to exercise
How hard is pure maths?
Pure maths can be quite challenging. It requires the ability to think logically and to understand complex concepts.
What is pure math?
Pure mathematics is the branch of mathematics that deals with abstract concepts, such as numbers and equations, that are not related to any physical objects or phenomena. It is the study of abstract concepts and properties, including number theory, geometry, algebra, and analysis. Pure mathematics is used in many areas of mathematics, such as applied mathematics, which is the use of mathematical techniques for solving real world problems.
It also requires knowledge of calculus, geometry and trigonometry, as well as problem-solving and analytical skills. Pure maths is often used in physics, engineering and computing, making it a valuable tool for anyone in these disciplines. However, mastering pure math takes practice and dedication, as it can be difficult.
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What age should a child say ABC's?
Children should be able to recite the letters and alphabets typically by the age of three.
What is alphabets?An alphabet is a standardized system of fundamental written graphemes that correspond to the phonemes of certain spoken languages. a group of letters or other symbols used to write one or more languages, especially if they are organized in a regular sequence. a set of symbols or signals used to represent letters.
Children should be able to recite the letters typically by the age of three. All kids, nevertheless, are unique. While some toddlers may learn when they are two, others might not begin until they are late in the third year. The majority of the time, repetition is how kids pick up the alphabet.
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What is the solution of equations 8x 3y 5 3x 2y 5 *?
The solution of the given system of equations 8x+3y=5 and 3x-2y=5 is x = 1 and y = -1
In this question we have been given a system of equations.
8x+3y=5 ..........(1)
and 3x-2y=5 ..........(2)
We need to find the solution of the given system of equations.
As right hane side of both equations is equal, we equate LHS of both equations.
so, we get,
8x + 3y = 3x - 2y
⇒ 8x - 3x = - 2y - 3y
⇒ 5x = - 5y
⇒ x = - y .............(3)
By substituting x = - y in equation (1), we get,
8 ( - y ) + 3y = 5
⇒ - 8y + 3y = 5
⇒ - 5y = 5
⇒ y = - 1
Substitute above value of y in equation (3)
⇒ x = - (- 1)
⇒ x = 1
Therefore, x = 1 and y = -1 is solution of given equations.
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population of ants is 10,000 at the start of April. since then, it triples each month. a. Complete the table. 2를 bits b. What do you notice about the population differences from month to month? 늘 마 number of ants months since April 0 1 2 3 4 c. If there are n ants one month, how many ants will there be a month later? #pt D. How many ants will be there in month 6?
Population of ants is 10,000 at the start of April. since then, it triples each month. Now, the calculated values become -
a) Table is complete below.
b) Notice that in every month there is an increase of 3 times population from month to month.
c) There are 8,10,000 ants in 4 months from April.
d) In the month of 6, there are 72,90,000 no. of ants.
What about population?A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population in statistics is the group of people from which a statistical sample is taken for a research.
Month since April Number of Ants
0 10,000
1 30,000
2 90,000
3 270,000
4 810,000
Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.
0 months from April = 10,000 × 1 = 10,000 ants
1 month from April = 10,000 × 3 = 30,000 ants
2 months from April = 30,000 × 3 = 90,000 ants
3 months from April = 90,000 × 3 = 2,70,000 ants
4 months from April = 270,000 × 3 = 8,10,000 ants.
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What is AAS and SSA?
AAS stands for Angle Angle Side
SSA stands for Side Side Angle
AAS Theorem (Angle-Angle-Side Theorem) states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. This theorem is important because it allows us to determine if two triangles are congruent without having to know all three sides and all three angles.
SSA Theorem (Side-Side-Angle Theorem) states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. This theorem is important because it allows us to determine if two triangles are congruent without having to know all three sides and all three angles.
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i would really appreciate if u help me
solve it please
the inductor in (figure 1) is a 9.0-cm-long, 2.0-cm-diameter solenoid wrapped with 300 turns.
As per the solenoid turn the measure of the current is written as 23.45
Here we have given that the inductor in is a 9.0-cm-long, 2.0-cm-diameter solenoid wrapped with 300 turns.
And we need to find the measure of the current flow.
While we looking into the given question, here we have given that
Here the
R refers resistance of resistor = 30 Ω
V refers voltage of battery = 6.0 V
s refers length of solenoid = 9.0 cm = 0.09 m
d refers diameter of solenoid = 2.0 cm = 0.02 m
N refers number of turns of wire = 300
μ0 refers permeability of free space = 12.56 x 10⁻⁷ H/m
Then the flow of the current is calculated as,
=> [4π x 10⁻⁷ x 300 x 12.56 x 10⁻⁷] / 2 x 10⁻²
When we simplify this one then we get the result as,
=> 23.45
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What is set and number?
A group of clearly defined objects or elements make up a set. A collection of numbers is known to as an element and forms up a set.
A collection of numbers is known to as an element and forms up a set. The set of numbers can either be an endless or a limited collection. Using "{" and "}" with the elements separated by commas is one way to represent a set in roster notation; for example, the set {5,29} has the elements 5 and 29.
A group of clearly defined objects or elements make up a set. The cardinal number of a set is shown in a curly bracket next to the capital letter symbol for a set, which denotes the number of elements in a finite set.
Sets of integers are among the most frequent types of sets in mathematics. Numbers come in a wide variety of forms. We have natural numbers, whole numbers, integer numbers, rational numbers and real numbers.
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What is a rhombus Class 6?
Answer:
Answer Below
Step-by-step explanation:
A rhombus is a quadrilateral with 2 diagonals.
Here is a table of values. The two quantities, x and y, are related.
What are some strategies you could use to find a relationship
between x and y?
Brainstorm as many ways as possible.
Answer:
You could graph the points and recognize that it's a quadratic equation.
If you solve for the equation, it is clear that this table follows the relation:
[tex]f(x)=x^2-1[/tex].
Step-by-step explanation:
The picture attached shows the graph.
The dot plot shows the number of goals erin’s soccer team scored this season. goals scored per game a dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 0 dots, 3 has 5 dots, 4 has 3 dots, 5 has 8 dots. which is a true statement about the dot plot? the team never scored exactly 2 goals in a single game. the team scored exactly 1 goal in 3 games this season. the most goals the team scored in a single game were 8. the team scored exactly 3 goals in 4 games this season.
As per the concept of dot plot the team never scored exactly 2 goals in a single game.
In math the term dot plot which is also known as a strip plot or dot chart is referred as a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.
Here we have given that goals scored per game a dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 0 dots, 3 has 5 dots, 4 has 3 dots, 5 has 8 dots.
And we need to find a true statement about the dot plot.
As we know that these types of charts are used to graphically depict certain data trends or groupings.
Here we know that the team never scored exactly 2 goals in a single game, based on this we can says the team never scored exactly 2 goals in a single game and the dot plot shows 0 dots in number 2.
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Francisco is working two summer jobs, making $15 per hour life guarding and making $8 per hour clearing tables. In a given week, he can work at most 8 total hours and must earn no less than $80. If x represents the number of hours lifeguarding and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities is:
x + y ≤ 8 (1)
5x +8y ≥ 80 (2)
The graphical solution is attached and one possible solution is (-30,30).
What is inequality?
The relation between two unequal expressions is defined as inequality.
Given that, the person makes $15 per hour of lifeguarding and $8 per hour clearing tables.
It is also given that x represents the number of hours of lifeguarding and y represents the number of hours of clearing tables.
The person has at most 8 hours a week, therefore, it follows:
x + y ≤ 8 (1)
The earnings of the person in a week are:
15x + 8y
Since the earnings must be no less than $80, it follows:
15x +8y ≥ 80 (2)
Hence, the system of inequalities is:
x + y ≤ 8 (1)
5x +8y ≥ 80 (2)
The graphical solution is attached and one possible solution is (-30,30).
A shape is equiangular with a total of 16 sides. How many degrees would just one of the interior angles have
Answer:
Step-by-step explanation:
jjj
Solve the function y=-2x+3
The range is { -5, -3, 7 }
How to calculate domain and range ?The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). A function's range is the set of possible values that it can accept. The values that the function outputs when we enter an x value are in this set.
domain = x
range = y
when the domain is -1
y = 2(-1) - 3
y = -2 - 3
y = -5
range is -5
When the domain is 0
y = 2(0) - 3
y = 0 - 3
y = -3
range is -3
when the domain is 5
y = 2(5) - 3
y = 10 - 3
y = 7
range is 7
The range is { -5, -3, 7 }
The complete question is : What is the range of the function y=2x-3 when the domain is {-1,0,5}
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