There are 11 animals on a farm, some of which are goats, while others are ducks. The total number of legs on the ducks and goats is 34.
Explain about the Expression?An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.
In mathematics, an expression is referred to as an algebraic expression if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions are made up of multiple terms.
Functions, variables, and numbers make up an expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.
There are 11 animals, and they have a combined total of 34 legs.
Set G and D to the number of goats and ducks, respectively.
Consequently, G = 11 - D when G + D = 11, and vice versa.
therefore 4G + 2D = 34
Using the value as a stand-in for G, we obtain 4(11 - D) + 2D = 34.
By expanding, we have 34 - 44 - 4 + 2D.
The answer is D = 5. Thus, G equals 6.
Proof (5 x 2) plus (6 x 4) equals 34.
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30PTS 30PTS don’t explain just answer.
Answer:
y = 90°
Step-by-step explanation:
if you can buy one bunch of cilantro for $1.60 how many can you buy with $38.40?
Answer: 24 bunches of cilantro
Step-by-step explanation:
1. Set a proportion with the given information, which should be 1/1.60 = x/38.40.
2. Cross multiply. Now the equation should 1.60x = 38.40.
3. Divide by 1.60 to get x alone to find out how many bunches of cilantro you can buy with $38.40. This should give you x = 24 bunches of cilantro.
Answer:
24 bunches
Step-by-step explanation:
The person below is correct
what must be true for (m+p) so that the value of the expression below is negative? Explain.
-2 + (m + p)
For the expression to be negative (m + p) < 2.
What is an expression?An expression is a group of terms and mathematical symbols which can be evaluated to a given value.
How to determine what must be true for (m+p)?Since we have the expression -2 + (m + p), we need to determine the value of (m + p) for which the value of the expression is negative.
This implies that the value of the expression is less than zero.
So, we proceed as follows.
Since the expression is -2 + (m + p), for it to be negative, it must be less than zero.
So, -2 + (m + p) < 0
⇒ -2 < -(m + p)
Dividing both sides by -1, we have that
-2/-1 < -(m + p)/-1
2 > (m + p)
(m + p) < 2
So, for the expression to be negative (m + p) < 2.
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HELP PLEASE QUICK!!
Use the graph of the equation to answer the question.
Part A: What is the domain of the equation?
A. All real numbers
B. x≤2
C. x≥-4
D. x≥2
Part B: What is the range of the equation?
A. y≥-4
B. All real numbers
C. y≤-4
D.y≥2
The domain of the equation is (A) All real numbers and the range of the equation is (A) y≥-4.
What is the domain and range of the equation?The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
The domain of the equation is (A) All real numbers because the value of x is all real numbers.
and the range of the equation is (A) y≥-4, because the value of variable y is greater than and equal to -4 for all values of x.
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The number of pages in an Algebra 1 book is 99 less than the number of pages in a geometry book. Write and solve an equation to find the number n of pages in the geometry book. (big ideas)
On solving the provided question we can say that *629 = n - 99 is an equation. The textbook contains 728 pages*.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
In other words, the geometry book is 99 pages LONGER than the algebra book, which is 99 pages SHORTER. The solution can be obtained using this equation. I'm sorry, but 530 is not the solution.
629 = n - 99 is an equation. The textbook contains 728 pages*.
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Please help I’m going to fail this grade
The result of the operation between two mixed numbers are listed below:
99 / 104 4 / 3 6 / 5 52 / 25 57 / 53 33 / 100 1 / 2 8 / 5 4 4 / 3How to solve an operation between mixed numbers
Mixed numbers are real numbers with special notation to transform improper fractions into a combination of integers and fractions. That is:
a b / c = a + b / c
Where a, b, c are integers and c is a non-zero number.
The procedure to simplify the operation is described below:
Transform mixed numbers into improper fractions. Divide the resulting two fractions. Simplify the expression.Case 1
1 3 / 8 ÷ 1 4 / 9
(1 + 3 / 8) ÷ (1 + 4 / 9)
(11 / 8) ÷ (13 / 9)
(11 / 8) / (13 / 9)
99 / 104
Case 2
2 1 / 3 ÷ 1 3 / 4
(2 + 1 / 3) ÷ (1 + 3 / 4)
(7 / 3) ÷ (7 / 4)
(7 / 3) / (7 / 4)
28 / 21
4 / 3
Case 3
4 1 / 5 ÷ 3 1 / 2
(4 + 1 / 5) ÷ (3 + 1 / 2)
(21 / 5) ÷ (7 / 2)
42 / 35
6 / 5
Case 4
5 1 / 5 ÷ 2 1 / 2
(5 + 1 / 5) ÷ (2 + 1 / 2)
(26 / 5) ÷ (5 / 2)
(26 / 5) / (5 / 2)
52 / 25
Case 5
9 1 / 2 ÷ 9 4 / 6
(9 + 1 / 2) ÷ (9 + 4 / 6)
(19 / 2) ÷ (58 / 6)
114 / 106
57 / 53
Case 6
2 2 / 10 ÷ 6 2 / 3
(2 + 2 / 10) ÷ (6 + 2 / 3)
(22 / 10) ÷ (20 / 3)
(22 / 10) / (20 / 3)
(66 / 200)
33 / 100
Case 7
2 1 / 4 ÷ 4 1 / 2
(2 + 1 / 4) ÷ (4 + 1 / 2)
(9 / 4) ÷ (9 / 2)
(9 / 4) / (9 / 2)
18 / 36
1 / 2
Case 8
2 2 / 3 ÷ 1 2 / 3
(2 + 2 / 3) ÷ (1 + 2 / 3)
(8 / 3) ÷ (5 / 3)
(8 / 3) / (5 / 3)
8 / 5
Case 9
5 3 / 5 ÷ 1 2 / 5
(5 + 3 / 5) ÷ (1 + 2 / 5)
(28 / 5) ÷ (7 / 5)
(28 / 5) / (7 / 5)
28 / 7
4
Case 10
4 2 / 3 ÷ 3 1 / 2
(4 + 2 / 3) ÷ (3 + 1 / 2)
(14 / 3) ÷ (7 / 2)
(14 / 3) / (7 / 2)
28 / 21
4 / 3
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Answer the questions. If you get stuck, consider using pattern blocks.
a. How many1/2s are in 4?
b.How many 2/3s are in 2?
c.How many 1/6s are in 1?
Eight 1/2s are in 4. This can be visualized with pattern blocks, as four triangles (each triangle is 1/2) would be needed to make up a square (4).
What is visualized?Visualization is the process of creating graphical representations of data and information. It can take the form of charts, graphs, diagrams, maps, and other visual representations of data and patterns. Visualization can be used to explore, analyze, and communicate data in an effective and meaningful way, helping to make complex data more accessible and easier to understand. Visualization can also help to uncover trends and relationships that might otherwise be difficult to detect.
b. Three 2/3s are in 2. This can be visualized with pattern blocks, as three hexagons (each hexagon is 2/3) would be needed to make up a rectangle (2).
c. Six 1/6s are in 1. This can be visualized with pattern blocks, as six rhombuses (each rhombus is 1/6) would be needed to make up a hexagon (1).
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Type the correct answer in each box.
Table A: Inventory Stock
Product Store A Store B Store C
X 543 356 643
Y 364 476 419
Z 376 903 409
Table B: July Unit Sales
Product Store A Store B Store C
X 102 78 97
Y 98 87 59
Z 54 89 79
Table A shows the total inventory of three products for three Sports Equipment Corporation stores on July 1. Table B shows unit sales data for the month of July.
If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by c22 is
.
In a matrix with components aij, which represent unit sales for July, the maximum possible value that a31 can have is
The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
Table C: Ending Inventory
Product Store A Store B Store C
X 441 278 546
Y 266 389 360
Z 322 814 330
The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A.
The value of the entry represented by c22 in the matrix C that shows the inventory at the end of July is 389, and the maximum possible value that a31 can have is 903.
The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B. The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A. This value indicates that the maximum number of units of Product Z that can be stored in Store C is 903. In summary, the value of c22 in the matrix C is 389, and the maximum value of a31 is 903.
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A B. C A3 x 3 matrix is above. It has a pattern going both horizontally across the rows and vertically down the columns. The pattern is not necessarily the same in both directions. There is one object that fits correctly in the bottom right corner of the matrix. Choose this object from the list below the matrix Select one: a. A ОБ. В Ос, с d. D e. E f.F 8.G h. H
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
what is matrix i?A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
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What are the domain and range of the function?
f(x) = ³√x + 2
The domain of the function f(x) = ∛x + 2 is all real numbers such that x ≥ 0. This is because the cube root function is defined only for non-negative numbers.
What do a function example's range and domain mean?
A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...
For the range, the function f(x) = ∛x + 2 is a monotonically increasing function over the domain, which means that it increases as the input x increases. Therefore the range of f(x) = ∛x + 2 is all real numbers greater than or equal to 2
So the domain is x>=0 and the range is y>=2
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Radicals help please
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
Describe fraction.Components of fractions are the numbers in the numerator and denominator (and ratios). The denominator, which is the smallest number, represents the greatest possible number of parts that can be put together to create a whole. You can tell how many parts you have by looking at the numerator, which is the greatest number. It might not be the whole thing! If the denominator is 0, that is bad. Division by zero is prohibited. If the denominator is a 1, our fraction is actually an integer.
Here,
we can rationalize a radical-containing fraction's denominator by doing the following:
Step 1: In order to eliminate the radical from the denominator, multiply the numerator and denominator by a radical.
Verify in step two that all radicals have been streamlined.
Step three is to simplify the fraction, if necessary.
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
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write as complete square root 3√5
Copy and complete each of the Diamond Problems below.
The pattern used in the Diamond Problems is shown at right.
b.
a.
0.32
12
"1
J
c.
9
2
d.
234
31
Core Connections, C
"
J
The provided schematic must be followed in order to answer these diamond problems. You must multiply the values on the left (x) and right (y) cells in order to find the value that belongs in the top cell.
we have,
For Diamond Problems a
x+y=1.2
xy=.32
so value of x= .8 and y = .4.
for Diamond Problems b
x= 11
x+y=25.
so y= 14 and xy=11*14=154.
for Diamond Problems c
x=-7
y=-9
so x+y=-16 and xy= 63.
for Diamond Problems d
x+y=31
xy=234
x=13 and y=18
Is figuring out puzzles a skill?Because puzzles engage both the left and right sides of your brain, solving them aids in the development of your problem-solving abilities. Solving puzzles with others is a terrific method to improve your communication and cooperation skills in addition to your problem-solving and critical thinking abilities.
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the equation t=s/5 gives the number of cups pf tomatoes,t,required per cup of salad,is. what is the constant of proportionality
The given equation t = s/5 represents a proportional relationship and the value of the constant of proportionality is 1/5.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
Proportional relationships are written in the form y = kx
where k is the constant of proportionality.
The given equation below which is given in the question:
t = s/5
The above equation represents a proportional relationship.
According to the given question, k = 1/5 so the answer is 1/5.
Thus, the value of the constant of proportionality is 1/5.
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Write an equation for the sinusoid you graphed.
Max: 210
Min: 10
Time: 90 seconds (to go around the Ferris wheel 1 time)
Not sure if I graphed it correctly either…
Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).
Describe equationAn equation is a representation of two equal variables in mathematics, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra lessons address the fundamental concepts of mathematics.
Here,
Given: Maximum: 210
Minimum: 10
Time : 90
In order to create a sinusoid equation:
When x=0, sin(2*0)=sin(0)=0.
If x = 4 then sin(4 / 2) = 1.
Sin(π) = 0 if x =π/2 and
Consequently, the sinusoid's equation will be y=Sin (2x)
Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).
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Melody has two different posters to put up in her bedroom. Poster A has an area of 450 square inches. Poster B has an area of 326 square inches. How much area of Melody's bedroom wall will the two posters cover, in square inches?
The two posters will cover 776 square inches of Melody's bedroom wall.
To find this, you add the area of the two posters together. Poster A has an area of 450 square inches, and poster B has an area of 326 square inches. By adding these two values together, we get 450 + 326 = 776 square inches. This is the total area that the two posters will cover on Melody's bedroom wall. It is important to note that this is assuming that the posters do not overlap each other and that they are placed next to each other, covering an equal area of the wall.
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Carl deposited $1220 in a bank that pays 9% interest, compounded monthly. Find the amount he will have at the end of 3 years.
a.
$3431.45
c.
$1549.40
b.
$1596.55
d.
$1334.44
The amount he will have at the end of 3 years is $1596.55.
Option B is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $1220
r = 9%
n = 12
t = 3 years
Amount = P [tex](1 + r/n)^{nt}[/tex]
A = 1220 [tex](1 + 9/12)^{36}[/tex]
A = 1220 [tex](1 + 0.75)^{36}[/tex]
A = 1220 x [tex]1.75^{36}[/tex]
A = $1,596.55
Thus,
The amount after 3 years is $1596.55.
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Random students from a high school were surveyed to determine if there was enough interest to start a Ukulele Club.
Identify the population:
A. Students of high schools across the country
B. Students of the high school
C. Citizens of the city
D. Every citizen of the country
Answer:
b
Step-by-step explanation:
Answer:
B. Students of the high school
Step-by-step explanation:
It is high school because you just want to ask that area.
Worksheet fun balancing equations
The values of x are 16, 15, and 13 respectively after balancing equations 19 - 17 = x - 13, 18 - x = 19 - 16, and 17 - 12 = 18 - x.
what is equations ?It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation is a statement that has two equal sides and an equal sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a linear equation is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.
given
balancing equations
a) 19 - 17 = x - 13
x = 16
b ) 18 - x = 19 - 16
x = 15
c) 17 - 12 = 18 - x
x = 13
The values of x are 16, 15, and 13 respectively after balancing equations 19 - 17 = x - 13, 18 - x = 19 - 16, and 17 - 12 = 18 - x.
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Evaluate the expression 2(b+4), when b=5
The evaluation of the expression 2(b + 4) when b = 4 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2(b + 4)
Values: b = 5
Substitute the known values in the above equation, so, we have the following representation
2(b + 4) = 2 * (5 + 4)
Evaluate the products
This gives
2(b + 4) = 10 + 8
Evaluate the like terms in the equation
So, we have the following representation
2(b + 4) = 18
Using the above as a guide, we have the following:
The solution is 18
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If triangle NPZ ~ triangle HBZ find the measure of angle B.
Please show the steps
The measure of angle B is m ∠B = 107°.
What is similar triangles?
Triangles that are similar in shape but differ in size are known as similar triangles. Examples of related objects include all equilateral triangles and squares with any side length. To put it another way, if two triangles are similar, then their corresponding angles and sides are congruent and equal in size.
Given: Δ NPZ ~ Δ HBZ
As the triangles NPZ and triangle HBZ are similar that means the corresponding angles are congruent.
⇒ ∠N = ∠H, ∠P = ∠B, ∠Z = ∠Z
Since,
∠P = (8x - 37)°, ∠Z = 42°, ∠H = (2x - 5)°
⇒ 2x - 5 = ∠H, ∠B = 8x - 37, Z = 42°
Since, the sum of three angles of triangle is 180°.
⇒ ∠H + ∠B + ∠Z = 180°
(2x - 5)° + (8x - 37)° + 42° = 180°
10x - 42° + 42° = 180°
10x = 180°
x = 18°
So,
∠B = (8x - 37)° = 8(18) - 37 = 144 - 37 = 107°.
Hence, the measure of angle B is m ∠B = 107°.
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Tues
1.There were 32 brown ducklings at a pond. Twice as
many white ducklings arrived., 1/2 of the brown ducklings
flew away. How many ducklings are there now, at the
pond?
Answer:
80 ducks (16+64)
Step-by-step explanation:
So if there were 32 brown ducks in the pond at first, then twice the amount of brown ducks (32).
32x2=64 white ducks
So now their are 64 white ducks at the pond. We still have to add how many brown ducks their were so…
64+32=96 ducks in total
But then as the white ducks came in half of the brown ducks flew away.
32/2=16 brown ducks left in the pond.
Lastly add the remaining brown ducks with the white ducks and that is you answer!
16+64=80 total amount of ducks
Final Answer:
80 ducks
I hope this helps! I am sorry if I got it wrong!
How do you know how many real solutions?
The number of real solutions of a quadratic equation depends on the sign of the discriminant.We can find discriminant by using discriminant formula.
What are real solutions of an equation?A real solution in algebra is simply a solution to an equation that is a real number. there can be 0, 1, or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign (b2 - 4ac), is positive, negative, or zero.
How many real solutions does the discriminant have?When the discriminant value is positive we get two real solutions. When the discriminant value is zero we get one real solution. When the discriminant value is negative we get a pair of complex solutions.
So that we can find real solution of quadratic equation by finding discriminant of given equation.
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please answer **ASAP** (WORTH 50pts)
in a sequence the first term of 4 and the common difference is 8 find a fifth term
EXPLAIN
The fifth term of the given arithmetic sequence is 36.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d
Given that, in a sequence the first term of 4 and the common difference is 8.
Here, a=4 and d=8
Now, the fifth term is
a₅=4+(5-1)×8
= 4+32
= 36
Therefore, the fifth term of the given arithmetic sequence is 36.
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What is the name of the point where the two axes cross?
As per the concept of graph, the name of the point where the two axes cross is origin.
Graph in math is defined as a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
Here we have to identify the name of the point where the two axes cross.
As we all know that the horizontal axis in the coordinate plane is called the x-axis and the vertical axis is called the y-axis.
Here we have also know that the point at which the two axes intersect is called the origin.
Where the origin is at 0 on the x-axis and 0 on the y-axis.
And these intersecting x- and y-axes divide the coordinate plane into four sections
Finally all these four sections are called quadrants.
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A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have from 1 to 23 members. How many committees can be formed
The total number of such committees that may be created, divided by the prime numbers that divide N, is 81.
What is the prime numbers that divide N?In the scenario presented in this question, a club with 11 men and 12 women must elect a committee from among its members in order for there to be one more woman on the committee than males.
The committee might consist of only 1 person or up to 23 people.
Let N represent the maximum possible number of such committees.
The total number of prime numbers that divide N must be determined.
The number of ladies chosen will be m.
The number of guys who were not chosen would thus be:
11 - (m - 1) = 12 - m
Each pairing of men who were not chosen and women who were chosen represents a committee choice.
Since selecting 12 people from a total of 23 would result in m women and 12 - m males, the committee chose:
making use of a combination formula
N = 23C12
N = 23!/12!(23 - 12)!
N = 1352078
These are the main components of 1352078: 2, 7, 13, 17, 19, and 23.
Consequently, the prime number total would be,
2 + 7 + 13 + 17 + 19 + 23 = 81
The total of the prime numbers is thus 81.
The complete question is:
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.
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What are the AGI and taxable income? Responses $35,468 and $23,068 $35,468 and $23,068 $47,468 and $35,468 $47,468 and $35,468 $47,868 and $12,400 $47,868 and $12,400 $35,468 and $12,400 $35,468 and $12,400 Gross Income $35,468 Adjustments 0 1 Exemption $12,400 Deduction 0
The amount of GI is $35,468.
The amount of taxable income is $23,068.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Gross income = $35,468
Exemption = $12,400
Deduction = 0
Adjustment = 0
Taxable income.
= Gross income - Exemption
= 35,468 - 12,400
= $23068
Thus,
GI and taxable income are $35,468 and $23,068
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Dean Wormer wants to compare the grade point average of athletes at Faber College with the overall grade point average at Faber College. She randomly selects three students from each team and determines that their combined grade point average, 2. 3, is the same as that of all students at Faber. In this example, what is the population
yes it is the same as that of all students at Faber GPAs as 2.32 and lower will mean that a track team athlete will be recommended for extra tutoring and population is 2.3* student number
What is the definition of a population?
In ordinary usage, a population is a distinct group of individuals with shared citizenship, identity, or characteristics. In statistics, a population is a representative sample of a larger group of people (or even things) with one or more characteristics in common.
When the distribution is normal, we use the z-score formula.
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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35PTS 35PTS answer the whole question, don’t explain.
The equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
What is the slope - intercept form of a line?The slope - intercept form of a line is -
y = mx + c ... { 1 }
where -
{m} is slope of line.
{c} is y - intercept of the line.
Given is the slope of the line as {m} = 1/4 and the y - intercept as {c} = -2.
From Eq { 1 }, we can write the slope - intercept form as -
y = mx + c
y = (1/4)x - 2
Therefore, the equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
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Write the following using index notation:
2 x 2 x 2
b) 3x3
3 x 3
c)
6 x 6 x 6 x 8 x 8 x 8
d)
3 * 4 * 3 x 4 * 3
Index notations are as follows:
a) 2³
b) 3²
c) 6³ * 8³
d) 3³ * 4²
What are Exponents?A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. A whole number, fraction, negative number, or decimal are all acceptable.
Let's break down the given index notation one by one:
a) 2 is taken 3 times = 2³
Similarly,
b) 3²
c) 6³ * 8³
d) 3³ * 4²
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