Option B, The table does not show a probability distribution. the sum of all the probabilities is not equal to 1 .
What is a probability distribution?A statistical function called a probability distribution explains the range of values and probabilities that a random variable might have. A statistical function known as a probability distribution explains the possibility of obtaining each potential value that a random variable can have.
The sum of the values is given as 0.001 + 0.008 + 0.034 + 0.057
= 0.1
Due to the fact that this is not a probability distribution.
We must choose the standard deviation as well. There is no probability distribution displayed in the table. These exist because sum = 1, which is not present here, is required for a probability distribution.
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Fill in the boxes with the correct numerator or denominator to make each then ture
Answer:
2. 13
3. 3
4. 5
7. 4
8. 37
9. 5
Step-by-step explanation:
Denominator: same as the denominator of the fraction in the mixed number.
Numerator:
1. Multiplying the denominator of the fraction by the whole number, and
2. Adding that number to the numerator of the fraction
The numerator signifies the total parts taken, and the denominator indicates the entire parts as a whole.
1) 2*3/5 = 13/5
2) 4*2/3 = 14/3
3) 6*4/5 = 34/5
4) 5*3/4 = 23/4
5) 7*2/5 = 37/5
6) 9*1/5 = 46/5
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Rewrite sin(x-7pi/4) in terms of sin(x) and cos(x)
The expression written in terms of sinx and cosx is
sinx· cos7π/4 - cosx ·sin7π/4
What is an algebraic expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is sin(x - 7π/4).
Use the formula for sin(A-B) to rewrite the expression:
sin(x - 7π/4)
= sinx· cos7π/4 - cosx ·sin7π/4
Hence, the expression written in terms of sinx and cosx is sinx· cos7π/4 - cosx ·sin7π/4
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André planted a cedar hedge 15 years ago (currently it's the start of the 16th year). The
hedge is now 3 metres high. The cedars grew an average of 12 cm per year. How tall were
the cedars when he planted them?
The height of the cedars when they were planted by André, found using the formulas for arithmetic progression is 1.32 meters
What is an arithmetic progression?An arithmetic progression is a number sequence that consists of numbers that have a constant or common difference between consecutive term of the sequence.
The year André planted the cedar hedge tree = 15 years ago
The present height of the hedge = 3 meters = 300 cm
The average rate at which the cedars grew = 12 cm per year
The height of the cedar hedge when André initially planted the them can be found by representing the situation using an arithmetic progression formula or as follows;
The nth term of an arithmetic progression, aₙ, can be found using the formula; aₙ = a₁ + (n - 1)·d
Where;
a₁ = The initial height of the tree
d = The amount the tree grows each year = 12 cm
n = The number of years ago, the tree was planted
When n = 15, we get;
a₁₅ = 3 meters = 300 cm
Therefore;
300 = a₁ + (15 - 1) × 12
a₁ = 300 - (15 - 1) × 12 = 132
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Determine where the real zeros of f(x)=x^4-2x^3+x-2 are located.a. at -1 & 2 c. at 0 & 1 b. at 1 & 2 d. at -1 & 1
The real zeroes of the given polynomial are located at (1, 2).
What are zeroes of the polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
Given that, x⁴-2x³+x-2
Checking the real zeroes,
Considering point (1, 2)
y = 2 and x = 1
Putting the values,
x⁴-2x³+x-2 = 1-2+1-2 = 2
And, y = 2
Therefore, LHS = RHS
Hence, The real zeroes of the given polynomial are located at (1, 2).
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What does it mean for addition to be closed?
For any two members of the set, addition will result in a value that is also a member of the set, if the set is closed.
It is speaking of a set, (the mathematical concept) and the operation, here, addition. For any two members of the set, addition will result in a value that is also a member of the set, if the set is closed.
Yes, whole numbers are closed under addition
It is speaking of a set, (the mathematical concept) and the operation, here, addition. For any two members of the set, addition will result in a value that is also a member of the set, if the set is closed.
So the set of whole numbers are closed under addition
Addition of the set of positive integers is closed because the sum of any two integers is also an integer.
Consider subtraction. Positive numbers are not closed under subtraction because picking a larger number to subtract from a smaller one results in a negative number result.
Therefore, For any two members of the set, addition will result in a value that is also a member of the set, if the set is closed.
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2. The two polygons below are congruent.
Which statement is a valid congruence statement?
A. polygon PQRST Ξ polygon XWVZY
B. polygon PQRST Ξ polygon WXYVZ
C. polygon PQRST Ξ polygon XYZVW
D. polygon PQRST Ξ polygon WVZYX
Use diagram to answer the questions below
a. Angle g is corresponding to angle c.
b. Angle f is alternate to angle d.
c. Angle d is corresponding to angle h.
d. Angle c is vertically opposite to angle a.
e. Angle c is alternate to angle e.
f. Angle f is vertically opposite to angle h.
g. Angle e is corresponding to angle a.
h. Angle e is vertically opposite to angle g.
Please mark me BRAINLIEST if you like my answer
EVALUATE ₈C₇ and ₁₁P₅
₈C₇=
₁₁P₅=
The permutation and combination expressions have their values to be ⁸C₇ = 8 and ¹¹P₅ = 55440
How to determine the permutation and combination expressions?From the question, we have
⁸C₇ and ¹¹P₅
The combination expression: ⁸C₇
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 8 and r = 7
Substitute the known values in the above equation
Total = ⁸C₇
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
⁸C₇ = 8!/7!1!
Evaluate
⁸C₇ = 8
(b) The permutation expression: ¹¹P₅
The number of ways of selection could be drawn is calculated using the following permutation formula
Total = ⁿPᵣ
Where
n = 11 and r = 5
Substitute the known values in the above equation
Total = ¹¹P₅
Apply the permutation formula
ⁿPᵣ = n!/(n - r)
So, we have
¹¹P₅ = 11!/6!
Evaluate
¹¹P₅ = 55440
Hence, the values are 8 and 55440
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Solve for
x
xx.
Assume the equation has a solution for
x
xx.
19
x
+
r
x
=
−
37
x
+
w
The value of x in the Algebraic expressions is x = w / (56+r).
What is Algebra?
Algebra is a branch of mathematics focused on the study of mathematical symbols and the rules for manipulating those symbols. In algebra, letters and other symbols represent numbers, which can be manipulated and combined to solve equations and other mathematical problems. Algebra is used in a variety of different fields, from engineering to economics, and is essential for anyone studying mathematics. Algebra can be used to solve problems involving linear equations, quadratic equations, polynomials, and more. Algebra also provides an important foundation for more advanced fields of mathematics, such as calculus. By learning the basics of algebra, students can gain an understanding of key mathematical concepts and gain the skills necessary to solve complex problems.
The solution is,
given: 19x + rx = -37x + w
( 19x + 37x) = w - rx
56x + rx = w
x(56+r ) = w
x = w / (56+r)
Therefore the value of x in the algebraic expression is x = w / (56+r).
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Solve for x xx. Enter the solutions from least to greatest. Round to two decimal places. ( x + 3 ) 2 − 3 = 0 (x+3) 2 −3=0
The solution of the equation (x + 3)² − 3 = 0 least to greatest will be negative 4.73 and negative 1.27.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
(x + 3)² − 3 = 0
Simplify the equation, then the value of the variable 'x' is given as,
(x + 3)² − 3 = 0
(x + 3)² = 3
x + 3 = ± √3
x = - 3 ± √3
x = - 3 ± 1.73
x = -4.73, -1.27
The solution of the equation (x + 3)² − 3 = 0 least to greatest will be negative 4.73 and negative 1.27.
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Find the number of distinguishable permutations of the letters in each word below.
(a) bigger
(b) Hollywood
(c) possess
The number of distinguishable permutations in the given letters are:
a.) Bigger= 720
b.) Hollywood = 362,880
C.) possess = 5040
What is permutation?Permutation is defined as the arrangement of data set in a definite form which involves multiplication from the given number to 1.
The word 'bigger' contains 6 letters. Therefore the permutation of 6 = 6×5×4×3×2×1 = 720
For the word 'hollywood' contains 9 letters. Therefore the permutation of 9 =9×8×7× 6×5×4×3×2×1= 362,880
For the word 'possess' contains 7 letters. Therefore the permutation of 7 = 7× 6×5×4×3×2×1 = 5040.
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Please I need help on both part A and B
Answer:
Step-by-step explanation:
I hope anyone answers
Help
Please
How do you find the range of a function step by step?
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.
What is range of a function?
The group of all outputs of a function is called its range. for example: Let's have a look at the function f: A→ B, where f(x) = 2x and A and B each represent a "collection of natural numbers. The domain in this case is A, and the co-domain is B. The range then appears as the function's output. so Set of all even natural numbers is the range.
What do you mean by a function?A relation between a number of set of inputs with only one output corresponding to each of the input is called function.
Example:
Y = 2x
1. First, we have to write the function y=f(x) and then solve the equation for x and taking out equation of form x=g(y).
Suppose we have a function y=x2+1 and we have to find it range so,
we have to solve it for x to get
x=√y-1.
2. Now we have to find the domain of g(y), and this is simply the range of function f(x).
For our example,
y−1≥0, so [1,∞) is the range of f(x)=x2+1.
3. If we can't solve equation for x, then we can try it by drawing the graph of the function and find its range.
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3. Represent and Connect Write 2,857 using only hundreds and ones.
By using a linear combination, we can write our number using only hundreds and ones as:
2,857 = 28*100 + 57*1
How to write the number using only hundreds and ones?To write the number using only hundreds and ones we need to write our number as a linear combination of ones and hundreds, so we can write:
2,857 = a*100 + b*1
There are multiple solutions for this, we can use b to cover the ones and the tens, so:
57 = b*1
57 = b
And we can use a to cover the hundreds and thousands, so:
2,800 = a*100
2,800/100 = a
28 = a
Then we can write our number using only hundreds and ones as:
2,857 = 28*100 + 57*1
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what is the percent decrease 350 to 200
Answer:
75%
Step-by-step explanation:
First, you subtract 200 from 350 to get the difference, which is 150.
Then, you do 150 divided by 200 since 200 is the starting number and it is increasing by 150.
150/200 = 0.75
To convert the decimal into a fraction multiply by 100.
0.75*100 = 75
Can someone explain the formula I'd use to solve this
The formula for slope-intercept form is: y = mx + b
m = the slope of the line
b = the y-coordinate of the y-intercept, (0,b)
In this case, the slope is 3, since you go up 3 and to the right 1 to get from the point at (1,1) to the point at (2,4). 3/1 = 3
The line crosses the y-axis at (0,-2), so your b-value is -2.
The equation is y = 3x - 2.
In general, lines that increase (go uphill) from left-to-right have a positive slope. Lines that decrease (go downhill) from left-to-right have a negative slope.
Evaluate the expression.
(6 x 4) + (15÷ 5) =
?
Answer:
27
Step-by-step explanation:
first you multiply 6x4 which is 24 the you divive 15 by 5 you'll get 3 then you add 24 + 3 and your answer is 27
What does it mean when the discriminant is greater than 0?
We are interested in values that make the quadratic expression negative if the quadratic expression is less than, equal to, or greater than 0. We are interested in numbers that make our quadratic expression positive if the quadratic expression is more than, greater than, or equal to 0.
An discriminant value definition ?
The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.
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65 less than twice Janelle's savings
Answer:
x = 2y - 65
Step-by-step explanation:
How do you know if AB and CD are congruent?
If the length of two segments is equal then the two segments are congruent.
If l(AB) = l(CD) then seg AB ≅ seg CD.
Two line segments to be congruent if and only if they have the same length.
Two shapes are congruent if they are exactly the same shape and exactly the same size. In congruent shapes, all corresponding sides will be the same length and all corresponding angle will be the same measure.
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A twin engine aircraft can fly 960 miles from City A to city B in 3 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?
The speed of the wind is 100 miles per hour.
What is speed?Speed is the ratio of distance traveled and the time taken to travel the distance.
Given that, the twin-engine aircraft can fly 960 miles from city A to city B in 3 hours with the wind.
Let the speed of the wind and the aircraft be w and p respectively.
The net speed with the wind is:
w + p
Since the distance between the cities is 960 miles and the aircraft covers it in 3 hours with the wind, the net speed with the wind is:
w + p = 960/3
w + p = 320
p = 320 - w
Similarly, the net speed against the wind is:
p - w = 960/8
p - w = 120
Substitute p = 320 - w into the above equation:
320 - w -w = 120
2w = 320-120
w = 100
hence, the speed of the wind is 100 miles per hour.
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Write an expression to represent: 8 less than the product of 2 and x.
What are 6 techniques used by propaganda?
Answer:
Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.
Step-by-step explanation:
What is propaganda ?Information—especially that which is slanted or deceptive—used to advance or publicize a specific political cause or point of view.
Glitzy Generalizations
Use expressions or words that sound appealing and are widely accepted.
Card Arranging
Using only those ideas and facts that support your argument.
Plain people
Tell voters that you are a normal person with same needs and beliefs as theirs.
Testimonial
Persuades people to do something by leveraging their popularity as a celebrity or athlete.
Bandwagon
Encourages a tendency to follow the crowd
Using names
Put a bad name on your opponent.
Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.
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Goran must choose a number between 67 and 113 that is a multiple of 2, 6, and 8. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
The number that Goran can choose, which will be multiples of 2, 6, and 8, between 67 and 113 are 72, 96
What are the multiples of 2, 6, and 8 between 67 and 113?To find out the numbers that Goran can choose, find the multiples of 2, 6, and 8 that are between 67 and 113. Then the common multiples of these numbers within that range, are the numbers to be chosen.
Multiples of 2 between 67 and 113 :
68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112
Multiples of 6 between 67 and 113 :
72, 78, 84, 90, 96, 102, 108,
Multiples of 8 between 67 and 113 :
72, 80, 88, 96, 104, 112
The numbers that are multiples of 2, 6, and 8 are:
72, 96
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Raul hit a golf ball 26.4 yards. A.J. can hit a golf ball 10 times as far. How far can A,J, hit the ball?
Answer:
264
Step-by-step explanation:
26.4 * 10 = 264
May I please have a brainliest? Thank you!
Answer:
264 yards
Step-by-step explanation:
When we multiply a decimal number by ten, we can just move the decimal point to the right by one!
So, 26.4 becomes 264
So, A.J. can hit a golf ball 264 yards
if sina + sinb = m and cosa + cosb = n then prove that cos(a-b) = 1/2(m^2 + n^2 -2)
Proved
Used identities
cos (a - b) = cos a cos b + sin a sin b,sin²a + cos²a = 1,(a + b)² = a² + 2ab + b²which number line represents the solution set for the inequality 4x 3 2 2x
The solution to the inequality expression is x ≥ - 5
what is inequality expressions ?
Both equations and inequalities are mathematical phrases created by connecting two expressions. The two expressions are regarded as being equivalent in an equation.
solution:
The given expression - 4(x + 3) ≤ –2 – 2x
- 4x - 12 ≤ -2 - 2x
-4x + 2x ≤ -2 + 12
-2x ≤ 10
-x ≤ 5
Multiply both sides by - 1
Then x ≥ - 5
Hence the solution to the inequality expression is x ≥ - 5
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NO LINKS!! Use tests for symmetry to determine which graphs from the list below are symmetric with respect to the y-axis, the x-axis, and the origin. (Select all that apply.) Part 1
Answer:
[tex]\begin{aligned}\textsf{(a)} \quad y&=-6x^2\\y&=4x^2-2\end{aligned}[/tex]
[tex]\textsf{(b)} \quad x=\dfrac{1}{4}y^2[/tex]
Step-by-step explanation:
Part (a)A graph is symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph.
Linear functions are not symmetric with respect to the y-axis.
Quadratic functions are symmetric with respect to the y-axis if the y-axis is their axis of symmetry, so when the variable x is squared.
Cubic functions are not symmetric about the y-axis.
Square root functions are not symmetric about the y-axis.
There are two quadratic functions with x² in the given answer options.
Test to see if they are symmetric with respect to the y-axis.
Test for symmetry
To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.
Given function:
[tex]y=-6x^2[/tex]
Replace x with (-x):
[tex]\implies y=-6(-x)^2[/tex]
[tex]\implies y=-6x^2[/tex]
Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.
Given function:
[tex]y=4x^2-2[/tex]
Replace y with (-y) and x with (-x):
[tex]\implies y=4(-x)^2-2[/tex]
[tex]\implies y=4x^2-2[/tex]
Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.
Part (b)A graph is symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, -b) on the graph.
Linear functions are not symmetric with respect to the x-axis.
Quadratic functions are symmetric with respect to the x-axis if the x-axis is their axis of symmetry, so when the variable y is squared.
Cubic functions are not symmetric about the x-axis.
Square root functions are not symmetric about the x-axis.
There is one quadratic functions with y² in the given answer options.
Test to see if it is symmetric with respect to the x-axis.
Test for symmetry
To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.
Given function:
[tex]x=\dfrac{1}{4}y^2[/tex]
Replace y with (-y):
[tex]\implies x=\dfrac{1}{4}(-y)^2[/tex]
[tex]\implies x=\dfrac{1}{4}y^2[/tex]
Therefore, as the function is equal to the original function, this function is symmetric with respect to the x-axis.
Why is it important to make ten?
It is important to make a ten in lower grades to make students understand the subtraction.
According to the question,
We have the following information:
Making a ten
Now, we know that in making a ten method we take 1 from the next left digit of the number from which we are subtracting any other number. Now, this number 1 is treated as 10 instead of 1 and then 10 is added to the digit to ease subtraction in lower grades.
Now, the subtraction can be easily performed by subtracting the smaller number from the larger number.
Hence, it is important to make tens in lower grades to make students understand the subtraction.
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Match each equation with a graph above:
log (x) a. red R
10× b. black K
e× c. green G
ln (x) d. blue B
The equations are matched as below and the graph is plotted and attached
log (x) b. black K 10× d. blue Be× c. green Gln (x) a. red RWhat is logarithm graph?A log-log graph, also known as a log-log plot, is a two-dimensional graph of numerical data used in science and engineering that use logarithmic scales on both the horizontal and vertical axes.
The exponential graph is the opposite of logarithmic graph
In the given functions
log (x) is logarithmic function
10× is exponential function
Similarly, the natural exponent graph is the opposite of natural logarithm graph
in the given functions
e× is the natural exponential
ln (x) is the natural logarithm
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