If we add any constant term in the variable then the standard deviation remains same. So it is not change.
In the given question, d is the standard deviation of x, y, and z.
We have to find the standard deviation of x+5, y+5, and z+5.
As we know that;
Data distribution in reference to the mean is measured by a standard deviation, or. Samples are said to be more narrowly collected around the mean when the standard deviation is minimal and more dispersed when the standard deviation is higher.
While a high or low standard deviation implies that data points are, respectively, above or below the mean, a standard deviation that is close to zero suggests that data points are, on the other hand, relatively close to the mean.
If we see that in each variable x, y, z a constant value 5 is added.
If we add any constant term in the variable then the standard deviation remains same. So it is not change.
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The right question is:
If d is the standard deviation of x, y, and z, what is the standard deviation of x+5, y+5, and z+5?
The following figure was drawn using a straightedge and a compass. Where was the point of the compass located in order to make the arcs?
1. points X and Y
2. point D
3. point C
4. points A and B
The point of the compass located in order to make the arcs is points X and Y.
Define arc.An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc. A circle contains an arc. For instance, a quarter-circle and a semicircle are both examples of arcs. A minor arc is one that is smaller than half of the circle it is a part of, or less than a semicircle, whereas a major arc is one that is more than half of its circle.
Given
The following figure was drawn using a straightedge and a compass.
The point of the compass located in order to make the arcs:
1. points X and Y
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What is the simplified form of this expression? 15 – 10 (92 – 8 ×5 4) – 6
Print Prince is a printing company that charges a $14.95 set-up fee and $0.03 per copy to print brochures. Emilio is charged $32.20 to print brochures that will be distributed to promote the annual science fair. Write an equation then solve
Hello,
I hope you and your family are doing well!
To solve this problem, we can use the formula:
total cost = set-up fee + (cost per copy * number of copies)
In this case, we know the total cost and the set-up fee, and we want to find the number of copies. We can substitute these values into the formula and solve for the number of copies:
$32.20 = $14.95 + ($0.03/copy * number of copies)
Subtracting the set-up fee from both sides of the equation gives:
$17.25 = $0.03/copy * number of copies
Dividing both sides of the equation by the cost per copy gives:
number of copies = $17.25 / $0.03/copy = 575 copies
So Emilio was charged $32.20 to print 575 copies of the brochures.
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Happy Holidays!
Rob and Jeni each recruit three people to be election campaign volunteers. The next week they ask each of those volunteers to recruit three more campaign volunteers. They want all new volunteers each week to recruit three more volunteers.
The number of volunteers recruited for the first 5 weeks is; 486 people
How to calculate the geometric sequence?
A geometric sequence is defined as a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.
The nth term of a geometric sequence is given by:
aₙ = a₁rⁿ⁻¹
where;
a₁ is the first term
r is the common ratio
In this question, on the first week there are 6 people, and since each new people involve three more, the common ratio is 3, hence the parameters for the geometric sequence are:
a₁ = 6
r = 3
Hence the number of people after n weeks is:
aₙ = 6(3)ⁿ⁻¹
Thus, the number of volunteers recruited for the first 5 weeks is;
a₅ = 6(3)⁵⁻¹
a₅ = 6 * 3⁴
a₅ = 486
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What is (x + 3)(x - 5) in generic rectangle
the area of the generic rectangle will be x²-2x-15.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
Area of rectangle is A = a*b
(x + 3)(x - 5) in a generic rectangle
The product will give the area
x²-2x-15
hence the area of the generic rectangle will be x²-2x-15.
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I don’t understand geometry
Answer:
me either
Step-by-step explanation:
If f(x)=-x+6 and g(x)=-x^2-2x+8, the solutions to the equation f(x)=g(x) are x= and x=
The solution to the equation f(x)=g(x) are x=-2 and x=1.
What is solution to an equation?The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given functions are f(x)=-x+6 and g(x)=-x²-2x+8.
Now, f(x)=g(x)
-x+6=-x²-2x+8
⇒ x²+x-2=0
⇒ x²+2x-x-2=0 (Splitting middle term method)
⇒ x(x+2)-1(x+2)=0
⇒ (x+2)(x-1)=0
⇒ x+2=0 and x-1=0
⇒ x=-2 and x=1
Therefore, the solution for the obtained equation are x=-2 and x=1.
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solve for x.
enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x + x - x = x
explanation:
give us the actual formula lol
NEED HELP ASAP!
Refer to the triangle.
What is the length of side AB?
(Blank) units
After solving the equation the length of AB is [tex]2\sqrt{3}[/tex]
What do you mean by trigonometry?
Trigonometry “triangle” and “measure”) is a branch of mathematics that studies the relationship between the side lengths and angles of triangles.
A trigonometric ratio is the ratio between the edges of a right triangle.
The sine function (sin) defined as the ratio of the opposite side of the angle to the hypotenuse.
In the given triangle ABC , use sin ratio to find AB.
tan θ = P/B
tan 30 = AB/6
[tex]\frac{1}{\sqrt{3} } =AB/6[/tex]
AB = [tex]\frac{6}{\sqrt{3} }[/tex] = [tex]\frac{6}{\sqrt{3} }\times \frac{\sqrt{3}}{\sqrt{3}}= \frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
Therefore, length of AB is [tex]2\sqrt{3}[/tex]
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HELP ME PLEASE!!!!!!!!!!!!!!!!!
The figure shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. An image of a rectangle labeled A is shown on ordered pair 1, 1 and 3, 1 and 3, 2 and 1, 2. Another image of a rectangle labeled B is shown on ordered pair 2, 2 and 6, 2 and 6, 4 and 2, 4. Another image of a rectangle labeled C is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3 , 2 and negative 3, 1. Which of the following statements is true about the three quadrilaterals? (5 points) A and B are similar but not congruent. A and C are similar but not congruent. A and B are similar and also congruent. B and C are similar and also congruent.
Answer:
(a) A and B are similar but not congruent
Step-by-step explanation:
All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.
SOS 50 PTS!
Use a coordinate proof to show that the diagonals of a rectangle are congruent
The diagonals of rectangle are congruent.
How to show congruent diagonals?
We should know that a rectangle is a plane shape with four sides, four vertices and four angles.
Using a rectangle with the lettering ABCD
The diagonal AC divide the rectangle into two right angled triangles
<ADC = 90⁰
In the rectangle, AD=BC and AB=CD
Also, The same diagonal AC has another right angled triangle ABC with <ABC=90⁰
Similarly, diagonal BD divides the rectangle into two right angled triangles of ΔBAD and ΔBCD with a common hypothenuse of BD
Hence AB=CD and AD= BC
Therefore, the two diagonals are congruent
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equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven
Answer:
management accountant prepared a decision model which solve sell at split off or process
further decision problem. Which function did he provided?
A. Scorekeeping function C) Problem solving function
B. Attention directing function. D) Record keeping function E) None
PLS HELP ME I NEED IT I PUT A PICTURE
Answer: <D, < E, <C
Step-by-step explanation:
Which expression is equivalent to the perimeter of your the rectangle shown below?
The expression that is equivalent to the perimeter of the rectangle in the image shown is, 6x + 8.
How to Find the Perimeter of a Rectangle?To find the perimeter of a rectangle, add all the four sides of the rectangle. The following formula can be used:
Perimeter (P) = 2(length + width).
In the rectangle shown below, the dimensions are:
Length of rectangle = 2x + 3
Width of rectangle = x + 1
Substitute into the perimeter each expression of the dimensions:
Perimeter = 2[(2x + 3) + (x + 1)]
Open the parentheses by applying the distributive property of equality:
Perimeter = 2(2x + 3 + x + 1)
= 2(3x + 4)
= 2(3x) +2(4)
= 6x + 8
Therefore, the expression is, 6x + 8.
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Point B has coordinates (5,2). The x-coordinate of point A is -3. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answer:
The possible coordinates of point A are (-3, 8) and (-3, -4).
Step-by-step explanation:
We can find the possible coordinates of point A by using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is equal to the square root of (x2-x1)^2 + (y2-y1)^2. We know that the x-coordinate of point A is -3 and the distance between point A and point B is 10 units. We can use this information to solve for the y-coordinate of point A:
Copy code
d = sqrt((x2-x1)^2 + (y2-y1)^2)
d = sqrt((5-(-3))^2 + (2-y1)^2)
d = sqrt(8^2 + (2-y1)^2)
d = sqrt(64 + (2-y1)^2)
d = sqrt(64 + (y1-2)^2)
d = 10
sqrt(64 + (y1-2)^2) = 10
64 + (y1-2)^2 = 100
(y1-2)^2 = 36
y1-2 = +/- 6
y1 = 8 or -4
Therefore, the possible coordinates of point A are (-3, 8) and (-3, -4).
Use the given point on the terminal side of the angle theta to find the value of the trigonometric function instead
Csc theta (6,4)
Answer:
D) (√13)/2
Step-by-step explanation:
You want to know the cosecant of the angle measured clockwise from the +x axis with point (6, 4) on its terminal side.
CosecantThe cosecant of the angle is the ratio of the point's distance from the origin to the y-coordinate.
The distance from the origin is found using the Pythagorean theorem:
d = √(x²+y²) . . . . . . . distance from the origin to (x, y)
d = √(6² +4²) = √52 = 2√13
Then the desired ratio is ...
csc(θ) = d/y = (2√13)/4
csc(θ) = (√13)/2
Divide. 1585 ÷ 24 Write your answer as a mixed number.
Answer: 66 1/24
Step-by-step explanation:
Write the simplest polynomial function with the given root: -5, square root of 2, and -3i.
The needed 3rd-degree polynomial function with real coefficients matching the specified constraints will be y=-5x³+10x²-45x+90.
What is polynomial?A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. Polynomials are sums of k-x^n terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial.
Here,
y=-5(x-2)(x-3i)(x+3i)
y=-5(x-2)(x²+9)
y=-5(x³-2x²+9x-18)
y=-5x³+10x²-45x+90
The required 3rd-degree polynomial function with real coefficients satisfying the given conditions will be y=-5x³+10x²-45x+90.
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The price of a pair of shoes after 8% sales tax was added was $77.76. Find the original price before sales tax
Answer: $71.53
Step-by-step explanation:
77.76 = 100%
Mr. Frankel bought 5 tickets to a puppet show and spent $28. He bought a combination of child tickets for $2 each and adult tickets for $8 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?
PLEASE HELP ASAP ASAP ASAP
Answer: He bought three adult tickets and two child tickets
Step-by-step explanation:
The answer is 28$
2+2= 4
8+8= 16
16 + 4= 20
20 + 8 =28
He bought two child tickets and three adult tickets
Find the sum of (–4 i) and (10 – 5i). –3 5i –3 – 5i 6 – 4i 6 – 6i
The sum of the two complex numbers will give:
(-4 + i) + (10 - 5i) = 6 - 4i
So the correct option is the third one.
How to add two complex numbers?Let's assume we have two complex numbers which are:
A = a + bi
B = c + di
The sum between these two complex numbers is:
A + B = (a + bi) + (c + di)
Taking i as a common factor we can rewrite:
(a + bi) + (c + di) = a + c + (b + d)i
And that is the general sum.
Here we want to solve:
(-4 + i) + (10 - 5i)
Again, if we take i as a common factor we can rewrite:
-4 + 10 + (1 - 5)*i
6 - 4i
So the correct option is the third one.
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What is the solution to this
inequality?
8.6 ≤ x - 5 4/5
Answer:
x ≥ 72/5
8.6 ≤ x -5 4/5= 8.6 ≤ x -29/5
8.6 ≤ x -29/5= x ≥ 72/5
Help me !!??!!!????please
Write an equation and use it to solve for x.
The value of the x would be 9.
Option (A) is correct.
What is a complementary angle?
A complementary angle is an angle that, when added to another angle, forms a right angle (90 degrees). Complementary angles are pairs of angles that add up to 90 degrees.
Angle JKM and angle MKN are complementary angles
so
(3x + 2) + (6x + 7) = 90
9x + 9 = 90
9(x + 1) = 90
x + 1 = 10
x = 9
Hence, the value of the x would be 9.
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After solving the equation the value of the x would be 9. Therefore, the correct option is A.
What is a complementary angle?
A complementary angle is a pair of angles that add up to 90 degrees. Complementary angles can be adjacent angles, or angles that share a common vertex and side, or they can be nonadjacent angles that have no common points or sides. Complementary angles are usually referred to by their sum, such as "90-degree angles" or "angles that add up to 90 degrees." Complementary angles can also be called supplementary angles when they add up to 180 degrees.
Angle JKM and angle MKN are complementary angles
so (3x + 2) + (6x + 7) = 90
9x + 9 = 90
9(x + 1) = 90
x + 1 = 10
x = 9
Hence, the value of the x would be 9.
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Pythagorus' theorem, explain why the length of AC is 17 cm
Answer:
see below.
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]8^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]
64 + 225 = [tex]c^{2}[/tex]
289 = [tex]c^{2}[/tex]
[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]
17 = c
the sum of the measures of the interior angles of a convex polygon is eight times the sum of the measures of its exterior angles. find the number of sides of the polygon
Interior angle-
All interior angles of a regular polygon are equal. The formula for calculating the magnitude of the interior angle is:
Interior angle of polygon = sum of interior angles ÷ number of sides. The sum of the exterior angles of a polygon is 360°.
Exterior angle-
An exterior angle is an angle that is parallel to, but outside, the interior angle of a polygon. The exterior angle measurement is equal to the sum of the two opposite interior angles.
according to the question,
given data
interior angle=8 exterior angle
we know that,
interior angle+ exterior angle=180
let us consider ,
exterior angle=x
so we can say that,
8 exterior angle + exterior angle =180
8x+x=180
9x=180
x=20
we know that ,
the number of sides=360/x
=360/20
=36/2
=18
the number of sides of the polygon is 18
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Type the correct answer in the box. Use numbers instead of words.Isha is a pet sitter.She earns $5 for each cat.She earns $12 for each dog.Last week, Isha pet sat for 11 cats and 7 dogs.How much money did Isha earn pet sitting last week?
By evaluating a revenue equation, we will see that she earned $139 last week.
How much money did Isha earn pet sitting last week?We know that Isha is a pet sitter, and she earns $5 for each cat and $12 for each dog.
So, if she pet sats for x cats and y dogs, the revenue will be:
R(x, y) = $5*x + $12*y
In this case we know that she pet sat for 11 cats and 7 dogs, then we have:
x = 11
y = 7
So we need to evaluate the above revenue function, we will get:
R(11, 7) = $5*11 + $12*7
R(11, 7) = $55 + $84
R(11, 7) = $139
Isha earned $139 last week.
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Hi sorry for the mistake this is the photo I was meant to post and I need help with number 6(iii)
Answer:
-2
Step-by-step explanation:
Given,
g(x) = f(4)
or, 2 - 4x = 3*4 - 2
or, 2 - 4x = 10
or, 2 - 10 = 4x
or, -8 = 4x
or, x = -2
A customer paid a total of $6.00 for 68 copies at a print shop. Some copies were black and white copies, the rest were color copies.
• each black and white copy cost $0.08
• each color copy cost $0.15
Which system of equations can be used to find b, the number of black and white copies and c, the number of color copies that the customer paid for at the print shop?
Answer:
D. b + c = 68
0.08b + 0.15c = 6.00
Step-by-step explanation:
The total cost is $6.00
The total amount of copies is 68
To find the total cost, we multiply the amount of copies by the individual price. So we get
0.08b + 0.15c = 6.00
We add the amount of copies bought to get a total of 68, so we get this equation:
b + 6 = 68
-8x < 32
Do what on both sides and change or keep the inequality sign?
See picture please
The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4
The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.
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