A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.
What is a normal distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.
An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.
The distribution's mean is another name for the center of the range.
Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.
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y=1/4x+3 in standard form
Answer:
Step-by-step explanation:
2
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
Diana's savings will be 280 dollars after four weeks.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
300 - 5x
Where x represents the number of the week.
We have to determine Diana's savings after four weeks
As per the question, we have
⇒ 300 - 5x
Substitute the value of x = 4 in the above expression
⇒ 300 - 5(4)
⇒ 300 - 20
⇒ 280
This means her savings will be 280 dollars after four weeks.
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The question seems to be incomplete the correct question would be:
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
What is her savings after four weeks?
Kaj and her children went into a grocery store and she bought $8 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought 2 more apples than bananas. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Kaj bought.
Kaj bought 3 bananas and 5 apples.
Finding the numbers of apples and bananas using substitution method.To determine the number of apples and bananas that Kaj bought, we can set up a system of equations.We know that the total amount spent on apples and bananas is $8.We know that each apple costs $1 and each banana costs $0.50.We know that Kaj bought 2 more apples than bananas.From these three pieces of information, we can set up the following two equations:
x + y = 8 (The total number of apples and bananas is 8)x + 0.5y = 8 (The total amount spent is $8)x = y + 2 (Kaj bought 2 more apples than bananas)We can substitute the third equation into the first equation and get:
y+2 + y = 8
So we know that y = 3
Now we can substitute this value into the second equation and get:
x + 0.5(3) = 8
So we know that x = 5
So Kaj bought 3 bananas and 5 apples.
And also we can substitute y = 3 into the third equation and get:
x = y + 2
So we know that x = 5
So Kaj bought 3 bananas and 5 apples.
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If radii of two concentric circle are 28 cm and 18 cm respectively if the perimeter and the area of the circle are numerically equal then find the radius of the circle
1. The area of two concentric circles with radii 28 cm and 18 cm is 460π cm^2.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle is 2 units.
What are concentric circles?
Concentric circles are those that share a common centre but have differing radii. It is described as two or more circles with the same centre, in other words.
The radii of two concentric circles are 28 cm and 18 cm.
The bigger circle has a radius of r1=28 cm and the smaller circle has the radius of r2=18 cm.
Area of two concentric circles is -
A = π[(r1)^2-(r2)^2]
A = π[(28)^2-(18)^2]
A = π[(28+18)(28-18)]
A = π[46 × 10]
A = 460π cm^2
Therefore, the area of concentric circle is 460π cm^2.
The formula for perimeter of the circle is 2πr, and the formula for the area of the circle is πr^2, where r is the radius of the circle.
Now, according to the data given the perimeter and area of the two circles are equal.
So, the equation will be 2πr = πr^2.
2πr = πr^2
2π = πr
r = 2 units
Therefore, the radius is 2 units.
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1. If radii of two concentric circle are 28 cm and 18 cm respectively. Find the area of the concentric circles.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle.
The graphs of lines f an g are shown on the grid. Write a system of equations to represent this graph.
The Equation of line F is y= -9/2x + 59/2.
The Equation of line G is y = 1/10 x .
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
For Line F:
slope = -9 /2
and, Equation of line F as
y - (-2) = -9/2 (x -(7))
y + 2= -9/2( x- 7)
y = -9/2x + 63/2 -2
y= -9/2x + 59/2
For Line G:
Slope = (0 -(1))/ ( 0-(10))
slope = 1/10
and, Equation of line G as
y - (1) = 1/10 (x -10)
y-1 = 1/10 x - 1
y = 1/10 x
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The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRYYYYYYYYYYY
The area of the floor in the scale drawing is 60 inches²
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Actual rectangular floor.
Length = 24 feet
Width = 40 feet
Scale rectangular floor.
Length = 6 inches
Width = 40/4 = 10 inches
The area of the scale rectangular floor.
= Length x Width
= 6 x 10
= 60 icnhes²
Thus.,
The area of the floor is 60 inches².
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The question is in the picture I would appreciate if you could explain how to get the answer thank you.
Answer: the cost for Internet increase by 5/4 per minute
Step-by-step explanation:
Contradiction Club holds a yearly proof competition, with special unique prizes for first, second, third, and fourth place. If 16 students enter the competition this year, how many ways can these prizes be distributed among the students
A proof competition is held annually by Contradiction Club, with special prizes awarded for first, second, third, and fourth place. If 16 students participate in the competition this year, the awards can be allocated among the students in 120 different ways.
How many ways can five different prizes be distributed among five people?120 ways, The first person has a choice from 5 prizes, the second has a choice from 4 prizes, and so on. The awards can be awarded in 5 different ways, or 5 × 4 × 3 × 2 × 1 = 120 different ways. When each student is qualified for each reward, the number of ways that 5 prizes can be distributed to 8 students is. [tex]5^(8)``8^(5)``8xx5!``5 xx 8!`[/tex] You may clear your doubts and achieve good exam results with the help of step-by-step solutions provided by specialists.For the first reward, there are 8 options. There are then 7 options for the second prize. Furthermore, there are 6 options for the third prize. As a result, there are 336 ways: 8 × 7 × 6. ∴ Total ways = 4× 3 ×2 = 24 ways = 4!To learn more about Contradiction Club refer to :
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A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed.
Explain how the Distributive Property can be used to solve the equation 3(x+4)=36. Multiply the first term in the parentheses by 3, then add 3 to the second term in the parentheses. Then solve the equation using inverse operations.
Ella stacks two boards under a table to make it level. One board is inch thick. The
other board is inch thick. Which equation most closely estimates the thickness of
the two boards?
"Thickness of two boards = Thickness of first board + Thickness of second board" would be the closely estimated equation.
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, separated by the 'equal' sign.
Define quadratic equation.x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
The thickness of the two boards together can be represented by the sum of the thickness of each individual board. Therefore, the equation that most closely estimates the thickness of the two boards stacked together is:
Thickness of two boards = Thickness of first board + Thickness of second board
So in this case, the equation would be:
Thickness of two boards = inch + inch
This equation gives the total thickness of two boards stacked together and it's the closest estimation.
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What is the formula for vector direction?
The formula for vector direction is: Direction = arctan (y/x) , Where x is the x component of the vector and y is the y component of the vector.
1. Find the x and y components of the vector
2. Divide the y component by the x component
3. Calculate the arctan (inverse tangent) of the result
4. The result is the direction of the vector in radians (or degrees if you prefer).
If you want to convert the result from radians to degrees, you can use the following formula:
(in degrees) = arctan (y/x) * (180/π)
Where π (pi) is approximately equal to 3.14.
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y = 2x + 3
y = 2x + 1
Answer:
This is how you graph it
Step-by-step explanation:
As seen in the equations above, this equation can fit into the equation y=mx+b. M = slope, where is how we will be able to plot the points. Since the slope for both is two, we would go up 2 then right 1, from the y intercept. Which is the point we will be starting at. Plot two points directly on the y-axis at (0,3) and (0,1). Then go back to the slope and go up 2 and right 1. I hope I helped!
OrScruffy Pals Pet Boxes sends pet supplies in the mail each month. Irma prepaid a 4-month subscription for her cats. She used a one-time coupon and received $8 off the total cost. Irma paid $64 in all. Which equation can you use to find m, the regular cost per month?
We employ the following equation to get the normal monthly cost:
4m - 8 = 64
Regular monthly expenses amount to $18.
Irma paid for her cats' subscription in advance for a 4-month period.
She saved $8 overall when she utilized a one-time discount.
Irma totaled $64 in payment.
We must identify the equation that can be utilized to calculate m, the average monthly cost.
Let's use m to symbolize the normal monthly expenditure. She signed up for a subscription that would last for four months, thus the full price without the voucher is 4m.
When the coupon is used, the final price is (4m - $8), since she was given a $8 discount.
Irma paid a total of $64 according to the problem, thus we can create the following equation:
4m - $8 = $64
We must now solve for m in order to determine it. Isolating 4m on one side of the equation will be our first step.
4m = $64 + $8
4m = $72
Finally, divide both sides by 4 to solve for m:
m = $72 / 4
m = $18
So, the regular cost per month, m, is $18.
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Need help With answer
Answer:
Step-by-step explanation:
from the graph we konw the ∠ABD=∠DBC, because ∠DBC=20, so ∠ABD=20
Gracie has made 2 gallons o punch that contains 50% juice. After Gracie pours out some of her mixture and replaced with an equal amount of pure 100% juice, she has 2 gallons of punch that contains 65% juice. How many gallons of the original mixture did Gracie pour out? Express your answer as a common fraction.
Gracie poured out 3/10 gallons of the original mixture.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that Gracie has made 2 gallons o punch that contains 50% juice. After Gracie pours out some of her mixture and replaced with an equal amount of pure 100% juice, she has 2 gallons of punch that contains 65% juice.
Assume that she pour out {x} gallons of original mixture. We can write -
{50% of 2} - {x} = {(100 - 65)% of 2}
{50/100 x 2} - {x} = {35/100 x 2}
{1/2 x 2} - {x} = {35/100 x 2}
1 - x = 7/10
1 - 0.7 = x
x = 0.3
x = 3/10
Therefore, Gracie poured out 3/10 gallons of the original mixture.
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Señor Ochoa is planting a garden in the corner of his yard. Before he does any planting, however, he wants to make a
scale drawing showing where he wants each vegetable and fruit to go. So far, he has drawn the perimeter of his garden.
The actual length of the vertical and horizontal legs of his triangular garden is 3 meters.
6 cm
6 cm
8. 5 cm
After making his drawing, he decides that his scale is way too small. Instead, he wants the vertical and horizontal legs of
the triangle on his drawing to be 18 centimeters. Make a new scale drawing with the new dimensions of the scale
drawing. Make sure to label all three sides of the garden and include the new scale.
Señor Ochoa draws the perimeter of the garden with actual length of the vertical and horizontal legs of his triangular garden 3 meters as 6cm in his initial drawing with 18.5cm third side. Then new drawing with the vertical and horizontal legs of 18 cm
A scale drawing is a representation of an object or space that is reduced or enlarged in proportion to the actual size. To make a new scale drawing of Señor Ochoa's garden with the new dimensions of 18 centimeters for the vertical and horizontal legs of the triangle, you would need to apply a scale factor of 18/6 = 3 to the original drawing.
So, you would multiply each original dimension by 3 to get the new dimensions for the scale drawing.
The new scale drawing would be:
6cm × 3 = 18cm
6cm × 3 = 18cm
8.5cm × 3 = 25.5cm
The new scale is
= scale dimension/ original dimension
= 18cm/ 3m
= 18cm/ 300cm
= 3/ 50
It is also worth noting that as you are changing the scale, the measurement of the hypotenuse of the triangle would be affected, which is the square root of 3 meters, that would be approximately 25.5cm, which is the same as the original measurement on the original drawing.
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Factor the expression completely.
x^4-17x^2+72
Step-by-step explanation:
x^4-9x^2-8x^2+72
x^2(x^2-9)-8(x^2-9)
(x^2-8)(x^2-9)
(x^2-8)(x+3)(x-3)
Daily Question 8/4/20: Cities A, B, C, D, and E are connected by roads AB, AD, AE, BC, BD, CD, and DE (see figure). How many different routes are there from A to B that use each road exactly once?
Geometrically there are 16 different routes from A to B that use each road exactly once.
What is geometry?
The area of mathematics known as geometry is concerned with the dimensions, sizes, forms, and angles of a wide range of everyday objects. Geometry comes from the Ancient Greek terms "geo" and "metron," which both imply "measuring."
Keep in mind that cities C and E can be excluded from the count of paths because there is only one road that can lead out of either city if a path enters it. The geometric diagram is shown below.
Now move on to the casework. It's important to keep in mind that there are two routes from A to D, D to A, B to D, and D to B.
Case 1: A⇒D: If the path from D leads back to A, the subsequent path must go to B⇒D⇒B. The path ADABDB has 2×1×2=4 possible outcomes. The path must continue with either BDAB or BADB if it leads from B to D. There are 8 possibilities as 2×2×2=8. Therefore, there are 4+8=12 potential outcomes in this scenario.
Case 2: A⇒B: BDADB must be the next step on the path. There are 2×2=4 options in this situation.
Combining the two situations results in 12+4=16.
Therefore, there are 16 different routes.
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How do you find the missing side of a 30 60 90 triangle?
A 30-60-90 triangle is a right triangle where the three interior angles are 30°, 60°, and 90°.
Let, the shorter leg of a 30 60 90 triangle is equal to a. Then:
The second leg is equal to a√3;The hypotenuse is 2a;The area is equal to a²√3/2; andThe perimeter equals a(3 + √3).If we know the shorter leg length, we can find out that:
Longer leg= √3 times of shorter leghypotenuse= twice the shorter legIn the 30 60 90 triangles :
For angles, the ratio is 1:2:3 (30°: 60°: 90°)For sides, the ratio is 1 : √3: 2Read more about the right triangle:
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Kelly started running around a track two laps before Anne. They are running at the same speed. Write an equation to find the number of laps, y Kelly
has run given the number of laps, X Anne has run.
1. X= 2y
2. Y= 2x
3. X= y+2
4. Y= x+2
Answer:
Step-by-step explanation:
Using a number line, find both the intersection and the union of the following
intervals:
(-3,∞) and (4,∞)
The answer choice which represents a number line for the intersection of the given intervals is; (4, ∞).
The answer choice which represents a number line for the union of the given intervals is; (-3, ∞).
What is the number line representation of the intersection and union of the given intervals?It follows from the task content that the number line which represents the intersection and union of both intervals given is to be determined.
Since the given intervals are; (-3, ∞) and (4, ∞)
It follows that the intersection of both intervals is the interval; (4, ∞).
Also, the interval which represents the union of both intervals is; (-3, ∞).
Hence, the image which represents both scenarios is attached.
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Step 4: Calculating the right recipe for Jerome
Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.
How many cups of energy drink does Jerome need to make?
Answer:
44
Step-by-step explanation:
If there are 22 people running and they each want two energy drinks, then Jerome needs to make 44 cups. 22 times 2 is 44
What is the midpoint formula of quadratic equation?
The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.
This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.
This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.
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What should be the value of a if the value of 2x² XA 4 equals to 5 when X 0?
The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.
The given question is in the form of an equation.
let's try to understand what is an equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,
the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
There are so many types of equations present linear equations, quadratic equations, and cubic equations.
According to the degree of the equation so many different types of equations.
2x^2 + x -a + 4 = 5 put x = 0.
2*0 + 0 - a + 4 = 5
-a + 4 = 5
-a = 5 - 4
-a = 1
a = -1.
So the value of a is -1.
Given Question is incomplete complete question here
What should be the value of a if the value of 2x^2 + x -a + 4 equals to 5 when x =0.
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Select the correct answer. A figure shows a pyramid of height 3 h and a rectangular prism of height h. This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the pyramid to the volume of the prism? A. volume of pyramid volume of prism = 1 B. volume of pyramid volume of prism = 1 9 C. volume of pyramid volume of prism = 3 D. volume of pyramid volume of prism = 2 3 Reset Next
Answer:
Step-by-step explanation:
The ratio of the volume of the pyramid to the volume of the prism is 1.so, the option A. is correct.
Let the base of the base of a prism is b and the height of the prism is h.
so, the volume of the prism-
V= [tex]b^{2}[/tex] h
also, given that base of the given pyramid is also b and the height of the pyramid is three times the height of the prism.
h'=3h
so, the volume of the square pyramid-
V'=[tex]\frac{1}{3}[/tex][tex]b^{2}[/tex]h'
V'=[tex]\frac{1}{3}[/tex][tex]b^{2}[/tex](3h)
V'=[tex]b^{2}[/tex]h
so, now-
[tex]\frac{V'}{V}[/tex]=[tex]\frac{b^{2}h }{b^{2}h }[/tex]
[tex]\frac{V'}{V}[/tex]= 1
so. the ratio of the volume of the pyramid to the volume of the prism is 1.
Julia take a bead from the bag at random
c) how that the probability that thi bead i purple
The probability that the bead taken from the bag is purple or red is total is 0.75 or 3/4.
The total number of beads in the bag is 12.
Out of these, 3 are purple and the rest are red (12-2-1-3 = 6). So, the probability of drawing a purple bead is 3/12 and the probability of drawing a red bead is 6/12.
To find the probability of drawing either a purple or red bead, we add the individual probabilities together: (3/12) + (6/12) = 0.25 + 0.5 = 0.75. This means that there is a 75% chance that the bead taken from the bag will be purple or red.
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The complete question is -
Write down the letter of the event that is likely. bag contains 12 beads_ 2 of the beads are blue: of the beads are green: 3 of the beads are purple: The rest of the beads are red: Julia takes a bead from the bag at random c) Show the probability that this bead is purple Or red is Totulmen.
determine the number of 8x8x16 concrete masonry units needed to construct a foundation wall 104" high with a 120" perimeter. include 10% for waste
The number of concrete masonry units needed to construct a foundation wall is 102.
What is volume?The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given, a foundation wall 104" high with a 120" perimeter.
Since, perimeter of square = 4 * side
120 = 4 * side
side = 30"
Hence area of the foundation wall = side²
area of the foundation wall = 30² = 900
volume of the foundation wall = area * height
the volume of the foundation wall = 104 * 900 = 93,600"
The volume of the concrete masonry whose length, width, and depth are 16, 8, and 8 respectively is
Volume of masonry = 8 * 8 * 16
The volume of masonry = 1024
since 10 % of masonry goes to waste.
Thus the effective volume of the masonry = 1024*0.9 = 921.6
total masonry required = 93600/ 921.6 = 101.56
therefore, To build a foundation wall, 102 concrete masonry units are required.
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5. A softball has a diameter of 8. 3 in. How many softballs will fit inside of a storage unit 4 that is 15 feet wide, 10 feet long, and 5 feet high?
4366 softballs will fit inside of a storage.
What is volume ?
A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.
The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."
Diameter of softball = 8.3 in
Radius of softball = 4.15 in
= 0.345 ft
Volume of sphere = 4/3 π r³
= 4/3 π (0.345)³
= 4/3 * 0.1289
= 0.1718
Volume of cuboid = l * b * h
= 15 * 10 * 5
= 750
Number of softballs that can fit inside the storage = 750 / 0.1718
= 4366
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What is the difference of the two polynomials 9x 2 8x 2x 2 3x?
The difference between the two polynomials (9x²+8x)-(2x²+3x) is 7x²+5x.
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. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here,
The difference between the two polynomials (9x²+8x)-(2x²+3x) is 7x²+5x.
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……………………………………………………………………………
Answer:
ITS 64 degrees
Step-by-step explanation:
Answer:
116
Step-by-step explanation:
hope this helps:)..........