Yuri will spend $ X more on concrete than on soil and wood.
When answering questions on Brainly, it is important to be factually accurate, concise, and professional.
It is also important to provide a step-by-step explanation of how you arrived at your answer.
The question is asking about the cost of materials for a patio, garden, and deck.
Let's break down the information we have.
Area of the patio = enter your response
Here
Cost of concrete = $ enter your response
Here
Area of the garden = enter your response
here
Cost of soil = $ enter your response
here
Total area of the deck = enter your response
here
Cost of wood = $ enter your response
here
Yuri will spend $ enter your response here more on concrete than on soil and wood.
To find the cost of each material, we need to multiply the area by the cost per unit area.
For example, the cost of concrete would be the area of the patio multiplied by the cost of concrete per unit area.
Let's call the cost per unit area for concrete C, the cost per unit area for soil S, and the cost per unit area for wood W.
Area of patio = P
Cost of concrete = C
Area of garden = G
Cost of soil = S
Total area of deck = D
Cost of wood = W
Yuri will spend X more on concrete than on soil and wood.
To find the values of P, C, G, S, D, and W, we need to use the information given in the question.
However, some values are missing.
We can use the given information to create equations that will help us find these values.
For example, we know that the total area of the deck is the sum of the area of the patio and the area of the garden, so we can write:
D = P + G
Similarly, we can write an equation for the cost of each material.
For example, the cost of concrete is the area of the patio multiplied by the cost per unit area for concrete, so we can write:
C = P * C
Similarly, we can write equations for the cost of soil and wood:
S = G * W, W = D * W
Now we have three equations and three unknowns: P, G, and D. We can solve this system of equations to find these values.
Let's solve for P and G first.
We'll use the equation
D = P + G
to eliminate G from the equations.
C = P * CS = G * WP = D - G
Substitute P = D - G into the first two equations.
C = (D - G) * CW = D * W - G * W
Now we have two equations and two unknowns: D and G.
We can solve for these values.
We'll use the equation
W = D * W - G * W
to eliminate W from the equations.
C = (D - G) * CS = G * SD = P + G = 2G - (W / C)
Substitute D = P + G into the first two equations.
C = P * C + G * CS = G * SW = P + G - DC = P * C + (D - P) * C + (W / C) * C = 2P * C + W
We can now solve for P, G, and D.
P = (C + S + W / C) / 2G = (S + W / C) / 2D = P + G = (C + S + W / C) / 2 + (S + W / C) / 2P = enter your response
here
C = enter your response
here
S = enter your response
here
W = enter your response
here
G = enter your response
here
D = enter your response
here
Now we can find the value of X, which is the difference between the cost of concrete and the combined cost of soil and wood.
X = C - (S + W)X = enter your response.
The area of the patio is enter your response here , so the cost of concrete is $ enter your response here. The area of the garden is enter your response here , so the cost of soil is $ enter your response here. The total area of the deck is enter your response here , so the cost of wood is $ enter your response here.
For similar question on cost
https://brainly.com/question/29509552
#SPJ11
Question:
Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood?
give the number of total electron groups, the number of bonding groups, and the number of lone pairs for geometry (a). express your answer as integers separated by commas.
Hence, the answer is (4, 3, 1).In conclusion The answer provided above is concise and ng factually correct, and it addresses the question directly.
In order to determine the number of total electron groups, bondiroups, and lone pairs for geometry (a), we need to use the VSEPR theory. According to this theory, the electron groups around a central atom in a molecule will arrange themselves in a way that minimizes their repulsion. The total number of electron groups includes both the bonding and lone pairs of electrons.To determine the number of electron groups for geometry (a), we first need to determine the molecular geometry of the molecule.
From the given name, we can assume that geometry (a) is tetrahedral. In a tetrahedral molecule, there are four electron groups: three bonding groups and one lone pair. Therefore, the number of total electron groups for geometry (a) is four, the number of bonding groups is three, and the number of lone pairs is one.
for such more questions on VSEPR theory.
https://brainly.com/question/26498231
#SPJ11
miguel rode his bicycle 4 miles less than 5 times the number nathen rode. if Miguel rode his bicycle 6 miles, how many miles did nathan ride?
Answer:Hence, Nathan rode 2 miles
Step-by-step explanation:ask if you need any questions
Write an equation that describes the function.
4. Input, x Output, Y
0 0
1 4
2 8
3 12
Answer:
Y = 4x
Step-by-step explanation:
In this equation, x represents the input value, and Y represents the output value. Coefficient 4 illustrates the rate of change or slope of the function, indicating that for every unit increase in x, the value of Y increases by four units. When x is 0, Y is also 0, consistent with the given data. Similarly, when x is 1, 2, and 3, Y is 4, 8, and 12, respectively, matching the provided output values.
Solve the triangle please help me!!
The value of the side of the triangles are;
18. 17. 89
19. y = 9. 43, x = 5. 67
How to determine the valuesUsing the Pythagorean theorem stating that the square of the hypotenuse side is equal to the sum of the squares of the other two sides of a triangle.
From the diagram shown, we have;
21² = 11² + x²
find the squares
441 = 121 + x²
collect the like terms
x² = 320
Find the square root
x = 17. 89
To determine the value of y
sin 59 = y/11
y = 11 × 0. 8571
y = 9. 43
To determine the value of x
11² - 9. 43² = x²
x = √32.096
x = 5. 67
Learn about Pythagorean theorem at: https://brainly.com/question/27997683
#SPJ1
Any number that can be written as a decimal, write as a decimal to the tenths place.
Given A = (-3,2) and B = (7,-10), find the point that partitions segment AB in a 1:4 ratio.
The point that partitions segment AB in a 1:4 ratio is (
).
The point that partitions segment AB in a 1:4 ratio is [tex]P = \left(-1, -\frac{2}{5}\right)$[/tex].
How to find the ratio?To find the point that partitions segment AB in a 1:4 ratio, we can use the section formula.
Let P = (x, y) be the point that partitions segment AB in a 1:4 ratio, where AP:PB = 1:4. Then, we have:
[tex]$\frac{AP}{AB} = \frac{1}{1+4} = \frac{1}{5}$$[/tex]
and
[tex]$\frac{PB}{AB} = \frac{4}{1+4} = \frac{4}{5}$$[/tex]
Using the distance formula, we can find the lengths of AP, PB, and AB:
[tex]AP &= \sqrt{(x+3)^2 + (y-2)^2} \\PB &= \sqrt{(x-7)^2 + (y+10)^2} \\\ AB &= \sqrt{(7+3)^2 + (-10-2)^2} = \sqrt{244}[/tex]
Substituting these into the section formula, we have:
[tex]$\begin{aligned}x &= \frac{4\cdot(-3) + 1\cdot(7)}{1+4} = -1 \ y &= \frac{4\cdot2 + 1\cdot(-10)}{1+4} = -\frac{2}{5}\end{aligned}$$[/tex]
Therefore, the point that partitions segment AB in a 1:4 ratio is [tex]P = \left(-1, -\frac{2}{5}\right)$[/tex].
To know more about Segment visit;
brainly.com/question/30161863
#SPJ1
At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot.
Answer: the team amassed 88i points total, by shooting t two-point baskets and u 1-point free throws.
t+u = 53
total is: 2t + u = 88.
Step-by-step explanation:
hope i makes sense
number 5 goes through the device and the result is 25 . what would a possible rule for machine B be ?
Answer: multiplied by 5 or squared
Step-by-step explanation:
If the number 5 goes in and 25 is the result, the rule could be multiplying by 5 or squaring the number that goes in (input).
5 x 5 = 25
5^2 = 25.
Find the linear measure of arc KML on OO, where line segment KM is a diameter, OM=36, and angle KOL-145. Use 3. 14 for pie and estimate your answer to two decimal places
The linear measure of arc KML on OO is approximately 3.33 units, rounded to two decimal places.
Since KM is a diameter, angle KOM is a right angle. Therefore, angle KOL is a straight angle, which means that angle MOL is 180 - 145 = 35 degrees.
Now, we can use the fact that the measure of an arc is proportional to the measure of the angle it subtends. In particular, if the measure of an angle in degrees is θ and the radius of the circle is r, then the length of the arc it subtends is given by:
length of arc = (θ/360) * 2πr
In this case, the radius of the circle is half of the diameter KM, which is 36/2 = 18. So we have:
length of arc KML = (35/360) * 2 * 3.14 * 18
≈ 3.33
Therefore, the linear measure of arc KML on OO is approximately 3.33 units, rounded to two decimal places.
To learn more about linear Click here:
brainly.com/question/20286983
#SPJ4
Write ^4√11^5 without radicals.
Answer: ^4√11^5 = 11^(5/4)
Step-by-step explanation: When we apply a radical, we are asking what number, when raised to a certain power, gives us the number under the radical. For example, ^4√16 is asking what number, when raised to the fourth power, gives us 16. The answer is 2, since 2^4 = 16.
So, ^4√11^5 is asking what number, when raised to the fourth power, gives us 11^5. We can simplify this expression using the exponent laws:
^4√11^5 = (11^5)^(1/4) = 11^(5/4)
Therefore, the simplified expression for ^4√11^5 is 11^(5/4). This expression does not have any radicals, making it easier to work with and manipulate.
Hope this helps, and have a great day!
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures whenever appropriate. (Do this on paper. Your instructor may ask you to turn in this work.)
(a) P(0Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.74)
(b) P(0Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve1)
(c) P(-2.40Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve0)
(d) P(-2.40Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve+2.40)
(e) P(ZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve1.63)
(f) P(-1.74Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZ)
(g) P(-1.4Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.00)
(h) P(1.63Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.50)
(a) To find P(0 < Z < 2.74), you'll want to look up the z-score for 2.74 in a standard normal table or use a calculator with a built-in normal distribution function. The probability is the area under the curve between 0 and 2.74.
(b) To find P(0 < Z < 1), you'll look up the z-score for 1 in a standard normal table or use a calculator. The probability is the area under the curve between 0 and 1.
(c) To find P(-2.40 < Z < 0), you'll look up the z-score for -2.40 in a standard normal table or use a calculator. The probability is the area under the curve between -2.40 and 0.
(d) To find P(-2.40 < Z < 2.40), you can first calculate the probability for P(-2.40 < Z < 0) and P(0 < Z < 2.40), and then sum the two probabilities.
(e) To find P(Z > 1.63), look up the z-score for 1.63 in a standard normal table or use a calculator. The probability is the area under the curve to the right of 1.63.
(f) To find P(Z < -1.74), look up the z-score for -1.74 in a standard normal table or use a calculator. The probability is the area under the curve to the left of -1.74.
(g) To find P(-1.4 < Z < 2.00), first look up the z-scores for -1.4 and 2.00 in a standard normal table or use a calculator. Subtract the smaller probability from the larger probability to find the area under the curve between these two values.
(h) To find P(1.63 < Z < 2.50), first look up the z-scores for 1.63 and 2.50 in a standard normal table or use a calculator. Subtract the smaller probability from the larger probability to find the area under the curve between these two values.
LEARN MORE ABOUT PROBABILITY: https://brainly.com/question/13604758
#SPJ11
What percentage of people would exed to score higher than a 2.5, but lower than 3.5? The mean: X=3.00 The SDis= + 0.500 18% 999 o 50% 03%
Therefore, approximately 68.26% of people are expected to score higher than 2.5 but lower than 3.5.
Based on the information provided, the mean (X) is 3.00 and the standard deviation (SD) is 0.50. To find the percentage of people expected to score higher than 2.5 but lower than 3.5, we will use the standard normal distribution (z-score) table.
First, we need to calculate the z-scores for both 2.5 and 3.5:
z1 =[tex] (2.5 - 3.00) / 0.50 = -1.0[/tex]
z2 = [tex](3.5 - 3.00) / 0.50 = 1.0[/tex]
Now, we can use the standard normal distribution table to find the probability of the z-scores. For z1 = -1.0, the probability is 0.1587 (15.87%). For z2 = 1.0, the probability is 0.8413 (84.13%).
To find the percentage of people expected to score between 2.5 and 3.5, subtract the probability of z1 from the probability of z2:
Percentage = [tex](0.8413 - 0.1587) x 100 = 68.26%[/tex]
for such more questions on standard deviation
https://brainly.com/question/475676
#SPJ11
Winston is baking a pie. The diameter of the pie is 12 inches. What is the area of the pie? Use 3.14 for pi and round your answer to the nearest tenth.
The area of the pie is approximately 113.0 square inches.
What is the significance of pi in math?The ratio of a circle's circumference to its diameter is denoted by the mathematical constant pi . It is roughly equivalent to 3.14159 and is not repetitive or terminal. As pi is an irrational number, it cannot be written as an exact fraction of two integers and its decimal representation never ends. Pi is used to compute the characteristics of circles, spheres, cylinders, and other curved objects in many branches of mathematics and science, including geometry, trigonometry, calculus, physics, and engineering.
The area of the circle is given as:
A = πr²
Here, diameter = 12, thus radius is 6 inches.
Substituting the values:
area = 3.14 x (6)²
area = 113.04 square inches
Hence, the area of the pie is approximately 113.0 square inches.
Learn more about area of circle here:
https://brainly.com/question/11952845
#SPJ1
Mr. Kha Lipat wants to earn 8% on his investment. How much money should he invest today in order to receive 400. 00 one year from now?
Mr. Kha Lipat should invest $5,000 today in order to receive $400.00 in interest one year from now at an 8% interest rate.
To calculate how much money Mr. Kha Lipat should invest today to receive $400.00 one year from now at an 8% interest rate, we can use the formula for calculating simple interest though compound intrest:
I = P * r * t
where I is the interest earned, P is the principal (the initial amount invested), r is the interest rate (as a decimal), and t is the time period (in years).
We know that Mr. Kha Lipat wants to earn $400.00 in interest, the interest rate is 8% or 0.08 (as a decimal), and the time period is 1 year. We can plug these values into the formula and solve for P:
I = P * r * t
400 = P * 0.08 * 1
400 = 0.08P
P = 400 / 0.08
P = 5000
Therefore, Mr. Kha Lipat should invest $5,000 today in order to receive $400.00 in interest one year from now at an 8% interest rate.
To learn more about interest Click here:
brainly.com/question/30955042
#SPJ4
Please help me out! Gonna be posting alot of these so if your good at this stay tuned lol but this is sophomore geometry (not advanced)
Answer: 63.8
Step-by-step explanation:
There are 14 muffins in a basket Tina put some on a plane now there are six in the basket. How many muffins does Tina put on the plate?
Answer:
Step-by-step explanation:
All you have to do is subtract 6 from 14. The answer is 8. If the question is something like this one, always take the remainder and subtract it from how many you had in the beginning to get the answer.
Good luck
Peyton
Solve the system of equations.
–6x + y = –21
2x − 1
3
y = 7
What is the solution to the system of equations?
(3, 3)
(2, –9)
infinitely many solutions
no solutions
The closest option is (A) (3,3), which is the correct solution to the system of equations.
EquationsTo find the solution to the system of equations, we need to substitute the value of y in the first equation with the value given in the second equation:
-6x + y = -21 ...(1)
2x - 1/3 y = 7 ...(2)
Substituting y=7 in the first equation, we get:
-6x + 7 = -21
Simplifying the above equation:
-6x = -28
Dividing both sides by -6, we get:
x = 28/6 = 14/3
Substituting x=14/3 and y=7 in the second equation, we get:
2(14/3) - 1/3(7) = 7
Simplifying the above equation, we get:
28/3 - 7/3 = 7
21/3 = 7
Therefore, the solution to the system of equations is (14/3, 7).
Hence, the answer is not in the given options, but the closest option is (A) (3,3), which is not the correct solution to the system of equations.
To know more about Linear Equations in two variables, click here,
https://brainly.com/question/30339221
#SPJ1
What is the area of this parallelogram?
O A = 20 ft²
O A=213ft²
O A = 33 ft²
O A=41 ft²
5 ft
4 ft
81 ft
The area of the given parallelogram is A- 33(1/2) ft² using the base and height of the parallelogram. the correct answer is (c).
What is a parallelogram?A quadrilateral with two sets of analogous edges is appertained to as a parallelogram. In a parallelogram, the opposing edges are of equal length, and the opposing angles are of equal size. also, the internal angles that are supplementary to the transversal on the same side. 360 ° is the sum of all internal angles. A parallelepiped is a three- dimensional shape with parallelogram- shaped sides. The base( one of the analogous lines) and height( the distance from top to bottom) of the parallelogram determine its area. A parallelogram's border is determined by the lengths of its four edges. The characteristics of a parallelogram are participated by the shapes of a square and cell. What's area? The size of a section on a face is determined by its area. face area refers to the area of an open face or the border of a three- dimensional object, whereas the area of an area area plane region or area area plane area refers to the area of a shape or planar lamella.
The area of a parallelogram is given by
[tex]base*height.base=8(1/3)ft[/tex]
height=4ft
[tex]Area=b*h =(25/3)*4 =100/3 = 33[/tex]
[tex][base]\frac{1}{3}[(hieght)] ft^{2}[/tex]
To learn more about parallelogram, visit
https://brainly.com/question/29147156
#SPJ1
Write the linear equation in standard form y=19/14x+13
The linear equation in standard form is 19x - 14y = -182.
What is Linear equation?
A linear equation is a mathematical equation that describes a straight line on a graph. In other words, it is an equation that relates a variable or variables to a constant through a linear function, where the highest power of the variable is one. A general form of a linear equation is:
y = mx + b
To write the linear equation in standard form Ax + By = C, where A, B, and C are integers and A is positive, we need to get rid of the fraction in the equation.
To do this, we can multiply both sides of the equation by the denominator of the fraction, which is 14. This gives:
14y = 19x + 182
Next, we can rearrange this equation by subtracting 19x from both sides:
-19x + 14y = 182
Finally, we can multiply both sides of the equation by -1 to make the coefficient of x positive:
19x - 14y = -182
So, the linear equation in standard form is 19x - 14y = -182.
To learn more about linear equation, visit the link:
https://brainly.com/question/2030026
#SPJ1
Borachio eats at the same fast-food restaurant every day. Suppose the time X between the moment Borachio enters the restaurant and the moment he is served his food is normally distributed with mean 4. 2 minutes and standard deviation 1. 3 minutes. A. Find the probability that when he enters the restaurant today it will be at least 5 minutes until he is served. B. Find the probability that average time until he is served in eight randomly selected visits to the restaurant will be at least 5 minutes
The probability that when he enters the restaurant today it will be at least 5 minutes until he is served is 0.2676 and probability that average time until he is served in eight randomly selected visits is 0.0409.
The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation can be calculated as the square root of variance.
Given that mean μ = 4.2 , standard deviation σ = 1.3
1. P(X >= 5) = P((X - μ)/σ >
= (5 - 4.2) /1.3
= P(Z ≥ 0.6154)
= 1 - P(Z < 0.6154)
= 1 - 0.7324
= 0.2676
The required probability is 0.2676.
2.Given that n = 8 then [tex]\bar x[/tex] = σ/[tex]\sqrt{(n)[/tex] = 1.3/√(8) = 0.4596
P(x-bar ≥ 5) = P(([tex]\bar x[/tex] - μ)/σx-bar ≥ (5 - 4.2)/0.4596)
= P(Z ≥ 1.7406)
= 1 - P(Z < 1.7406)
= 1 - 0.9591
= 0.0409
The required probability is 0.0409.
Learn more about Probability;
https://brainly.com/question/16794285
#SPJ4
in a congressional district, 55% of the registered voters are democrats. which of the following is equivalent to the probability of getting less than 50% democrats in a random sample of size 100?
A. P( z< 50 — 55/ 100 )
B. P( z< 50 — 55/ √55(45)/100)
C. P( z< 55 — 5 / √55(45)/100)
D. P( z< 50 — 55/√100(55) (45))
The correct answer to the question, "Which of the following is equivalent to the probability of getting less than 50% democrats in a random sample of size 100?" is: B. P( z < 50 — 55/ √55(45)/100).
To find the probability, we first calculate the z-score using the formula:
z = (x - μ) / σ
where x is the value (50%), μ is the mean (55%), and σ is the standard deviation.
The standard deviation can be calculated as:
σ = √(np(1-p))
where n is the sample size (100) and p is the proportion of democrats (0.55).
Now, plug in the values into the z-score formula:
z = (50 - 55) / √(100 * 0.55 * 0.45)
The probability is then found as P(z < z-score), which is represented by the option B.
More On Probability: https://brainly.com/question/24756209
#SPJ11
I Really want this pleaseeeeeeeeeeeeeeeeeee
Answer:
no
Step-by-step explanation:
using Pythagorean theorem:
[tex]26^{2} +42^{2}=50^{2}[/tex]
676+1764=2500
2440=2500
2440<2500
Answer:no
A 95 percent confidence interval for the mean time, in minutes, for a volunteer fire company to respond to emergency incidents is determined to be (2.8. 12.3). Which of the following is the best interpretation of the interval? Five percent of the time, the time for response is less than 2.8 minutes or greater than 12.3 minutes. B The probability is 0.95 that a randomly selected time for response will be between 28 minutes and 12.3 minutes Ninety-five percent of the time the mean time for response is between 2.8 minutes and 12.3 minutes. (D) We are 95% confident that the mean time for response is between 2.8 minutes and 12.3 minutes We are 95% confident that a randomly selected time for response will be between 2.8 minutes and 12.3 minutes.
The best interpretation of the interval is: We are 95% confident that the mean time for response is between 2.8 minutes and 12.3 minutes. Option D is correct
A confidence interval is a measure of how accurately an estimate (such as the sample average) corresponds to the actual population parameter. It is a range of values that the researcher believes is very likely to include the actual value of the population parameter.
Here, a 95 percent confidence interval for the mean time, in minutes, for a volunteer fire company to respond to emergency incidents is determined to be (2.8. 12.3). Thus, we can say that we are 95% confident that the mean time for response is between 2.8 minutes and 12.3 minutes. Therefore, option D is correct.
See more about confidence interval at: https://brainly.com/question/16742675
#SPJ11
What is the sum of A+C?  a.the matrices b -2,11,5,0,-2,1 c.12,3,1,-2,2,-1 d. -35,28,6,-1,0,12
Answer:on edge B)-2,11,5,0-2,1
The sum of the matrices A and C from the list of options is the matrix B
Calculating the sum of the matricesGiven the following matrices
Matrix A
| 0 6 2 |
| 1 5 -2 |
Matrix C
| -2 5 3 |
| -1 -7 3|
To find the sum of matrices A and C, we add the corresponding elements in each matrix:
So, we have: A + C
| 0 - 2 6 + 5 2 + 3 |
| 1 - 1 5 - 7 -2 + 3|
Evaluate the sum
| -2 11 5 |
| 0 -2 1 |
This represents option B
Therefore, the sum of matrices A and C is (B)
Read more about matrix at
https://brainly.com/question/2456804
#SPJ1
Complete question
What is the sum of A+C?
Matrix A
| 0 6 2 |
| 1 5 -2 |
Matrix C
| -2 5 3 |
| -1 -7 3|
Would a line through these two points A and B be a good fit for the data? Why or why not?
(Please don’t mind the other words! TvT
2x^4 −15x^3 +27x^2 +2x +8 is divided by x−4
Answer:
Step-by-step explanation:
Standard: 2x^3 - 7x^2 -x-2
Quotient: 2x^3- 7x^2 -x-2
remainder: 0
determine the percentage of children who experience relief for less than four hours if the relief time follows a lognormal distribution.
Around 0.13% or 0.0013 of children find relief for less than four hours.
The percentage of children who experience relief for less than four hours if the relief time follows a lognormal distribution is determined as follows:
Step 1: Define the parameters of the problem. Assume that relief times are normally distributed with a mean of μ = 5.5 hours and a standard deviation of σ = 0.5 hours. We want to find the percentage of children who experience relief for less than four hours.
Step 2: Convert the normal distribution to the standard normal distribution using the formula: z = (x - μ) / σwhere x is the relief time in hours.
Step 3: Find the z-score corresponding to the value of x = 4:z = (4 - 5.5) / 0.5 = -3
Step 4: Use a standard normal distribution table to find the percentage of the area under the curve to the left of z = -3. This is equivalent to the percentage of children who experience relief for less than four hours.
Using the standard normal distribution table or calculator, we get that the percentage of children who experience relief for less than four hours is approximately 0.13% or 0.0013.
To know more about lognormal distribution refer here:
https://brainly.com/question/15561674#
#SPJ11
Find the surface area of the solid. Round your answer to the nearest tenth
if necessary.
Area of the solid composite shape with triangle and rectangle is =832cm².
Define area of composite shapes?The area of a composite shape can be determined by adding or subtracting its component pieces.
Hence, we can use two formulas:
Area of Composite Shape + Area of Composite Shape + Area of Basic Shape A (additive)
Basic Shape Area A, Basic Shape Area B, and Composite Shape Area (subtractive)
In the figure,
Dimensions of the triangle are height, h = 16cm and base, b = 12cm.
Area = 1/2 ×b ×h
= 1/2 × 16× 12
=96cm²
There are two triangles, so the total area = 96+ 96 = 192cm².
Now area of the rectangle = length × width
= 20 × 32
= 640cm².
Total area of the solid= 192 + 640 = 832cm².
To know more about area, visit:
https://brainly.com/question/16890298
#SPJ1
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(9x-1)º
74°
62°
PLS HURRY!!
In the given triangle, the value of x = 5.
What is a triangle's definition?
A triangle is a geometrical shape that is defined as a polygon with three sides and three angles. It is a closed figure with three line segments as its sides, and these sides intersect at three points, which are called vertices. When we add all the angles of a triangle then the result will always be 180°.
Now,
As we know the property of a triangle that
sum of all angles of triangle=180°
given angles are (9x-1)°, 74° and 62°
then,
9x-1+74+62=180°
9x+135=180
9x=45
x=5
Hence,
the value of x is 5.
To know more about triangles visit the link
brainly.com/question/2773823
#SPJ1
How do I solve this challenging math problem?
Answer:
13/32
Step-by-step explanation:
You want the area of the shaded portion of the unit square shown.
CircumcenterPoints B, C, E are shown as equidistant from point F, so will lie on a circle centered at F. The center of that circle is at the point of coincidence of the perpendicular bisectors of BE, BC, and CE.
Without loss of generality, we can let line EF lie on the x-axis such that E is at the origin. Chord EB of the circle has a rise of 1/2 for a run of 1, so a slope of 1/2. Its midpoint is (1, 1/2)/2 = (1/2, 1/4). The perpendicular line through this point will have slope -2, so its equation can be written ...
y -1/4 = -2(x -1/2)
y = -2x +5/4
Then the x-intercept (point F) will have coordinates (0, 5/8):
0 = -2x +5/4 . . . . . y=0 on the x-axis
2x = 5/4
x = 5/8
TrapezoidTrapezoid EFCD will have upper base 5/8, lower base 1, and height 1/2. Its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(5/8 +1)(1/2) = (1/4)(13/8) = 13/32
The shaded area is 13/32.
__
Additional comment
The point-slope equation of a line through (h, k) with slope m is ...
y -k = m(x -h)
What is the base, rate of change (incr/decr), and is it growth or decay
Y=3000(0.72)^x
The key features of the function are Base = 0.72, Rate = decrement and it decays
identifying the key features of the functionGiven that
y = 3000 * (0.72)ˣ
The given equation is in the form of exponential decay:
Base: The base of the exponential function is the constant term that is being raised to a power. In this case, the base is 0.72.
Rate of change: The rate of change is the factor by which the function is being multiplied or divided as the input variable increases.
Since the base is less than 1, the function is decreasing as x increases. The rate of decrease is given by the base, which is 0.72.
Growth or decay: As the base is less than 1, the function is decreasing, which means it is a decay function.
Read more about exponential function at
https://brainly.com/question/2456547
#SPJ1