Answer:
4π
Step-by-step explanation:
The Period, as measured from crest-to-crest (or from trough-to-trough), is 4π, as read directly from the graph
Please help due tonight!!!!!!
Answer: -4,9 I AM PRETTY SURE FROM ALL OF MY RESEARCH SIORRY IF I AM WRONG I WISH YOU GOODLUCK
Step-by-step explanation:
kylie has 1/3 of a cake she divides it equally 8 how much does she have left
Answer:
1/24
Explanation:
1 1 8
- ÷ 8 This translates to: - ÷ -
3 3 1
1 1
- = -
3x8 24
Hope this helps!
A spherical boulder Is 24 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for n.
Answer:
5425.92
Step-by-step explanation:
radius(r)=d/2
=24/2
=12ft
So,
Volume=πr^3
=(3.14*12^3)cubic feet
=5425.92cubic feet
Answer:
V≈7238.23 [ft³].
Step-by-step explanation:
1. formula of the required volume is
[tex]V=\frac{4}{3} \pi R, \ where \ R-radius.[/tex]
2. if diameter is 24 ft., then R=12 [ft] and the required volume is:
[tex]V=\frac{4}{3} *3.1415*12^3=7238.2294[ft^3].[/tex]
Students
does not use
uses
Total
does not use
141
94
Parents
235
a) List the two variables in this table.
b) What is the observational unit?
uses
85
125
210
c) How many students total do not use drugs?
Total
226
219
445
d) What is the total number of student-parent pairs in this study?
Answer:
a) The two variables in this table are "students" and "parents".
b) The observational unit in this study is a student-parent pair.
c) The total number of students who do not use drugs is 141.
d) The total number of student-parent pairs in this study is 445.
Step-by-step explanation:
a) The two variables in this table are "students and parents" who do not use drugs and those who use drugs.
b) The observational unit in this study is a student-parent pair.
c) The total number of students who do not use drugs is 141.
d) The total number of student-parent pairs in this study is 445.
What is an observational unit?An observational unit is described as an entity for which data is collected and analyzed and enables conclusions to be drawn about its characteristics.
An observational unit is assigned a value based on the collected data.
On the other hand, we define a variable as the piece of information being collected from each observational unit.
Does not use Uses Total
Students 141 94 235
Parents 110 100 210
Total 251 194 445
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The Wilson family's back yard is a rectangular plot that has a length of 100 feet and a width of 80 feet. The family planted a garden with a length and width of 60 feet. The family planted a lawn in the remaining area of the back yard, as shown.What is the area, in square feet, of the lawn in the Wilson family's back yard?
The area of the lawn in the Wilson family's back yard is 4400 square feet.
The Wilson family's back yard is a rectangular plot that has a length of 100 feet and a width of 80 feet.
Let us assume that A₁ be the area of the reactangular plot.
Using the formula for the area of rectangle,
A₁ = 100 × 80
A₁ = 8000 sq. ft.
The family planted a garden with a length and width of 60 feet.
This means, the shape of the garden must be square.
Using the formula for the area of square,
A₂ = 60 × 60
A₂ = 3600 sq. ft.
The family planted a lawn in the remaining area of the back yard, as shown.
Let us assume that A represents the area of the lawn in the Wilson family's back yard.
A = A₁ - A₂
A = 8000 - 3600
A = 4400 sq. ft.
Therefore, the required area is: 4400 sq.ft.
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Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V says: At least three of us are knights. W says: At most three of us are knights. X says: Exactly five of us are knights. Y says: Exactly two of us are knights. Z says: Exactly one of us is a knight. Which are knights? (Select all that apply.) U V w MX OY Z Which are knaves? (Select all that apply.) U V w MX Z X
In this type of puzzle, "knight" means that the speaker is telling the truth, and "knave" means that the speaker is lying.
Let's start by analyzing the first two statements:
U says: None of us is a knight.
V says: At least three of us are knights.
If U is a knight, then his statement is false, meaning that at least one of the six is a knight, which contradicts V's statement that at least three of them are knights. Therefore, U must be a knave.
Next, let's look at the statement of W:
W says: At most three of us are knights.
If W is a knight, then his statement is true, meaning that there are three or fewer knights among the six. Since U is a knave, this would mean that at most two of the remaining five are knights, which contradicts V's statement that at least three of them are knights. Therefore, W must be a knave.
Continuing in this way:
X says: Exactly five of us are knights.
If X is a knight, then his statement is false, meaning that exactly five of them are not knights. But since U is a knave, this means that U is a knight, which is a contradiction. Therefore, X must be a knave.
Y says: Exactly two of us are knights.
If Y is a knight, then his statement is true, meaning that exactly two of them are knights. Since U is a knave, this means that exactly two of the remaining five are knights, which means that W, X, Y, Z are knaves. This is consistent with all of the statements so far, so Y must be a knight.
Z says: Exactly one of us is a knight.
If Z is a knight, then his statement is true, meaning that exactly one of them is a knight. Since Y is a knight, this means that Y is the only knight, and U, V, W, X, Z are all knaves. This is consistent with all of the statements so far, so Z must be a knight.
Therefore, the knights are Y and Z, and the knaves are U, V, W, X.
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sin(pi/3-a) if cos(a)=-0.6 and pi < a < 3pi/2
The exact values of two trigonometric functions are listed below:
- 2√2 / 3 and ± √6 / 3
How to determine the exact values of the trigonometric functions?In this problem we have the exact values of two trigonometric functions, and of which we need to determine the exact value of a set of trigonometric functions of more complexity, each of which can be found by understanding the nature of the trigonometric functions and trigonometric formulas.
Since sin(π/3-a) if cos(a)=-0.6 and π < a < 3π/2
Then, by the fundamental formula:
cos α = - √(1 - sin² α)
cos α = - √[1 - (1 / 3)²]
cos α = - √(8 / 9)
cos α = - 2√2 / 3
sin (π/3-a):
sin (π/3-a) = ± √[(1 - cos a) / 2]
sin (π/3-a) = ± √[[1 - (0.6)] / 2]
sin (π/3-a) = ± √6 / 3
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If the minute hand of a clock is $20^\circ$ behind the hour hand at this moment, then in $18$ minutes, the minute hand will be how many degrees ahead of the hour hand?
The solution is, the minute hand will be 87.7 degrees ahead of the hour hand.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Let's call the current position of the hour hand H and the current position of the minute hand M.
At the start, we have H = 0 and M = -20 degrees.
After 18 minutes, the minute hand will have moved 18 * 6 = 108 degrees, while the hour hand will have moved 18 * (6/60) = 0.3 degrees.
So the new position of the minute hand is M + 108 = 88 degrees,
and the new position of the hour hand is H + 0.3 = 0.3 degrees.
Therefore, the minute hand will be 88 - 0.3 = 87.7 degrees ahead of the hour hand.
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find the largest possible value of $k$ for which $3^{11}$ is expressible as the sum of $k$ consecutive positive integers.
The largest possible value of [tex]$k$[/tex] is [tex]$k=3^{11}$[/tex].
Largest Sum of Consecutive IntegersLet [tex]$a_1, a_2, \ldots, a_k$[/tex] be the [tex]$k$[/tex] consecutive positive integers, such that [tex]$a_1 + a_2 + \ldots + a_k = 3^{11}$[/tex]. The average of these [tex]$k$[/tex] numbers is [tex]$\frac{a_1 + a_k}{2} = \frac{3^{11}}{k}$[/tex], which is an integer if and only if [tex]$k$[/tex] divides [tex]$3^{11}$[/tex].
The largest divisor of [tex]$3^{11}$[/tex] is [tex]$3^{11}$[/tex] itself, so the largest possible value of [tex]$k$[/tex] is [tex]$k=3^{11}$[/tex].
However, [tex]$k$[/tex] must also be an integer greater than 0, so the largest possible value of [tex]$k$[/tex] for which [tex]$3^{11}$[/tex] is expressible as the sum of [tex]$k$[/tex] consecutive positive integers is [tex]$3^{11} - 1 = 177147$[/tex].
This problem is about finding the largest number of consecutive positive integers whose sum is equal to a given number. In this case, the given number is [tex]$3^{11}$[/tex].
By using the formula for the sum of consecutive integers, the average of the numbers is calculated, and the requirement for this average to be an integer is used to find the largest possible value of [tex]$k$[/tex], which represents the number of consecutive positive integers. The solution shows that the largest possible value of [tex]$k$[/tex] is [tex]$177147$[/tex].
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Use the range rule of thumb to estimate the standard deviations.
HW Score: 17.71%, 1.95 of 11 points
Points: 0.67 of 1
The 155 heights of males from a data set of body measurements vary from a low of 150.0 cm to a high of 191.1 cm. Use the range rule of thumb to estimate the standard deviations and compare
the result to the standard deviation of 10.84 cm calculated using the 155 heights. What does the result suggest about the accuracy of estimates of s found using the range rule of thumb? Assume the
estimate is accurate if it is within 1.4 cm.
Answer: The range rule of thumb is used to estimate the standard deviation by taking the range of the data and dividing it by 4:
s = (max - min) / 4
In this case, the range is 191.1 cm - 150.0 cm = 41.1 cm.
s = 41.1 cm / 4 = 10.275 cm
This estimate of the standard deviation is 10.275 cm, which is close to the actual standard deviation of 10.84 cm. Since the difference between the two is less than 1.4 cm, we can say that the estimate is accurate.
4.07, 74, 4.70, 0.47, 7.40 smallest to biggest pls hurry 30mins 50points and brainliest
Answer: 0.47, 4.07, 4.70, 7.40, 74
Step-by-step explanation:
0.47, 4.07, 4.70, 7.4, 74
Answer:
0.47,4.07, 4.70, 7.40, 74
Step-by-step explanation:
In order the numbers from smallest to biggest, you can compare them pair-wise. For example, 0.47 is smaller than 4.07, so 0.47 is the smallest number. You can continue comparing the remaining numbers pair-wise to find the next smallest number, and so on.
Here is a more detailed explanation of how to order the numbers from smallest to biggest:
1. Compare 0.47 and 4.07. 0.47 is smaller than 4.07, so 0.47 is the smallest number.
2. Compare 4.07 and 4.70. 4.07 is smaller than 4.70, so 0.47, 4.07, and 4.70 are the smallest three numbers.
3. Compare 4.70 and 7.40. 4.70 is smaller than 7.40, so 0.47, 4.07, 4.70, and 7.40 are the smallest four numbers.
4. Compare 7.40 and 74. 74 is larger than 7.40, so 0.47, 4.07, 4.70, 7.40, and 74 are the smallest five numbers.
Therefore, the numbers from smallest to biggest are:0.474.074.707.4074Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 31 psi (pounds per square inch.) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning?
If the car’s average tire pressure is on target, the probability that the TPMS will trigger a warning is 0.0000.
What is a distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
Given:
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
Suppose the target tire pressure of a certain car is 31 psi (pounds per square inch.)
Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi.
Target pressure = 31 psi
So, 26% of 31,
31 x 0.26 = 8.06
TPMS warns at below (31 - 8.06) = 22.94
Let X be tire pressure.
µ = 31, σ = 2
P(X < 22.94)
= P(x-µ / σ < (22.94 - 31) / 2)
= P(Z < -4.03)
= 0.0000 {from the z-score table}
Hence, the probability is zero.
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Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She displayed the logged runs in the histogram below.
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 miles is 7 runs; 7 to 7.99 miles is 4 runs.
What is the range of the number of miles Maria jogged?
0 to 7
0 to 7.99
1 to 7.99
1 to 8
Answer:
1 to 7.99 miles
Step-by-step explanation:
According to the given histogram, Maria logged runs for 1 to 7.99 miles, and the number of runs for each mile range is also given. Therefore, the range of the number of miles Maria jogged is 1 to 7.99 miles.
Note that the histogram shows that there were no recorded runs for exactly 8 miles, so the range does not include 8.
Unit rates have a denominator with what number?
In a unit rate, the denominator is always 1.
3.1 Area under the curve, Part I: Find the probability of each of the following, if Z~N(μ = 0,σ = 1).
(please round any numerical answers to 4 decimal places)
a) P(Z < -1.35) =
b) P(Z > 1.48) =
c) P(-0.4 < Z < 1.5) =
d) P(| Z | >2)
The Probability can be determine using z-Table. The z- table use to determine the area under the standard normal curve for any value between the mean (zero) and any z-score.
a) P(Z < -1.35) =0.8708
b) P(Z > 1.48) =0.5714
c) P(-0.4 < Z < 1.5) =0.000
d) P(| Z | >2)=0.3830
What is z-table?Z-Score Table. A z-table, also known as the standard normal table, provides the area under the curve to the left of a z-score. This area represents the probability that z-values will fall within a region of the standard normal distribution.
Given:
The given condition is Z~N(μ = 0,σ = 1).
(a)
Find the value for .P(Z < -1.35)
Here Z is less than 1 that means Z is negative. So it will lies it lies on left hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .P(Z < -1.35) =0.8708
(b)
Find the value for .P(Z > 1.48)
Here Z is positive. So it will lies it lies on right hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .P(Z > 1.48) =0.5714
(c)
Find the value for .) P(-0.4 < Z < 1.5)
Here Z is positive. So it will lies it lies on right hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .) P(-0.4 < Z < 1.5) =0.000
(d)
Find the value for .P(| Z | >2)
Here Z is mod of Z, it may be positive or negative. Consider the negative value of Z.
Refer the table of Area Under the Standard Normal Curve.
Consider the positive value of Z.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .P(| Z | >2)=0.3830
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The probability distribution is calculated z-table.
What is z-table?Z-table is also known as standard normal table which is used to find the area under the curve to the left of a z-score.
(a)P(Z<-1.35)
Here Z value negative so it is lies left of the curve, using standard normal table , P(Z<-1.35) = 0.0885
(b)P(Z>1.48)
z value is positive it lies right of the curve, using standard normal table, area under the curve P(Z>1.48)= 0.9306
(c)P(-0.4 < Z < 1.5) = P(Z<1.5) - P(-0.4<Z)
= 0.9332 - 0.3446
= 0.5886
(d)P(| Z | >2), |Z| is both positive and negative we have,
P(| Z | >2) = P(-2 < Z <2)
= P(Z<2) - P(-2<Z)
= 0.9772 - 0.0228
= 0.9544.
Hence, (a)P(Z<-1.35) = 0.0885
(b)P(Z>1.48) = 0.9306
(c)P(-0.4<Z<1.5) = 0.5886
(d)P(|Z|>2) = 1.9544
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The slope line below is:
Answer: 4/3
Step-by-step explanation:
Look at the points (0,-4) (3,0)
Formula: y2-y1/x2-x1
Substitute: 0-(-4)/3-0 = 4/3
Please make me brainliest, I would also add you as friend if you make me brainliest!
Let's consider what the question asks for:
--> slope of line
The slope of the line is calculated by:
[tex]\text{Slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
--> where:
[tex](x_1,y_1)-- > \text{any one point on the line}\\\\(x_2,y_2)-- > \text{another point on the line}[/tex]
Let's find our points
[tex](x_1,y_1)-- > (3,0)\\\\(x_2,y_2)-- > (0,-4)[/tex]
Let's plug these points into our equation:
[tex]\text{Slope}=\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{-4-0}{0-3}=\dfrac{-4}{-3} =\dfrac{4}{3}[/tex]
Answer: 4/3
The circular blade on a saw has a diameter of 8.25 inches and rotates at 4300 revolutions per minute. (a) Find the angular speed of the blade in radians per minute. (Round your answer to three decimal places.)
radians/min
(b) Find the linear speed of the saw teeth (in inches per minute) as they contact the wood being cut. (Round your answer to one decimal place.)
in/min
Step-by-step explanation:
a) Find the angular speed of the blade in radians per minute:
The formula for angular speed is given by:
ω = 2 * π * f
where f is the frequency of rotation in revolutions per minute, and π is approximately equal to 3.14159.
Plugging in the values, we get:
ω = 2 * 3.14159 * 4300 revolutions per minute
ω = 26,957.1 radians per minute
Rounding to three decimal places, the answer is:
ω = 26,957.1 radians per minute = 26,957.1 radians/minute
b) Find the linear speed of the saw teeth (in inches per minute) as they contact the wood being cut:
The formula for linear speed (v) is given by:
v = ω * r
where ω is the angular speed in radians per minute, and r is the radius of the blade (half of the diameter).
Plugging in the values, we get:
v = 26,957.1 radians/minute * 4.125 inches
v = 111,542.7 inches per minute
Rounding to one decimal place, the answer is:
v = 111,542.7 inches per minute = 111,543 inches/minute
Is the ordered pair (4,1) a solution of the system of linear equations:
-x + y = -3
x + 3y = 6
a. yes
b. no
The ordered pair (4, 1) is not a solution to the system,
- x + y = - 3 and x + 3y = 6.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
Given, A system of linear equations - x + y = - 3 and x + 3y = 6.
An ordered pair must satisfy both equations simultaneously.
For, - x + y = - 3
- 4 + 1 = - 3.
- 3 = - 3 (satisfied).
For, x + 3y = 6.
4 + 3(1) = 6.
4 + 3 = 6.
But, 7 ≠ 6.
Therefore, the ordered pair is not a solution.
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the following associations can be described by generalized linear models. for each one, identify the response variable and the explanatory variables select a probability distribution for the response and write down the linear component
In each case, the response variable, the explanatory variables, and the probability distribution is specified.
Before answering this question, let's us understand the Generalized linear models
Generalized linear models (GLMs) are used to model a response variable that has a non-normal distribution by linking the mean of the response variable to a linear combination of explanatory variables through a link function.
The Identification of cases are given below:
a) Response variable: number of trips per week to the supermarket for a household
Explanatory variables: number of people in the household, household income, distance to the supermarket
Probability distribution: Poisson
Justification: The response variable "number of trips per week" is count data and can be modeled using a Poisson distribution.
Linear component: log(μ) = β0 + β1 * number of people in the household + β2 * household income + β3 * distance to the supermarket
b) Response variable: person's weight
Explanatory variables: age, sex, height, mean daily food intake, mean daily energy expenditure
Probability distribution: Gaussian (Normal)
Justification: The response variable "person's weight" is continuous and approximately normally distributed.
Linear component: μ = β0 + β1 * age + β2 * sex + β3 * height + β4 * mean daily food intake + β5 * mean daily energy expenditure
c) Response variable: proportion of mice infected after exposure to bacteria
Explanatory variables: exposure level
Probability distribution: Binomial
Justification: The response variable "proportion of mice infected" is binary (yes/no) and can be modeled using a binomial distribution.
Linear component: logit(p) = log(p/(1-p)) = β0 + β1 * exposure level
The linear component represents the relationship between the mean of the response variable and the explanatory variables.
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____ The given question is incomplete, the complete question is given below:-
The following associations can be described by generalized linear models. For each one, identify the response variable and the explanatory variables, select a probability distribution for the response (justifying your choice) and write down the linear component.
a. The association between the number of trips per week to the supermarket for a household and the number of people in the household, the household income and the distance to the supermarket.
b. The effect of age, sex, height, mean daily food intake and mean daily energy expenditure on a person’s weight.
c. The proportions of laboratory mice that became infected after exposure to bacteria when five different exposure levels are used and 20 mice are exposed at each level.
The team chooses another site on the bank of the river, point A, and determines that the distance AB is 45 feet. They then move to another site, C, that is collinear with A and X. They measure to find that AC is 20 feet.
The team then moves from C to D, which is on a path parallel to Point D is also collinear with X and B. They measure CD to be 63 feet and measure BD to be 27 feet.
Based on this, what is the distance between X and B?
The distance between X and B is 67.5 feet for the given triangle.
What are Similar Triangles?Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
As per the given figure, we have two similar triangles, as below:
ΔXAB and ΔXCD are similar,
So AB/CD = BX/DX
45/63 = BX/(BX+BD)
45/63 = BX/(BX+27)
45(BX+27) = 63BX
63BX - 45BX = 1215
18BX = 1215
BX = 67.5
Thus, the distance between X and B is 67.5 feet.
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A triangle has a base of 14 inches and a height of 11 inches find the area
Answer:
... correct answer is 77 inches...
Answer:
A = 77 inches squared
Step-by-step explanation:
To find the area of a triangle, we use the formula
A = 1/2 bh where b is the base and h is the height
A = 1/2 (14) * 11
A = 77 inches squared
In which of the following are 5, * 3, and &
, arranged in
ascending order?
1. =5555
G. s x
solu
1. ⅜5⅜s
1. ⅜s.
5
K. ⅜5⅜도
According to the information, the order of the numbers would be 1, 3, 5, 8, 12.
How to arrange the numbers from smallest to largest?To organize the numbers from smallest to largest we must use a number line in which we organize the numbers according to their position with respect to zero.
According to the above, the numbers closest to zero go first and then those that are further away from this number. Therefore, the sequence would look like this:
1, 3, 5, 8, 12.Since none of the numbers is negative, it can be inferred that they all go to the right of zero and are located in ascending order.
Note: This question has incomplete and disorganized information. Here is the complete and organized information.
Question/Task: Arrange the numbers from least to greatest.
Options:
3
8
5
1
12
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SOS. Please help with this……i Really need it!
The equation for the table is r = -3s + 15,
when s = 0, r = 15 and when s = 9, r = -12
the formula for Δr in terms of Δs is Δr = -3Δs.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given value of r is varying at a constant rate with respect to s,
given table for r and s
s(independent quantity) r(dependent quantity)
1 12
3 6
9 ?
12 -21
since both quantities vary at a constant rate so it is the condition of a linear equation,
y = mx + c
where m is the slope or the rate of change,
let s₁ = 1, s₂ = 3 and r₁ = 12, r₂ = 6
coordinates for graphs (1, 12) and (3, 6)
the equation is a form of s and r is
r = ms + c (because s is independent and r is dependent)
A: formula for Δr in terms of Δs is
Δr = mΔs
m = Δr/Δs = (6 - 12)/(3 - 1)
m = -3
Δr = -3Δs
the equation will be,
r = -3s + c
when s = 1 r = 12
12 = -3(1) + c
c = 15
the formula for r in terms of s is,
r = -6s + 15
B: the value of r when s = 0
r = -3(0) + 15
r = 15
and when s = 9
r = -3(9) + 15
r = -12
C: true and false;
i. The graph that represents s in terms of r is linear: True
ii. r is proportional to s: False, no r is not proportional to s because the relation between r and s has a constant
iii. Δr is proportional to Δs: True because the relation is Δr = -3Δs.
iv. The graph of r in terms of s is a straight line that passes through the origin (0, 0): False, because when s = 0 r = 15, so the graph does not pass from the origin.
Hence equation for r and s is: r = -3s + 15
when s = 9, r = -12 and when s = 0, r = 15
and Δr = -3Δs.
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There are 275 students in a hall. 150 of them are boys and the rest are girls. The number of boys is % of the number of girls.
Answer:
Step-by-step explanation:
Total students = 275
Boy students = 150
So, girl students = (275-150) = 125
Percentage of boy students = (150/275)% = 54.55%
The length of a rectangle is 4 in longer than its width.
If the perimeter of the rectangle is 40 in, find its area.
Answer:
Step-by-step explanation:
Let, width = x
length = x+4
perimeter, 2(x+4+x) = 40
4x+8 = 40
4x = 32
x = 8
so, (x+4) = 8+4 = 12
so, the area would be,
= 12 * 8 = 96 in²
Kirsty counts the number of peas in a sample of pea pods. Number of pods Number of peas in a pod 4 5 6 7 8 c) 2 10 18 14 6 What was the mean number of peas in a pod?
The number of pea is 6. By using formulas of mean, median and mode.
What is a mean?A dataset's mean (also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.
Taking pea counts into account,
A pod of peas contains 4, 5, 6, 7 or 8 peas.
Number of pods: 2, 10, 18, 6, and 14
The mode is the number that corresponds to the highest frequency.
The frequency of each number in the list is 1.
Mode is not possible with the information provided.
The middle value, after sorting the numbers in ascending or descending order, is the median if all of the numbers are odd.
The median of the given numbers is.
Replace the values in the formula to get the mean value.
Mean = 4+5+6+7+8/5 = 30/5 = 6
Consequently, based on the quantity of peas provided, the values of the following measure are as follows:
It is impossible to use Peas in a Pod mode.
The median number of peas in a pod is 6.
the typical quantity of peas is 6.
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solve the right triangle!!!
The value of a and c in the right triangle are 38.28 and 66.89 respectively.
What is an equation?An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents
Trigonometric ratio is used to show the relationship between the sides and angles of a right angle triangle.
From the diagram:
sin(55.0892) = 54.855/c
c = 66.89
Also:
tan(55.0892) = 54.855/a
a = 38.28
The value of a and c are 38.28 and 66.89 respectively.
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Two observers are 500 ft apart on opposite sides of a flagpole. The angles of elevation from the observers to the top of the pole are 17° and 16°. Find the height of the flagpole.
When two observers on opposing sides of a flagpole are 500 feet apart, the height of the flagpole is 48.077 feet.
what is angles ?In Geometry and trigonometry, an aspect is a shape made up of two rays, referred to as the angle's sides, that converge at a center point termed as the angle's vertex. Two rays can create an angle in the region where they are arranged. Additionally, when two planes collide, an angle is created. Dihedral angles are what they are called. An angle is a possible structure for two rays or lines with only a common end in planar geometry. The English term "angle" originated from the Latin word "angulus," which meaning "horn." The vertex is the common endpoint of the opposite rays, also known as the side of the angle.
given
distance between two observer = 300 ft
angle of elevation to top pole = 17° and 16°
height of the flagpole = ?
now,
Let x be the distance of the pole
tan17° = h /x
x = h / tan17°
now,
tan20° = h / 500 - x
500 - x = h / tan16°
again applying
500 - 3.49h = 2.75h
h = 48.077 ft
When two observers on opposing sides of a flagpole are 500 feet apart, the height of the flagpole is 48.077 feet.
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CAN SOMEONE HELP WITH THIS?✨
The marginal revenue when q = 29 is 510 dollars.
How to find the marginal revenue?To find the marginal revenue we need to differentiate the revenue equation, here we know that:
R(q) = -5q² + 800q
Differentiating that, we will get:
R'(q) = MR(q) = 2*(-5)*q + 800
= -10q + 800
The marginal revenue when q = 29 is
MR(29) = -10*29 + 800 = 510
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Find an ordered pair (x,y) that is a solution to the equation
Answer:
(3, -7)
Step-by-step explanation:
If you choose 3 as one of your x-coordinates, you simply need to solve for y to get -7 as your y-coordinate:
[tex]3x+y=2\\3(3)+y=2\\9+y=2\\y=-7[/tex]