Answer:
Please see attachment for explanation and answer.
Which graph represents the solution set for p − 3.6 < −5.8?
number line with open circle on point negative 9.4 and arrow shaded to the left
number line with open circle on point negative 9.4 and arrow shaded to the right
number line with open circle on point negative 2.2 and arrow shaded to the left
number line with open circle on point negative 2.2 and arrow shaded to the right
The correct description of the graph of the inequality is:
"number line with open circle on point negative 2.2 and arrow shaded to the left"
Which graph represents the solution set of the inequality?Here we have the inequality:
p - 3.6 < -5.8
First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:
p < - 5.8 + 3.6
p < -2.2
So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.
So the correct option is:
"number line with open circle on point negative 2.2 and arrow shaded to the left"
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in hypothesis testing, type ii error occurs when: group of answer choices you reject the null hypothesis when the null hypothesis is true you fail to reject the null hypothesis when the null hypothesis is false you reject the null hypothesis when the null hypothesis is false you fail to reject the null hypothesis when the null hypothesis is true
A Type I error occurs in hypothesis testing when one is rejects the null hypothesis and the null hypothesis is true.
To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.
Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis. So, c is the right response.
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The average income of those who work more and those who work less tends to be equal
What is the null hypothesis?The null hypothesis is a typical statical theory which suggest that no statical relationship and significance exists in a set of given single observed variable , between two sets of observed data and measured phenomena.
The null hypothesis is significant because it offers a rough description of the phenomena inferred from the available evidence. It enables researchers to empirically test the relationship statement in a study.
Example: The null hypothesis is that the population density is the same across all states.
The average income of those who work more and those who work less tends to be equal
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If-4y² − x³ + 4 = 0 then find dy/dx in terms of x and y.
Solve for x: -1 < x + 3 < 5
Answer:
Step-by-step explanation:
−1<x+3<5
−1+−3<x+3+ −3<5+−3 (Add -3 to all parts)
Therefore your answer is −4<x<2
Factor the expression (72a^9b^3-18a^7b^5) completely
After factorizing the expression 72a⁹b³-18a⁷b⁵completely we get the value of a and b will be ±1 and ±2.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
⇒72a⁹b³-18a⁷b⁵=0 ------(1)
We have to factor in the expression,
⇒72a⁹b³-18a⁷b⁵=0
Take 18a⁷b³ as common,
⇒18a⁷b³(4a²-a²b²)=0
⇒18a⁷b³=0
⇒(4a²-a²b²)=0
⇒4a² = a²b²
⇒b²=4
⇒b=±2
Substitute the value of b in equation 1 we get,
72a⁹b³-18a⁷b⁵=0
72a⁹(2)³-18a⁷(2)⁵=0
576a⁹-576a⁷=0
a²=1
a=±1
Thus, after factorizing the expression 72a⁹b³-18a⁷b⁵completely we get the value of a and b will be ±1 and ±2.
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write a function to describe the following scenario. Billy wants to order business cards. there is a $20 minimum charge regardless of how many cards are purchased. on top of that, there is a charge of $0.06 per card
The function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Let x be the number of cards:
The total cost for the card is f(x)
Then f(x) can be framed as:
f(x) = 20 + 0.06x
Or
f(x) = 0.06x + 20
Thus, the function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.
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A rental car company charges $40 per day to rent a car and $0.08 for every mile driven. Justin wants to rent a car, knowing that:
He plans to drive 125 miles.
He has at most $170 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Justin can afford to rent while staying within his budget.
The inequality we want to find is:
$40 + $0.08*x ≤ $170
Where x is the number of miles Justin can drive, and the solution is:
x ≤ 1,625
How to write the inequality?We know that there is a fixed cost of $40 plus $0.08 for every mile driven. So if you rent the car and drive for x miles, the total cost is:
C(x) = $40 + $0.08*x
We know that Justin has at most $170 to spend, so we can write the inequality:
$40 + $0.08*x ≤ $170
Solving this for x, we get:
$0.08*x ≤ $170 - $40
$0.08*x ≤ $130
x ≤ $170 /$0.08
x ≤ 1,625
So Justin can drive at most 1625 miles with the money he has.
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Answer:
Inequality: 40x+10≤170
Answer: x 4x≤4
Step-by-step explanation:
trust me
Determine whether the equation $y=x\cdot x\cdot x$ represents a linear or nonlinear function.
The equation [tex]y =\frac{x}{c} *\frac{x}{c} *x[/tex] represents a non- linear function.
How is the function of the equation determined?
[tex]y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }[/tex]
This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)
What is a non-linear function?
On a graph, information may only be represented in one of two ways, using linear or non-linear functions. A non-linear function does not have a straight line shape. There is some curvature in a nonlinear equation. When plotted on a graph, a linear function produces a straight line. The simplest way to identify if a function is linear or non-linear is probably by graphing it, but we can also discover if a function is linear by looking at its input/output table or equation.To learn more about non-linear functions, refer:
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Consider the first 2 terms of the sequence 28, 14,....
Suppose the sequence 28, 14,... is arithmetic
Determine the common difference
The common difference of the arithmetic sequence is found as -10.
What is defined by the term arithmetic sequence?The arithmetic sequence is indeed the sequence in which the common differences between any 2 successive terms remains constant. Let us review what a sequence is.We have two formulas for arithmetic sequences.The formula for determining the nth term in an arithmetic sequence.The formula for calculating the sum of an arithmetic sequence's first n termsFor the given question;
The arithmetic sequence is given as;
28, 14,....
Where 28 is the first term; a₁ = 24.
14 is the second term; a₂ = 14.
Then the common difference 'd' is calculated as;
d = a₂ - a₁
put the values.
d = 14 - 24
d = - 10
Thus, the common difference of the arithmetic sequence is found as -10.
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Explain how to find the product of 3/8 * 7/9. Use complete sentences in your answer.
Answer:
[tex]\frac{3}{8}*\frac{7}{9}=\frac{7}{24}[/tex]
Step-by-step explanation:
Solution with Steps
[tex]\frac{3}{8}*\frac{7}{9}=?[/tex]
For fraction multiplication, multiply the numerators and then multiply the denominators to get
[tex]\frac{3*7}{8*9}=\frac{21}{72}[/tex]
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 72 using GCF(21,72) = 3
[tex]\frac{21/3}{72/3} =\frac{7}{24}[/tex]
Therefore:
[tex]\frac{3}{8}*\frac{7}{9}=\frac{7}{24}[/tex]
PLEASE HELP ASAPP. WILL GIVE BRAINLIEST AND 5 STAR RATINGG
If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.
What is feet and yard?The length of a foot is 12 inches. A ruler can be used to calculate the length of a foot, which is usually one foot. The length of a piece of paper is about one foot.
3 feet make up one yard. A yardstick, which is equal to 1 yard, is typically used to measure yards. The length of a baseball bat is about one yard.
Using the conversion Rule we will convert feet into inches that is
22 feet = 264 inches
We will also convert yards into inches that is
14 yards = 504 inches
Total wire they need = 264 + 504 inches
= 768 inches
We have given that
100 inches wires costs = $3
1 inch wire costs = 3/100
768 inch wire costs = (3/100) × 768
= $23.04
Thus, If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.
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Which best describes the range of the function f(x) = -(6)* after it has been refle
all real numbers
all real numbers less than 0
O all real numbers greater than 0
O all real numbers less than or equal to 0
ANSWER:all real numbers less than or equal to 0.
Explanation:
When you reflect a function across the x-axis, you negate every y-coordinate in the function.
In our original function, our y-values will all be positive. Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.
a college student bought 11 books for fall classes. if the cost of his anatomy textbook was three times the mean cost of the other 10 books, then the cost of the anatomy textbook was what fraction of the total amound he paid for the 11 books?
The fraction of the total amound he paid for the 11 books is 3/13.
What is a Fraction?The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.According to our question-
Let C be the overall price of the remaining 10 books: Average cost of them = C/10(C/10) = (3/10)CT cost = (3/10)C + C (3/10)c + (10/10)C 13/10 C3/10*13/103/13Hence , The fraction of the total amound he paid for the 11 books is 3/13.
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Solve 2x-y=8 for slope and y intercept
Given: The equation of a line below
[tex]2x-y=8[/tex]To Determine: The slope and the y intercept
Solution
The general form of slope-intercept form of a line is given as
[tex]\begin{gathered} y=mx+c \\ Where \\ m=slope \\ c=y-intercept \end{gathered}[/tex]Let us re-write the given equation in slope-intercept form
[tex]\begin{gathered} 2x-y=8 \\ 2x=8+y \\ 8+y=2x \\ y=2x-8 \end{gathered}[/tex]Let us compare the derived given equation to the general form
[tex]\begin{gathered} y=mx+c \\ y=2x-8 \\ m=2 \\ c=-8 \end{gathered}[/tex]The graph is as shown below
Hence, the slope is 2 and the y intercept is -8
y varies inversely as x. y = 18 when x = 5. Find y when x = 3.
Answer:
If the variable
y
varies inversely as the variable
x
, then we can write this relationship as:
y
∝
1
x
Removing the proportionality sign and adding a proportionality constant, we have:
y
=
k
x
If the value of y is 18 when the value of x is 5, then:
18
=
k
5
k
=
18
×
5
=
90
Thus, the equation showing the relationship between the two variables is:
y
=
90
x
Using the above equation, the value of y when x = 3 is equal to:
y
=
90
3
=
30
How to solve one of these - im very confused :(
The graph represents the inequality:
[tex]x<-3[/tex]The reason we used strictly less than (<) is that the circle is not shaded. Therefore, the correct inequality has to be either the first or last.
We will simplify the inequalities to see which one is equivalent.
First Inequality:
[tex]5(4x+3)<10(2x+1)+7[/tex]Expanding the brackets using the distributive property, we have:
[tex]\begin{gathered} 20x+15<20x+10+7_{} \\ 20x+15<20x+17 \end{gathered}[/tex]Subtracting 20x from both sides, we have:
[tex]\begin{gathered} 20x+15-20x<20x+17<20x \\ 15<17 \end{gathered}[/tex]This is not the inequality.
Last Inequality:
[tex]3x+10>5x+16[/tex]Subtract 5x from both sides:
[tex]\begin{gathered} 3x+10-5x>5x+16-5x \\ -2x+10>16 \end{gathered}[/tex]Subtract 10 from both sides:
[tex]\begin{gathered} -2x+10-10>16-10 \\ -2x>6 \end{gathered}[/tex]Divide both sides by -2. Dividing by a negative number will reverse the sign:
[tex]\begin{gathered} \frac{-2x}{-2}>\frac{6}{-2} \\ x<-3 \end{gathered}[/tex]Hence, this is the inequality.
ANSWER: The correct inequality is
[tex]3x+10>5x+16[/tex]1 1/2 divided by 3 equals what?
Answer:
4 1/2
Step-by-step explanation: First: Pls just trust <333 and Goodluck!! <3
A quantity with an initial value of 200 grows continuously at a rate of 55% per day.
What is the value of the quantity after 1 week, to the nearest hundredth?
The value of the quantity after 420 minutes is 1.739
How to calculate the amount of the quantity?
In mathematics, the amount of the quantity can be measured with the help of the exponential function by using its standard equation. But the measured quantity should grow continuously.
According to the question, the growth of the quantity is growing continuously which illustrate the exponential function.
The given parameters are:
Initial value, a = 200; Rate, r = 55%
An exponential growth function is represented as:
y = a(1 + r)^x
Substitute the value in the equation
y = 200(1 + 55%)^x
After 1.55 minutes, x = 7 * 60
So, we have:
y = 200(1 + 55%)^(7 * 60)
Evaluate the expression
y = 1.739
Hence, the value of the quantity after 420 minutes is 1.739
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What is the slope of the line passing through (0, 5) an d(-12, 2)?
m = 1/4 is the slope of the line .
What is slope in plain English?
Slope and slant both refer to an elevation away from a surface or line that is generally straight and used as a reference. Slope is the verb form for an oblique vertical incline: Here, the land abruptly slopes either upward or downhill.The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b. M represents the line's slope. Additionally, the y-intercept is at a position where b is the b. (0, b). The slope and y-intercept of the equation y = 3x - 7 are, for instance, 3 and 0, respectively.The slope of a line passing through points ( x₁ , y₁ ) ( x₂ , y₂ ) is defined as
m = y₂ - y₁/x₂ - x₁
if the x coordinates are not equal. The slope is not defined if the x
coordinates are equal because that would require dividing by zero.
here ,
( x₁ , y₁ ) = (0, 5)
( x₂ , y₂ ) = ( -12 , 2 )
m = y₂ - y₁/x₂ - x₁
m = 2 - 5/-12 - 0
m = -3/-12
m = 1/4
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The Trihn triplets were working on their homework together. After a while, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn.Each boy ate 1 3/4 cups of popcorn. How many cups of popcorn did the boys eat in all?
The cups of popcorn that the boys eat in all is 5 1/4 cups.
How to illustrate the information?From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.
It should be noted that the total popcorn and hat was eaten will be:
= Fraction eaten by each person × Number of people
= 1 3/4 × 3
= 7/4 × 3
= 21/4
= 5 1/4
This illustrates the concept of multiplication of fractions.
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Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use inverse operations to solve each equation. Explain each step and identify the property used to reach step.
19
=
h
3
−
8
Using the inverse operations, the value of h is 54.
How to use inverse operation to solve equation?An inverse operation can be defined as the operation that undoes what was done by the previous operation.
Therefore, the inverse operation of multiplication is division.
The equation is as follows:
19 = (h/3) - 8
Hence,
add 8 to both sides of the equation
19 = (h/3) - 8
19 + 8 = (h/3) - 8 + 8
27 = h / 3
Multiply both sides of the equation by 3
27 = h / 3
27 × 3 = h / 3 × 3
h = 54
Therefore,
h = 3
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What is 5,028x1/5 (please answer fast)
Answer:
5
028x ·[tex]\frac{1}{5}[/tex]
Jake currently has 362 g of sugar and then uses 7 ounces for baking a cake. How many grams (g) of sugar does he have left? 1 ounce = 28 g
Ab technologies produces dc motors of which 5% are defective.the motors are packaged into boxes, each box contains 60 motors. a box is selected at random. find the probability that the box contains exactly one defective motor. at least two defective mtors
The probability that the box contains exactly one defective motor.
P(X=1)=0.5225
This is further explained below.
What is Poisson distribution?Generally, This follows a Poisson distribution and will be solved using:
[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]
Where
u = Expected number of occurrences, and it is calculated as:
u=n p
u=60 * 4%
u=60 * 0.04
u=2.4
In conclusion,
[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]
Therefore
[tex]P(X=1)=\frac{e^{-2.4} 2.4^2}{2 !}[/tex]
P(X=1)=0.5225
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True or False
An application of deductive reasoning such that the reasoning is logically correct and undeniably true is a valid argument.
Answer:true
Step-by-step explanation:
which one would this be?!!?!?
Answer:
A and D
Step-by-step explanation:
hope this helps
Please help!!!!!!!! I’ll mark brainliest
The answers to all the equations are:
(A) f(x) = x + 3 when f(4) ⇒ f(x) = 7(B) f(x) = 2x - 9 when f(5) ⇒ f(x) = 1(C) f(x) = -6x + 2 when f(-3) ⇒ f(x) = 20What do we mean by equations?The equals sign is used in mathematical equations to indicate that two expressions are equal.A mathematical statement that uses the word "equal to" between two expressions with the same value is called an equation.Using 3x + 5 as an example equals 15.Equations come in a wide variety of forms, including linear, quadratic, cubic, and others.Point-slope, standard, and slope-intercept equations are the three main types of linear equations.So, f(x):
(A) f(x) = x + 3 when f(4)
f(x) = x + 3f(x) = 4 + 7f(x) = 7(B) f(x) = 2x - 9 when f(5)
f(x) = 2x - 9f(x) = 2(5) - 9f(x) = 10 - 9f(x) = 1(C) f(x) = -6x + 2 when f(-3)
f(x) = -6x + 2f(x) = -6(-3) + 2f(x) = 18 + 2f(x) = 20Therefore, the answers to all the equations are:
(A) f(x) = x + 3 when f(4) ⇒ f(x) = 7(B) f(x) = 2x - 9 when f(5) ⇒ f(x) = 1(C) f(x) = -6x + 2 when f(-3) ⇒ f(x) = 20Know more about equations here:
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At the beginning of spring, Allison planted a small sunflower in her backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week. How tall would the sunflower be after 9 weeks?
How tall would the sunflower be after w weeks?
Height after 9 weeks?
During plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.
As given in the question,
During plantation sunflower was 15 inches tall
Rate of growth per week = 2 inches
Let x be the number of weeks and y be the height of the plant.
Required height :
y = 15 + 2x
Change in the height of sunflower after 9 weeks
y =15 +2x
= 15 + 2(9)
= 15 +18
= 33 inches
Therefore, during plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.
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Write an expression for 362 more than the product of 302 and q.
Mathematically we write this as:
=362+(302×q)
The expression is 362+302q
Goodluck.
is 26 and 65 relatively prime
No. 26 and 65 both have a common factor of 13, since 26 = 2•13 and 65 = 5•13, so GCD(26, 65) = 13 ≠ 1.
We can also arrive at this using Euclid's algorithm.
65 = 58 + 7 = 2•26 + 13
26 = 2•13 + 0
Since the last remainder is zero, the previous remainder is the GCD.