Yes, there is evidence that there is a difference in the average drying time of the two paints because the confidence intervals for the two paints do not overlap.
The confidence interval for paint A ranges from 2.1 to 3.4 hours, while the confidence interval for paint B ranges from 3.0 to 4.0 hours. Since the two intervals do not overlap, it suggests that there is a significant difference in the average drying times of the two paints.
To further investigate the difference, a hypothesis test can be conducted. The null hypothesis would be that there is no difference in the average drying time of the two paints, while the alternative hypothesis would be that there is a difference.
A t-test or a z-test could be used to determine if the difference is statistically significant. The level of significance should be determined before conducting the test.
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2) There were 228 roses growing in the back garden. If 50% of the
roses were red. How many were not red?
Answer:
114 roses are not red
Step-by-step explanation:
First, move the decimal two times to the LEFT to multiply the percentage to the number of roses. (50.%)
228x.50
And then multiply 228x.50= 114
Solving equations and inequalities escape room
Answer:
18) 10.5
19) 45
20) 16
Step-by-step explanation:
simplified expression || hope this is what u needed
please help need answers ASAP! I will leave good reviews
Answer: its not showing the
Step-by-step explanation:
What is the measurement of this angle?
How would you solve?
5 ÷ 17
Answer:
3r2 or 3.4
Step-by-step explanation:
Answer:
Therefore, 5 ÷ 17 = 0.2941 (rounded to four decimal places)
or 5
------
17 as a fraction.
Step-by-step explanation:
Step 1: Write the problem as a fraction, with 5 as the numerator and 17 as the denominator:
5
------
17
Step 2: Multiply both the numerator and denominator of the fraction by the same number so that the denominator becomes 10, 100, 1000, or any power of 10:
5 100
---------
17 100
In this case, we chose to multiply by 100.
Step 3: Simplify the resulting fraction. Multiply the numerator and denominator of the fraction to get the answer:
500
-------
1700
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, the greatest common factor is 100:
5
----
17
At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years
Answer:
after working for at least 10 1/4 years
Step-by-step explanation:
After working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
What is the formula to solve quadratic equation?A quadratic equation, \(ax^{2} +bx+c=0\) is solved by
\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
Given function \(f(x)=x^4-10x^2+10000\)
Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)
\(x^4-10x^2+10000-20000=0\)
\(x^4-10x^2-10000=0\)
Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)
\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)
\(x^2=\frac{10 \pm 200.2}{2}\)
\(x^2=5 \pm 100.1\)
\(x^2=105.1\)
\(x=\sqrt{105.1}\)
\(x=10.25\)
Hence, after working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
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Select the correct answer.
Which expression is equivalent to this polynomial expression?
(2a36) (2a²+ 66²) + (6a²b + 12ab² - 76³)
OA. 4a³ - 12a²b 24ab² 116³
B. 4a³+12a²b25b³
O c. 4a³+ 12a²b + 24ab²
O D. 4a³+24ab² - 256³
-
-
1
116³
Reset
Next
the expression equivalent to the given polynomial expression is 4a³+ 12a²b + 24ab² - 76³, which is option C.
what is expression ?
An expression is a mathematical phrase that contains numbers, variables, and/or mathematical operations. It does not have an equal sign, so it cannot be solved.
In the given question,
The correct answer is C.
To simplify the given polynomial expression using the distributive property, we need to distribute the first term (2a³) to each term in the second parentheses, and then add it to the third term.
So, we have:
(2a³) (2a²+ 66²) + (6a²b + 12ab² - 76³)
= 4a⁵ + 132a³ + 6a²b + 12ab² - 76³
Now, we can simplify further by combining like terms:
= 4a³ (a²+ 33) + 6ab (a + 2b) - 76³
Therefore, the expression equivalent to the given polynomial expression is 4a³+ 12a²b + 24ab² - 76³, which is option C.
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in a standard television set, the screen height is 0.75 times the screen width. if a television set measures 26 inches along the diagonal, what is the screen width?
The width of a standard television set is equal tp 16.8 inches.
We will solve this by using the Pythagorean theorem which is below:
Or we can say
w = width
h = height
d = diagonal measure
We know the height is 0.75 times the width so 0.75w. We also know d = 26 , is our diagonal measure.
w = need to find
h = 0.75w
d = 26
\(w^2 + h^2 = d^2\\w^2 + 0.75w^2 = 26 ^2\\1.5625 w^2 = 441\\w^2 = 441/1.5625\\w ^2 = 282.24\)
w =16.8
Therefore width of a standard television set is 16.8 inches.
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Need help really fast pleasessssssssssss
Answer:
1/2x plus 1/3
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
twice the sum of -17 and a number is -14
After thoroughly calculating we have come to find that, a number twice the sum of -17 and -14 is −62
How to find sum of two numbers?To sum and complete mathematical operations, numerical values are needed. Numbers are used to represent numerical values, and they can also be used to represent them alphabetically. For instance, the number 22 can be expressed in writing or by using the alphabet 22. One more example is the number 3, which can be written as 3.
Numbers can take many different forms. Examples of opposites include odd and even, fraction and integer, rational and irrational, natural and whole, and many more. A few of the operations include arithmetic, algebra, and trigonometry.
Twice the sum of -17 and -14 is
2((-17) + (-14))
⇒ 2(-17 -14)
⇒ 2 × (-31)
⇒ −62
So, a number twice the sum of -17 and -14 is −62.
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Drag and drop the answers to the boxes to correctly complete the proof.
Given: DEFG is a parallelogram.
Parallelogram D E F G with diagonal D F. Angle G D F is labeled 1, angle F D E is labeled 2, angle E F D is labeled 3, and angle D F G is labeled 4.
Prove: DE¯¯¯¯¯≅GF¯¯¯¯¯ and DG¯¯¯¯¯¯≅EF¯¯¯¯¯ .
Opposite sides of a parallelogram are parallel, so Response area because they are alternate interior angles. By the reflexive property of congruence, DF¯¯¯¯¯≅DF¯¯¯¯¯ . Therefore, △DGF≅△FED by the Response area . That means DE¯¯¯¯¯≅GF¯¯¯¯¯ and DG¯¯¯¯¯¯≅EF¯¯¯¯¯ by Response area.
Answer:
\(\overline{DE} \cong \overline{GF}\) and \(\overline{DG} \cong \overline{EF}\) by CPCTC
Step-by-step explanation:
The given information are;
The shape of the given polygon DEFG = Parallelogram with diagonal DF
Therefore, we have;
Response area
\(\overline{DE} \left | \right | \overline{GF}\) and \(\overline{DG} \left | \right | \overline{EF}\) (Opposite sides of a parallelogram are parallel)
∠GFD ≅ ∠EFD (Alternate interior angles)
∠DFG ≅ ∠FDE (Alternate interior angles)
\(\overline{DF} \cong \overline{DF}\) (By the reflexive property of congruence)
Therefore
ΔDGF ≅ ΔFED (Angle-Side-Angle (ASA) condition of congruency)
Which gives;
\(\overline{DE} \cong \overline{GF}\) and \(\overline{DG} \cong \overline{EF}\) (Congruent Parts of Congruent Triangles are Congruent (CPCTC).
Today, Sam is 3 times older than James.
11 years from today, James will be 26
years old. How old is Sam today?
B) 15
C) 19
D) 35
E) 45
Answer:
it's 56 but I don't see it as a answer
Step-by-step explanation:
before 11 pass, which 26-11= 15 so James was 15 years old and Sam is 3 times which is 45 and 11 years pass on and James is now 26 and Sam should be 56. hope 56 is a answer choice!
Given g(x)=-x+4g(x)=−x+4, find g(5)g(5) whats the answer?
Answer:
g(x) = -4g(x) = -x+4
= g(5) = -4(5) = -(5)+4
= g(5) = -20 = -1
Write an if statement that decreases the value of shelf_life by 4 if the value of outside_temperature is greater than 90.
Using C language, the if statement that decreases the value of shelf_life by 4 if the value of outside_temperature is greater than 90 is:
if(outside_temperature < 90)
shelf_life -= 4
What is an if statement?An if statement is when a variable has it's value changed according to a condition.In this problem, if the value of outside_temperature is greater than 90, the value of shelf_life is decreased by 4, hence, using a programming language such as C, the if statement is:
if(outside_temperature < 90)
shelf_life -= 4
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w=4u + 3
Find the value of w when u=8
Answer:
35 You need to put 8 as w=4(8)+3 then you times 4 and 8 which equals 32 then you are going to add 32 with 3 to get 35
The value of W is 35 if we put u = 8 in the equation W = 4u + 3.
What is an equation?An equation is a mathematical statement in algebra that consists of an equal symbol between two algebraic expressions with the same value.
How to solve this problem?Given that W = 4u + 3.
In order to get the desired value, we have to put u = 8 in this equation.
Then W = 4 × 8 + 3 = 32 + 3 = 35
Therefore, the value of W is 35 if we put u = 8 in the equation W = 4u + 3.
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What are the 7 types of functions?
There are 22 different types of functions based on range, element, equation, and domain.
Based on the range it includes Modulus Function, rational function, signum function, even and odd functions, periodic functions, greatest integer function, inverse function, and composite functions. On the basis of elements, it includes One One function, many one functions, onto function, one one and onto function, into function, and constant function. On the basis of the equation, it includes the identity function, linear function, quadratic function, cubic function, and polynomial functions. On the basis of the domain, it has algebraic functions, trigonometric functions, and logarithmic functions.
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Mr. Green’s hobby was restoring old houses. He recently purchased an old rundown house that needed a lot of repair, especially with the plumbing. The kitchen faucet dripped all day and night. It intrigued Mr. Green how much water dripped from this faucet in one day,but he surely didn’t want to sit and watch the faucet drip all day. So he figured that if he could discover how much water dripped within a certain time span, he could calculate the dripping rate for any time span. In his first observation he noted that 6 ounces of water dripped in 10 minutes.
A) Using Mr. Green's observation can you help him figure out how much water would have dripped in only 5 minutes? Show your work or explain your answer
Answer:
if you divide the rate like this 6oz/10min by two you get 3oz/5min. this
means 3oz of water drips' in 5min
a store sells a shirt that is discounted 10%. A coupon is used for an additional 10% off the discount price. what is the total percentage discount on the shirt.
Answer:
20% percent is the total discount
Step-by-step explanation:
Answer:
The answer to your question is 20%
Step-by-step explanation:
Think of it as a simple addition problem and take the percentages out of it. Since we want to know what the total discount of the shirt is we could take the original discount of the store (10% or 10) and then we could take your coupon for (10% or 10) and add them together to get the total discount of the shirt. That's a really exaggerated way to put it so think of it like this:
10%+10%= 20%
Can sum1 help me plot the point 1/4, -2 1/4, 1 1/2?
Answer:
I do not have a graph rn but I hope I helped
Step-by-step explanation:
well, yo just have to find 0.25 on the graph, mark it then do the same for -5.25 and 5.5
The volume of a cube is 343 cubic meters. what is the length of one of the sides?
infinite limits algebraic
Answer:
B is your answer
Step-by-step explanation:
PLEASE MARK BRAINLIEST
In 1895, the first a sporting event was held. The winners prize money was 150. In 2007, the winners check was 1,163,000. (Do not round your intermediate calculations.)
What was the percentage increase per year in the winners check over this period?
If the winners prize increases at the same rate, what will it be in 2040?
The estimated winners' prize in 2040, assuming the same rate of increase per year, is approximately $54,680,580,063,400.
The initial value is $150, and the final value is $1,163,000. The number of years between 1895 and 2007 is 2007 - 1895 = 112 years.
Using the formula for percentage increase:
Percentage Increase = [(Final Value - Initial Value) / Initial Value] * 100
= [(1,163,000 - 150) / 150] * 100
= (1,162,850 / 150) * 100
= 775,233.33%
Therefore, the winners' check increased by approximately 775,233.33% over the period from 1895 to 2007.
To estimate the winners' prize in 2040, we assume the same rate of increase per year. We can use the formula:
Future Value = Initial Value * (1 + Percentage Increase)^Number of Years
Since the initial value is $1,163,000, the percentage increase per year is 775,233.33%, and the number of years is 2040 - 2007 = 33 years, we can calculate the future value:
Calculating this expression:
Future Value = 1,163,000 * (1 + 775,233.33%)^33
Using a calculator or computer software, we can evaluate this expression to find the future value. Here's the result:
Future Value ≈ $1,163,000 * (1 + 77.523333)^33 ≈ $1,163,000 * 47,051,979.42 ≈ $54,680,580,063,400
Therefore, based on the assumed rate of increase per year, the estimated winners' prize in 2040 would be approximately $54,680,580,063,400.
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Linear equations
I need help with these
Instructions: choose two linear equations in each box. Write them below. For #3-#8, find the slope and y-intercept of each equation.
Then graph each line on a coordinate plane on the next page. Label each line neatly with its corresponding equation.
The graph of the equations are added as attachment
How to determine the graphs of the equationsChoose two linear equations
In this case, we make use of the following linear equations
y = 2x + 4 and y = -3x + 5
The slope and y-intercept of each equation
A linear equation is represented as
y = mx + c
Where
Slope = m and y-intercept = c
This means that the slope and y-intercept of each equation are
y = 2x + 4
Slope = 2
y-intercept = 4
y = -3x + 5
Slope = -3
y-intercept = 5
See attachment for the graph of the functions
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Question 1: In January, a puppy weighed 4kg.
Three months later, the same puppy weighed 5kg.
What was the percentage increase in the puppy's weight?
Answer:
sorry bro I didn't understand
A coin is tossed 3 times. Find the probability of getting exactly two head
In this problem, we have a binomial probability distribution
so
n=3
p=0.50
q=0.50
Find out P(X=2)
\(P(X=2)=\frac{3!}{2!(3-2)!}*0.50^2*0.50^{(3-2)}\)P(X=2)=0.3752 feet,6 inches = inches
Answer:
im not sure what youre aasking?
2 foot 6 inches???
Step-by-step explanation:
Answer:
Step-by-step explanation:
= 6x2+the number can be your answer.
I need the answers to this math problem asap
Express each of these statment using quantifires :
a) every student in this classes has taken exactly two mathematics classes at this school.
b) someone has visited every country in the world except Libya
Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
a) "Every student in this class has taken exactly two mathematics classes at this school."
In this statement, we have two main quantifiers:
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.
Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.
So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."
b) "Someone has visited every country in the world except Libya."
In this statement, we also have two main quantifiers:
Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.
So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."
In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.
Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
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Point M is the midpoint of AB.
AM=4x+13 BM=3x+17. Find BM.
Given, AM=4x+13 and BM=3x+17.Point M is the midpoint of AB.Thus, AM=BMAM=BM4x + 13 = 3x + 17x = 4Thus, BM = 3x + 17BM = (3 * 4) + 17 = 12 + 17 = 29
The midpoint of a line segment is the point that divides the segment into two equal halves. A line segment has only one midpoint. A perpendicular bisector divides a line segment into two equal parts.
It is possible that a point is not the midpoint of a line segment, but it is the perpendicular bisector of the line segment.
AM = 4x + 13 and BM = 3x + 17 are given.
Point M is the midpoint of AB.
AM=BM ⇒ 4x + 13 = 3x + 17x = 4.
Substitute x = 4 in BM = 3x + 17BM
= 3(4) + 17 = 12 + 17 = 29Thus, the value of BM is 29 units.
Point M is the midpoint of AB and BM is 29 units.
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Which type of error explains the variability in the results between groups: mistakes, random, or systemic
The type of error that explains the variability in the results between groups is "random error."Explanation:Random error is the variability between the groups' results due to the imprecision of the measuring instrument or technique.
It is caused by minor differences in the experimental conditions that are unpredictable and can not be controlled or accounted for in the experiment. Random error can lead to imprecise results that fluctuate from the main answer, which means that it is not biased towards one particular direction.The other type of error that is commonly known is "systematic error" which is characterized by consistent errors that occur in a specific direction due to the method or instrument used.
Systematic error is due to the inaccuracy of the measuring instrument or incorrect experimental design, and it can affect the accuracy of the main answer. Mistakes or human errors, on the other hand, are due to human error, such as incorrect calculations or transcriptions, and are not part of the sources of errors.
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