Answer:
0.0520833333 is the answer
Answer:
0.05208333333 (reoccurring)
Step-by-step explanation:
Simple bus stop division (:
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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A company currently has an advertisement that covers a billboard that is 30 ft wide by 50 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25 ft wide by 30 ft high What are the dimensions of the largest advertisement that will fit on the new billboard without cropping the advertisement?
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Question 3. Instructions are below for each part
Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.
Here, we have,
The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.
They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.
The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.
The lake's brilliant blue hue is a result of Tahoe's clean air and water.
There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.
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complete question:
As you respond to Part A, Part B, and Part C, follow the directions below.
Address all of the instructions in each prompt.
Use evidence from the information provided and your own knowledge of science to support your responses.
Part A
Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.
Can anyone help me out with permutations and combinations. I really need help. A Levels
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
Given this equation what is the value at the indicated point?
Answer:
1 = y^2 - 2
y^2 = 3, so y = -√3
A fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a -hour break in the morning, a -hour break for lunch, and a -hour break in the afternoon. How many hours of break time does the worker receive per day?
The worker recieves 3 hours of break time per day.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a a fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a hour break in the morning, a hour break for lunch, and a hour break in the afternoon.
The worker recieves three breaks, meaning it recieves 3 hours of break time per day.
Therefore, the worker recieves 3 hours of break time per day.
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2-5x=7x-12
what is the answer to this solution
Answer:
7/6
Step-by-step explanation:
Subtract 2 from both sides and subtract 7 from both sides and get -14/-12x and make the fraction smaller and get 7/6.
Find the volume of the cylinder to the nearest cubic foot. Use a calculator. A. 236 ft3 B. 942 ft3 C. 251 ft3 D. 75 ft3
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)
Answer:
236 ft^3
Step-by-step explanation:
Base radius = 5 ft
Height = 3 ft
Volume = πr^2h
= π × 5^2 × 3
= 75π
= 235.61944901923 feet^3
Nearest Cubic Foot = 236 ft^3
Nearest Cubic Foot:
Hence Answer is:
236 ft^3
Hope this helps!
PLS HELP!!
PLSSSSSSSSSSSSSSS!!!!!
Answer:
1. x = 15
2. x = 26
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
~(P ∨ (P ⊃ Q))
A.tautology
B.contradiction
C.contingent
D.None of the above
The statement ~(p v (p ^ q)) is classified as follows:
C. contingent
What are tautologies and contradictions?When a logic statement is always true, no matter the inputs, it is called a tautology. Otherwise, when a statement is always false, no matter the inputs, it is called a contradiction.
If the statement can be either true or false, depending on the boolean values of the inputs, the statement is called contingent.
The statement given in this problem is as follows:
~(p v (p ^ q))
From the precedence of operations, it is found that:
p ^ q can be either true or false, true if p = q = 1, false otherwise.p v (p ^ q) is false if p = q = 0 and true otherwise. ~(p v (p ^ q)) is the negation of the above statement, that is, true if p = q = 0 and true otherwise.Since the statement can be either true or false, depending on the boolean values of p and q, it is classified as contingent, and option c is correct.
Missing informationThis problem is incomplete and could not be found on any search engine, hence I will consider that it asks to classify the statement ~(p v (p ^ q)).
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The Student Council at Longhorn Middle School wants to petition the principal to begin school at 9 A.M., which is one hour later than the current start time, 8 A.M. To support their petition, the Student Council conducts a survey to determine students’ preferred start time. Describe a surveying method the Student Council can use to obtain a representative sample.
Answer:
A petition
Step-by-step explanation:
Not much to explain, get people to add signatures then show the school
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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someone tell me the slope please
Answer:
\(\frac{0}{5}\) or zero.
Step-by-step explanation:
The pair on the left is (-4, -5). The pair on the right is (1, -5).
In order to find the slope, you must first subtract the y in the first pair by the y in the second pair. Then what ever answer you get will be your numerator. Then, subtract the x in the second pair by the x in the first pair and that will be your denominator. So, in this case, it would be \(\frac{-5 - -5}{1 - -4}\) which equals \(\frac{0}{5}\). If a zero is the numerator, that means that the fraction is zero. If the zero had been on the bottom, then the answer would have been undefined.
In short the formula to find slope is: \(y^{2}\)- \(y^{1}\) over \(x^{2}\) - \(x^{1}\).
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Answer:
51 square units
Step-by-step explanation:
Area of a parallelogram = base x height
⇒ area = 4 x 3 = 12 square units
Area of a rectangle = width x length
width = √(2² + 3²) = √13
length = √(9² + 6²) = √117
area = √13 x √117 = 39 square units
Total area = 12 + 39 = 51 square units
While driving your rental car on your vacation in Europe, you find that you are getting 13.3 km/of gasolineWhat does this value correspond to in miles per gallon?
13.3km/L=__________mi/gal
The rental car is getting approximately 37.56 miles per gallon.
To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:
1 km/l ≈ 2.82475 mpg
Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:
13.3 km/l x 2.82475 mpg ≈ 37.56 mpg
So, your rental car is getting approximately 37.56 miles per gallon.
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What is the answer to the question??
Answer:you need to show the diagram in order for me to
Step-by-step explanation:
HELP
Given the equation,
y = 1/3x - 4, what is the slope and the y-intercept?
m= 4 and b= 1/3
m= -4 and b=1/3
m= 1/3 and b= 4
m= 1/3 and b= -4
Answer:
m = 1/3 and b = - 4
Step-by-step explanation:
The equation already gives the answer as the equation is in slope-intercept form.
\(y = mx + b\)
Where m = slope and b = y-intercept.
From the equation —
\(y = \frac{1}{3} x - 4 \\ m = \frac{1}{ 3} \\ b = - 4\)
Therefore, our slope is 1/3 and y-intercept is - 4.
Merge onto Highway 40 and drive 3/5
mile. Stop and pay the toll. Then
continue on Highway 40 for twice this.
distance. How much longer will you be
on Highway 40 after you pay the foll?
Distance traveled after toll payment is 1.2 miles on highway 40.
What is Distance ?The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.
Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.
The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.
Distance traveled before toll payment =3/5 miles on highway 40
Distance traveled after toll payment =2*3/5 = 6/5 =
1.2 miles on highway 40.
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You have $300,000 to invest. There are 2 possible investments you can make. Super Apple Sauce will return $135 for every $57 invested in 5 years and Markers Inc. will return $5 for every $1 invested in 5 years.
What is the APY for each (answer as a percent)?
Super Apple Sauce APY =
%
Markers Inc APY =
%
What is the Total Return for each (answer as a percent)?
Super Apple Sauce Total Return =
%
Markers Inc Total Return =
%
The APY for super apple sauce APY is 13.4%, markers inc APY is 37.9%. The total return for super apple sauce is 137%, markers inc is 400%.
What is interest?Interest refers to the amount of money that is charged or earned in relation to a principal amount of money.
According to question:To calculate the APY (annual percentage yield) for each investment, we need to use the following formula:
APY = (1 + r/n)^n - 1
1) For Super Apple Sauce, the return is $135 for every $57 invested in 5 years. Annual interest rate of:
r = (135/57)^(1/5) - 1 ≈ 0.134
Since the interest is compounded yearly, n=1. Using the formula, we get:
APY = (1 + 0.134/1)^1 - 1 ≈ 0.134 or 13.4%
Therefore, the APY for Super Apple Sauce is approximately 13.4%.
2) For Markers Inc., the return is $5 for every $1 invested in 5 years. Annual interest rate of:
r = (5/1)^(1/5) - 1 ≈ 0.379
Since the interest is compounded yearly, n=1. Using the formula, we get:
APY = (1 + 0.379/1)^1 - 1 ≈ 0.379 or 37.9%
Therefore, the APY for Markers Inc. is approximately 37.9%.
The total return for each investment:
Total Return = (Ending Value - Beginning Value) / Beginning Value
3) For Super Apple Sauce, the beginning value is $57 and the ending value is $135, so the total return is:
Total Return = ($135 - $57) / $57 ≈ 1.37 or 137%
Therefore, the total return for Super Apple Sauce is approximately 137%.
4) For Markers Inc., the beginning value is $1 and the ending value is $5, so the total return is:
Total Return = ($5 - $1) / $1 = 4 or 400%
Therefore, the total return for Markers Inc. is 400%
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what's the inverse of f(x)=(x+3)^5
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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12 is ____ % of 200.
Answer:
12 is 6% of 200
Step-by-step explanation:
I just used a little mental math
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
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Which number below has the greatest value? 10 1/9, 10 3/7, 10 2/5, 10 1/2 10 1/7
Answer:
10 1/2
Step-by-step explanation:
if you change each fraction into a decimal 1/2 is the greatest
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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You have a monthly salary of $1,500 and earn 6.5% commission on your sales. If you had $53,000 in sales last month, what were your total earnings for the month
Your total earnings for the month is $3595.
Given the following data:
Monthly salary = $1,500Commission = 6.5%Sales = $53,000To find your total earnings for the month;
First of all, we would determine the amount earned with a commission of 6.5%;
\(Amount \; earned = Commission\) × \(\frac{6.5}{100}\)
\(Amount \; earned = 53000\) × \(\frac{6.5}{100}\)
\(Amount \; earned = 53000\) × \(0.065\)
Amount earned = $3445
Next, we would solve for the total earnings for the month;
\(Total \; earnings = Monthly \; salary + Amount \; earned\\\\Total \; earnings = 1500 + 3445\)
Total earnings = $3595
Therefore, your total earnings for the month is $3595.
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A line passes through the point (3,9) and has a slope of 4
Write an equation in point-slope form for this line.
Answer:
y - 9 = 4(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 4 and (a, b ) = (3, 9 ) , then
y - 9 = 4(x - 3) ← equation of line
SOMEBODY HELP PLS WILL GIVE BRAINLYEST!!!!!
Find the value of x.
Question 9, *8.3.23 >
5
X=
(Do not include the degree symbol in your answer. Round to the nearest degree as needed)
So the value of x is 51° and we can find it by trigonometric angle and trigonometric functions.
What is trigonometric angle?The ratios of the trigonometric functions which determines angles are known as trigonometric angles. The relationship between a triangle's angles and sides is the subject of trigonometry. The value of the angle is between 0 and 360 degrees. The crucial trigonometric angles are 0, 30, 45, 60, 90, 180, 270, and 360 degrees.
\(tan\ \theta = \frac{p}{b}\)
where, p is perpendicular
and, b is base of the triangle
\(tan\ x^{\circ}} = \frac{5}{4}\)
\(tan\ x^{\circ} = 1.25\)
\(x^{\circ} = tan^{-1} 1.25\)
\(x^{\circ} = 51.34^{\circ} ($\approx$ 51^{\circ} )\)
So \(x^{\circ} = 51^{\circ}\).
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