What is 1.63 to the third power
Answer: 4.330747
Step-by-step explanation: Hoped this helped:))
Answer:
4.330747
Step-by-step explanation:
sally can paint a room in 3 hours while it takes steve 8 hours to paint the same room. how long would it take them to paint the room if they worked together ?
Answer:
2 hours 11 minutes
Step-by-step explanation:
Each hour Sally can paint 1/3 rooms, Steve can paint 1/8 rooms.
If they work together, each hour they can paint 1/3 + 1/8 = 11/24 rooms.
So They will take 1/(11/24) = 24/11 = 2.18 hours to paint a whole room.
2.18 hours = 2 hours 0.18*60 minutes
0.18 * 60 = 11
Answer: 2 hours 11 minutes
Prove that the only automorphism of a well-ordered set is the identity?
The only automorphism of a well-ordered set is the identity.
To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.
Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.
Let f: W → W be an automorphism of the set.
We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.
Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.
Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.
Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.
Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.
Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.
Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.
By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.
However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.
Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.
Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.
Hence, the only automorphism of a well-ordered set is the identity function.
Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.
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A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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Which of the following numbers is one-fifth of a given number if one-fourth of that same number is 20? Select the single best answer: A 10 B. 15 C. 20 D. 16 E. 25 usuan West >>
16 is the number which is one-fifth of a number when one-fourth of that same number is 20.
As per the given data:
One-fourth of the number is resulted to 20.
Here we have to determine the result of one-fifth of the same number from the given options.
An expression for a portion of a whole is a fraction.
For any real numbers, the fractional component of x is defined.
Let the number be X.
One-fourth of a number is 20 which means:
Multiply the one-fourth fraction with an unknown number which results in the number 20.
\($\frac{1}{4}\) (X) = 20
X = 20 × 4
X = 80
Now we have to determine that one-fifth of the same number.
Multiply the one-fifth fraction by 80.
We get:
= \($\frac{1}{5}\) (80)
= \($\frac{1}{5}\) × 5 × 16
= 16
One-fifth of the number 80 is 16
Therefore Option (D) - 16 is the correct answer.
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Would the value of (12 - 4) = 4+1 change if the parentheses were removed? Explain.
Answer:
It would not
Step-by-step explanation:
(12-4)=4+1 would be 8=5
12-4=4+1 would also be 8=5
26. A triangular playground has angles with measures in the ratio 8: 7:5. What is the measure of the smallest angle?
28°
45°
6°
39⁰
Answer:
smallest angle = 45°
Step-by-step explanation:
given ratios of angles 8 : 7 : 5 = 8x : 7x : 5x ( x is a multiplier )
the sum of the 3 angles in a triangle is 180° , then
8x + 7x + 5x = 180
20x = 180 ( divide both sides by 20 )
x = 9
smallest angle measure is 5x = 5 × 9 = 45°
what is the ratio of 10 :30
Answer: 1:3
Step-by-step explanation:
To simplify the ratio 10:30, we find the greatest common divisor of 10 and 30, and then we divide 10 and 30 by the greatest common divisor.
The greatest common divisor that you can use to simplify 10:30 is 10. Which means the answer to ratio 10:30 simplified is:
1:3
Here is the math to illustrate better:
10/10 = 1 and 30/10 = 3
Thus, 10:30 ratio simplified is 1:3
#HopeIthelps
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
Add parentheses to the expression so that its value is 45:
5 × 4 + 8 - 3
no parentheses are needed
5 × (4 + 8 - 3)
5 × (4 + 8) - 3
5 × 4 + (8 - 3)
Answer:
first one
Step-by-step explanation:
Solve each equation. Round to the nearest ten-thousandth.
17(0.3x+5)
Answer:
first option
Step-by-step explanation:
using the property of logarithms
ln \(x^{n}\) = nlnx ( ln is the natural logarithm )
given
\(17^{(0.3x+5)}\) = 12
take the ln of both sides
ln \(17^{(0.3x+5)}\) = ln 12 , then
(0.3x + 5) ln 17 = ln 12 ( divide both sides by ln 17 )
0.3x + 5 = \(\frac{ln12}{ln17}\) ≈ 0.877063 ( subtract 5 from both sides )
0.3x ≈ - 4.12293 ( divide both sides by 0.3 )
x = \(\frac{-4.12293}{0.3}\) ≈ - 13.7431 ( to the nearest ten thousandth )
Please help,
How do I show the steps to my answer (without using a calculator)?
1/2 x 18 = ?
Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Suppose that quiz scores in a beginning statistics class have a mean of 7.3
with a standard deviation of 0.3
. Using Chebyshev's Theorem, state the range in which at least 75%
of the data will reside. Please do not round your answers.
(PLEASE GIVE BRAINLIEST)
Chebyshev's theorem states that at least 1 - 1/k^2 of the data will be within k standard deviations from the mean. In this case, we want to find the range in which at least 75% of the data will reside, so we need to solve for k.
75% = 1 - 1/k^2
1/k^2 = 1 - 75%
1/k^2 = 1 - 0.75
1/k^2 = 0.25
k^2 = 1/0.25 = 4
k = sqrt(4) = 2
So, at least 75% of the data will be within 2 standard deviations from the mean. To find the range, we need to calculate the mean plus and minus 2 standard deviations:
mean + 2 standard deviations = 7.3 + 2 * 0.3 = 7.3 + 0.6 = 7.9
mean - 2 standard deviations = 7.3 - 2 * 0.3 = 7.3 - 0.6 = 6.7
So, the range in which at least 75% of the data will reside is between 6.7 and 7.9.
Avery is buying exactly 15 fish. They can choose between angelfish and goldfish
1. Write an equation that represents how many angelfish Avery buys (a) if they buy g goldfish
2. How many angelfish does Avery buy if they buy 11 goldfish?
Answer:
1. 15 - g = a
2. 4
Step-by-step explanation:
1. Because the total must sum to 15, a + g = 15. If we subtract g from both sides, we get 15 - g = a.
2. Plugging in 11 for g in the equation, we get a = 15 - 11 = 4
The required solutions are as follows,
(a) The equation, that represents the number of angelfish purchased is a = 15 - g.
(b) Along with 11 goldfish Avery bought 4 angelfish.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of angelfish purchased be a,
According to the condition,
(a) a + g = 15
a = 15 - g
(b)
a + g = 15
Put g = 11
a + 11 = 15
a = 4
Thus, the solutions for the given problem are shown above.
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What is the value of x, when -25(x - 4) = -55(x - 10)?
Answer:
-25(x - 4) = -55(x - 10)
-25x+100= -55x+550
-25x+55x=550-100
30x=450
x=15
Answer:
x= 15
Step-by-step explanation:
Step 1- Distribute into the parenthesis
-25x-(-25)4= -55x-(-55)10
Step 2- Multiply to simplify
-25x+100= -55x+550
Step 3- Add -55x to both sides
-25x+100= -55x+550
+55x +55x
Step 4- Subtract 100 to both sides
30x+100= 550
-100 -100
Step 5- Divide both sides by 30
30x= 450
30 30
x= 15
Evaluate functions from their graph g(−9)=
See the Correct Answer Attached!
Evaluating the function from the given graph, g(-9) = 1.
How to Evaluate a Function?To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.
To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.
The graph shows that when x = -9, the corresponding y-value is 1.
Therefore, g(-9) = 1.
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Please help! I am struggling in my math course.
Answer:
That is a function so type y
Step-by-step explanation:
This is a one to one relationship and each input has one output so pick the 4th bubble D
I hope this helps
The initial price for wingstop is $40. After using a 30% discount, what is the
new cost?
Answer:
$28 dollars is the new cost
Step-by-step explanation:
$40 - 30% = $28
Determine whether ASTU is similar to ASDC. If so state how do you know.
Two similar triangles have the same angles in all cases. Let's compare angle by angle of both triangles and find if they are equal or not.
When two lines are crossed, the opposite angles are equal, they are called vertical angles:
In this case:
the red angles are equal. This is:
∠CSD = ∠TSU
For the rest of the angles....
we have that the triangle ΔSDC has a 63º angle,
and the triangle ΔSTU has not a 63º angle just a 66º angle and a 40º angle.
Then, ΔSDC and ΔSTU have not the same angles.
Then, they are not similar
Answer: D ΔSDC and ΔSTU are not similarA 4-quart container of window cleaner costs $10.08. What is the price per cup?
Answer:
2.54
Step-by-step explanation:
10.08/4 = 2.54
Suppose you have a bag with letter tiles in it and of the tiles are the letter . If you pick a letter tile at random from the bag, the probability that it is the letter is
. Suppose another bag has 25 letter tiles in it and 4 of the tiles are the letter j . Write the probability of picking a tile that is the letter j as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter j ?
Question content area bottom
The probability of picking the title that is letter j is 4/25 in fraction and in percent is 16%. we are more likely to pick a tile that is the letter from the first bag.
The probability of picking a letter tile that is the letter from the first bag is given as and from the second bag, it is 4/25.
To write the probability of picking a tile that is the letter j as a fraction and a percent, we can use the formula:
Probability = Number of desired outcomes / Total number of possible outcomes
For the second bag, the number of desired outcomes (the number of letter j tiles) is 4 and the total number of possible outcomes (the total number of tiles) is 25. Therefore, the probability of picking a tile that is the letter j from the second bag is:
Probability = 4 / 25
To write this as a percent, we can multiply by 100:
Probability = 4 / 25 * 100%
Probability = 16%
Comparing the probabilities, we can see that the probability of picking a letter tile that is the letter from the first bag is higher (since it is given as ) compared to the probability of picking a tile that is the letter j from the second bag, which is 16%.
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Will give brainliest answer
Answer:
A = 25 pi units^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi * 5^2
A = 25 pi units^2
Answer:
A = 78.5
Step-by-step explanation:
Area of a Circle: A = πr²
We are given r, so plug it in:
A = π(5)²
A = 25π
A = 78.5
please help me
thank
Answer:
D will round to 18.96
Step-by-step explanation:
18.958, 5+ will get rounded higher so it turns to 18.96, hope this helps you!
What is the slope of the line in the graph below
Answer:
y = 2x
Step-by-step explanation:
The slope is 2 because it goes up 2 for every 1 across
It passes through the origin so there is other term
What is the exact value of tan(105°)
Answer:
Exact Form of tan(105):
−2−√3
What is the measure of A?
А [?] degrees
B 87
C 35
Answer:
B 87
Step-by-step explanation:
Answer: 58
explanation: Acellus
Identify an equation in standard form for ellipse with its center at the origin, a vertex at (3, 0), and a focus at (1, 0). Below are the options for the answer. HELP ASAP!!!
The equation in standard form of the eclipse is expressed as:
D. x²/9 + y²/8 = 1.
How to Write the Equation of an Eclipse in Standard Form?The standard form equation for an ellipse with center at the origin, a vertex at (a, 0), and a focus at (c, 0) is:
x²/a² + y²/b² = 1, where c² = a² - b².
In this case, the center is at the origin, a vertex is at (3, 0), and a focus is at (1, 0).
Since the center is at the origin, we know that a vertex is located a distance of a units to the right and left of the center, so a = 3.
Since the focus is located a distance of c units to the right and left of the center, we know that c = 1.
Using c² = a² - b², we can solve for b²:
1² = 3² - b²
b² = 8
So the equation in standard form is:
x²/9 + y²/8 = 1.
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Please provide the answer
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.