(a) One standard deviation above the mean is 41 minutes, while one standard deviation below the mean is 27 minutes. Two standard deviations above the mean is 48 minutes, and two standard deviations below the mean is 20 minutes.
(b) Without assuming anything about the distribution of times, we can determine that at least 75% of the times are between 20 and 48 minutes.
(c) Without assuming anything about the distribution of times, we can conclude that no more than 11% of the times are either less than 13 minutes or greater than 55 minutes.
(d) is missing from the question, but it would involve calculating the percentage of times between 20 and 48 minutes assuming a normal distribution.
(a) The mean of 34 minutes is the reference point, and one standard deviation above the mean (34 + 7 = 41 minutes) and one standard deviation below the mean (34 - 7 = 27 minutes) can be calculated based on the given standard deviation of 7 minutes.
Similarly, two standard deviations above the mean (34 + 2*7 = 48 minutes) and two standard deviations below the mean (34 - 2*7 = 20 minutes) can be calculated.
(b) Without knowing the specific distribution of times, we can determine that at least 75% of the times fall between 20 and 48 minutes. This conclusion is based on the fact that one standard deviation above and below the mean captures approximately 68% of the data in a normal distribution, and extending it further covers even more data.
(c) Without assuming the distribution, we can infer that no more than 11% of the times are either less than 13 minutes or greater than 55 minutes. This conclusion is based on the fact that the total percentage outside of two standard deviations from the mean in a normal distribution is approximately 5% (2.5% on each tail), and it is given that the percentage is "no more than" this value.
d)(d) Assuming that the distribution of times is approximately normal, we can calculate the percentage of times between 20 and 48 minutes using the properties of a normal distribution. Since the mean is 34 minutes and the standard deviation is 7 minutes, we can calculate the z-scores for 20 minutes and 48 minutes.
The z-score for 20 minutes is calculated as (20 - 34) / 7 = -2, and the z-score for 48 minutes is (48 - 34) / 7 = 2.
To find the percentage of times between 20 and 48 minutes, we subtract the area to the left of -2 from the area to the left of 2: 0.9772 - 0.0228 = 0.9544.
Therefore, approximately 95.44% of the times are between 20 and 48 minutes, assuming a normal distribution.
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Complete Question:
14. [6/9 Points] DETAILS PREVIOUS ANSWERS PODSTAT6 4.4.042.MI. MY NOTES ASK YOUR TEACHER The average playing time of music albums in a large collection is 34 minutes, and the standard deviation is 7 minutes. (a) What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean? 1 standard deviation above the mean 41 1 standard deviation below the mean 27 2 standard deviations above the mean 48 2 standard deviations below the mean 20 (b) Without assuming anything about the distribution of times, at least what percentage of the times are between 20 and 48 minutes? (Round the answer to the nearest whole number.) At least 75 % (c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 13 minutes or greater than 55 minutes? (Round the answer to the nearest whole number.) No more than 11 % (d) Assuming that the distribution of times is approximately normal, about what percentage of times are between 20 and 48 minutes? (Round the answers to two decimal places, if needed.) 95.44 X % Less than 13 min or greater than 55 min? 0.26 X % Less than 13 min? 0.26 X % PRACTICE AN
For questions 1-2, find the distance and midpoint of the segments given the endpoints. 1. AB with A(3, 4) and B(-1, 10) Midpoint
Given the points A(3,4) and B(-1,10), we can find the distance between them using the following function:
\(d(A,B)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)then, we have the following:
\(\begin{gathered} (x_1,y_1)=(3,4)=A \\ (x_2,y_2)=(-1,10)=B \\ \Rightarrow d(A,B)=\sqrt[]{(-1-3)^2+(10-4)^2}=\sqrt[]{4^2+6^2}=\sqrt[]{16+36}=\sqrt[]{52} \\ =\sqrt[]{4\cdot13}=2\cdot\sqrt[]{13} \\ d(A,B)=2\cdot\sqrt[]{13} \end{gathered}\)If you replace the light bulb every 9 months and the air filter every 6 months and you just replaces them both home many months till you replace it again.
If the light bulb is replaced every 9 months and the air filter is replaced every 6 months, and both were recently replaced, we need to determine the number of months until they both need to be replaced again.
To find the number of months until both the light bulb and air filter need to be replaced again, we need to find the least common multiple (LCM) of the replacement intervals.
The replacement interval for the light bulb is 9 months, and for the air filter, it is 6 months.
The LCM of 9 and 6 is 18. Therefore, after 18 months, both the light bulb and air filter will need to be replaced again.
So, the number of months until they both need to be replaced again is 18 months.
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the width of a rectangle is 7 cm less than its length. If it perimeter us 50cm calculate its dimensions
Answer:length=10 width =5 Perimeter =30
Step-by-step explanation:
Area =LxW
If area is 50cm^2 and length is 5cm more than The width then the length must be 10cm. Now divide the area by the length to get width. 50/10=5 which is the width.
The formula for perimeter is P=2L+2W
P=2(10)+2(5)
P=30
in each of problems 6 through 7, use the linearity of the laplace transform to find the laplace transform of the given function; a and b are real constants. 6. f (t) = cohs(bt)
The laplace transform of the given function where a and b are real constants is \(= \frac{s}{s^2-b^2}\).
In each of problems 6 through 7 By using the linearity of the laplace transform.
To find the laplace transform of the given function:
Given f(t) = cosh(bt)
\(= \frac{e^{bt}+e^{-bt}}{2} \\\\L[e^{bt}] = \frac{1}{s-b} \\\\L[e^{bt}] = \frac{1}{s+b} \\\\\\f(s) = \frac{1}{2} [\frac{1}{s-b}+ \frac{1}{s-b} ]\\\\= \frac{1}{2}[\frac{s+b+s-b}{s^2 - b^2} ]\)
By simplifying, we get
\(= \frac{s}{s^2-b^2}\)
Hence the answer is the laplace transform of the given function where a and b are real constants is \(= \frac{s}{s^2-b^2}\).
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I got a 9.5 out of 15 on a quiz, what's my grade? (percentage)
Answer:
63%
Step-by-step explanation:
9.5/15
hope this helps
your grade is a %63.333333333333
The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time
The time at which the buses will leave at the same time is 8:40 am.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 3 x 2 = 6
2 is a factor of 3.
We have,
Buses:
X leaves every 25 minutes.
Y leaves every 20 minutes.
We need to find the least common multiples of 25 and 20.
25 x 4 = 100
20 x 5 = 100
100 is our least common multiple of 25 and 20.
We see that,
4 is a factor of 24 which gives 100.
This means after 4 times, bus X will leave with bus Y at the same time.
5 is a factor of 20 which gives 100.
This means after 5 times, bus Y will leave with bus X at the same time.
The first buses to X and Y leave a bus station at 7 am.
After 100 minutes, buses X and Y will leave at the same time.
= 7am + 100 minutes
= 7 + 60 minutes + 40 minutes
= 7 + 1 hour + 40 minutes
= 8:40 am
Thus,
The time at which the buses will leave at the same time is 8:40 am.
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130. Geometry The length of a rectangle is five meters more than twice the
width. Express the length of the rectangle in terms of the width.
Answer: l = 2w + 5
Step-by-step explanation:
The length is five meters more than something. Since the 5 meters more than (addition) comes first, you know it's not going to be in parentheses and is instead going to precede the next term. Right now, your equation should look like
l = 5 + ?
Now, we get to "twice the width." This is the second term, the ? in the previous equation. Two times the width can just be written as 2w, so that's how you're going to express it. In the end, your final equation just comes out to
l = 5 + 2w
Find the value of x for which ABCD must be a parallelogram.
help please I have no idea
Answer:
There is nothing here to answer.
Step-by-step explanation:
What the question is asking you to do is
convert
\( \frac{20}{200} \)
into a percentage.
First, we will divide the numerator and denominator by 2 to get the denominator to 100 , then from there, we can get the percentage value from the numerator.
\( \frac{20 \div 2}{200 \div 2} \\ = \frac{10}{100} \)
From the fraction above, we can see that the 20 is 10% of 200 , from the numerator.
Find the degree of the monomial.
7b^2c^6
Answer:
8
Step-by-step explanation:
Add the exponents of the variables.
2 + 6 = 8
Degree: 8
Answer:
8
Step-by-step explanation:
The degree is the sum of all the exponents.
Hope I helped.
(Realized I was wrong and changed it)
Santa seated his guests so that X number of people sat at each of Y number of tables. Mrs. Claus placed Y number of people at each table, but she had X number of tables. Compare the number of guests Santa and Mrs. Claus were able to seat.
Answer:
they are the same
Step-by-step explanation:
The number of guests seated were, in each case, ...
(guests per table) × (number of tables)
__
For Santa, this product is ...
X × Y
For Mrs. Claus, this product is ...
Y × X
The commutative property of multiplication tells you that ...
XY = YX
The numbers of guests were the same.
Single-case designs, by definition, do not incorporate control groups. What is the standard for comparison purposes to evaluate the treatment effects
In single-case designs, the standard for comparison purposes to evaluate the treatment effects is typically the individual's own performance during different phases of the study. Here's a step-by-step explanation:
1. Baseline Phase: The study begins by collecting data on the individual's behavior or performance without any intervention. This phase is called the baseline and serves as a reference point for comparison.
2. Intervention Phase: After establishing the baseline, the researcher introduces the treatment or intervention. The individual's performance during this phase is then compared to their performance during the baseline phase.
3. Reversal or Withdrawal Phase (optional): In some single-case designs, the intervention is withdrawn to see if the individual's performance returns to baseline levels. This phase helps to further establish the treatment's effectiveness.
4. Replication (optional): The study can be replicated with the same individual or with other individuals to demonstrate the treatment's effectiveness across different cases.
By comparing the individual's performance across these different phases, researchers can evaluate the treatment effects without the need for a control group.
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What is the value of x?
(x + 35)°
(3x + 1)º
X=9
X=17
X=18
X=36
Answer: x^2-4x+3=0 or sin(x)=1.
Step-by-step explanation:
In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are , , .
In the triangle ABC, the side lengths, in order from the greatest to the least, are : AC > AB > BC.
We are given a triangle. The vertices of the triangle are A, B, and C. The measures of the angles ∠A, ∠B, and ∠C are 36°, 84°, and 60°, respectively. We need to arrange the side lengths in order from the greatest to the least.
The side lengths are proportional to their opposing angles in a triangle. It means that the side opposite the largest angle is the largest side, and vice versa. The angles arranged in descending order are : 84° > 60° > 36°. The angles arranged in descending order according to the vertices are : B > C > A. The order of the lengths of the opposite sides must be the same.
Hence, the side lengths, in order from the greatest to the least, are : AC > AB > BC.
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simplify (8^4)-^16
A 8^-64
b 8^-20
c 8-^12
D 8-^4
plz help me i need this in simplest form or in a decimal
Answer:
1/1024 or .0009765625
Step-by-step explanation:
1/4 to the third power is 1/64
1/4 to the second power is 1/16
Then multiply 1/64 and 1/16 and get 1/1024 or .0009765625
Hope this helps dude
Answer:
9.765625x^-4
Step-by-step explanation:
1. Convert 1/4 into a decimal Ans:0.25
2. Times 0.25 by the third power (0.25^3) Ans: 1/64 or 0.015625
3. Convert 1/4 into a decimal Ans: 0.25
4. Times 0.25 by the second power (0.25^2) Ans: 1/16 or 0.0625
5. Finally multiply the two decimals (0.015625x0.0625) Ans: 1/1024 or 9.765625x10^-4
Find the segment length indicated. Assume that lines which appear tobe tangent are tangent.?1220
Answer:
16
Explanation:
The segment with a length equal to 12 is tangent to the circle, It means that it forms an angle of 90 degrees with the line of the missing length.
So, the formed triangle is a right triangle and we can apply the Pythagorean theorem to solve the question.
Then, since 20 is the hypotenuse of the triangle, we get that the missing side can be calculated as:
\(\text{? = }\sqrt[]{20^2-12^2}\)So, solving the expression, we get:
\(\begin{gathered} \text{? = }\sqrt[]{400-144} \\ \text{? = }\sqrt[]{256} \\ \text{? = 16} \end{gathered}\)Therefore, the segment length is 16.
-13 -9 -12 -16 20 10 put them in least to greatest
Answer:
-16, -13, -12, -9, 10, 20
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
-16, -13, -12, -9, 10, 20
Step-by-step explanation:
1. Which of the statements is NOT true about the illustration?
Angle DME is another name for angle 3.
MDis congruent to AE.
Angle 3 is congruent to angle 5.
MEis parallel to AD.
Answer: Option (1)
Step-by-step explanation:
\(\angle DMA\) is another name for angle 3, but not \(\angle DME\).
Given that 1/f = 1/u + 1/v , express u in terms of v and f
Answer:
u = fv/(v - f)
Step-by-step explanation:
1/f = 1/u + 1/v
1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv
1/u = (v-f)/fv
u = fv/(v - f)
tabitha is renting a ballroom for an upcoming dinner reception. the rental fee for the ballroom includes a base price plus the cost of dinner per person. the table below shows the cost of the ballroom rental in relation to the number of people attending the dinner reception. no. of attendees 20 40 60 total rental cost $455 $615 $775 what is the base price for the ballroom rental?
The base price for the ballroom rental is $295.
Tabitha is renting a ballroom for an upcoming dinner reception. The rental fee for the ballroom includes a base price plus the cost of dinner per person. The table below shows the cost of the ballroom rental in relation to the number of people attending the dinner reception.
Table showing the relation between cost and attendee.The table shows that if 20 people attend, the total rental cost will be $455, and if 60 people attend, the total rental cost will be $775. Therefore, the increase in cost from 20 attendees to 60 attendees is $320. Thus, the difference between the cost for 20 attendees and the base price is $455 - (20 * cost of dinner per person), and the difference between the cost for 60 attendees and the base price is $775 - (60 * cost of dinner per person).Let b be the base price and c be the cost of dinner per person.
Therefore,
455 - (20c) = band775 - (60c) = b Subtracting the first equation from the second equation gives:
775 - (60c) - [455 - (20c)] = b320 = 40c, Therefore, c = 8.Substituting c = 8 into either of the equations above, we can find b:455 - (20c) = 455 - (20 * 8) = 295.
Therefore, the base price for the ballroom rental is $295.
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Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months. What is his total cost for the computer? O $1,560 O $1,680 O $1.724 O $1.968
Answer:
$1,968
Step-by-step explanation:
If he paid $82 for 24 months when you mulitply 82 by 24 you get 1968. So the total computar was $1,968
HELP ASAP
write an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4
Answer:
We conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:
\(\:y=\frac{1}{2}x+\frac{13}{2}\)
Step-by-step explanation:
Given the line
y+2x=4
converting into the slope-intercept form y = mx+b where m is the slope
y = -2x+4
comparing with the slope-intercept form
Thus, the slope is: m = -2
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2
The slope of the new line perpendicular to the given line = – 1/m
= -1/-2 = 1/2
Using the point-slope form
\(y-y_1=m\left(x-x_1\right)\)
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 1/2 and the point (-3, 5)
\(y-y_1=m\left(x-x_1\right)\)
\(y-5=\frac{1}{2}\left(x-\left(-3\right)\right)\)
\(y-5=\frac{1}{2}\left(x+3\right)\)
Add 5 to both sides
\(y-5+5=\frac{1}{2}\left(x+3\right)+5\)
\(\:y=\frac{1}{2}x+\frac{13}{2}\)
Therefore, we conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:
\(\:y=\frac{1}{2}x+\frac{13}{2}\)
Evaluate the following expressions for x = -4
Answer:
-1/16
-1/4
1
-4
16
Step-by-step explanation:
Put x as -4 and solve.
-4^-2 = 1/-4^2 = -1/16
-4^-1 = 1/-4 = -1/4
-4^0 = 1
-4^1 = -4
-4^2 = 16
Let L: R² R² be a linear operator. If L((1,2)) = (-2,3), and L((1,-1)²) =(5,2),+ Find the value of L((7,8)¹) 799
L((7,8)) = (-9,23). To find the value of L((7,8)), we can use the linearity property of the linear operator L.
Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).
We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).
Using the linearity property, we can distribute the linear operator L over the linear combination:
L((7,8)) = L(7(1,2) + 1(1,-1))
= 7L((1,2)) + L((1,-1))
= 7(-2,3) + (5,2)
= (-14,21) + (5,2)
= (-9,23)
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Which of the following is not a polynomial? 7−z 2p3q2− pq3 −5x+ 6y −3/x
The algebraic expression -5x+6y-3/x is not a polynomial.
The given polynomials are 7-z, 2p³q²-pq³ and -5x+6y-3/x.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
Here,
In 7-z has non-negative integer as exponent
So, it is a polynomial
In 2p³q²-pq³ has non-negative integer as exponent
So, it is a polynomial
In -5x+6y-3/x has negative integer as exponent, which is \(x^{-1}\)
So, it is not a polynomial
Hence, the algebraic expression -5x+6y-3/x is not a polynomial.
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Given an array of integers, every element appears twice except for one. What is that single one? Your algorithm should have a linear runtime complexity and should not be using extra memory.
To find the single integer in an array where every other element appears twice, we can utilize the XOR (exclusive OR) operation. XORing two equal numbers results in 0, while XORing a number with 0 gives the number itself.
Here's an algorithm that meets the requirements of linear runtime complexity and without using extra memory:
1. Initialize a variable `result` to 0.
2. Iterate through each element `num` in the array.
3. Update `result` by performing the XOR operation between `result` and `num`.
4. After iterating through all elements, `result` will hold the single integer that appears only once in the array.
Here's the algorithm implemented in Python:
```python
def findSingleNumber(nums):
result = 0
for num in nums:
result ^= num
return result
```
This algorithm works because XORing all the numbers in the array will cancel out the pairs, leaving only the single number. The time complexity of this algorithm is linear, O(n), where n is the size of the input array.
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What is 92 in kg to lbs?
Answer:
92kg is about 202.8 lbs
Step-by-step explanation:
The value of 92 in kg to lbs is 202.8 lbs
What is Kilo gram ?
Kilo gram can be defined as follows , one kilo gram is equals to thousand grams or one gram is equal to reciprocal of thousand.
Given ,
to find 92 in kg to lbs
So, we know that,
1 kg = 2.204
So, here for 92 kg
we need to multiply with 2.204
we get,
92 kg = 92 * 2.204
= 202.8
So, 92 kg = 202.8 lbs.
Therefore, the value of 92 in kg to lbs is 202.8 lbs
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use the diagram below to solve for x
Answer:
see the attachment!
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how to find point of inflection
To find a point of inflection, take the second derivative of the function, set it equal to zero and solve for x, and verify the point by checking the sign of the second derivative on either side of the point.
Follow these steps to locate a point of inflection:
Take the function's second derivative. The derivative of the first derivative is the second derivative. This will give you the concavity of the function.Put the second derivative to zero and find x. This will show you where the concavity changes.At this stage, check to see if the sign of the second derivative changes. The point is a point of inflection if the second derivative is positive to the left of the point and negative to the right of the point. The point is not an inflection point if the sign of the second derivative does not change.Check the concavity of the curve on each side of the point to verify it.It is a point of inflection if the curve shifts from concave up to concave down at the point. It is also a point of inflection if it transitions from concave down to concave up.
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