Answer:
you have it right.
Domain is 3\(\leq\)x\(\leq\)positive infinity
Range is 5\(\leq\)y\(\leq\)positive infinity
Step-by-step explanation:
Which value is not part of the five-number summary for the following data set?
35, 23, 24, 30, 28, 23, 27, 33, 27, 34, 30, 30
A. 29
B. 23
C. 31.5
D. 24
Answer:
D. 24
Step-by-step explanation:
The 5-number summary of a data set includes ...
minimum1st quartilemedian (2nd quartile)3rd quartilemaximumSummary valuesWhen the data are written in increasing order, they are ...
23 23 24 27 27 28 30 30 30 33 34 35
The minimum is the first value on the list, 23.
The first quartile is the average of the two middle values in the lower half of the data set: (24+27)/2 = 25.5.
The median is the average of the two middle values: (28+30)/2 = 29.
The third quartile is the average of the two middle values in the upper half of the data set: (30+33)/2 = 31.5.
The maximum is the last value on the list: 35.
Answer choicesA. 29 is the median
B. 23 is the minimum
C. 31.5 is the 3rd quartile
D. 24 is not part of the 5-number summary
What is three fourths divided into twelve eights
Answer:
128/34
= 3.76470588235
The price of a used car is discounted $200 each week.
If the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature
A linear graph can be either increasing, decreasing or constant.
Here the price of the car is being discounted $200 every week, so as the number of weeks increase, the price of the car decreases
So, the graph for this situation will be linearly decreasing.
The slope of this kind of graph is negative/
Therefore, If the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature
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The difference between the park and house of a student is 1Km 575m. Every day he walks both ways between the park and his house. Find the total distance covered by him in a week's time?
The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.
To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.
Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.
In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.
Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.
Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.
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what is 4% of 50% of 5
Answer:
4% of 50% of 5 is 0.1
Use a calculator.
(Answer was deleted for "incorrect" as it was correct as that's what I got as an answer.)
Cooper obtains an experimental functions of the stream function and the velocity potential for a particular flow type which are given by ψ=2xy and φ=x
2
−y
2
. Show that the conditions for continuity and irrotational flow are satisfied.
The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.
To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:
∂ψ/∂x = 2y
∂ψ/∂y = 2x
∂φ/∂x = 2x
∂φ/∂y = -2y
From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.
To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:
V = ∇φ x ∇ψ
Taking the curl of V:
∇ x V = ∇ x (∇φ x ∇ψ)
Using vector calculus identities and simplifying the expression, we find:
∇ x V = 0
Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.
Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.
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Where r is the radius of the cone's base and h is the height of the cone. Find the approximate volume of a cone when r is 8 cm and h is 8 cm.
Volume of a Cone = pir2h/3
Step-by-step explanation:
Given,
the radius(r)of the cone's base = 8 cm
the height(h)of the cone = 8 cm
then the volume of cone
= 1/3 πr²h
= (1/3×22/7×8²×8 (substituting the value of r and h )
=(1/3×22/7×64×8)cm³
=(12544/21)cm³
=597.333cm³(ans)
If you face any doubt related to the solution please ask me
The volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
What is the volume of a cone?The volume of a cone is the amount of space possessed by a cone in a three-dimensional plane. A cone contains a circular base, which suggests the base is made of a radius and diameter.
The volume can be defined as a three-dimensional space enclosed by an object or thing.
The formula for the volume of the cone,
\(\rm V=\dfrac{1}{3} \pi r^2h\)
r = radius of the circular base
h= perpendicular height of the cone
Here, r = 8 cm
h = 8 cm
So the volume of the given cone will be,
\(\rm V=\dfrac{1}{3} \pi r^2h\\\\\\=\dfrac{1}{3}\times\dfrac{22}{7}\times8^2\times8\\\\\\\)
V = 536.38 cubic m
Volume =536.38 cubic cm
Thus, the volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
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Write a logical statement defining the relation (⊂) in terms of (∈). 14. Let A and B be sets. Prove that (A−B)∩(B−A)=∅.
The logical statement that defines the relation (⊂) in terms of (∈) is:
A ⊂ B if every element of A is an element of B.
To prove that (A-B) ∩ (B-A) = ∅,
follow the steps below:
Step 1: To begin, assume that x ∈ (A-B) ∩ (B-A)
Step 2: This means that x is an element of both A-B and B-A.
Step 3: Since x ∈ A-B, x ∈ A, but x ∉ B.
Step 4: Since x ∈ B-A, x ∈ B, but x ∉ A.
Step 5: Since x ∈ A and x ∉ B, it is impossible for x to be in both A and B.
Step 6: Therefore, x cannot be in (A-B) ∩ (B-A).
Step 7: This means that (A-B) ∩ (B-A) is an empty set, or ∅.
Step 8: Thus, (A-B) ∩ (B-A) = ∅.
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for the independent-measures t statistic, what is the effect of increasing the difference between sample means?
The increasing the difference between sample means will result in a larger t statistic. This means that the difference between the two sample means is more likely to be statistically significant and less likely to be due to chance.
the t statistic is calculated by taking the difference between the sample means and dividing it by the standard error of the difference. When the difference between sample means increases, the numerator of the t statistic increases, while the denominator (the standard error) remains relatively constant. This leads to a larger t statistic and a smaller p-value, indicating stronger evidence against the null hypothesis.
increasing the difference between sample means has a significant effect on the independent-measures t statistic. It increases the strength of the evidence against the null hypothesis, making it more likely that the difference between the two groups is real and not due to chance.
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Pls help.. I need help ASAP...
The number of text messages teenagers in the United States send each month is,
⇒ =3.24 × 10¹⁰
Given that:
Total teenagers = 27 million
Number of text messages per month = 1200
Total messages sent by teenagers per month = 27 million × 1200
= 32,400,000,000
Decimal point should be after the first significant value from the left.
Count the number of digits remaining after the decimal point
= 3.24 × 10¹⁰
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When constructing a perpendicular bisector why must the compass opening be greater than 1/2.
It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.
What is perpendicular bisector?A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.
Now, consider an example;
When you wish to build a perpendicular line on a line segment, like line AB, you do the following;
Set the compass on a radius more than half the length of the line AB.Using A as your center, draw an arc above and below line AB.With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.Join the two arc intersections to cut line AB at M.A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.
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In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student who does not have a brother
has a sister?
Has a sister
Does not have a sister
Has a brother Does not have a brother
5
2
18
4
A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.
Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now
has a sibling: 5
possesses no sisters: 2
has an 18-year-old brother
possesses no brothers: 4
We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.
No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.
As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:
Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.
Probability equals 2/4
Probability equals 0.5 or half.
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a common everyday counting unit that is used to mean 12 of an object is a____
A common everyday counting unit that is used to mean 12 of an object is a Dozen
Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.
Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."
Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.
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what is the measure of an angle if the measure of its two adjacent supplementry angles add up to 100 degrees.
The measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.
Let the measure of the angle be x.
We are given that the measure of its other two supplementary angles is 100°
We know that:
The sum of the supplementary angles is equal to 180°.
So, we get that:
100° + x = 180°
Subtract 100° from both the sides:
x = 180° - 100°
Simplify the expression:
x = 80°
Therefore, we get that, the measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.
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in a library,30% books are fiction.what percentage are non fiction.if their are 50000 books in the library how many are fiction
Answer:
70% non-fiction15,000 fictionStep-by-step explanation:
Given 30% of the 50,000 books in the library are fiction, you want to know the percentage that are non-fiction, and the number of fiction books.
TotalThe total of all books in the library is 100%, so if 30% are fiction, the remaining number are not:
100% -30% = 70% . . . . are non-fiction
NumberThe number of fiction books is found by multiplying the total number by the fraction that are fiction:
fiction books = 50,000 × 0.30 = 15,000
There are 15,000 fiction books in the library.
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Where is the point X located on the number line shown below?
Answer:
-4.5
Step-by-step explanation:
-6, -5.5, -5, -4.5 (x), -4
china and germany specialize in the production of silk and automobiles respectively. they are considered the best at their specializations. assume that china trades silk with germany in exchange for automobiles. which perspective is illustrated by this form of trade?
This form of number of trade illustrates an example of comparative advantage, where each country specializes in the production of goods that they are more efficient at producing and then trading those goods with each other.
Comparative advantage is a concept in economics that states that countries that specialize in goods they are more efficient at producing will be able to produce those goods at a lower cost than countries that do not specialize in that good. In this form of trade, China specializes in the production of silk, while Germany specializes in the production of automobiles. By trading these goods with each other, both countries are able to benefit from the number of specialization of each other, as they can produce silk or automobiles more efficiently and at a lower cost than the other country.
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Can someone help me solve this equation? x2 + x - 30 = 0
Answer:
x = 10
Step-by-step explanation:
x x 2 + x - 30 = 0 use the commutative property to reorder the terms
2x + x - 30 = 0 collect like terms
3x - 30 = 0 move constant to the right hand side and change its sign
3x = 30 divide both sides of the equation by 3
x = 10
what dictionary value would we use to perform a grid search to determine if normalization should be used and for testing the following values of alpha? 1,10, 100
A dictionary with keys 'normalize' and 'alpha' and values [True, False] and [1, 10, 100] respectively can be used to perform a grid search.
Grid search is a technique used to find the optimal hyperparameters for a machine learning model. In the case of determining if normalization should be used and testing different values of alpha, we need to provide the algorithm with a range of values for each hyperparameter. This can be done using a dictionary.
The keys in the dictionary would be 'normalize' and 'alpha', representing the hyperparameters we want to search for. The values for 'normalize' would be [True, False], representing the options for normalizing the data or not. The values for 'alpha' would be [1, 10, 100], representing the different values of alpha to test.
This dictionary can then be passed as an argument to the grid search algorithm, which will then perform a search through all possible combinations of these hyperparameters, evaluating the performance of the model for each combination and determining the optimal set of hyperparameters.
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The two-column proof process uses the following type of logical reasoning Group of answer choices Abductive reasoning Inductive reasoning Deductive reasoning Memorized reasoning 2.Why do you think the proof process uses this type of reasoning?
Answer:
Deductive Reasoning
Step-by-step explanation:
I need a expert I need the area of the square the smaller triangle and the bigger triangle
Answer:
small triangle area = 1/2(8)(14) = 56 m²
bigger triangle area = 1/2(16)(14) = 112 m²
biggest triangle area = 1/2(24)(14) = 168 m²
there's 2 bigger triangles so you pick the bigger one you want
Answer:
smaller triangle area = 56m²
larger triangle area = 112m²
total area = 168m²
Step-by-step explanation:
Area of triangle = \(\frac{bh}{2}\)
where b = base length and h = height
smaller triangle dimensions
base length= 8m
height = 14m
* plug in the values into the formula *
\(area=\frac{8*14}{2} \\8*14 =112\\\frac{112}{2}=56\\A=56m^2\)
so we can conclude that the area of the smaller triangle is 56 square meters
larger triangle dimensions
base length = 16m
height = 14m
* plug in the values into the formula *
\(area=\frac{16*14}{2} \\16*14=224\\\frac{224}{2} =112\\A=112m^2\)
so we can conclude that the area of the larger triangle is 112 square meters
total area = the sum of the two triangle's area
total area = 112 + 56
112 + 56 = 168
hence the total area is 168 square meters
If m \angle 1 = (7n − 2)° and m \angle 4 = (4n + 6)°, find the values of n, m \angle 1, and m \angle 4.
Answer:
Hi , I can't understand the question...I think you have forgotten to give some value for variables... because it's not possible to get the answer without the value of variables
Average Cost Graph The total daily cost in dollars) of producing a mountain bikes is given by C(x) = 936 +80+ 0.12 The average cost function C(x) decreases until e = cand increases afterwards. If the goal of the company is to make the mountain bike as affordable as possible, they should target the production level of c mountain bikes daily Find c Round to 2 decimal places. mountain bikes daily
The given function is C(x) = 936 + 80x + 0.12x^2, where x represents the number of mountain bikes produced daily. The average cost function is also given by C(x).
To make the mountain bike as affordable as possible, the company should target a production level of 333.33 mountain bikes daily, where the average cost function is at its minimum. Rounded to 2 decimal places, the answer is
c = 333.33.
First, let's correct the given cost function: C(x) = 936x + 80x^2 + 0.12x^3. Now, we'll use the terms "function," "average," and "increases."
To find the average cost function, we need to divide the total cost function, C(x), by the number of mountain bikes produced daily, x. Let A(x) represent the average cost function:
A(x) = C(x) / x
Now, let's substitute C(x) into this equation:
A(x) = (936x + 80x^2 + 0.12x^3) / x
Simplify by canceling out an x term:
A(x) = 936 + 80x + 0.12x^2
To find the production level c where the average cost function decreases and then increases, we need to find the minimum point on the A(x) curve. To do this, we'll differentiate A(x) with respect to x to obtain the first derivative:
A'(x) = 80 + 0.24x
Now, set the first derivative equal to zero and solve for x:
80 + 0.24x = 0
0.24x = -80
x = c = -80 / 0.24
Round to 2 decimal places:
c ≈ 333.33
So, to make the mountain bike as affordable as possible, the company should target a production level of approximately 333.33 mountain bikes daily.
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Which graph is correct?
The system of inequalities is correctly graphed on Shannon's graph.
Which graph shows the system of inequalities?Here we have the following system of inequalities:
y ≥ (1/2)*x - 1
x - y > 1
We can rewrite the second inequality as:
y < x - 1
Then the system becoimes:
y ≥ (1/2)*x - 1
y < x - 1
The first line will be one with positive slope, it is solid (due to the symbol ≥) and the shaded area is above the line.
For the second we will have a dashed line, and now the shaded area is below the dashed line.
From that, we caonclude that Shannon's graph is the correct one.
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Q3. If a=b c, b= c a and c = a b then prove that abc=1.
Q4. If a= 5x, b= 5y and ay bx = 25, then prove that xy = 1
Step-by-step explanation:
Question 3 :
We have ,
a = bc . . . . . (i) b = ac . . . . . (ii)c = ab . . . . . (iii)Multiplying all three equations ,
=> a × b × c = bc * ac * ab
=> abc = a²b²c²
=> abc/a²b²c² = 1
=> 1/abc = 1
=> abc = 1
Hence Proved !\(\rule{200}2\)
the within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Group of answer choices
Scores in each of the actual groups studied
Mean of the groups minus the mean of the scores of the actual groups
Equal to the between-groups estimate of population variance
Means of the groups studied
The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.
The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.
The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.
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Write the numbers from greatest to least -2.1, -1 5/6, -1 2/3, -2.2
In form of a/b
The numbers from greatest to least is - 1 2/3, -1 5/6, -2.1 and -2.2.
How to calculate the values?Based on the information, we want to arrange the numbers from the greatest to the least.
In this case, it will be illustrated thus:
-2.1
-1 5/6 = -1.83
-1 2/3 = -1.67
-2.2
This will be arranged as - 1 2/3, -1 5/6, -2.1 and -2.2. In this case, it can be deduced that - 1 2/3 is the greatest and the least number is -2.2. This shows the concept of descending numbers.
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NEED HELP ASAP!!!!!!!!
conplete the table y=4x^2-8x+4
HELP IT WOULD MEAN A LOT IT'S DUE TODAY IN 7 MINUTES
Answer:
39
Step-by-step explanation:
39 + 32 = 71
hope this helps have a good day!!
PLEASE MARK BRAINLIEST!! :)
RATING BRAINLIEST Which of the following demonstrates the Distributive Property?
4(2a + 3) = 8a + 3
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12
Answer:
D: 4(2a+3)=8a+3
Step-by-step explanation:
4x2a = 8a and 4x3 = 12
Answer:
just saying this so other can get brainliest
Step-by-step explanation:
d