Step-by-step explanation:
-2x - 7 > 1
-2x > 8
-x > 4
x < -4
that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).
x - 2 >= -1
x >= 1
that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.
Which one of the following displays for Quantitative Data does not show the Modality of the Distribution of the Data? a- Box Plot b- Stem-and-Leaf c- Dot Plot d- Histogram e- None of the above
Box Plot displays for Quantitative Data does not show the Modality of the Distribution of the Data.
Distribution of the Data:
Data distributions are often used in statistics. They are graphical ways to organize and display useful information. There are several types of data distributions. In this lesson, we will focus on dot-plots, histograms, boxplots, and score-plots. Data distribution is a way to describe a set of data by plotting individual data points on a graph. This graphical representation can help us understand the data and make predictions about it. There are different types of data distributions, each with their own characteristics and uses.
Quantitative Data:
Quantitative data is data values in the form of counts or numbers, where each set of data has a unique value. This data is all the quantifiable information that researchers can use to perform mathematical calculations and statistical analyzes to make real decisions based on these mathematical inferences.
Box Plot:
In descriptive statistics, a boxplot, or boxplot, is a method of graphically displaying the location, distribution, and skewness of groups of numerical data in terms of quartiles. In addition to the box lines on a boxplot, there may be lines (called whiskers) extending from the box lines that represent variability beyond the upper and lower quartiles, so the plot is also known as of boxplots and box-and-whisker plots. Outliers that are significantly different from the rest of the data set can be plotted as individual points beyond the whiskers on the boxplot. Boxplots are not parametric: they show the variation in a sample of a statistical population without making assumptions about the underlying statistical distribution (although Tukey's boxplots assume that whiskers are symmetrical and of normal length).
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The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches. find the shortest side
Answer:
BRAINLIEST PLZZZZZ
Step-by-step explanation:
The shortest side of the triangle is 3 inches.
Given:
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.
The perimeter = 13.5 inches.
Now, to find the shortest side.
Let the one side be = 1/6x
And the second side be = 1/3x
And the third side be = 1/4x
According to question:
1/6x + 1/3x + 1/4x = 13.5
x/6 = x/3 = x/4 = 13.5
Adding all the variables by taking common denominator we get:
⇒ 9x/12 = 13.5
Multiplying both sides by 12 we get:
⇒ 9x = 162
Dividing both sides by 9 we get:
⇒ x = 18
Thus, the sides of the triangle are:
1/6×18=3 inches.
1/3×18=6 inches.
1/4×18=9/2=4.5 inches.
Therefore, the shortest side of the triangle is 3 inches.
Joe drives 325 miles to Chicago for a business meeting. If Joe drives at a constant rate of 65 mph, how long will it take to get him to Chicago?
A) 4 hrs.
B)4. 5 hrs.
C)5 hrs.
D)5. 5 hrs.
It will take Joe 5 hours to reach Chicago.
To calculate the time it will take for Joe to reach Chicago, we can use the formula:
Time = Distance / Rate
Given that Joe drives 325 miles at a constant rate of 65 mph, we can plug these values into the formula:
Time = 325 miles / 65 mph = 5 hours
The correct answer is:
C) 5 hrs.
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Pls help me I will merl you as brain
Answer:
it's the third one 99% Shure if not can you please tell me
Triangle xyz has coordinates x(2, 4), y(−3, 4), and z(−3, 1). if the triangle is translated using the rule (x, y) → (x − 2, y 1), what are the coordinates of y'? y'(–5, 5) y'(0, 5) y'(–5, 2) y'(–1, 3)
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
The given coordinates for point y are y(−3, 4). This means that the x coordinate of point y is -3, and the y coordinate of point y is 4. Applying the translation rule (x, y) → (x − 2, y + 1), the x coordinate of point y' is obtained by subtracting 2 from the x coordinate of point y, which is -3. The y coordinate of point y' is obtained by adding 1 to the y coordinate of point y, which is 4. Therefore, the new coordinates for point y' are y'(–5, 5).
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
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Answer:
A 5,-5
Step-by-step explanation:
calculate the partial derivative ∂∂ using implicit differentiation of 6 7 2 2=0.
The partial derivative of 6x^7y^2 = 0 with respect to x is ∂y/∂x = -7/2x.
Assuming you meant to write 6x^7y^2 = 0, we can use implicit differentiation to find ∂y/∂x:
Taking the partial derivative of both sides with respect to x, we get:
(42x^6y^2)dx + (12x^7y)dy = 0
Now we can solve for ∂y/∂x:
(12x^7y)dy = -(42x^6y^2)dx
dy/dx = -(42x^6y^2) / (12x^7y)
dy/dx = -7/2x
So the partial derivative of 6x^7y^2 = 0 with respect to x is ∂y/∂x = -7/2x.
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4 (t – 1) for t = 7
PLZ HELP ASAP
4(t-1)
4(7-1)
4(6)
=24
The answer is 24.
Answer:
24
Step-by-step explanation:
Plug in the value of t: 4(7 - 1)We can solve this two ways: one way is doing the distributed property, the other is PEMDAS. For now, let's use the distributed property (the other person who answered used PEMDAS)4 × 7 = 284 × 1 = 4Put them together: 28 - 428 - 4 = 24I hope this helps!
PLEASE HELP................
Answer:
3.2×10^-7 hope this will be of help
Subtract. (7b 1) - (3b - 1) what is the answer? question 1 options: a. 4b 2
b. 10b c. 4b d. 10b 2
Answer: 4b+2
Step-by-step
(7b+1)-(3b-1)
7b+1-3b+1
4b+2
When (7b -1) - (3b - 1) is substrate then final value will be 4b.
Answer is 4b and correct option is a.
Subtraction would be the operation as well as process of determining the difference among two numbers or quantities. Subtracting one amount from another is however known as 'taking one number aside from another'.
Here given that,
(7b-1)-(3b-1)
we need to subtraction , so first we need to open brackets,
7b-1-3b+1= 4b
7b-3b will be equal to 4b.
so got the answer 4b and option a is correct according to this answer.
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What is a counter example to the conditional statement? If an odd number is greater than 1 and less than 10, then it has no other factors than 1 and its self
The factors of 9 are 1 and 9.. To determine this, one can use the formula to find the factors of a number, which is n = a × b.
A counter example to the conditional statement "If an odd number is greater than 1 and less than 10, then it has no other factors than 1 and its self" would be the number 9. 9 is an odd number that is greater than 1 and less than 10, but it has other factors than 1 and itself. The factors of 9 are 1, 3, and 9. To determine this, one can use the formula to find the factors of a number, which is n = a × b, where n is the number, a is the first factor, and b is the second factor. In this case, n = 9, a = 1, and b = 9. Therefore, the factors of 9 are 1 and 9.
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If you borrow $491 for one year at an interest rate of 3% what will be the total you pay back?
163.6$
divide...................................................................................................................
The heat flow vector field for conducting objects is F=−k∇T, where T(x,y,z) is the temperature in the object and k is a constan T(x,y,z)=−7ln(x^2 +y ^2+z ^2 );S is the sphere x ^2 +y ^2 +z ^2 =a ^2
. The outward flux is (Type an exact answer, using π as needed.)
The exact value of the outward flux of the heat flow vector field F = -k∇T across the sphere S defined by x^2 + y^2 + z^2 = a^2 cannot be determined without specific values for the constant k and the radius a. The calculation involves evaluating a triple integral using the divergence theorem and switching to spherical coordinates.
To calculate the outward flux of the heat flow vector field F = -k∇T across the sphere S defined by x^2 + y^2 + z^2 = a^2, we need to evaluate the surface integral of F dot dS over the sphere S.
The outward flux can be calculated using the divergence theorem, which states that the flux across a closed surface is equal to the triple integral of the divergence of the vector field over the region enclosed by the surface.
In this case, the divergence of F is given by:
div(F) = ∇ · F = ∇ · (-k∇T) = -k∇^2T
Since T(x, y, z) = -7ln(x^2 + y^2 + z^2), we can find ∇^2T by taking the Laplacian of T:
∇^2T = (∂^2T/∂x^2) + (∂^2T/∂y^2) + (∂^2T/∂z^2)
Now, let's calculate each of these partial derivatives:
∂^2T/∂x^2 = ∂/∂x (-7(2x)/(x^2 + y^2 + z^2)) = -14x/(x^2 + y^2 + z^2)
∂^2T/∂y^2 = ∂/∂y (-7(2y)/(x^2 + y^2 + z^2)) = -14y/(x^2 + y^2 + z^2)
∂^2T/∂z^2 = ∂/∂z (-7(2z)/(x^2 + y^2 + z^2)) = -14z/(x^2 + y^2 + z^2)
Summing these partial derivatives, we get:
∇^2T = -14(x + y + z)/(x^2 + y^2 + z^2)
Now, applying the divergence theorem, the outward flux of F across the sphere S is:
∬S F · dS = ∭V ∇ · F dV = ∭V (-k∇^2T) dV
Since the sphere S is defined by x^2 + y^2 + z^2 = a^2, the volume integral becomes:
∬S F · dS = ∭V (-k∇^2T) dV = ∭V (-k(-14(x + y + z)/(x^2 + y^2 + z^2))) dV
To simplify the integral, we can switch to spherical coordinates. In spherical coordinates, x = r sin(θ) cos(ϕ), y = r sin(θ) sin(ϕ), and z = r cos(θ), where r is the radial distance, θ is the polar angle, and ϕ is the azimuthal angle.
The limits of integration for the volume integral would be:
r: 0 to a
θ: 0 to π
ϕ: 0 to 2π
Substituting the spherical coordinate expressions into the integrand and evaluating the integral over the specified limits will give the exact value of the outward flux.
However, since the expression involves complex calculations, it is not possible to provide a simplified exact answer without specific values for the constant k and the radius a.
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Given f(x)=5-3x, if f(x)=-19, find x
X would equal 8
Step-by-step explanation:
5-3(8) = -19
5 multiplied by negative 3 times 8 equals negative 19
negative 3 times 8 equals negative 24 plus 5 equals 19
A college student earns $15,000 working part time at a bookstore. The student pays 110 of the earnings in taxes, spends 25 of the earnings on living expenses, and saves the remainder of the earnings. How much money does the student save?.
The total money that student saves after paying tax and other expenses is $9600
It is given that
Total earning = $15000
Tax = 1%
Spendings on living expenses = 25%
What is the percentage?The percentage is the value per hundred.
Total saving = Total earning- Tax-spendings on living expenses
Total saving = 15000-(11% of 15000 -(25%of 15000)
Total saving = 15000-11*15000/100 - 15000*25/100
Total saviing = 15000-1650-3750
Total saving = $9600
Therefore, The total money that student saves after paying tax and other expenses is $9600.
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How do I do this (With instructions if you could) (Will give brainliest)
What number is represented in the expanded notation below?
90,000,000 + 500,000 + 2,000 + 80+4 + 0.1 +0.09
Answer:
90,502,084.19 that's the answer
Step-by-step explanation:
2 less than the difference of u and 3
Answer:
u - 3 - 2
Step-by-step explanation:
Start with the difference of u and 3 part. This would be u - 3.
Then, write the two less than that. This would be:
u - 3 - 2 or (u - 3) - 2
how many significant figures does the result of the following sum contain? 8.5201 1.93 a. 1 b. 2 c. 3 d. 4
The number of significant figures is:
c. 3
What is significant figure?The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits.
To determine the number of significant figures in the result of a sum, we need to consider the least number of significant figures present in the numbers being added.
In the given sum, we have 8.5201 and 1.93.
The number 8.5201 has five significant figures, and the number 1.93 has three significant figures.
When we add these two numbers, the result is 10.4501.
Since 1.93 has three significant figures, the result of the sum should also have three significant figures.
Therefore, the number of significant figures is:
c. 3
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I got the first part but i dont onow how to get the other ones
The value of x for this problem is given as follows:
x = 5.
Hence the angle measures are given as follows:
m < CAB = 32º.m < FDE = 32º.How to obtain the value of x?
We have that angles A and D are congruent for this problem, meaning that they have the same measure.
Hence the value of x is obtained as follows:
7x - 3 = 5x + 7
2x = 10
x = 5.
Hence the angle measures are given as follows:
m < CAB = 7(5) - 3 = 35 - 3 = 32º.m < FDE = 5(5) + 7 = 32º.More can be learned about angle measures at https://brainly.com/question/25716982
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Hi, I'm very fonfused on what to do here.
Answer:
C) 212.53
Step-by-step explanation:
3x60=180 (3 minutes is 180 seconds)
180+32.53=212.53 seconds
What is the approximate value of the irrational number included in the set below?
9
,
36
,
50
,
121
9
,
36
,
50
,
121
3.7
7.1
12.5
16.7
The approximate value of the irrational number in the set is 7.1 (rounded to one decimal place).
To find the irrational number in the set, we need to check which of these numbers are perfect squares. The perfect squares in the set are 9 and 36. The other two numbers, 50 and 121, are not perfect squares.
Since the set includes two perfect squares, the irrational number must be the positive square root of one of the non-perfect square numbers. We can eliminate 121 since it is a perfect square, so the only option left is 50.
The positive square root of 50 is an irrational number, which is approximately 7.071. Therefore, the approximate value of the irrational number in the set is 7.1 (rounded to one decimal place).
So the answer is: 7.1.
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Which table does not show y as a function of x please show explation
Given O is the incenter of an iscosceles triangle, and angle C is 100 find the measure of < ABO
100
O A. 40
OB. 20
C. 80
D. not enough information
The measure of angle ABO is 60 degrees. As O is the incenter of an isosceles triangle, the angle bisectors from O to AB and to the equal sides of the triangle are congruent.
Let the isosceles triangle be ABC with AB = AC and angle C = 100 degrees. Then, angle A is also 40 degrees. Since angle ABO is the exterior angle to triangle BOO100, it is equal to the sum of angles BOO100 and O100B.
Since triangle BOO100 is isosceles with BO = OO100, angle BOO100 = angle BOO = 40/2 = 20 degrees.
Similarly, triangle BO100 is isosceles with BO = O100, so angle BO100 = angle BCO = (180 - 100)/2 = 40 degrees. Thus, angle ABO is 20 + 40 = 60 degrees.
Therefore, the answer is (A) 40.
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write the equation of the line with a slope of -2/3 and a y intercept of (0, 6) in standard form *
Answer:
y=-2/3x+6
Step-by-step explanation:
Miriam packed 4 T-shirts, 3 pairs of shorts and two pairs of shoes for her vacation. How many different T-shirt, short and shoe outfit combinations can she wea
Answer:
24
Step-by-step explanation:
Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.
Which product is the factored form of the polynomial?
(–x2 – 5)(3x2 + 2)
(x2 – 2)(3x2 + 5)
(x2 + 5)(3x2 – 2)
(3x2 – 5)(x2 + 2)
Answer:
(X2+5)(3x2-2)
Step-by-step explanation:
=(3x4-2x2)+(15x2-10)
X2(3x2-2)+5(3x2-2)
(X2+5)(3x2-2)
a ship is 45 miles east and 30 miles south of port. the captain wants to sail directly to port. what bearing should be taken?
Bearing should be N 56.31° W.
Define tangent.The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together. A tangent is a line that, although not crossing it, touches the edge of a curve or circle at one point. The instantaneous rate of change of the specified function at a point is represented by the tangent. The derivative of the function at a given position is equal to the slope of the tangent at that location. A function with the equation y = f x has a tangent slope of d y d x.
Given,
tan ∅ = opposite/adjacent
tan∅ = 45/30
tan ∅ = 1.5
∅ = arctan 1.5
N 56.31° W
Bearing should be N 56.31° W.
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I just need help with number 9 in this picture if anyone could pls help!
if I have a 40 in a class and get 100% on something thats 40% of my grade. whatsmy new grade PLEASE ANSWER like please please please please answer
Answer: depends on how your class is weighted, and specifically how many points the thing is, and your point score.
Step-by-step explanation:
i guess 60%? it's too vague
Let S be the triangle with vertices A = (2, 2, 2) , B = (4, 2, 1), and C = (2, 3, 1). Find the exact length of the shortest side of S. units (b) Find the exact value of the cosine of the angle BAC: COs(BAC)
The exact value of the cosine of the angle BAC is 1 / √10.
The length of the sides of a triangle can be found using the distance formula:
d = √[(x2 - x1)² + (y2 - y1)² + (z2 - z1)²]
To find the length of the side AB, we plug in the coordinates of A and B into the distance formula:
AB = √[(4 - 2)² + (2 - 2)² + (1 - 2)²] = √[4 + 0 + 1] = √5
Similarly, we can find the length of the other two sides:
BC = √[(2 - 4)² + (3 - 2)² + (1 - 1)²] = √[4 + 1 + 0] = √5
CA = √[(2 - 2)² + (3 - 2)² + (1 - 2)²] = √[0 + 1 + 1] = √2
The shortest side of the triangle S is CA, with a length of √2 units.
To find the cosine of the angle BAC, we can use the law of cosines:
cos(BAC) = (AB² + CA² - BC²) / (2 * AB * CA)
Plugging in the values we found for the lengths of the sides:
cos(BAC) = (√5² + √2² - √5²) / (2 * √5 * √2) = (5 + 2 - 5) / (2 * √10) = 2 / (2 * √10) = 1 / √10
Therefore, it can be stated that the precise value of the cosine of angle BAC is 1 /√10.
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