Answer:
The measure of dispersion that is influenced most by extreme values is range.
Step-by-step explanation:
Range is the most simple and commonly understandable measures of dispersion. Range is defined as the difference between the highest and lowest observed value in a series.
20 points help babes!!!!!
Answer:
Brainliest if correct!
Step-by-step explanation:
6561
9^4
the first one!!!
can 1 1/8 be simplified
Answer:
No it cannot. There isn't a common value shared between the two numbers to simplify.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Thanks Plz Mark Brainliest!
A screwdriver is a simple machine called a?
Answer:
Wheel & axle
Step-by-step explanation:
Answer: it is called a
wheel and axle
Step-by-step explanation:
sheeeeeeeeeeeeeeeeeeeeeeeeeeeesh
Find the area of the region included between the parabolas y? = 4( 3+1)(x + 3 + 1), and y2 = 4(72 +1)32 +1 – x) 1+ 1 3
Answer: look at explanation
Step-by-step explanation:
To find the area between the two parabolas, we need to first find their intersection points. Let's start with the first parabola:
y² = 4(3+1)(x + 3 + 1) = 16(x + 4)
y = ± 4√(x + 4)
Now, let's work on the second parabola:
y² = 4(72 +1)32 +1 – x) 1+ 1/3
y² = 4(73)^(1/3) - 4x^(1/3) + 1
y = ± √(4(73)^(1/3) - 4x^(1/3) + 1)
We can set the two equations equal to each other to find the intersection points:
4√(x + 4) = ± √(4(73)^(1/3) - 4x^(1/3) + 1)
Squaring both sides and simplifying, we get:
16(x + 4) = 4(73)^(1/3) - 4x^(1/3) + 1
20x^(1/3) + 16x - 292 = 0
Let u = x^(1/3), then we have:
20u³ + 16u³ - 292 = 0
u³ = 73/5
u = (73/5)^(1/3)
x = u³ = 73/5
Now we can integrate to find the area between the parabolas:
A = ∫(from x=0 to x=73/5) [(4(73)^(1/3) - 4x^(1/3) + 1) - (4(x + 4))] dx
A = ∫(from x=0 to x=73/5) [4(73)^(1/3) - 4x^(1/3) - 4x - 15] dx
A = [4(73)^(1/3)x - 4(3/4)x^(4/3) - 2x² - 15x] (from x=0 to x=73/5)
A = 84(73)^(1/3)/5 - 292/5 - 438(73/5)^(4/3)/25 - 621/2
Therefore, the area between the parabolas is approximately 449.428 square units.
A survey of the 12th grade students at gaffigan high school found that 84% of the seniors have their driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?.
The probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.
To find the probability that a senior takes the bus to school every day given that he or she has a driver's license, we can use conditional probability.
Let's denote the event that a senior has a driver's license as A and the event that a senior takes the bus to school every day as B. We want to find the probability of event B given event A, denoted as P(B|A).
We are given the following information:
P(A) = 84% = 0.84 (probability of having a driver's license)P(B) = 16% = 0.16 (probability of taking the bus every day)P(A ∩ B) = 14% = 0.14 (probability of having a driver's license and taking the bus every day)The conditional probability formula states that P(B|A) = P(A ∩ B) / P(A).
Substituting the given values, we have:
P(B|A) = P(A ∩ B) / P(A) = 0.14 / 0.84 ≈ 0.1667
To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.
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The probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.
Explanation:To find the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, we need to use the concept of conditional probability. Conditional probability is the probability of one event happening given that another event has already occurred. In this case, we want to find the probability of taking the bus to school every day, given that the student has a driver’s license.
We can use the formula:
P(A|B) = P(A and B) / P(B)
where P(A|B) is the probability of event A happening given that event B has happened, P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.
In the given problem, 84% of the seniors have driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. We want to find the probability of taking the bus every day, given that the student has a driver’s license.
Plugging in the values into the formula:
P(Taking the bus every day | Having a driver’s license) = P(Taking the bus every day and Having a driver’s license) / P(Having a driver’s license)
P(Taking the bus every day | Having a driver’s license) = 0.14 / 0.84 ≈ 0.1667
To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.
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for a given arithmetic sequence, the first term a1 is equal to 28 and the 93r term is equal to -432 find the value of the 33rd term a33
The 33rd term of the given Arithmetic progression will be -132.
What is an Arithmetic progression?
A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.
Given, first term= a1= 28
and, a93 = -432
we know that, a93 = -432
a + 92d = -432 (where d is the common difference)
28 + 92d = -432
92d = -432-28
= -460
d = -460/92 = -5.
Now, we can find the a33,
a33 = a + 32d
= 28 + (32× -5)
= 28-160
= -132.
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Please help me I will give you extra points and whoever the first one to answer I mark you with the brain thing. 6
Answer:
20 gallons per 10 mintues or 10 gallons per minute so c!
Step-by-step explanation:
We can see the time going up in incriments of 10 and gallons going down in incrimients of 20. This gives us the answer.
(15 pts) Let f(x, y) = 2x² + y² – 2x be defined on the disk D = {(x, y)|x² + y² ≤ 1}. (a) (6 pts) Find the critical points of f(x, y) in the interior of D. (b) (6 pts) Parametrize the boundary
The critical point in the interior of D is (1/2, 0).
(a) To find the critical points of f(x, y) in the interior of D, we need to find the points where the partial derivatives of f with respect to x and y are both zero.
Taking the partial derivative of f with respect to x:
∂f/∂x = 4x - 2
Setting this equal to zero and solving for x:
4x - 2 = 0
4x = 2
x = 1/2
Taking the partial derivative of f with respect to y:
∂f/∂y = 2y
Setting this equal to zero and solving for y:
2y = 0
y = 0
(b) To parametrize the boundary of D, we can use polar coordinates. Let's express x and y in terms of the polar variables r and θ:
x = rcos(θ)
y = rsin(θ)
For the boundary of the disk, we have r = 1. Substituting this into the equations for x and y, we get:
x = cos(θ)
y = sin(θ)
So, the parametric equations for the boundary of D are:
x = cos(θ)
y = sin(θ)
where 0 ≤ θ ≤ 2π.
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While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is
The equation's remaining constant is the answer if the variable term eventually equals zero and the equation can be said to be true.
By isolating the variable on one side of the equation, we can arrive at a numerical value that satisfies the equation. However, in rare circumstances, the variable term may become zero while the equation is being simplified.
When a common factor is eliminated or an expression containing the variable is simplified, this can take place. The equation has a solution, and that solution is the constant value left over if, after removing the variable element, we arrive at a true assertion.
This is due to the equation's ability to be simplified to a declaration of equality between two constants if the variable term is zero. The constant value is the answer to the equation if the aforementioned assertion is accurate.
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what is the 8th term of this sequence 1, -1/2, 1/4, -1/8
Answer:
-1/128
Step-by-step explanation:
1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128
a circle has a radius of 5m. find the length s of the arc intercepted by a central angle of pi/6 radians. do not round any intermediate computations, and round your answer to the nearest tenth.
The length of the arc intercepted by a central angle of pi/6 radians in a circle with a radius of 5 meters is approximately 2.6 meters.
The length of the arc intercepted by a central angle, we can use the formula: s = rθ, where s is the length of the arc, r is the radius of the circle, and θ is the central angle in radians.
Given that the radius of the circle is 5 meters and the central angle is pi/6 radians, we can substitute these values into the formula:
s = (5 meters) * (pi/6 radians)
≈ (5 meters) * (0.5236 radians)
≈ 2.618 meters
Rounding to the nearest tenth, the length of the arc intercepted by a central angle of pi/6 radians in a circle with a radius of 5 meters is approximately 2.6 meters.
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match the correct base shape to each prism. some cards may be used more than once.
Looking at figure A, we have a prism with a triangular base that looks like a right triangle.
Since the prism has a right triangular base, the base shape is a right triangle (shape 5).
Looking at figure B, we have a prism with a pentagonal base.
Since the prism has a pentagonal base, the base shape is a pentagon (shape 1).
Looking at figure C, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
Looking at figure D, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
The point (3,2) reflected in the x-axis is (
,
).
Reflect (3,2) in the y-axis.
The point (3,2) reflected in the y-axis is (
,
).
Answer:
reflected across the x-axis is 3,-2 and the y axis is -3,2
Step-by-step explanation:
When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead
Can someone plz help me quickly !!!!!!!!!!!
Answer:
a. 80
b. 34
Step-by-step explanation:
45 percent of 80 is 36.
85 percent of 40 is 34.
You can find these online, through a Percentages Calculator.
Have a good day and a good rest of 2021. :) Please feel free to give me Brainliest if you feel this helped. It's up to you though :)
Answer:
Step-by-step explanation:
Okay, so I need the one step equation for this question: Lee drove 420 miles and used 15 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline. I really need the one step equation version, as I know the number is 28. Please help me!
Its midpoint please help
Answer:
(-9,-9)
Step-by-step explanation:
B = (-9,-9)
A = (9,-3)
Midpoint M = (0,-6)
Step-by-step explanation:
Here,we have,
(x, y) =M(0,-6)
(x1, y1) =A(9,-3)
(x2, y2) =coordinates of B=?
Using midpoint formula, we get,
x=x1+x2÷2
or, 0=9+x2÷2
or, 0×2=9+x2
or, 0-9=x2
or, x2=-9
therefore, x2=-9
Now,
y=y1+y2÷2
or, -6=-3+y2÷2
or, -6×2=-3+y2
or, -12+3=y2
or, y2=-9
therefore, y2=-9
Hence, the coordinates of B are (-9, -9)..
Find the y-intercept and the slope of the line.
y=-3/2x-5/4
What is the slope:
Answer:
The equation of the line is in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.
Comparing the given equation y = (-3/2)x - (5/4) with the slope-intercept form, we can see that the y-intercept is -5/4 and the slope of the line is -3/2.
Therefore, the slope of the line is -3/2.
(x-5)^2 - (x+1)^2+ (x+3)*(x-3)
Step-by-step explanation:
here's the answer to your question
for this lesson, you will come up with your own challenging algorithm for other students to trace. it must contain at least 4 if statements, 1 else statement and use at least one and or or boolean condition. note: elif statements will not count - your statements must be if statements. each if statement should use a unique variable name. for this challenge, try reading 3 or 4 of your classmates' code as well. trace their code and predict what it will output, then check the code by running it to see if you got it right, and submit your work for a grade.
By using Python, you will come up with your own challenging algorithm for other students to trace.
What are If else Statements ?If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.
The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.
These conditional statements are available in Python:
If you want a block of code to run only if a certain condition is true, use the if statement.
If the same expression is false, use instead that to provide a set of instructions that should be run.
If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.
To choose which of the several program code should be performed, use the switch.
How to write the code?
num = 100
if num < 20:
print('Less than 20')
if num < 30:
print('Less than 30')
if num < 40:
print('Less than 40')
if num < 50:
print('Less than 50')
if num > 100 or num == 100:
print('More than or equal to 100')
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Differentiate. G(x)=(8x ^{2} +7)(2x+ √x ) G(x)=
Let's denote the first function as f(x) = 8x^2 + 7 and the second function as g(x) = 2x + √x. To differentiate G(x) = (8x^2 + 7)(2x + √x), we use the product rule.
To differentiate the given function G(x), we apply the product rule, which states that the derivative of the product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function.
Let's denote the first function as f(x) = 8x^2 + 7 and the second function as g(x) = 2x + √x.
Using the product rule, we differentiate G(x) as follows:
G'(x) = f(x) * g'(x) + g(x) * f'(x),
where f'(x) represents the derivative of f(x) and g'(x) represents the derivative of g(x).
Differentiating the functions f(x) and g(x) gives us:
f'(x) = 16x,
g'(x) = 2 + (1/2)√x.
Substituting these derivatives into the product rule equation, we have:
G'(x) = (8x^2 + 7)(2 + (1/2)√x) + (2x + √x)(16x).
Simplifying the expression yields the derivative of G(x).
Therefore, G'(x) = (8x^2 + 7)(2 + (1/2)√x) + (2x + √x)(16x).
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A company sells video games.
The amount of profil, y, that is
made by the company is related
to the selling price of each
video game, x. Given the
equation below, find the
maximum amount of profit, to the
nearest dollar.
y=-9x² +571x-3884
1. Your mother said you could have new carpeting in your room if you compute
the amount of carpeting needed and the cost. The length of your room is 18.5
feet and the width is 17 feet. The cost of a medium grade of carpeting is $20 per
square yard.
a. How much carpeting will you need for your room?
b. How much will it cost to recarpet your room?
Answer:
A) 34.94444 square yards
B) $698.89
Step-by-step explanation:
17x18.5=314.5 square feet
314.5÷9=34.94444 square yards
a) 34.94444 square yards
34.94444x20=698.8888
b) $698.89
Please help due ASAP
Answer:
A.
The scale factor of triangle ABC to DEF is 3.
AC= 1/3 of 15, which is 5.
EF = 3x7, which is 21.
Solve the system of linear equations by graphing y=-1/2x+6 and y=1/2x+6
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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what is the critical value t* which satisfies the condition that the t distribution with 8 degrees of freedom has probability 0.10 to the right of t*?
To find the critical value t* for a t-distribution with 8 degrees of freedom, we need to use a t-table or a calculator with a t-distribution function. We want to find the value of t* such that the probability of getting a t-value greater than t* is 0.10 (or 10%).
Using a t-table, we can look for the row corresponding to 8 degrees of freedom and find the column that has a probability closest to 0.10. The closest probability in the table is 0.1002, which corresponds to a t-value of 1.859. Therefore, the critical value t* for a t-distribution with 8 degrees of freedom and a probability of 0.10 to the right of t* is approximately 1.859.
Alternatively, we can use a calculator with a t-distribution function to find the critical value. We can input the degrees of freedom (8) and the probability to the right of the critical value (0.10) into the calculator. The result is approximately 1.859.
In conclusion, the critical value t* for a t-distribution with 8 degrees of freedom and a probability of 0.10 to the right of t* is approximately 1.859.
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What is the length of AC?
The length of AC for the given similar triangles ABD and ACD is 5.9 units.
Define the term similarity of triangle?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles equal similar, their corresponding sides are proportionately equal and respective corresponding angles are congruent.For the given triangles ABD and ACD are similar.
Then, ratios of sides will be equal.
2.8/3 = 5.5/AD
AC = 5.5*3/2.8
AC = 5.9
Thus, the length of AC for the given similar triangles ABD and ACD is 5.9 units.
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Please help me solve this, random answers will be removed
Answer:
m∠B ≈ 70.8°
Step-by-step explanation:
The Law of Cosines relates three sides of a triangle and the angle opposite one of them.
SetupThe law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Solving for angle B, we get ...
B = arccos((a² +c² -b²)/(2ac))
where 'a' and 'c' are the sides adjacent to the angle of interest. We want angle B, so we can fill this formula as follows:
B = arccos((13² +11² -14²)/(2·13·11))
SolutionB = arccos(94/286)
B ≈ 70.812°
__
Additional comment
Another angle can be found using the Law of Sines.
A = arcsin(sin(70.812°)×13/14) ≈ 61.281°
Then angle C is ...
C = 180° -70.812° -61.281° = 47.907°
Solve 6 - 5x = 7 + 3x
Answer:
hol up
x=-1/8 negative one over eight
Step-by-step explanation:
0.2 divided by what equals -1